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| <div class="subTitle">org.apache.commons.math3.analysis.interpolation</div> |
| <h2 title="Class FieldHermiteInterpolator" class="title">Class FieldHermiteInterpolator<T extends <a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a><T>></h2> |
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| <ul class="inheritance"> |
| <li>org.apache.commons.math3.analysis.interpolation.FieldHermiteInterpolator<T></li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
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| <dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>T</code> - Type of the field elements.</dd></dl> |
| <hr> |
| <br> |
| <pre>public class <span class="strong">FieldHermiteInterpolator<T extends <a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a><T>></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></pre> |
| <div class="block">Polynomial interpolator using both sample values and sample derivatives. |
| <p> |
| The interpolation polynomials match all sample points, including both values |
| and provided derivatives. There is one polynomial for each component of |
| the values vector. All polynomials have the same degree. The degree of the |
| polynomials depends on the number of points and number of derivatives at each |
| point. For example the interpolation polynomials for n sample points without |
| any derivatives all have degree n-1. The interpolation polynomials for n |
| sample points with the two extreme points having value and first derivative |
| and the remaining points having value only all have degree n+1. The |
| interpolation polynomial for n sample points with value, first and second |
| derivative for all points all have degree 3n-1. |
| </p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>3.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: FieldHermiteInterpolator.java 1455194 2013-03-11 15:45:54Z luc $</dd></dl> |
| </li> |
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| <h3>Constructor Summary</h3> |
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| <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/interpolation/FieldHermiteInterpolator.html#FieldHermiteInterpolator()">FieldHermiteInterpolator</a></strong>()</code> |
| <div class="block">Create an empty interpolator.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
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| <th class="colFirst" scope="col">Modifier and Type</th> |
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| <tr class="altColor"> |
| <td class="colFirst"><code>void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html#addSamplePoint(T, T[]...)">addSamplePoint</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x, |
| <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[]... value)</code> |
| <div class="block">Add a sample point.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[][]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html#derivatives(T, int)">derivatives</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x, |
| int order)</code> |
| <div class="block">Interpolate value and first derivatives at a specified abscissa.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html#value(T)">value</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x)</code> |
| <div class="block">Interpolate value at a specified abscissa.</div> |
| </td> |
| </tr> |
| </table> |
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| <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> |
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| <h3>Constructor Detail</h3> |
| <a name="FieldHermiteInterpolator()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>FieldHermiteInterpolator</h4> |
| <pre>public FieldHermiteInterpolator()</pre> |
| <div class="block">Create an empty interpolator.</div> |
| </li> |
| </ul> |
| </li> |
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| <a name="addSamplePoint(org.apache.commons.math3.FieldElement,org.apache.commons.math3.FieldElement[][])"> |
| <!-- --> |
| </a><a name="addSamplePoint(T, T[]...)"> |
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| </a> |
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| <h4>addSamplePoint</h4> |
| <pre>public void addSamplePoint(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x, |
| <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[]... value) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a>, |
| <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/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre> |
| <div class="block">Add a sample point. |
| <p> |
| This method must be called once for each sample point. It is allowed to |
| mix some calls with values only with calls with values and first |
| derivatives. |
| </p> |
| <p> |
| The point abscissae for all calls <em>must</em> be different. |
| </p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - abscissa of the sample point</dd><dd><code>value</code> - value and derivatives of the sample point |
| (if only one row is passed, it is the value, if two rows are |
| passed the first one is the value and the second the derivative |
| and so on)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code> - if the abscissa difference between added point |
| and a previous point is zero (i.e. the two points are at same abscissa)</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the number of derivatives is larger |
| than 20, which prevents computation of a factorial</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if derivative structures are inconsistent</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if x is null</dd></dl> |
| </li> |
| </ul> |
| <a name="value(org.apache.commons.math3.FieldElement)"> |
| <!-- --> |
| </a><a name="value(T)"> |
| <!-- --> |
| </a> |
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| <h4>value</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[] value(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre> |
| <div class="block">Interpolate value at a specified abscissa.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - interpolation abscissa</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>interpolated value</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if sample is empty</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if x is null</dd></dl> |
| </li> |
| </ul> |
| <a name="derivatives(org.apache.commons.math3.FieldElement,int)"> |
| <!-- --> |
| </a><a name="derivatives(T, int)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
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| <h4>derivatives</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a>[][] derivatives(<a href="../../../../../../org/apache/commons/math3/analysis/interpolation/FieldHermiteInterpolator.html" title="type parameter in FieldHermiteInterpolator">T</a> x, |
| int order) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre> |
| <div class="block">Interpolate value and first derivatives at a specified abscissa.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - interpolation abscissa</dd><dd><code>order</code> - maximum derivation order</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>interpolated value and derivatives (value in row 0, |
| 1<sup>st</sup> derivative in row 1, ... n<sup>th</sup> derivative in row n)</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if sample is empty</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if x is null</dd></dl> |
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