--- rpl/lapack/lapack/dgsvj1.f	2016/08/27 15:27:09	1.15
+++ rpl/lapack/lapack/dgsvj1.f	2023/08/07 08:38:51	1.22
@@ -2,25 +2,25 @@
 *
 *  =========== DOCUMENTATION ===========
 *
-* Online html documentation available at 
-*            http://www.netlib.org/lapack/explore-html/ 
+* Online html documentation available at
+*            http://www.netlib.org/lapack/explore-html/
 *
 *> \htmlonly
-*> Download DGSVJ1 + dependencies 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgsvj1.f"> 
-*> [TGZ]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgsvj1.f"> 
-*> [ZIP]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgsvj1.f"> 
+*> Download DGSVJ1 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgsvj1.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgsvj1.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgsvj1.f">
 *> [TXT]</a>
-*> \endhtmlonly 
+*> \endhtmlonly
 *
 *  Definition:
 *  ===========
 *
 *       SUBROUTINE DGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV,
 *                          EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO )
-* 
+*
 *       .. Scalar Arguments ..
 *       DOUBLE PRECISION   EPS, SFMIN, TOL
 *       INTEGER            INFO, LDA, LDV, LWORK, M, MV, N, N1, NSWEEP
@@ -30,7 +30,7 @@
 *       DOUBLE PRECISION   A( LDA, * ), D( N ), SVA( N ), V( LDV, * ),
 *      $                   WORK( LWORK )
 *       ..
-*  
+*
 *
 *> \par Purpose:
 *  =============
@@ -40,7 +40,7 @@
 *> DGSVJ1 is called from DGESVJ as a pre-processor and that is its main
 *> purpose. It applies Jacobi rotations in the same way as DGESVJ does, but
 *> it targets only particular pivots and it does not check convergence
-*> (stopping criterion). Few tunning parameters (marked by [TP]) are
+*> (stopping criterion). Few tuning parameters (marked by [TP]) are
 *> available for the implementer.
 *>
 *> Further Details
@@ -61,7 +61,7 @@
 *> In terms of the columns of A, the first N1 columns are rotated 'against'
 *> the remaining N-N1 columns, trying to increase the angle between the
 *> corresponding subspaces. The off-diagonal block is N1-by(N-N1) and it is
-*> tiled using quadratic tiles of side KBL. Here, KBL is a tunning parmeter.
+*> tiled using quadratic tiles of side KBL. Here, KBL is a tuning parameter.
 *> The number of sweeps is given in NSWEEP and the orthogonality threshold
 *> is given in TOL.
 *> \endverbatim
@@ -147,27 +147,27 @@
 *> \param[in] MV
 *> \verbatim
 *>          MV is INTEGER
-*>          If JOBV .EQ. 'A', then MV rows of V are post-multipled by a
-*>                           sequence of Jacobi rotations.
-*>          If JOBV = 'N',   then MV is not referenced.
+*>          If JOBV = 'A', then MV rows of V are post-multipled by a
+*>                         sequence of Jacobi rotations.
+*>          If JOBV = 'N', then MV is not referenced.
 *> \endverbatim
 *>
 *> \param[in,out] V
 *> \verbatim
 *>          V is DOUBLE PRECISION array, dimension (LDV,N)
-*>          If JOBV .EQ. 'V' then N rows of V are post-multipled by a
-*>                           sequence of Jacobi rotations.
-*>          If JOBV .EQ. 'A' then MV rows of V are post-multipled by a
-*>                           sequence of Jacobi rotations.
-*>          If JOBV = 'N',   then V is not referenced.
+*>          If JOBV = 'V', then N rows of V are post-multipled by a
+*>                         sequence of Jacobi rotations.
+*>          If JOBV = 'A', then MV rows of V are post-multipled by a
+*>                         sequence of Jacobi rotations.
+*>          If JOBV = 'N', then V is not referenced.
 *> \endverbatim
 *>
 *> \param[in] LDV
 *> \verbatim
 *>          LDV is INTEGER
 *>          The leading dimension of the array V,  LDV >= 1.
-*>          If JOBV = 'V', LDV .GE. N.
-*>          If JOBV = 'A', LDV .GE. MV.
+*>          If JOBV = 'V', LDV >= N.
+*>          If JOBV = 'A', LDV >= MV.
 *> \endverbatim
 *>
 *> \param[in] EPS
@@ -187,7 +187,7 @@
 *>          TOL is DOUBLE PRECISION
 *>          TOL is the threshold for Jacobi rotations. For a pair
 *>          A(:,p), A(:,q) of pivot columns, the Jacobi rotation is
-*>          applied only if DABS(COS(angle(A(:,p),A(:,q)))) .GT. TOL.
+*>          applied only if DABS(COS(angle(A(:,p),A(:,q)))) > TOL.
 *> \endverbatim
 *>
 *> \param[in] NSWEEP
@@ -205,25 +205,23 @@
 *> \param[in] LWORK
 *> \verbatim
 *>          LWORK is INTEGER
-*>          LWORK is the dimension of WORK. LWORK .GE. M.
+*>          LWORK is the dimension of WORK. LWORK >= M.
 *> \endverbatim
 *>
 *> \param[out] INFO
 *> \verbatim
 *>          INFO is INTEGER
-*>          = 0 : successful exit.
-*>          < 0 : if INFO = -i, then the i-th argument had an illegal value
+*>          = 0:  successful exit.
+*>          < 0:  if INFO = -i, then the i-th argument had an illegal value
 *> \endverbatim
 *
 *  Authors:
 *  ========
 *
-*> \author Univ. of Tennessee 
-*> \author Univ. of California Berkeley 
-*> \author Univ. of Colorado Denver 
-*> \author NAG Ltd. 
-*
-*> \date June 2016
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
 *
 *> \ingroup doubleOTHERcomputational
 *
@@ -236,10 +234,9 @@
       SUBROUTINE DGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV,
      $                   EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO )
 *
-*  -- LAPACK computational routine (version 3.6.1) --
+*  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     June 2016
 *
 *     .. Scalar Arguments ..
       DOUBLE PRECISION   EPS, SFMIN, TOL
@@ -280,7 +277,8 @@
       EXTERNAL           IDAMAX, LSAME, DDOT, DNRM2
 *     ..
 *     .. External Subroutines ..
-      EXTERNAL           DAXPY, DCOPY, DLASCL, DLASSQ, DROTM, DSWAP
+      EXTERNAL           DAXPY, DCOPY, DLASCL, DLASSQ, DROTM, DSWAP,
+     $                   XERBLA
 *     ..
 *     .. Executable Statements ..
 *
@@ -300,7 +298,7 @@
          INFO = -6
       ELSE IF( ( RSVEC.OR.APPLV ) .AND. ( MV.LT.0 ) ) THEN
          INFO = -9
-      ELSE IF( ( RSVEC.AND.( LDV.LT.N ) ).OR. 
+      ELSE IF( ( RSVEC.AND.( LDV.LT.N ) ).OR.
      $         ( APPLV.AND.( LDV.LT.MV ) )  ) THEN
          INFO = -11
       ELSE IF( TOL.LE.EPS ) THEN
@@ -499,7 +497,7 @@
                                     MXSINJ = MAX( MXSINJ, DABS( SN ) )
                                     SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
      $                                         ONE+T*APOAQ*AAPQ ) )
-                                    AAPP = AAPP*DSQRT( MAX( ZERO, 
+                                    AAPP = AAPP*DSQRT( MAX( ZERO,
      $                                    ONE-T*AQOAP*AAPQ ) )
 
                                     APOAQ = D( p ) / D( q )