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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 = zdevides ( variance , DoubleComplex ( size , 0 ) ) ;
+ variance = zdiffs ( sum , variance );
+ variance = zdevides (variance , DoubleComplex ( (size - 1),0 ));
+ }
+ else
+ variance = zdevides (sum , DoubleComplex ( (size - 1),0 ));
+
+ return variance ;
+}
+