--- rpl/lapack/lapack/zlassq.f 2010/12/21 13:53:52 1.7 +++ rpl/lapack/lapack/zlassq.f 2011/11/21 20:43:17 1.8 @@ -1,9 +1,115 @@ +*> \brief \b ZLASSQ +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLASSQ + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) +* +* .. Scalar Arguments .. +* INTEGER INCX, N +* DOUBLE PRECISION SCALE, SUMSQ +* .. +* .. Array Arguments .. +* COMPLEX*16 X( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZLASSQ returns the values scl and ssq such that +*> +*> ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq, +*> +*> where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is +*> assumed to be at least unity and the value of ssq will then satisfy +*> +*> 1.0 .le. ssq .le. ( sumsq + 2*n ). +*> +*> scale is assumed to be non-negative and scl returns the value +*> +*> scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ), +*> i +*> +*> scale and sumsq must be supplied in SCALE and SUMSQ respectively. +*> SCALE and SUMSQ are overwritten by scl and ssq respectively. +*> +*> The routine makes only one pass through the vector X. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The number of elements to be used from the vector X. +*> \endverbatim +*> +*> \param[in] X +*> \verbatim +*> X is COMPLEX*16 array, dimension (N) +*> The vector x as described above. +*> x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n. +*> \endverbatim +*> +*> \param[in] INCX +*> \verbatim +*> INCX is INTEGER +*> The increment between successive values of the vector X. +*> INCX > 0. +*> \endverbatim +*> +*> \param[in,out] SCALE +*> \verbatim +*> SCALE is DOUBLE PRECISION +*> On entry, the value scale in the equation above. +*> On exit, SCALE is overwritten with the value scl . +*> \endverbatim +*> +*> \param[in,out] SUMSQ +*> \verbatim +*> SUMSQ is DOUBLE PRECISION +*> On entry, the value sumsq in the equation above. +*> On exit, SUMSQ is overwritten with the value ssq . +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERauxiliary +* +* ===================================================================== SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. INTEGER INCX, N @@ -13,50 +119,6 @@ COMPLEX*16 X( * ) * .. * -* Purpose -* ======= -* -* ZLASSQ returns the values scl and ssq such that -* -* ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq, -* -* where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is -* assumed to be at least unity and the value of ssq will then satisfy -* -* 1.0 .le. ssq .le. ( sumsq + 2*n ). -* -* scale is assumed to be non-negative and scl returns the value -* -* scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ), -* i -* -* scale and sumsq must be supplied in SCALE and SUMSQ respectively. -* SCALE and SUMSQ are overwritten by scl and ssq respectively. -* -* The routine makes only one pass through the vector X. -* -* Arguments -* ========= -* -* N (input) INTEGER -* The number of elements to be used from the vector X. -* -* X (input) COMPLEX*16 array, dimension (N) -* The vector x as described above. -* x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n. -* -* INCX (input) INTEGER -* The increment between successive values of the vector X. -* INCX > 0. -* -* SCALE (input/output) DOUBLE PRECISION -* On entry, the value scale in the equation above. -* On exit, SCALE is overwritten with the value scl . -* -* SUMSQ (input/output) DOUBLE PRECISION -* On entry, the value sumsq in the equation above. -* On exit, SUMSQ is overwritten with the value ssq . -* * ===================================================================== * * .. Parameters ..