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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> <!--NewPage--> <HTML> <HEAD> <!-- Generated by javadoc (build 1.6.0_17) on Sat Mar 27 22:46:16 EDT 2010 --> <META http-equiv="Content-Type" content="text/html; charset=UTF-8"> <TITLE> FastFourierTransformer (Commons Math 2.1 API) </TITLE> <META NAME="date" CONTENT="2010-03-27"> <LINK REL ="stylesheet" TYPE="text/css" HREF="../../../../../stylesheet.css" TITLE="Style"> <SCRIPT type="text/javascript"> function windowTitle() { if (location.href.indexOf('is-external=true') == -1) { parent.document.title="FastFourierTransformer (Commons Math 2.1 API)"; } } </SCRIPT> <NOSCRIPT> </NOSCRIPT> </HEAD> <BODY BGCOLOR="white" onload="windowTitle();"> <HR> <!-- ========= START OF TOP NAVBAR ======= --> <A NAME="navbar_top"><!-- --></A> <A HREF="#skip-navbar_top" title="Skip navigation links"></A> <TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""> <TR> <TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A NAME="navbar_top_firstrow"><!-- --></A> <TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY=""> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A> </TD> <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="class-use/FastFourierTransformer.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD> </TR> </TABLE> </TD> <TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM> </EM> </TD> </TR> <TR> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.html" title="class in org.apache.commons.math.transform"><B>PREV CLASS</B></A> <A HREF="../../../../../org/apache/commons/math/transform/FastHadamardTransformer.html" title="class in org.apache.commons.math.transform"><B>NEXT CLASS</B></A></FONT></TD> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../index.html?org/apache/commons/math/transform/FastFourierTransformer.html" target="_top"><B>FRAMES</B></A> <A HREF="FastFourierTransformer.html" target="_top"><B>NO FRAMES</B></A> <SCRIPT type="text/javascript"> <!-- if(window==top) { document.writeln('<A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>'); } //--> </SCRIPT> <NOSCRIPT> <A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A> </NOSCRIPT> </FONT></TD> </TR> <TR> <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: NESTED | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD> <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD> </TR> </TABLE> <A NAME="skip-navbar_top"></A> <!-- ========= END OF TOP NAVBAR ========= --> <HR> <!-- ======== START OF CLASS DATA ======== --> <H2> <FONT SIZE="-1"> org.apache.commons.math.transform</FONT> <BR> Class FastFourierTransformer</H2> <PRE> <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A> <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math.transform.FastFourierTransformer</B> </PRE> <DL> <DT><B>All Implemented Interfaces:</B> <DD><A HREF="http://java.sun.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</A></DD> </DL> <HR> <DL> <DT><PRE>public class <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.46"><B>FastFourierTransformer</B></A><DT>extends <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A><DT>implements <A HREF="http://java.sun.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</A></DL> </PRE> <P> Implements the <a href="http://mathworld.wolfram.com/FastFourierTransform.html"> Fast Fourier Transform</a> for transformation of one-dimensional data sets. For reference, see <b>Applied Numerical Linear Algebra</b>, ISBN 0898713897, chapter 6. <p> There are several conventions for the definition of FFT and inverse FFT, mainly on different coefficient and exponent. Here the equations are listed in the comments of the corresponding methods.</p> <p> We require the length of data set to be 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.</p> <P> <P> <DL> <DT><B>Since:</B></DT> <DD>1.2</DD> <DT><B>Version:</B></DT> <DD>$Revision: 885278 $ $Date: 2009-11-29 16:47:51 -0500 (Sun, 29 Nov 2009) $</DD> <DT><B>See Also:</B><DD><A HREF="../../../../../serialized-form.html#org.apache.commons.math.transform.FastFourierTransformer">Serialized Form</A></DL> <HR> <P> <!-- ======== CONSTRUCTOR SUMMARY ======== --> <A NAME="constructor_summary"><!-- --></A> <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""> <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"> <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"> <B>Constructor Summary</B></FONT></TH> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#FastFourierTransformer()">FastFourierTransformer</A></B>()</CODE> <BR> Construct a default transformer.</TD> </TR> </TABLE> <!-- ========== METHOD SUMMARY =========== --> <A NAME="method_summary"><!-- --></A> <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""> <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"> <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"> <B>Method Summary</B></FONT></TH> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#fft(org.apache.commons.math.complex.Complex[])">fft</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] data)</CODE> <BR> Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#fft(double[], boolean)">fft</A></B>(double[] f, boolean isInverse)</CODE> <BR> Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform(org.apache.commons.math.complex.Complex[])">inversetransform</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f)</CODE> <BR> Inversely transform the given complex data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform(double[])">inversetransform</A></B>(double[] f)</CODE> <BR> Inversely transform the given real data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">inversetransform</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n)</CODE> <BR> Inversely transform the given real function, sampled on the given interval.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(org.apache.commons.math.complex.Complex[])">inversetransform2</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f)</CODE> <BR> Inversely transform the given complex data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(double[])">inversetransform2</A></B>(double[] f)</CODE> <BR> Inversely transform the given real data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">inversetransform2</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n)</CODE> <BR> Inversely transform the given real function, sampled on the given interval.