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/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008-2008 - INRIA - Allan SIMON
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
*/
#include "variance.h"
doubleComplex zvariancea(doubleComplex *in, int size)
{
int i = 0 ;
/*here sumcis used to compensate the possible round off error to a less
important degree */
doubleComplex sum = DoubleComplex ( 0 , 0 ) ;
doubleComplex temp = DoubleComplex ( 0 , 0 ) ;
doubleComplex sumc = DoubleComplex ( 0 , 0 ) ;
doubleComplex variance = DoubleComplex ( 0 , 0 );
doubleComplex mean = zmeana ( in , size ) ;
for ( i = 0 ; i < size ; i++)
{
temp = zdiffs( in[i] , mean ) ;
sum = zadds ( sum , zpows ( temp , DoubleComplex ( 2, 0) ) );
sumc = zadds ( sumc , temp );
printf ( "%d r : %e i : %e\n" , i , zreals(in[i]) , zimags (in[i]));
}
printf ( "\n\n" ) ;
/*we don't use sumc if equal to 0 otherwise we would have "nan" */
if ( fabs ( zreals ( sumc)) > 1e-16 || fabs ( zimags ( sumc)) > 1e-16 )
{
variance = zpows ( sumc ,DoubleComplex (2 , 0)) ;
variance = zdivides ( variance , DoubleComplex ( size , 0 ) ) ;
variance = zdiffs ( sum , variance );
variance = zdivides (variance , DoubleComplex ( (size - 1),0 ));
}
else
variance = zdivides (sum , DoubleComplex ( (size - 1),0 ));
return variance ;
}
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