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<div class="subTitle">org.apache.commons.math3.transform</div>
<h2 title="Class FastFourierTransformer" class="title">Class FastFourierTransformer</h2>
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<pre>public class <span class="strong">FastFourierTransformer</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="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 Fast Fourier Transform for transformation of one-dimensional
real or complex data sets. For reference, see <em>Applied Numerical Linear
Algebra</em>, ISBN 0898713897, chapter 6.
<p>
There are several variants of the discrete Fourier transform, with various
normalization conventions, which are specified by the parameter
<a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform"><code>DftNormalization</code></a>.
<p>
The current implementation of the discrete Fourier transform as a fast
Fourier transform requires the length of the data set to be a power of 2.
This greatly simplifies and speeds up the code. Users can pad the data with
zeros to meet this requirement. There are other flavors of FFT, for
reference, see S. Winograd,
<i>On computing the discrete Fourier transform</i>, Mathematics of
Computation, 32 (1978), 175 - 199.</div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>1.2</dd>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: FastFourierTransformer.java 1385310 2012-09-16 16:32:10Z tn $</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform"><code>DftNormalization</code></a>,
<a href="../../../../../serialized-form.html#org.apache.commons.math3.transform.FastFourierTransformer">Serialized Form</a></dd></dl>
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<th class="colOne" scope="col">Constructor and Description</th>
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<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#FastFourierTransformer(org.apache.commons.math3.transform.DftNormalization)">FastFourierTransformer</a></strong>(<a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform">DftNormalization</a>&nbsp;normalization)</code>
<div class="block">Creates a new instance of this class, with various normalization
conventions.</div>
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<td class="colFirst"><code><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></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#mdfft(java.lang.Object, org.apache.commons.math3.transform.TransformType)">mdfft</a></strong>(<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>&nbsp;mdca,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;
<div class="block"><i>see MATH-736</i></div>
</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#transform(org.apache.commons.math3.complex.Complex[], org.apache.commons.math3.transform.TransformType)">transform</a></strong>(<a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]&nbsp;f,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</code>
<div class="block">Returns the (forward, inverse) transform of the specified complex data set.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#transform(double[], org.apache.commons.math3.transform.TransformType)">transform</a></strong>(double[]&nbsp;f,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</code>
<div class="block">Returns the (forward, inverse) transform of the specified real data set.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#transform(org.apache.commons.math3.analysis.UnivariateFunction, double, double, int, org.apache.commons.math3.transform.TransformType)">transform</a></strong>(<a href="../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a>&nbsp;f,
double&nbsp;min,
double&nbsp;max,
int&nbsp;n,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</code>
<div class="block">Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#transformInPlace(double[][], org.apache.commons.math3.transform.DftNormalization, org.apache.commons.math3.transform.TransformType)">transformInPlace</a></strong>(double[][]&nbsp;dataRI,
<a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform">DftNormalization</a>&nbsp;normalization,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</code>
<div class="block">Computes the standard transform of the specified complex data.</div>
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<h4>FastFourierTransformer</h4>
<pre>public&nbsp;FastFourierTransformer(<a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform">DftNormalization</a>&nbsp;normalization)</pre>
<div class="block">Creates a new instance of this class, with various normalization
conventions.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>normalization</code> - the type of normalization to be applied to the
transformed data</dd></dl>
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<h4>transformInPlace</h4>
<pre>public static&nbsp;void&nbsp;transformInPlace(double[][]&nbsp;dataRI,
<a href="../../../../../org/apache/commons/math3/transform/DftNormalization.html" title="enum in org.apache.commons.math3.transform">DftNormalization</a>&nbsp;normalization,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</pre>
<div class="block">Computes the standard transform of the specified complex data. The
computation is done in place. The input data is laid out as follows
<ul>
<li><code>dataRI[0][i]</code> is the real part of the <code>i</code>-th data point,</li>
<li><code>dataRI[1][i]</code> is the imaginary part of the <code>i</code>-th data point.</li>
</ul></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>dataRI</code> - the two dimensional array of real and imaginary parts of the data</dd><dd><code>normalization</code> - the normalization to be applied to the transformed data</dd><dd><code>type</code> - the type of transform (forward, inverse) to be performed</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 number of rows of the specified
array is not two, or the array is not rectangular</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the number of data points is not
a power of two</dd></dl>
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<h4>transform</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]&nbsp;transform(double[]&nbsp;f,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</pre>
<div class="block">Returns the (forward, inverse) transform of the specified real data set.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>f</code> - the real data array to be transformed</dd><dd><code>type</code> - the type of transform (forward, inverse) to be performed</dd>
<dt><span class="strong">Returns:</span></dt><dd>the complex transformed array</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the length of the data array is not a power of two</dd></dl>
</li>
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<h4>transform</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]&nbsp;transform(<a href="../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a>&nbsp;f,
double&nbsp;min,
double&nbsp;max,
int&nbsp;n,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</pre>
<div class="block">Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>f</code> - the function to be sampled and transformed</dd><dd><code>min</code> - the (inclusive) lower bound for the interval</dd><dd><code>max</code> - the (exclusive) upper bound for the interval</dd><dd><code>n</code> - the number of sample points</dd><dd><code>type</code> - the type of transform (forward, inverse) to be performed</dd>
<dt><span class="strong">Returns:</span></dt><dd>the complex transformed array</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if the lower bound is greater than, or equal to the upper bound</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if the number of sample points <code>n</code> is negative</dd>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the number of sample points
<code>n</code> is not a power of two</dd></dl>
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<h4>transform</h4>
<pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]&nbsp;transform(<a href="../../../../../org/apache/commons/math3/complex/Complex.html" title="class in org.apache.commons.math3.complex">Complex</a>[]&nbsp;f,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</pre>
<div class="block">Returns the (forward, inverse) transform of the specified complex data set.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>f</code> - the complex data array to be transformed</dd><dd><code>type</code> - the type of transform (forward, inverse) to be performed</dd>
<dt><span class="strong">Returns:</span></dt><dd>the complex transformed array</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the length of the data array is not a power of two</dd></dl>
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<h4>mdfft</h4>
<pre><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;<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>&nbsp;mdfft(<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>&nbsp;mdca,
<a href="../../../../../org/apache/commons/math3/transform/TransformType.html" title="enum in org.apache.commons.math3.transform">TransformType</a>&nbsp;type)</pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>see MATH-736</i></div>
<div class="block">Performs a multi-dimensional Fourier transform on a given array. Use
<a href="../../../../../org/apache/commons/math3/transform/FastFourierTransformer.html#transform(org.apache.commons.math3.complex.Complex[], org.apache.commons.math3.transform.TransformType)"><code>transform(Complex[], TransformType)</code></a> in a row-column
implementation in any number of dimensions with
O(N&times;log(N)) complexity with
N = n<sub>1</sub> &times; n<sub>2</sub> &times;n<sub>3</sub> &times; ...
&times; n<sub>d</sub>, where n<sub>k</sub> is the number of elements in
dimension k, and d is the total number of dimensions.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>mdca</code> - Multi-Dimensional Complex Array, i.e. <code>Complex[][][][]</code></dd><dd><code>type</code> - the type of transform (forward, inverse) to be performed</dd>
<dt><span class="strong">Returns:</span></dt><dd>transform of <code>mdca</code> as a Multi-Dimensional Complex Array, i.e. <code>Complex[][][][]</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if any dimension is not a power of two</dd></dl>
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