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| <div class="subTitle">org.apache.commons.math3.analysis.polynomials</div> |
| <h2 title="Class PolynomialSplineFunction" class="title">Class PolynomialSplineFunction</h2> |
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| <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> |
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| <ul class="inheritance"> |
| <li>org.apache.commons.math3.analysis.polynomials.PolynomialSplineFunction</li> |
| </ul> |
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| <dl> |
| <dt>All Implemented Interfaces:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/analysis/DifferentiableUnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">DifferentiableUnivariateFunction</a>, <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableFunction</a>, <a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a></dd> |
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| <br> |
| <pre>public class <span class="strong">PolynomialSplineFunction</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/differentiation/UnivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableFunction</a>, <a href="../../../../../../org/apache/commons/math3/analysis/DifferentiableUnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">DifferentiableUnivariateFunction</a></pre> |
| <div class="block">Represents a polynomial spline function. |
| <p> |
| A <strong>polynomial spline function</strong> consists of a set of |
| <i>interpolating polynomials</i> and an ascending array of domain |
| <i>knot points</i>, determining the intervals over which the spline function |
| is defined by the constituent polynomials. The polynomials are assumed to |
| have been computed to match the values of another function at the knot |
| points. The value consistency constraints are not currently enforced by |
| <code>PolynomialSplineFunction</code> itself, but are assumed to hold among |
| the polynomials and knot points passed to the constructor.</p> |
| <p> |
| N.B.: The polynomials in the <code>polynomials</code> property must be |
| centered on the knot points to compute the spline function values. |
| See below.</p> |
| <p> |
| The domain of the polynomial spline function is |
| <code>[smallest knot, largest knot]</code>. Attempts to evaluate the |
| function at values outside of this range generate IllegalArgumentExceptions. |
| </p> |
| <p> |
| The value of the polynomial spline function for an argument <code>x</code> |
| is computed as follows: |
| <ol> |
| <li>The knot array is searched to find the segment to which <code>x</code> |
| belongs. If <code>x</code> is less than the smallest knot point or greater |
| than the largest one, an <code>IllegalArgumentException</code> |
| is thrown.</li> |
| <li> Let <code>j</code> be the index of the largest knot point that is less |
| than or equal to <code>x</code>. The value returned is <br> |
| <code>polynomials[j](x - knot[j])</code></li></ol></p></div> |
| <dl><dt><span class="strong">Version:</span></dt> |
| <dd>$Id: PolynomialSplineFunction.java 1491625 2013-06-10 22:22:31Z erans $</dd></dl> |
| </li> |
| </ul> |
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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/polynomials/PolynomialSplineFunction.html#PolynomialSplineFunction(double[], org.apache.commons.math3.analysis.polynomials.PolynomialFunction[])">PolynomialSplineFunction</a></strong>(double[] knots, |
| <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[] polynomials)</code> |
| <div class="block">Construct a polynomial spline function with the given segment delimiters |
| and interpolating polynomials.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
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| <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><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#derivative()">derivative</a></strong>()</code> |
| <div class="block">Get the derivative of the polynomial spline function.</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/PolynomialSplineFunction.html#getKnots()">getKnots</a></strong>()</code> |
| <div class="block">Get an array copy of the knot points.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>int</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#getN()">getN</a></strong>()</code> |
| <div class="block">Get the number of spline segments.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#getPolynomials()">getPolynomials</a></strong>()</code> |
| <div class="block">Get a copy of the interpolating polynomials array.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#isValidPoint(double)">isValidPoint</a></strong>(double x)</code> |
| <div class="block">Indicates whether a point is within the interpolation range.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialSplineFunction</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#polynomialSplineDerivative()">polynomialSplineDerivative</a></strong>()</code> |
| <div class="block">Get the derivative of the polynomial spline function.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html#value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">value</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a> t)</code> |
| <div class="block">Simple mathematical function.</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/PolynomialSplineFunction.html#value(double)">value</a></strong>(double v)</code> |
| <div class="block">Compute the value for the function.</div> |
| </td> |
| </tr> |
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| <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"> |
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| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
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| </a> |
| <h3>Constructor Detail</h3> |
| <a name="PolynomialSplineFunction(double[], org.apache.commons.math3.analysis.polynomials.PolynomialFunction[])"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
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| <h4>PolynomialSplineFunction</h4> |
| <pre>public PolynomialSplineFunction(double[] knots, |