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static boolean</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#isPowerOf2(long)">isPowerOf2</A></B>(long n)</CODE> <BR> Returns true if the argument is power of 2.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#mdfft(java.lang.Object, boolean)">mdfft</A></B>(<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A> mdca, boolean forward)</CODE> <BR> Performs a multi-dimensional Fourier transform on a given array.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#sample(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">sample</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n)</CODE> <BR> Sample the given univariate real function on the given interval.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#scaleArray(org.apache.commons.math.complex.Complex[], double)">scaleArray</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f, double d)</CODE> <BR> Multiply every component in the given complex array by the given real number.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#scaleArray(double[], double)">scaleArray</A></B>(double[] f, double d)</CODE> <BR> Multiply every component in the given real array by the given real number.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform(org.apache.commons.math.complex.Complex[])">transform</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f)</CODE> <BR> Transform the given complex data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform(double[])">transform</A></B>(double[] f)</CODE> <BR> Transform the given real data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">transform</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n)</CODE> <BR> Transform the given real function, sampled on the given interval.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform2(org.apache.commons.math.complex.Complex[])">transform2</A></B>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f)</CODE> <BR> Transform the given complex data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform2(double[])">transform2</A></B>(double[] f)</CODE> <BR> Transform the given real data set.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">transform2</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n)</CODE> <BR> Transform the given real function, sampled on the given interval.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static void</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#verifyDataSet(double[])">verifyDataSet</A></B>(double[] d)</CODE> <BR> Verifies that the data set has length of power of 2.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static void</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#verifyDataSet(java.lang.Object[])">verifyDataSet</A></B>(<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[] o)</CODE> <BR> Verifies that the data set has length of power of 2.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE>static void</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#verifyInterval(double, double)">verifyInterval</A></B>(double lower, double upper)</CODE> <BR> Verifies that the endpoints specify an interval.</TD> </TR> </TABLE> <A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A> <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""> <TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor"> <TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD><CODE><A HREF="http://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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://java.sun.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></TD> </TR> </TABLE> <P> <!-- ========= CONSTRUCTOR DETAIL ======== --> <A NAME="constructor_detail"><!-- --></A> <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""> <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"> <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"> <B>Constructor Detail</B></FONT></TH> </TR> </TABLE> <A NAME="FastFourierTransformer()"><!-- --></A><H3> FastFourierTransformer</H3> <PRE> public <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.73"><B>FastFourierTransformer</B></A>()</PRE> <DL> <DD>Construct a default transformer. <P> </DL> <!-- ============ METHOD DETAIL ========== --> <A NAME="method_detail"><!-- --></A> <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""> <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"> <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"> <B>Method Detail</B></FONT></TH> </TR> </TABLE> <A NAME="transform(double[])"><!-- --></A><H3> transform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.87"><B>transform</B></A>(double[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given real data set. <p> The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be transformed <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="transform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3> transform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.107"><B>transform</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given real function, sampled on the given interval. <p> The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the function to be sampled and transformed<DD><CODE>min</CODE> - the lower bound for the interval<DD><CODE>max</CODE> - the upper bound for the interval<DD><CODE>n</CODE> - the number of sample points <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if function cannot be evaluated at some point <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="transform(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3> transform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.124"><B>transform</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given complex data set. <p> The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be transformed <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="transform2(double[])"><!