Mercurial > hg > de.mpg.mpiwg.itgroup.digilib.core
view libs/commons-math-2.1/docs/apidocs/org/apache/commons/math/transform/FastCosineTransformer.html @ 32:d7a43156a79b default tip
new tabs
author | dwinter |
---|---|
date | Mon, 10 Oct 2011 17:52:22 +0200 |
parents | 878723cc40fb |
children |
line wrap: on
line source
<!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> FastCosineTransformer (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="FastCosineTransformer (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/FastCosineTransformer.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"> PREV CLASS <A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.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/FastCosineTransformer.html" target="_top"><B>FRAMES</B></A> <A HREF="FastCosineTransformer.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 FastCosineTransformer</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.FastCosineTransformer</B> </PRE> <DL> <DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></DD> </DL> <HR> <DL> <DT><PRE>public class <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.41"><B>FastCosineTransformer</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="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></DL> </PRE> <P> Implements the <a href="http://documents.wolfram.com/v5/Add-onsLinks/ StandardPackages/LinearAlgebra/FourierTrig.html">Fast Cosine Transform</a> for transformation of one-dimensional data sets. For reference, see <b>Fast Fourier Transforms</b>, ISBN 0849371635, chapter 3. <p> FCT is its own inverse, up to a multiplier depending on conventions. The equations are listed in the comments of the corresponding methods.</p> <p> Different from FFT and FST, FCT requires the length of data set to be power of 2 plus one. Users should especially pay attention to the function transformation on how this affects the sampling.</p> <p>As of version 2.0 this no longer implements Serializable</p> <P> <P> <DL> <DT><B>Since:</B></DT> <DD>1.2</DD> <DT><B>Version:</B></DT> <DD>$Revision:670469 $ $Date:2008-06-23 10:01:38 +0200 (lun., 23 juin 2008) $</DD> </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/FastCosineTransformer.html#FastCosineTransformer()">FastCosineTransformer</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 double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.html#fct(double[])">fct</A></B>(double[] f)</CODE> <BR> Perform the FCT algorithm (including inverse).</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"> <CODE> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> double[]</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.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> </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="FastCosineTransformer()"><!-- --></A><H3> FastCosineTransformer</H3> <PRE> public <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.46"><B>FastCosineTransformer</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 double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.61"><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 F<sub>n</sub> = (1/2) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] + ∑<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(π nk/N) </p> <P> <DD><DL> <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html#transform(double[])">transform</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></CODE></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 real 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 double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.81"><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 F<sub>n</sub> = (1/2) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] + ∑<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(π nk/N) </p> <P> <DD><DL> <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html#transform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">transform</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></CODE></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 real 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(double[])"><!-- --></A><H3> transform2</H3> <PRE> public double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.99"><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 F<sub>n</sub> = √(1/2N) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] + √(2/N) ∑<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(π nk/N) </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 real 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 double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.122"><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 F<sub>n</sub> = √(1/2N) [f<sub>0</sub> + (-1)<sup>n</sup> f<sub>N</sub>] + √(2/N) ∑<sub>k=1</sub><sup>N-1</sup> f<sub>k</sub> cos(π nk/N) </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 real 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(double[])"><!-- --></A><H3> inversetransform</H3> <PRE> public double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.142"><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 f<sub>k</sub> = (1/N) [F<sub>0</sub> + (-1)<sup>k</sup> F<sub>N</sub>] + (2/N) ∑<sub>n=1</sub><sup>N-1</sup> F<sub>n</sub> cos(π nk/N) </p> <P> <DD><DL> <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html#inversetransform(double[])">inversetransform</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></CODE></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 real 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 double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.164"><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 f<sub>k</sub> = (1/N) [F<sub>0</sub> + (-1)<sup>k</sup> F<sub>N</sub>] + (2/N) ∑<sub>n=1</sub><sup>N-1</sup> F<sub>n</sub> cos(π nk/N) </p> <P> <DD><DL> <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html#inversetransform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)">inversetransform</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/transform/RealTransformer.html" title="interface in org.apache.commons.math.transform">RealTransformer</A></CODE></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 real 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(double[])"><!-- --></A><H3> inversetransform2</H3> <PRE> public double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.184"><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 f<sub>k</sub> = √(1/2N) [F<sub>0</sub> + (-1)<sup>k</sup> F<sub>N</sub>] + √(2/N) ∑<sub>n=1</sub><sup>N-1</sup> F<sub>n</sub> cos(π nk/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 real 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 double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.204"><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 f<sub>k</sub> = √(1/2N) [F<sub>0</sub> + (-1)<sup>k</sup> F<sub>N</sub>] + √(2/N) ∑<sub>n=1</sub><sup>N-1</sup> F<sub>n</sub> cos(π nk/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 real 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="fct(double[])"><!-- --></A><H3> fct</H3> <PRE> protected double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastCosineTransformer.html#line.218"><B>fct</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>Perform the FCT 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 <DT><B>Returns:</B><DD>the real 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> <!-- ========= 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/FastCosineTransformer.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"> PREV CLASS <A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.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/FastCosineTransformer.html" target="_top"><B>FRAMES</B></A> <A HREF="FastCosineTransformer.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>. All Rights Reserved. </BODY> </HTML>