| <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[] polynomials) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</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/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</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 polynomial spline function with the given segment delimiters |
| and interpolating polynomials. |
| The constructor copies both arrays and assigns the copies to the knots |
| and polynomials properties, respectively.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>knots</code> - Spline segment interval delimiters.</dd><dd><code>polynomials</code> - Polynomial functions that make up the spline.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if either of the input arrays is <code>null</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if knots has length less than 2.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if <code>polynomials.length != knots.length - 1</code>.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></code> - if the <code>knots</code> array is not strictly increasing.</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
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| <li class="blockList"><a name="method_detail"> |
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| </a> |
| <h3>Method Detail</h3> |
| <a name="value(double)"> |
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| <li class="blockList"> |
| <h4>value</h4> |
| <pre>public double value(double v)</pre> |
| <div class="block">Compute the value for the function. |
| See <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html" title="class in org.apache.commons.math3.analysis.polynomials"><code>PolynomialSplineFunction</code></a> for details on the algorithm for |
| computing the value of the function.</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>v</code> - Point for which the function value should be computed.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the value.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>v</code> is outside of the domain of the |
| spline function (smaller than the smallest knot point or larger than the |
| largest knot point).</dd></dl> |
| </li> |
| </ul> |
| <a name="derivative()"> |
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| </a> |
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| <h4>derivative</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a> derivative()</pre> |
| <div class="block">Get the derivative of the polynomial spline function.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/analysis/DifferentiableUnivariateFunction.html#derivative()">derivative</a></code> in interface <code><a href="../../../../../../org/apache/commons/math3/analysis/DifferentiableUnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">DifferentiableUnivariateFunction</a></code></dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the derivative function.</dd></dl> |
| </li> |
| </ul> |
| <a name="polynomialSplineDerivative()"> |
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| </a> |
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| <h4>polynomialSplineDerivative</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialSplineFunction</a> polynomialSplineDerivative()</pre> |
| <div class="block">Get the derivative of the polynomial spline function.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the derivative function.</dd></dl> |
| </li> |
| </ul> |
| <a name="value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)"> |
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| </a> |
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| <h4>value</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a> value(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a> t)</pre> |
| <div class="block">Simple mathematical function. |
| <p><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation"><code>UnivariateDifferentiableFunction</code></a> classes compute both the |
| value and the first derivative of the function.</p></div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableFunction.html#value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">value</a></code> in interface <code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableFunction</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>t</code> - function input value</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>function result</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.1</dd></dl> |
| </li> |
| </ul> |
| <a name="getN()"> |
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| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getN</h4> |
| <pre>public int getN()</pre> |
| <div class="block">Get the number of spline segments. |
| It is also the number of polynomials and the number of knot points - 1.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the number of spline segments.</dd></dl> |
| </li> |
| </ul> |
| <a name="getPolynomials()"> |
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| </a> |
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| <h4>getPolynomials</h4> |
| <pre>public <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[] getPolynomials()</pre> |
| <div class="block">Get a copy of the interpolating polynomials array. |
| It returns a fresh copy of the array. Changes made to the copy will |
| not affect the polynomials property.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the interpolating polynomials.</dd></dl> |
| </li> |
| </ul> |
| <a name="getKnots()"> |
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| </a> |
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| <h4>getKnots</h4> |
| <pre>public double[] getKnots()</pre> |
| <div class="block">Get an array copy of the knot points. |
| It returns a fresh copy of the array. Changes made to the copy |
| will not affect the knots property.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the knot points.</dd></dl> |
| </li> |
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| <a name="isValidPoint(double)"> |
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| <h4>isValidPoint</h4> |
| <pre>public boolean isValidPoint(double x)</pre> |
| <div class="block">Indicates whether a point is within the interpolation range.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - Point.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd><code>true</code> if <code>x</code> is a valid point.</dd></dl> |
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