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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
changed configure.in to build scilab's own malloc.o, closes: #255869

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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>cdffnc</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>Dec 1997</DATE>
 
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  <SHORT_DESCRIPTION name="cdffnc"> cumulative distribution function non-central f-distribution</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[P,Q]=cdffnc(&quot;PQ&quot;,F,Dfn,Dfd,Pnonc)  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[F]=cdffnc(&quot;F&quot;,Dfn,Dfd,Pnonc,P,Q);  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[Dfn]=cdffnc(&quot;Dfn&quot;,Dfd,Pnonc,P,Q,F);  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[Dfd]=cdffnc(&quot;Dfd&quot;,Pnonc,P,Q,F,Dfn)  </CALLING_SEQUENCE_ITEM>
 
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    <CALLING_SEQUENCE_ITEM>[Pnonc]=cdffnc(&quot;Pnonc&quot;,P,Q,F,Dfn,Dfd);  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>P,Q,F,Dfn,Dfd,Pnonc</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: six real vectors of the same size.</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>P,Q (Q=1-P)  </PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>The integral from 0 to F of the non-central f-density. Input range: [0,1-1E-16).</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>F</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: Upper limit of integration of the non-central f-density. Input range: [0, +infinity). Search range: [0,1E300]</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>Dfn</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: Degrees of freedom of the numerator sum of squares. Input range: (0, +infinity). Search range: [ 1E-300, 1E300]</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>Dfd</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: Degrees of freedom of the denominator sum of squares. Must be in range: (0, +infinity). Input range: (0, +infinity). Search range: [ 1E-300, 1E300]</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>Pnonc</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: The non-centrality parameter Input range: [0,infinity) Search range: [0,1E4]</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P>
 
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    Calculates any one parameter of the Non-central F
 
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    distribution given values for the others.</P>
 
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    <P>
 
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    Formula  26.6.20   of   Abramowitz   and   Stegun,  Handbook  of
 
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    Mathematical  Functions (1966) is used to compute the cumulative
 
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    distribution function.</P>
 
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    <P>
 
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    Computation of other parameters involve a seach for a value that
 
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    produces  the desired  value  of P.   The search relies  on  the
 
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    monotinicity of P with the other parameter.</P>
 
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    <P>
 
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    The computation time  required for this  routine is proportional
 
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    to the noncentrality  parameter  (PNONC).  Very large  values of
 
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    this parameter can consume immense  computer resources.  This is
 
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    why the search range is bounded by 10,000.</P>
 
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    <P>
 
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    The  value  of the  cumulative  noncentral F distribution is not
 
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    necessarily monotone in either degrees  of freedom.  There  thus
 
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    may be two values that provide a given  CDF value.  This routine
 
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    assumes monotonicity  and will find  an arbitrary one of the two
 
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    values.</P>
 
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    <P>
 
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    From DCDFLIB: Library of Fortran Routines for Cumulative Distribution
 
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    Functions, Inverses, and Other Parameters (February, 1994)
 
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    Barry W. Brown, James Lovato and Kathy Russell. The University of
 
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    Texas.</P>
 
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  </DESCRIPTION>
 
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</MAN>