|
15
|
1 <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
|
|
|
2 <!--NewPage-->
|
|
|
3 <HTML>
|
|
|
4 <HEAD>
|
|
|
5 <!-- Generated by javadoc (build 1.6.0_17) on Sat Mar 27 22:46:16 EDT 2010 -->
|
|
|
6 <META http-equiv="Content-Type" content="text/html; charset=UTF-8">
|
|
|
7 <TITLE>
|
|
|
8 FastFourierTransformer (Commons Math 2.1 API)
|
|
|
9 </TITLE>
|
|
|
10
|
|
|
11 <META NAME="date" CONTENT="2010-03-27">
|
|
|
12
|
|
|
13 <LINK REL ="stylesheet" TYPE="text/css" HREF="../../../../../stylesheet.css" TITLE="Style">
|
|
|
14
|
|
|
15 <SCRIPT type="text/javascript">
|
|
|
16 function windowTitle()
|
|
|
17 {
|
|
|
18 if (location.href.indexOf('is-external=true') == -1) {
|
|
|
19 parent.document.title="FastFourierTransformer (Commons Math 2.1 API)";
|
|
|
20 }
|
|
|
21 }
|
|
|
22 </SCRIPT>
|
|
|
23 <NOSCRIPT>
|
|
|
24 </NOSCRIPT>
|
|
|
25
|
|
|
26 </HEAD>
|
|
|
27
|
|
|
28 <BODY BGCOLOR="white" onload="windowTitle();">
|
|
|
29 <HR>
|
|
|
30
|
|
|
31
|
|
|
32 <!-- ========= START OF TOP NAVBAR ======= -->
|
|
|
33 <A NAME="navbar_top"><!-- --></A>
|
|
|
34 <A HREF="#skip-navbar_top" title="Skip navigation links"></A>
|
|
|
35 <TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY="">
|
|
|
36 <TR>
|
|
|
37 <TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1">
|
|
|
38 <A NAME="navbar_top_firstrow"><!-- --></A>
|
|
|
39 <TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">
|
|
|
40 <TR ALIGN="center" VALIGN="top">
|
|
|
41 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD>
|
|
|
42 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A> </TD>
|
|
|
43 <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD>
|
|
|
44 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="class-use/FastFourierTransformer.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </TD>
|
|
|
45 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD>
|
|
|
46 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD>
|
|
|
47 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD>
|
|
|
48 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD>
|
|
|
49 </TR>
|
|
|
50 </TABLE>
|
|
|
51 </TD>
|
|
|
52 <TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM>
|
|
|
53 </EM>
|
|
|
54 </TD>
|
|
|
55 </TR>
|
|
|
56
|
|
|
57 <TR>
|
|
|
58 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
|
|
|
59 <A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.html" title="class in org.apache.commons.math.transform"><B>PREV CLASS</B></A>
|
|
|
60 <A HREF="../../../../../org/apache/commons/math/transform/FastHadamardTransformer.html" title="class in org.apache.commons.math.transform"><B>NEXT CLASS</B></A></FONT></TD>
|
|
|
61 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
|
|
|
62 <A HREF="../../../../../index.html?org/apache/commons/math/transform/FastFourierTransformer.html" target="_top"><B>FRAMES</B></A>
|
|
|
63 <A HREF="FastFourierTransformer.html" target="_top"><B>NO FRAMES</B></A>
|
|
|
64 <SCRIPT type="text/javascript">
|
|
|
65 <!--
|
|
|
66 if(window==top) {
|
|
|
67 document.writeln('<A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>');
|
|
|
68 }
|
|
|
69 //-->
|
|
|
70 </SCRIPT>
|
|
|
71 <NOSCRIPT>
|
|
|
72 <A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>
|
|
|
73 </NOSCRIPT>
|
|
|
74
|
|
|
75
|
|
|
76 </FONT></TD>
|
|
|
77 </TR>
|
|
|
78 <TR>
|
|
|
79 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
|
|
|
80 SUMMARY: NESTED | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD>
|
|
|
81 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
|
|
|
82 DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD>
|
|
|
83 </TR>
|
|
|
84 </TABLE>
|
|
|
85 <A NAME="skip-navbar_top"></A>
|
|
|
86 <!-- ========= END OF TOP NAVBAR ========= -->
|
|
|
87
|
|
|
88 <HR>
|
|
|
89 <!-- ======== START OF CLASS DATA ======== -->
|
|
|
90 <H2>
|
|
|
91 <FONT SIZE="-1">
|
|
|
92 org.apache.commons.math.transform</FONT>
|
|
|
93 <BR>
|
|
|
94 Class FastFourierTransformer</H2>
|
|
|
95 <PRE>
|
|
|
96 <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>
|
|
|
97 <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math.transform.FastFourierTransformer</B>
|
|
|
98 </PRE>
|
|
|
99 <DL>
|
|
|
100 <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>
|
|
|
101 </DL>
|
|
|
102 <HR>
|
|
|
103 <DL>
|
|
|
104 <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>
|
|
|
105 </PRE>
|
|
|
106
|
|
|
107 <P>
|
|
|
108 Implements the <a href="http://mathworld.wolfram.com/FastFourierTransform.html">
|
|
|
109 Fast Fourier Transform</a> for transformation of one-dimensional data sets.
|
|
|
110 For reference, see <b>Applied Numerical Linear Algebra</b>, ISBN 0898713897,
|
|
|
111 chapter 6.
