--- rpl/lapack/lapack/dlasq3.f 2010/12/21 13:53:33 1.8 +++ rpl/lapack/lapack/dlasq3.f 2011/11/21 20:42:59 1.9 @@ -1,16 +1,191 @@ +*> \brief \b DLASQ3 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLASQ3 + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE DLASQ3( I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL, +* ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, +* DN2, G, TAU ) +* +* .. Scalar Arguments .. +* LOGICAL IEEE +* INTEGER I0, ITER, N0, NDIV, NFAIL, PP +* DOUBLE PRECISION DESIG, DMIN, DMIN1, DMIN2, DN, DN1, DN2, G, +* $ QMAX, SIGMA, TAU +* .. +* .. Array Arguments .. +* DOUBLE PRECISION Z( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DLASQ3 checks for deflation, computes a shift (TAU) and calls dqds. +*> In case of failure it changes shifts, and tries again until output +*> is positive. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] I0 +*> \verbatim +*> I0 is INTEGER +*> First index. +*> \endverbatim +*> +*> \param[in,out] N0 +*> \verbatim +*> N0 is INTEGER +*> Last index. +*> \endverbatim +*> +*> \param[in] Z +*> \verbatim +*> Z is DOUBLE PRECISION array, dimension ( 4*N ) +*> Z holds the qd array. +*> \endverbatim +*> +*> \param[in,out] PP +*> \verbatim +*> PP is INTEGER +*> PP=0 for ping, PP=1 for pong. +*> PP=2 indicates that flipping was applied to the Z array +*> and that the initial tests for deflation should not be +*> performed. +*> \endverbatim +*> +*> \param[out] DMIN +*> \verbatim +*> DMIN is DOUBLE PRECISION +*> Minimum value of d. +*> \endverbatim +*> +*> \param[out] SIGMA +*> \verbatim +*> SIGMA is DOUBLE PRECISION +*> Sum of shifts used in current segment. +*> \endverbatim +*> +*> \param[in,out] DESIG +*> \verbatim +*> DESIG is DOUBLE PRECISION +*> Lower order part of SIGMA +*> \endverbatim +*> +*> \param[in] QMAX +*> \verbatim +*> QMAX is DOUBLE PRECISION +*> Maximum value of q. +*> \endverbatim +*> +*> \param[out] NFAIL +*> \verbatim +*> NFAIL is INTEGER +*> Number of times shift was too big. +*> \endverbatim +*> +*> \param[out] ITER +*> \verbatim +*> ITER is INTEGER +*> Number of iterations. +*> \endverbatim +*> +*> \param[out] NDIV +*> \verbatim +*> NDIV is INTEGER +*> Number of divisions. +*> \endverbatim +*> +*> \param[in] IEEE +*> \verbatim +*> IEEE is LOGICAL +*> Flag for IEEE or non IEEE arithmetic (passed to DLASQ5). +*> \endverbatim +*> +*> \param[in,out] TTYPE +*> \verbatim +*> TTYPE is INTEGER +*> Shift type. +*> \endverbatim +*> +*> \param[in,out] DMIN1 +*> \verbatim +*> DMIN1 is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] DMIN2 +*> \verbatim +*> DMIN2 is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] DN +*> \verbatim +*> DN is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] DN1 +*> \verbatim +*> DN1 is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] DN2 +*> \verbatim +*> DN2 is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] G +*> \verbatim +*> G is DOUBLE PRECISION +*> \endverbatim +*> +*> \param[in,out] TAU +*> \verbatim +*> TAU is DOUBLE PRECISION +*> +*> These are passed as arguments in order to save their values +*> between calls to DLASQ3. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup auxOTHERcomputational +* +* ===================================================================== SUBROUTINE DLASQ3( I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL, $ ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, $ DN2, G, TAU ) * -* -- LAPACK routine (version 3.2.2) -- -* -* -- Contributed by Osni Marques of the Lawrence Berkeley National -- -* -- Laboratory and Beresford Parlett of the Univ. of California at -- -* -- Berkeley -- -* -- June 2010 -- -* +* -- LAPACK computational 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 * * .. Scalar Arguments .. LOGICAL IEEE @@ -22,75 +197,6 @@ DOUBLE PRECISION Z( * ) * .. * -* Purpose -* ======= -* -* DLASQ3 checks for deflation, computes a shift (TAU) and calls dqds. -* In case of failure it changes shifts, and tries again until output -* is positive. -* -* Arguments -* ========= -* -* I0 (input) INTEGER -* First index. -* -* N0 (input/output) INTEGER -* Last index. -* -* Z (input) DOUBLE PRECISION array, dimension ( 4*N ) -* Z holds the qd array. -* -* PP (input/output) INTEGER -* PP=0 for ping, PP=1 for pong. -* PP=2 indicates that flipping was applied to the Z array -* and that the initial tests for deflation should not be -* performed. -* -* DMIN (output) DOUBLE PRECISION -* Minimum value of d. -* -* SIGMA (output) DOUBLE PRECISION -* Sum of shifts used in current segment. -* -* DESIG (input/output) DOUBLE PRECISION -* Lower order part of SIGMA -* -* QMAX (input) DOUBLE PRECISION -* Maximum value of q. -* -* NFAIL (output) INTEGER -* Number of times shift was too big. -* -* ITER (output) INTEGER -* Number of iterations. -* -* NDIV (output) INTEGER -* Number of divisions. -* -* IEEE (input) LOGICAL -* Flag for IEEE or non IEEE arithmetic (passed to DLASQ5). -* -* TTYPE (input/output) INTEGER -* Shift type. -* -* DMIN1 (input/output) DOUBLE PRECISION -* -* DMIN2 (input/output) DOUBLE PRECISION -* -* DN (input/output) DOUBLE PRECISION -* -* DN1 (input/output) DOUBLE PRECISION -* -* DN2 (input/output) DOUBLE PRECISION -* -* G (input/output) DOUBLE PRECISION -* -* TAU (input/output) DOUBLE PRECISION -* -* These are passed as arguments in order to save their values -* between calls to DLASQ3. -* * ===================================================================== * * .. Parameters ..