--- rpl/lapack/lapack/dlartg.f 2010/12/21 13:53:32 1.7 +++ rpl/lapack/lapack/dlartg.f 2011/11/21 20:42:58 1.8 @@ -1,52 +1,110 @@ - SUBROUTINE DLARTG( F, G, CS, SN, R ) -* -* -- LAPACK auxiliary routine (version 3.2) -- -* -- LAPACK is a software package provided by Univ. of Tennessee, -- -* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 -* -* .. Scalar Arguments .. - DOUBLE PRECISION CS, F, G, R, SN -* .. -* -* Purpose -* ======= -* -* DLARTG generate a plane rotation so that +*> \brief \b DLARTG * -* [ CS SN ] . [ F ] = [ R ] where CS**2 + SN**2 = 1. -* [ -SN CS ] [ G ] [ 0 ] +* =========== DOCUMENTATION =========== * -* This is a slower, more accurate version of the BLAS1 routine DROTG, -* with the following other differences: -* F and G are unchanged on return. -* If G=0, then CS=1 and SN=0. -* If F=0 and (G .ne. 0), then CS=0 and SN=1 without doing any -* floating point operations (saves work in DBDSQR when -* there are zeros on the diagonal). +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * -* If F exceeds G in magnitude, CS will be positive. +*> \htmlonly +*> Download DLARTG + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DLARTG( F, G, CS, SN, R ) +* +* .. Scalar Arguments .. +* DOUBLE PRECISION CS, F, G, R, SN +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DLARTG generate a plane rotation so that +*> +*> [ CS SN ] . [ F ] = [ R ] where CS**2 + SN**2 = 1. +*> [ -SN CS ] [ G ] [ 0 ] +*> +*> This is a slower, more accurate version of the BLAS1 routine DROTG, +*> with the following other differences: +*> F and G are unchanged on return. +*> If G=0, then CS=1 and SN=0. +*> If F=0 and (G .ne. 0), then CS=0 and SN=1 without doing any +*> floating point operations (saves work in DBDSQR when +*> there are zeros on the diagonal). +*> +*> If F exceeds G in magnitude, CS will be positive. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] F +*> \verbatim +*> F is DOUBLE PRECISION +*> The first component of vector to be rotated. +*> \endverbatim +*> +*> \param[in] G +*> \verbatim +*> G is DOUBLE PRECISION +*> The second component of vector to be rotated. +*> \endverbatim +*> +*> \param[out] CS +*> \verbatim +*> CS is DOUBLE PRECISION +*> The cosine of the rotation. +*> \endverbatim +*> +*> \param[out] SN +*> \verbatim +*> SN is DOUBLE PRECISION +*> The sine of the rotation. +*> \endverbatim +*> +*> \param[out] R +*> \verbatim +*> R is DOUBLE PRECISION +*> The nonzero component of the rotated vector. +*> +*> This version has a few statements commented out for thread safety +*> (machine parameters are computed on each entry). 10 feb 03, SJH. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -* Arguments -* ========= +*> \date November 2011 * -* F (input) DOUBLE PRECISION -* The first component of vector to be rotated. +*> \ingroup auxOTHERauxiliary * -* G (input) DOUBLE PRECISION -* The second component of vector to be rotated. -* -* CS (output) DOUBLE PRECISION -* The cosine of the rotation. -* -* SN (output) DOUBLE PRECISION -* The sine of the rotation. +* ===================================================================== + SUBROUTINE DLARTG( F, G, CS, SN, R ) * -* R (output) DOUBLE PRECISION -* The nonzero component of the rotated vector. +* -- 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 2011 * -* This version has a few statements commented out for thread safety -* (machine parameters are computed on each entry). 10 feb 03, SJH. +* .. Scalar Arguments .. + DOUBLE PRECISION CS, F, G, R, SN +* .. * * ===================================================================== *