|
|
|
112 <p>
|
|
|
113 There are several conventions for the definition of FFT and inverse FFT,
|
|
|
114 mainly on different coefficient and exponent. Here the equations are listed
|
|
|
115 in the comments of the corresponding methods.</p>
|
|
|
116 <p>
|
|
|
117 We require the length of data set to be power of 2, this greatly simplifies
|
|
|
118 and speeds up the code. Users can pad the data with zeros to meet this
|
|
|
119 requirement. There are other flavors of FFT, for reference, see S. Winograd,
|
|
|
120 <i>On computing the discrete Fourier transform</i>, Mathematics of Computation,
|
|
|
121 32 (1978), 175 - 199.</p>
|
|
|
122 <P>
|
|
|
123
|
|
|
124 <P>
|
|
|
125 <DL>
|
|
|
126 <DT><B>Since:</B></DT>
|
|
|
127 <DD>1.2</DD>
|
|
|
128 <DT><B>Version:</B></DT>
|
|
|
129 <DD>$Revision: 885278 $ $Date: 2009-11-29 16:47:51 -0500 (Sun, 29 Nov 2009) $</DD>
|
|
|
130 <DT><B>See Also:</B><DD><A HREF="../../../../../serialized-form.html#org.apache.commons.math.transform.FastFourierTransformer">Serialized Form</A></DL>
|
|
|
131 <HR>
|
|
|
132
|
|
|
133 <P>
|
|
|
134
|
|
|
135 <!-- ======== CONSTRUCTOR SUMMARY ======== -->
|
|
|
136
|
|
|
137 <A NAME="constructor_summary"><!-- --></A>
|
|
|
138 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
|
|
|
139 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
|
|
|
140 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
|
|
|
141 <B>Constructor Summary</B></FONT></TH>
|
|
|
142 </TR>
|
|
|
143 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
144 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#FastFourierTransformer()">FastFourierTransformer</A></B>()</CODE>
|
|
|
145
|
|
|
146 <BR>
|
|
|
147 Construct a default transformer.</TD>
|
|
|
148 </TR>
|
|
|
149 </TABLE>
|
|
|
150
|
|
|
151 <!-- ========== METHOD SUMMARY =========== -->
|
|
|
152
|
|
|
153 <A NAME="method_summary"><!-- --></A>
|
|
|
154 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
|
|
|
155 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
|
|
|
156 <TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
|
|
|
157 <B>Method Summary</B></FONT></TH>
|
|
|
158 </TR>
|
|
|
159 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
160 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
161 <CODE>protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
162 <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>
|
|
|
163
|
|
|
164 <BR>
|
|
|
165 Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).</TD>
|
|
|
166 </TR>
|
|
|
167 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
168 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
169 <CODE>protected <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
170 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#fft(double[], boolean)">fft</A></B>(double[] f,
|
|
|
171 boolean isInverse)</CODE>
|
|
|
172
|
|
|
173 <BR>
|
|
|
174 Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).</TD>
|
|
|
175 </TR>
|
|
|
176 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
177 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
178 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
179 <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>
|
|
|
180
|
|
|
181 <BR>
|
|
|
182 Inversely transform the given complex data set.</TD>
|
|
|
183 </TR>
|
|
|
184 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
185 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
186 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
187 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform(double[])">inversetransform</A></B>(double[] f)</CODE>
|
|
|
188
|
|
|
189 <BR>
|
|
|
190 Inversely transform the given real data set.</TD>
|
|
|
191 </TR>
|
|
|
192 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
193 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
194 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
195 <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,
|
|
|
196 double min,
|
|
|
197 double max,
|
|
|
198 int n)</CODE>
|
|
|
199
|
|
|
200 <BR>
|
|
|
201 Inversely transform the given real function, sampled on the given interval.</TD>
|
|
|
202 </TR>
|
|
|
203 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
204 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
205 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
206 <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>
|
|
|
207
|
|
|
208 <BR>
|
|
|
209 Inversely transform the given complex data set.</TD>
|
|
|
210 </TR>
|
|
|
211 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
212 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
213 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
214 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(double[])">inversetransform2</A></B>(double[] f)</CODE>
|
|
|
215
|
|
|
216 <BR>
|
|
|
217 Inversely transform the given real data set.</TD>
|
|
|
218 </TR>
|
|
|
219 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
220 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
221 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
222 <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,
|
|
|
223 double min,
|
|
|
224 double max,
|
|
|
225 int n)</CODE>
|
|
|
226
|
|
|
227 <BR>
|
|
|
228 Inversely transform the given real function, sampled on the given interval.</TD>
|
|
|
229 </TR>
|
|
|
230 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
231 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
232 <CODE>static boolean</CODE></FONT></TD>
|
|
|
233 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#isPowerOf2(long)">isPowerOf2</A></B>(long n)</CODE>
|
|
|
234
|
|
|
235 <BR>
|
|
|
236 Returns true if the argument is power of 2.</TD>
|
|
|
237 </TR>
|
|
|
238 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
239 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
240 <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>
|
|
|
241 <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,
|
|
|
242 boolean forward)</CODE>
|
|
|
243
|
|
|
244 <BR>
|
|
|
245 Performs a multi-dimensional Fourier transform on a given array.</TD>
|
|
|