-- --></A><H3> transform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.140"><B>transform2</B></A>(double[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given real data set. <p> The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be transformed <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="transform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3> transform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.162"><B>transform2</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given real function, sampled on the given interval. <p> The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the function to be sampled and transformed<DD><CODE>min</CODE> - the lower bound for the interval<DD><CODE>max</CODE> - the upper bound for the interval<DD><CODE>n</CODE> - the number of sample points <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if function cannot be evaluated at some point <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="transform2(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3> transform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.181"><B>transform2</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Transform the given complex data set. <p> The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be transformed <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform(double[])"><!-- --></A><H3> inversetransform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.199"><B>inversetransform</B></A>(double[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given real data set. <p> The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be inversely transformed <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3> inversetransform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.221"><B>inversetransform</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given real function, sampled on the given interval. <p> The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the function to be sampled and inversely transformed<DD><CODE>min</CODE> - the lower bound for the interval<DD><CODE>max</CODE> - the upper bound for the interval<DD><CODE>n</CODE> - the number of sample points <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if function cannot be evaluated at some point <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3> inversetransform</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.240"><B>inversetransform</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given complex data set. <p> The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be inversely transformed <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform2(double[])"><!-- --></A><H3> inversetransform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.258"><B>inversetransform2</B></A>(double[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given real data set. <p> The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be inversely transformed <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3> inversetransform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.280"><B>inversetransform2</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given real function, sampled on the given interval. <p> The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the function to be sampled and inversely transformed<DD><CODE>min</CODE> - the lower bound for the interval<DD><CODE>max</CODE> - the upper bound for the interval<DD><CODE>n</CODE> - the number of sample points <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if function cannot be evaluated at some point <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="inversetransform2(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3> inversetransform2</H3> <PRE> public <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.299"><B>inversetransform2</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Inversely transform the given complex data set. <p> The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$ </p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be inversely transformed <DT><B>Returns:</B><DD>the complex inversely transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="fft(double[], boolean)"><!-- --></A><H3> fft</H3> <PRE> protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.315"><B>fft</B></A>(double[] f, boolean isInverse) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Perform the base-4 Cooley-Tukey FFT algorithm (including inverse). <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be transformed<DD><CODE>isInverse</CODE> - the indicator of forward or inverse transform <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="fft(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3> fft</H3> <PRE> protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.360"><B>fft</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] data) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Perform the base-4 Cooley-Tukey FFT algorithm (including inverse). <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>data</CODE> - the complex data array to be transformed <DT><B>Returns:</B><DD>the complex transformed array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="sample(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3> sample</H3> <PRE> public static double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.445"><B>sample</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/UnivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">UnivariateRealFunction</A> f, double min, double max, int n) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Sample the given univariate real function on the given interval. <p> The interval is divided equally into N sections and sample points are taken from min to max-(max-min)/N. Usually f(x) is periodic such that f(min) = f(max) (note max is not sampled), but we don't require that.</p> <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the function to be sampled<DD><CODE>min</CODE> - the lower bound for the interval<DD><CODE>max</CODE> - the upper bound for the interval<DD><CODE>n</CODE> - the number of sample points <DT><B>Returns:</B><DD>the samples array <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if function cannot be evaluated at some point <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if any parameters are invalid</DL> </DD> </DL> <HR> <A NAME="scaleArray(double[], double)"><!