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| <div class="subTitle">org.apache.commons.math3.analysis.interpolation</div> |
| <h2 title="Class DividedDifferenceInterpolator" class="title">Class DividedDifferenceInterpolator</h2> |
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| <li>org.apache.commons.math3.analysis.interpolation.DividedDifferenceInterpolator</li> |
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| <pre>public class <span class="strong">DividedDifferenceInterpolator</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/interpolation/UnivariateInterpolator.html" title="interface in org.apache.commons.math3.analysis.interpolation">UnivariateInterpolator</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre> |
| <div class="block">Implements the <a href=" |
| http://mathworld.wolfram.com/NewtonsDividedDifferenceInterpolationFormula.html"> |
| Divided Difference Algorithm</a> for interpolation of real univariate |
| functions. For reference, see <b>Introduction to Numerical Analysis</b>, |
| ISBN 038795452X, chapter 2. |
| <p> |
| The actual code of Neville's evaluation is in PolynomialFunctionLagrangeForm, |
| this class provides an easy-to-use interface to it.</p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: DividedDifferenceInterpolator.java 1385313 2012-09-16 16:35:23Z tn $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../serialized-form.html#org.apache.commons.math3.analysis.interpolation.DividedDifferenceInterpolator">Serialized Form</a></dd></dl> |
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| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/DividedDifferenceInterpolator.html#DividedDifferenceInterpolator()">DividedDifferenceInterpolator</a></strong>()</code> </td> |
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| <td class="colFirst"><code>protected static double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/DividedDifferenceInterpolator.html#computeDividedDifference(double[], double[])">computeDividedDifference</a></strong>(double[] x, |
| double[] y)</code> |
| <div class="block">Return a copy of the divided difference array.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionNewtonForm.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunctionNewtonForm</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/DividedDifferenceInterpolator.html#interpolate(double[], double[])">interpolate</a></strong>(double[] x, |
| double[] y)</code> |
| <div class="block">Compute an interpolating function for the dataset.</div> |
| </td> |
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| <h4>DividedDifferenceInterpolator</h4> |
| <pre>public DividedDifferenceInterpolator()</pre> |
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| <h4>interpolate</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionNewtonForm.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunctionNewtonForm</a> interpolate(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">Compute an interpolating function for the dataset.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/UnivariateInterpolator.html#interpolate(double[], double[])">interpolate</a></code> in interface <code><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/UnivariateInterpolator.html" title="interface in org.apache.commons.math3.analysis.interpolation">UnivariateInterpolator</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - Interpolating points array.</dd><dd><code>y</code> - Interpolating values array.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>a function which interpolates the dataset.</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.</dd></dl> |
| </li> |
| </ul> |
| <a name="computeDividedDifference(double[], double[])"> |
| <!-- --> |
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| <h4>computeDividedDifference</h4> |
| <pre>protected static double[] computeDividedDifference(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">Return a copy of the divided difference array. |
| <p> |
| The divided difference array is defined recursively by <pre> |
| f[x0] = f(x0) |
| f[x0,x1,...,xk] = (f[x1,...,xk] - f[x0,...,x[k-1]]) / (xk - x0) |
| </pre></p> |
| <p> |
| The computational complexity is O(N^2).</p></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> |
| <dt><span class="strong">Returns:</span></dt><dd>a fresh copy of the divided difference array.</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.</dd></dl> |
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