246 </TR>
|
|
|
247 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
248 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
249 <CODE>static double[]</CODE></FONT></TD>
|
|
|
250 <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,
|
|
|
251 double min,
|
|
|
252 double max,
|
|
|
253 int n)</CODE>
|
|
|
254
|
|
|
255 <BR>
|
|
|
256 Sample the given univariate real function on the given interval.</TD>
|
|
|
257 </TR>
|
|
|
258 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
259 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
260 <CODE>static <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
261 <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,
|
|
|
262 double d)</CODE>
|
|
|
263
|
|
|
264 <BR>
|
|
|
265 Multiply every component in the given complex array by the
|
|
|
266 given real number.</TD>
|
|
|
267 </TR>
|
|
|
268 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
269 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
270 <CODE>static double[]</CODE></FONT></TD>
|
|
|
271 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#scaleArray(double[], double)">scaleArray</A></B>(double[] f,
|
|
|
272 double d)</CODE>
|
|
|
273
|
|
|
274 <BR>
|
|
|
275 Multiply every component in the given real array by the
|
|
|
276 given real number.</TD>
|
|
|
277 </TR>
|
|
|
278 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
279 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
280 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
281 <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>
|
|
|
282
|
|
|
283 <BR>
|
|
|
284 Transform the given complex data set.</TD>
|
|
|
285 </TR>
|
|
|
286 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
287 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
288 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
289 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform(double[])">transform</A></B>(double[] f)</CODE>
|
|
|
290
|
|
|
291 <BR>
|
|
|
292 Transform the given real data set.</TD>
|
|
|
293 </TR>
|
|
|
294 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
295 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
296 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
297 <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,
|
|
|
298 double min,
|
|
|
299 double max,
|
|
|
300 int n)</CODE>
|
|
|
301
|
|
|
302 <BR>
|
|
|
303 Transform the given real function, sampled on the given interval.</TD>
|
|
|
304 </TR>
|
|
|
305 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
306 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
307 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
308 <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>
|
|
|
309
|
|
|
310 <BR>
|
|
|
311 Transform the given complex data set.</TD>
|
|
|
312 </TR>
|
|
|
313 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
314 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
315 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
316 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#transform2(double[])">transform2</A></B>(double[] f)</CODE>
|
|
|
317
|
|
|
318 <BR>
|
|
|
319 Transform the given real data set.</TD>
|
|
|
320 </TR>
|
|
|
321 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
322 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
323 <CODE> <A HREF="../../../../../org/apache/commons/math/complex/Complex.html" title="class in org.apache.commons.math.complex">Complex</A>[]</CODE></FONT></TD>
|
|
|
324 <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,
|
|
|
325 double min,
|
|
|
326 double max,
|
|
|
327 int n)</CODE>
|
|
|
328
|
|
|
329 <BR>
|
|
|
330 Transform the given real function, sampled on the given interval.</TD>
|
|
|
331 </TR>
|
|
|
332 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
333 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
334 <CODE>static void</CODE></FONT></TD>
|
|
|
335 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#verifyDataSet(double[])">verifyDataSet</A></B>(double[] d)</CODE>
|
|
|
336
|
|
|
337 <BR>
|
|
|
338 Verifies that the data set has length of power of 2.</TD>
|
|
|
339 </TR>
|
|
|
340 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
341 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
342 <CODE>static void</CODE></FONT></TD>
|
|
|
343 <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>
|
|
|
344
|
|
|
345 <BR>
|
|
|
346 Verifies that the data set has length of power of 2.</TD>
|
|
|
347 </TR>
|
|
|
348 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
349 <TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
|
|
|
350 <CODE>static void</CODE></FONT></TD>
|
|
|
351 <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#verifyInterval(double, double)">verifyInterval</A></B>(double lower,
|
|
|
352 double upper)</CODE>
|
|
|
353
|
|
|
354 <BR>
|
|
|
355 Verifies that the endpoints specify an interval.</TD>
|
|
|
356 </TR>
|
|
|
357 </TABLE>
|
|
|
358 <A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
|
|
|
359 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
|
|
|
360 <TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
|
|
|
361 <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>
|
|
|
362 </TR>
|
|
|
363 <TR BGCOLOR="white" CLASS="TableRowColor">
|
|
|
364 <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>
|
|
|
365 </TR>
|
|
|
366 </TABLE>
|
|
|
367
|
|
|
368 <P>
|
|
|
369
|
|
|
370 <!-- ========= CONSTRUCTOR DETAIL ======== -->
|
|
|
371
|
|
|
372 <A NAME="constructor_detail"><!-- --></A>
|
|
|
373 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
|
|
|
374 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
|
|
|
375 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
|
|
|
376 <B>Constructor Detail</B></FONT></TH>
|
|
|
377 </TR>
|
|
|
378 </TABLE>
|
|
|
379
|
|
|
380 <A NAME="FastFourierTransformer()"><!-- --></A><H3>
|
|
|
381 FastFourierTransformer</H3>
|
|
|
382 <PRE>
|
|
|
383 public <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.73"><B>FastFourierTransformer</B></A>()</PRE>
|
|
|
384 <DL>
|
|
|
385 <DD>Construct a default transformer.