-- --></A><H3> scaleArray</H3> <PRE> public static double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.472"><B>scaleArray</B></A>(double[] f, double d)</PRE> <DL> <DD>Multiply every component in the given real array by the given real number. The change is made in place. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real array to be scaled<DD><CODE>d</CODE> - the real scaling coefficient <DT><B>Returns:</B><DD>a reference to the scaled array</DL> </DD> </DL> <HR> <A NAME="scaleArray(org.apache.commons.math.complex.Complex[], double)"><!-- --></A><H3> scaleArray</H3> <PRE> public static <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.487"><B>scaleArray</B></A>(<A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[] f, double d)</PRE> <DL> <DD>Multiply every component in the given complex array by the given real number. The change is made in place. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex array to be scaled<DD><CODE>d</CODE> - the real scaling coefficient <DT><B>Returns:</B><DD>a reference to the scaled array</DL> </DD> </DL> <HR> <A NAME="isPowerOf2(long)"><!-- --></A><H3> isPowerOf2</H3> <PRE> public static boolean <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.500"><B>isPowerOf2</B></A>(long n)</PRE> <DL> <DD>Returns true if the argument is power of 2. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>n</CODE> - the number to test <DT><B>Returns:</B><DD>true if the argument is power of 2</DL> </DD> </DL> <HR> <A NAME="verifyDataSet(double[])"><!-- --></A><H3> verifyDataSet</H3> <PRE> public static void <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.510"><B>verifyDataSet</B></A>(double[] d) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Verifies that the data set has length of power of 2. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>d</CODE> - the data array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if array length is not power of 2</DL> </DD> </DL> <HR> <A NAME="verifyDataSet(java.lang.Object[])"><!-- --></A><H3> verifyDataSet</H3> <PRE> public static void <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.523"><B>verifyDataSet</B></A>(<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A>[] o) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Verifies that the data set has length of power of 2. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>o</CODE> - the data array <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if array length is not power of 2</DL> </DD> </DL> <HR> <A NAME="verifyInterval(double, double)"><!-- --></A><H3> verifyInterval</H3> <PRE> public static void <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.537"><B>verifyInterval</B></A>(double lower, double upper) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Verifies that the endpoints specify an interval. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>lower</CODE> - lower endpoint<DD><CODE>upper</CODE> - upper endpoint <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if not interval</DL> </DD> </DL> <HR> <A NAME="mdfft(java.lang.Object, boolean)"><!-- --></A><H3> mdfft</H3> <PRE> public <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A> <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.561"><B>mdfft</B></A>(<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A> mdca, boolean forward) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Performs a multi-dimensional Fourier transform on a given array. Use <A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(org.apache.commons.math.complex.Complex[])"><CODE>inversetransform2(Complex[])</CODE></A> and <A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform2(org.apache.commons.math.complex.Complex[])"><CODE>transform2(Complex[])</CODE></A> in a row-column implementation in any number of dimensions with O(N×log(N)) complexity with N=n<sub>1</sub>×n<sub>2</sub>×n<sub>3</sub>×...×n<sub>d</sub>, n<sub>x</sub>=number of elements in dimension x, and d=total number of dimensions. <P> <DD><DL> </DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>mdca</CODE> - Multi-Dimensional Complex Array id est Complex[][][][]<DD><CODE>forward</CODE> - inverseTransform2 is preformed if this is false <DT><B>Returns:</B><DD>transform of mdca as a Multi-Dimensional Complex Array id est Complex[][][][] <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.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</DL> </DD> </DL> <!-- ========= END OF CLASS DATA ========= --> <HR> <!-- ======= START OF BOTTOM NAVBAR ====== --> <A NAME="navbar_bottom"><!-- --></A> <A HREF="#skip-navbar_bottom" title="Skip navigation links"></A> <TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""> <TR> <TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A NAME="navbar_bottom_firstrow"><!-- --></A> <TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY=""> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A> </TD> <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="class-use/FastFourierTransformer.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD> </TR> </TABLE> </TD> <TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM> </EM> </TD> </TR> <TR> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.html" title="class in org.apache.commons.math.transform"><B>PREV CLASS</B></A> <A HREF="../../../../../org/apache/commons/math/transform/FastHadamardTransformer.html" title="class in org.apache.commons.math.transform"><B>NEXT CLASS</B></A></FONT></TD> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../index.html?org/apache/commons/math/transform/FastFourierTransformer.html" target="_top"><B>FRAMES</B></A> <A HREF="FastFourierTransformer.html" target="_top"><B>NO FRAMES</B></A> <SCRIPT type="text/javascript"> <!-- if(window==top) { document.writeln('<A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>'); } //--> </SCRIPT> <NOSCRIPT> <A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A> </NOSCRIPT> </FONT></TD> </TR> <TR> <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: NESTED | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD> <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD> </TR> </TABLE> <A NAME="skip-navbar_bottom"></A> <!-- ======== END OF BOTTOM NAVBAR ======= --> <HR> Copyright © 2003-2010 <a href="http://www.apache.org/">The Apache Software Foundation</a>. 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