|
|
|
386 <P>
|
|
|
387 </DL>
|
|
|
388
|
|
|
389 <!-- ============ METHOD DETAIL ========== -->
|
|
|
390
|
|
|
391 <A NAME="method_detail"><!-- --></A>
|
|
|
392 <TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
|
|
|
393 <TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
|
|
|
394 <TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
|
|
|
395 <B>Method Detail</B></FONT></TH>
|
|
|
396 </TR>
|
|
|
397 </TABLE>
|
|
|
398
|
|
|
399 <A NAME="transform(double[])"><!-- --></A><H3>
|
|
|
400 transform</H3>
|
|
|
401 <PRE>
|
|
|
402 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)
|
|
|
403 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>
|
|
|
404 <DL>
|
|
|
405 <DD>Transform the given real data set.
|
|
|
406 <p>
|
|
|
407 The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $
|
|
|
408 </p>
|
|
|
409 <P>
|
|
|
410 <DD><DL>
|
|
|
411 </DL>
|
|
|
412 </DD>
|
|
|
413 <DD><DL>
|
|
|
414 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be transformed
|
|
|
415 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
416 <DT><B>Throws:</B>
|
|
|
417 <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>
|
|
|
418 </DD>
|
|
|
419 </DL>
|
|
|
420 <HR>
|
|
|
421
|
|
|
422 <A NAME="transform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3>
|
|
|
423 transform</H3>
|
|
|
424 <PRE>
|
|
|
425 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,
|
|
|
426 double min,
|
|
|
427 double max,
|
|
|
428 int n)
|
|
|
429 throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>,
|
|
|
430 <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>
|
|
|
431 <DL>
|
|
|
432 <DD>Transform the given real function, sampled on the given interval.
|
|
|
433 <p>
|
|
|
434 The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $
|
|
|
435 </p>
|
|
|
436 <P>
|
|
|
437 <DD><DL>
|
|
|
438 </DL>
|
|
|
439 </DD>
|
|
|
440 <DD><DL>
|
|
|
441 <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
|
|
|
442 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
443 <DT><B>Throws:</B>
|
|
|
444 <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
|
|
|
445 at some point
|
|
|
446 <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>
|
|
|
447 </DD>
|
|
|
448 </DL>
|
|
|
449 <HR>
|
|
|
450
|
|
|
451 <A NAME="transform(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3>
|
|
|
452 transform</H3>
|
|
|
453 <PRE>
|
|
|
454 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)
|
|
|
455 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>
|
|
|
456 <DL>
|
|
|
457 <DD>Transform the given complex data set.
|
|
|
458 <p>
|
|
|
459 The formula is $ y_n = \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k $
|
|
|
460 </p>
|
|
|
461 <P>
|
|
|
462 <DD><DL>
|
|
|
463 </DL>
|
|
|
464 </DD>
|
|
|
465 <DD><DL>
|
|
|
466 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be transformed
|
|
|
467 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
468 <DT><B>Throws:</B>
|
|
|
469 <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>
|
|
|
470 </DD>
|
|
|
471 </DL>
|
|
|
472 <HR>
|
|
|
473
|
|
|
474 <A NAME="transform2(double[])"><!-- --></A><H3>
|
|
|
475 transform2</H3>
|
|
|
476 <PRE>
|
|
|
477 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)
|
|
|
478 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>
|
|
|
479 <DL>
|
|
|
480 <DD>Transform the given real data set.
|
|
|
481 <p>
|
|
|
482 The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$
|
|
|
483 </p>
|
|
|
484 <P>
|
|
|
485 <DD><DL>
|
|
|
486 </DL>
|
|
|
487 </DD>
|
|
|
488 <DD><DL>
|
|
|
489 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be transformed
|
|
|
490 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
491 <DT><B>Throws:</B>
|
|
|
492 <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>
|
|
|
493 </DD>
|
|
|
494 </DL>
|
|
|
495 <HR>
|
|
|
496
|
|
|
497 <A NAME="transform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3>
|
|
|
498 transform2</H3>
|
|
|
499 <PRE>
|
|
|
500 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,
|
|
|
501 double min,
|
|
|
502 double max,
|
|
|
503 int n)
|
|
|
504 throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>,
|
|
|
505 <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>
|
|
|
506 <DL>
|
|
|
507 <DD>Transform the given real function, sampled on the given interval.
|
|
|
508 <p>
|
|
|
509 The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$
|
|
|
510 </p>
|
|
|
511 <P>
|
|
|
512 <DD><DL>
|
|
|
513 </DL>
|
|
|
514 </DD>
|
|
|
515 <DD><DL>
|
|
|
516 <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
|
|
|
517 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
518 <DT><B>Throws:</B>
|
|
|
519 <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
|
|
|
520 at some point
|
|
|
521 <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>
|
|
|
522 </DD>
|
|
|
523 </DL>
|
|
|
524 <HR>
|
|
|
525
|
|
|
526 <A NAME="transform2(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3>
|
|
|
527 transform2</H3>
|
|
|
528 <PRE>
|
|
|
529 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)
|
|
|
530 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>
|
|
|
531 <DL>
|
|
|
532 <DD>Transform the given complex data set.
|
|
|
533 <p>
|
|
|
534 The formula is $y_n = (1/\sqrt{N}) \Sigma_{k=0}^{N-1} e^{-2 \pi i nk/N} x_k$
|
|
|
535 </p>
|
|
|
536 <P>
|
|
|
537 <DD><DL>
|
|
|
538 </DL>
|
|
|
539 </DD>
|
|
|
540 <DD><DL>
|
|
|
541 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be transformed
|
|
|
542 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
543 <DT><B>Throws:</B>
|
|
|
544 <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>
|
|
|
545 </DD>
|
|
|
546 </DL>
|
|
|
547 <HR>
|
|
|
548
|
|
|
549 <A NAME="inversetransform(double[])"><!-- --></A><H3>
|
|
|
550 inversetransform</H3>
|
|
|
551 <PRE>
|
|
|
552 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)
|
|
|
553 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>
|
|
|
554 <DL>
|
|
|
555 <DD>Inversely transform the given real data set.
|
|
|
556 <p>
|
|
|
557 The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $
|
|
|
558 </p>
|
|
|
559 <P>
|
|
|
560 <DD><DL>
|
|
|
561 </DL>
|
|
|
562 </DD>
|
|
|
563 <DD><DL>
|
|
|
564 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be inversely transformed
|
|
|
565 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
566 <DT><B>Throws:</B>
|
|
|
567 <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>
|
|
|
568 </DD>
|
|
|
569 </DL>
|
|
|
570 <HR>
|
|
|
571
|
|
|
572 <A NAME="inversetransform(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3>
|
|
|
573 inversetransform</H3>
|
|
|
574 <PRE>
|
|
|
575 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,
|
|
|
576 double min,
|
|
|
577 double max,
|
|
|
578 int n)
|
|
|
579 throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>,
|
|
|
580 <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>
|
|
|
581 <DL>
|
|
|
582 <DD>Inversely transform the given real function, sampled on the given interval.
|
|
|
583 <p>
|
|
|
584 The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $
|
|
|
585 </p>
|
|
|
586 <P>
|
|
|
587 <DD><DL>
|
|
|
588 </DL>
|
|
|
589 </DD>
|
|
|
590 <DD><DL>
|
|
|
591 <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
|
|
|
592 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
593 <DT><B>Throws:</B>
|
|
|
594 <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
|
|
|
595 at some point
|
|
|
596 <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>
|
|
|
597 </DD>
|
|
|
598 </DL>
|
|
|
599 <HR>
|
|
|
600
|
|
|
601 <A NAME="inversetransform(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3>
|
|
|
602 inversetransform</H3>
|
|
|
603 <PRE>
|
|
|
604 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)
|
|
|
605 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>
|
|
|
606 <DL>
|
|
|
607 <DD>Inversely transform the given complex data set.
|
|
|
608 <p>
|
|
|
609 The formula is $ x_k = (1/N) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n $
|
|
|
610 </p>
|
|
|
611 <P>
|
|
|
612 <DD><DL>
|
|
|
613 </DL>
|
|
|
614 </DD>
|
|
|
615 <DD><DL>
|
|
|
616 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be inversely transformed
|
|
|
617 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
618 <DT><B>Throws:</B>
|
|
|
619 <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>
|
|
|
620 </DD>
|
|
|
621 </DL>
|
|
|
622 <HR>
|
|
|
623
|
|
|
624 <A NAME="inversetransform2(double[])"><!-- --></A><H3>
|
|
|
625 inversetransform2</H3>
|
|
|
626 <PRE>
|
|
|
627 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)
|
|
|
628 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>
|
|
|
629 <DL>
|
|
|
630 <DD>Inversely transform the given real data set.
|
|
|
631 <p>
|
|
|
632 The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$
|
|
|
633 </p>
|
|
|
634 <P>
|
|
|
635 <DD><DL>
|
|
|
636 </DL>
|
|
|
637 </DD>
|
|
|
638 <DD><DL>
|
|
|
639 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real data array to be inversely transformed
|
|
|
640 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
641 <DT><B>Throws:</B>
|
|
|
642 <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>
|
|
|
643 </DD>
|
|
|
644 </DL>
|
|
|
645 <HR>
|
|
|
646
|
|
|
647 <A NAME="inversetransform2(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3>
|
|
|
648 inversetransform2</H3>
|
|
|
649 <PRE>
|
|
|
650 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,
|
|
|
651 double min,
|
|
|
652 double max,
|
|
|
653 int n)
|
|
|
654 throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>,
|
|
|
655 <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>
|
|
|
656 <DL>
|
|
|
657 <DD>Inversely transform the given real function, sampled on the given interval.
|
|
|
658 <p>
|
|
|
659 The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$
|
|
|
660 </p>
|
|
|
661 <P>
|
|
|
662 <DD><DL>
|
|
|
663 </DL>
|
|
|
664 </DD>
|
|
|
665 <DD><DL>
|
|
|
666 <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
|
|
|
667 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
668 <DT><B>Throws:</B>
|
|
|
669 <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
|
|
|
670 at some point
|
|
|
671 <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>
|
|
|
672 </DD>
|
|
|
673 </DL>
|
|
|
674 <HR>
|
|
|
675
|
|
|
676 <A NAME="inversetransform2(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3>
|
|
|
677 inversetransform2</H3>
|
|
|
678 <PRE>
|
|
|
679 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)
|
|
|
680 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>
|
|
|
681 <DL>
|
|
|
682 <DD>Inversely transform the given complex data set.
|
|
|
683 <p>
|
|
|
684 The formula is $x_k = (1/\sqrt{N}) \Sigma_{n=0}^{N-1} e^{2 \pi i nk/N} y_n$
|
|
|
685 </p>
|
|
|
686 <P>
|
|
|
687 <DD><DL>
|
|
|
688 </DL>
|
|
|
689 </DD>
|
|
|
690 <DD><DL>
|
|
|
691 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex data array to be inversely transformed
|
|
|
692 <DT><B>Returns:</B><DD>the complex inversely transformed array
|
|
|
693 <DT><B>Throws:</B>
|
|
|
694 <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>
|
|
|
695 </DD>
|
|
|
696 </DL>
|
|
|
697 <HR>
|
|
|
698
|
|
|
699 <A NAME="fft(double[], boolean)"><!-- --></A><H3>
|
|
|
700 fft</H3>
|
|
|
701 <PRE>
|
|
|
702 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,
|
|
|
703 boolean isInverse)
|
|
|
704 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>
|
|
|
705 <DL>
|
|
|
706 <DD>Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).
|
|
|
707 <P>
|
|
|
708 <DD><DL>
|
|
|
709 </DL>
|
|
|
710 </DD>
|
|
|
711 <DD><DL>
|
|
|
712 <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
|
|
|
713 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
714 <DT><B>Throws:</B>
|
|
|
715 <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>
|
|
|
716 </DD>
|
|
|
717 </DL>
|
|
|
718 <HR>
|
|
|
719
|
|
|
720 <A NAME="fft(org.apache.commons.math.complex.Complex[])"><!-- --></A><H3>
|
|
|
721 fft</H3>
|
|
|
722 <PRE>
|
|
|
723 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)
|
|
|
724 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>
|
|
|
725 <DL>
|
|
|
726 <DD>Perform the base-4 Cooley-Tukey FFT algorithm (including inverse).
|
|
|
727 <P>
|
|
|
728 <DD><DL>
|
|
|
729 </DL>
|
|
|
730 </DD>
|
|
|
731 <DD><DL>
|
|
|
732 <DT><B>Parameters:</B><DD><CODE>data</CODE> - the complex data array to be transformed
|
|
|
733 <DT><B>Returns:</B><DD>the complex transformed array
|
|
|
734 <DT><B>Throws:</B>
|
|
|
735 <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>
|
|
|
736 </DD>
|
|
|
737 </DL>
|
|
|
738 <HR>
|
|
|
739
|
|
|
740 <A NAME="sample(org.apache.commons.math.analysis.UnivariateRealFunction, double, double, int)"><!-- --></A><H3>
|
|
|
741 sample</H3>
|
|
|
742 <PRE>
|
|
|
743 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,
|
|
|
744 double min,
|
|
|
745 double max,
|
|
|
746 int n)
|
|
|
747 throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A>,
|
|
|
748 <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>
|
|
|
749 <DL>
|
|
|
750 <DD>Sample the given univariate real function on the given interval.
|
|
|
751 <p>
|
|
|
752 The interval is divided equally into N sections and sample points
|
|
|
753 are taken from min to max-(max-min)/N. Usually f(x) is periodic
|
|
|
754 such that f(min) = f(max) (note max is not sampled), but we don't
|
|
|
755 require that.</p>
|
|
|
756 <P>
|
|
|
757 <DD><DL>
|
|
|
758 </DL>
|
|
|
759 </DD>
|
|
|
760 <DD><DL>
|
|
|
761 <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
|
|
|
762 <DT><B>Returns:</B><DD>the samples array
|
|
|
763 <DT><B>Throws:</B>
|
|
|
764 <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
|
|
|
765 at some point
|
|
|
766 <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>
|
|
|
767 </DD>
|
|
|
768 </DL>
|
|
|
769 <HR>
|
|
|
770
|
|
|
771 <A NAME="scaleArray(double[], double)"><!-- --></A><H3>
|
|
|
772 scaleArray</H3>
|
|
|
773 <PRE>
|
|
|
774 public static double[] <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.472"><B>scaleArray</B></A>(double[] f,
|
|
|
775 double d)</PRE>
|
|
|
776 <DL>
|
|
|
777 <DD>Multiply every component in the given real array by the
|
|
|
778 given real number. The change is made in place.
|
|
|
779 <P>
|
|
|
780 <DD><DL>
|
|
|
781 </DL>
|
|
|
782 </DD>
|
|
|
783 <DD><DL>
|
|
|
784 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the real array to be scaled<DD><CODE>d</CODE> - the real scaling coefficient
|
|
|
785 <DT><B>Returns:</B><DD>a reference to the scaled array</DL>
|
|
|
786 </DD>
|
|
|
787 </DL>
|
|
|
788 <HR>
|
|
|
789
|
|
|
790 <A NAME="scaleArray(org.apache.commons.math.complex.Complex[], double)"><!-- --></A><H3>
|
|
|
791 scaleArray</H3>
|
|
|
792 <PRE>
|
|
|
793 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,
|
|
|
794 double d)</PRE>
|
|
|
795 <DL>
|
|
|
796 <DD>Multiply every component in the given complex array by the
|
|
|
797 given real number. The change is made in place.
|
|
|
798 <P>
|
|
|
799 <DD><DL>
|
|
|
800 </DL>
|
|
|
801 </DD>
|
|
|
802 <DD><DL>
|
|
|
803 <DT><B>Parameters:</B><DD><CODE>f</CODE> - the complex array to be scaled<DD><CODE>d</CODE> - the real scaling coefficient
|
|
|
804 <DT><B>Returns:</B><DD>a reference to the scaled array</DL>
|
|
|
805 </DD>
|
|
|
806 </DL>
|
|
|
807 <HR>
|
|
|
808
|
|
|
809 <A NAME="isPowerOf2(long)"><!-- --></A><H3>
|
|
|
810 isPowerOf2</H3>
|
|
|
811 <PRE>
|
|
|
812 public static boolean <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.500"><B>isPowerOf2</B></A>(long n)</PRE>
|
|
|
813 <DL>
|
|
|
814 <DD>Returns true if the argument is power of 2.
|
|
|
815 <P>
|
|
|
816 <DD><DL>
|
|
|
817 </DL>
|
|
|
818 </DD>
|
|
|
819 <DD><DL>
|
|
|
820 <DT><B>Parameters:</B><DD><CODE>n</CODE> - the number to test
|
|
|
821 <DT><B>Returns:</B><DD>true if the argument is power of 2</DL>
|
|
|
822 </DD>
|
|
|
823 </DL>
|
|
|
824 <HR>
|
|
|
825
|
|
|
826 <A NAME="verifyDataSet(double[])"><!-- --></A><H3>
|
|
|
827 verifyDataSet</H3>
|
|
|
828 <PRE>
|
|
|
829 public static void <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.510"><B>verifyDataSet</B></A>(double[] d)
|
|
|
830 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>
|
|
|
831 <DL>
|
|
|
832 <DD>Verifies that the data set has length of power of 2.
|
|
|
833 <P>
|
|
|
834 <DD><DL>
|
|
|
835 </DL>
|
|
|
836 </DD>
|
|
|
837 <DD><DL>
|
|
|
838 <DT><B>Parameters:</B><DD><CODE>d</CODE> - the data array
|
|
|
839 <DT><B>Throws:</B>
|
|
|
840 <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>
|
|
|
841 </DD>
|
|
|
842 </DL>
|
|
|
843 <HR>
|
|
|
844
|
|
|
845 <A NAME="verifyDataSet(java.lang.Object[])"><!-- --></A><H3>
|
|
|
846 verifyDataSet</H3>
|
|
|
847 <PRE>
|
|
|
848 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)
|
|
|
849 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>
|
|
|
850 <DL>
|
|
|
851 <DD>Verifies that the data set has length of power of 2.
|
|
|
852 <P>
|
|
|
853 <DD><DL>
|
|
|
854 </DL>
|
|
|
855 </DD>
|
|
|
856 <DD><DL>
|
|
|
857 <DT><B>Parameters:</B><DD><CODE>o</CODE> - the data array
|
|
|
858 <DT><B>Throws:</B>
|
|
|
859 <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>
|
|
|
860 </DD>
|
|
|
861 </DL>
|
|
|
862 <HR>
|
|
|
863
|
|
|
864 <A NAME="verifyInterval(double, double)"><!-- --></A><H3>
|
|
|
865 verifyInterval</H3>
|
|
|
866 <PRE>
|
|
|
867 public static void <A HREF="../../../../../src-html/org/apache/commons/math/transform/FastFourierTransformer.html#line.537"><B>verifyInterval</B></A>(double lower,
|
|
|
868 double upper)
|
|
|
869 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>
|
|
|
870 <DL>
|
|
|
871 <DD>Verifies that the endpoints specify an interval.
|
|
|
872 <P>
|
|
|
873 <DD><DL>
|
|
|
874 </DL>
|
|
|
875 </DD>
|
|
|
876 <DD><DL>
|
|
|
877 <DT><B>Parameters:</B><DD><CODE>lower</CODE> - lower endpoint<DD><CODE>upper</CODE> - upper endpoint
|
|
|
878 <DT><B>Throws:</B>
|
|
|
879 <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>
|
|
|
880 </DD>
|
|
|
881 </DL>
|
|
|
882 <HR>
|
|
|
883
|
|
|
884 <A NAME="mdfft(java.lang.Object, boolean)"><!-- --></A><H3>
|
|
|
885 mdfft</H3>
|
|
|
886 <PRE>
|
|
|
887 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,
|
|
|
888 boolean forward)
|
|
|
889 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>
|
|
|
890 <DL>
|
|
|
891 <DD>Performs a multi-dimensional Fourier transform on a given array.
|
|
|
892 Use <A HREF="../../../../../org/apache/commons/math/transform/FastFourierTransformer.html#inversetransform2(org.apache.commons.math.complex.Complex[])"><CODE>inversetransform2(Complex[])</CODE></A> and
|
|
|
893 <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
|
|
|
894 in any number of dimensions with O(N×log(N)) complexity with
|
|
|
895 N=n<sub>1</sub>×n<sub>2</sub>×n<sub>3</sub>×...×n<sub>d</sub>,
|
|
|
896 n<sub>x</sub>=number of elements in dimension x,
|
|
|
897 and d=total number of dimensions.
|
|
|
898 <P>
|
|
|
899 <DD><DL>
|
|
|
900 </DL>
|
|
|
901 </DD>
|
|
|
902 <DD><DL>
|
|
|
903 <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
|
|
|
904 <DT><B>Returns:</B><DD>transform of mdca as a Multi-Dimensional Complex Array id est Complex[][][][]
|
|
|
905 <DT><B>Throws:</B>
|
|
|
906 <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>
|
|
|
907 </DD>
|
|
|
908 </DL>
|
|
|
909 <!-- ========= END OF CLASS DATA ========= -->
|
|
|
910 <HR>
|
|
|
911
|
|
|
912
|
|
|
913 <!-- ======= START OF BOTTOM NAVBAR ====== -->
|
|
|
914 <A NAME="navbar_bottom"><!-- --></A>
|
|
|
915 <A HREF="#skip-navbar_bottom" title="Skip navigation links"></A>
|
|
|
916 <TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY="">
|
|
|
917 <TR>
|
|
|
918 <TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1">
|
|
|
919 <A NAME="navbar_bottom_firstrow"><!-- --></A>
|
|
|
920 <TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">
|
|
|
921 <TR ALIGN="center" VALIGN="top">
|
|
|
922 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD>
|
|
|
923 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A> </TD>
|
|
|
924 <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD>
|
|
|
925 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="class-use/FastFourierTransformer.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </TD>
|
|
|
926 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD>
|
|
|
927 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD>
|
|
|
928 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD>
|
|
|
929 <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD>
|
|
|
930 </TR>
|
|
|
931 </TABLE>
|
|
|
932 </TD>
|
|
|
933 <TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM>
|
|
|
934 </EM>
|
|
|
935 </TD>
|
|
|
936 </TR>
|
|
|
937
|
|
|
938 <TR>
|
|
|
939 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
|
|
|
940 <A HREF="../../../../../org/apache/commons/math/transform/FastCosineTransformer.html" title="class in org.apache.commons.math.transform"><B>PREV CLASS</B></A>
|
|
|
941 <A HREF="../../../../../org/apache/commons/math/transform/FastHadamardTransformer.html" title="class in org.apache.commons.math.transform"><B>NEXT CLASS</B></A></FONT></TD>
|
|
|
942 <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">
|
|
|
943 <A HREF="../../../../../index.html?org/apache/commons/math/transform/FastFourierTransformer.html" target="_top"><B>FRAMES</B></A>
|
|
|
944 <A HREF="FastFourierTransformer.html" target="_top"><B>NO FRAMES</B></A>
|
|
|
945 <SCRIPT type="text/javascript">
|
|
|
946 <!--
|
|
|
947 if(window==top) {
|
|
|
948 document.writeln('<A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>');
|
|
|
949 }
|
|
|
950 //-->
|
|
|
951 </SCRIPT>
|
|
|
952 <NOSCRIPT>
|
|
|
953 <A HREF="../../../../../allclasses-noframe.html"><B>All Classes</B></A>
|
|
|
954 </NOSCRIPT>
|
|
|
955
|
|
|
956
|
|
|
957 </FONT></TD>
|
|
|
958 </TR>
|
|
|
959 <TR>
|
|
|
960 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
|
|
|
961 SUMMARY: NESTED | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD>
|
|
|
962 <TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">
|
|
|
963 DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD>
|
|
|
964 </TR>
|
|
|
965 </TABLE>
|
|
|
966 <A NAME="skip-navbar_bottom"></A>
|
|
|
967 <!-- ======== END OF BOTTOM NAVBAR ======= -->
|
|
|
968
|
|
|
969 <HR>
|
|
|
970 Copyright © 2003-2010 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All Rights Reserved.
|
|
|
971 </BODY>
|
|
|
972 </HTML>
|
