--- rpl/lapack/lapack/dgebak.f	2010/01/26 15:22:46	1.1.1.1
+++ rpl/lapack/lapack/dgebak.f	2023/08/07 08:38:47	1.18
@@ -1,10 +1,136 @@
+*> \brief \b DGEBAK
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+*            http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DGEBAK + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgebak.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgebak.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgebak.f">
+*> [TXT]</a>
+*> \endhtmlonly
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DGEBAK( JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV,
+*                          INFO )
+*
+*       .. Scalar Arguments ..
+*       CHARACTER          JOB, SIDE
+*       INTEGER            IHI, ILO, INFO, LDV, M, N
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   SCALE( * ), V( LDV, * )
+*       ..
+*
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DGEBAK forms the right or left eigenvectors of a real general matrix
+*> by backward transformation on the computed eigenvectors of the
+*> balanced matrix output by DGEBAL.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] JOB
+*> \verbatim
+*>          JOB is CHARACTER*1
+*>          Specifies the type of backward transformation required:
+*>          = 'N': do nothing, return immediately;
+*>          = 'P': do backward transformation for permutation only;
+*>          = 'S': do backward transformation for scaling only;
+*>          = 'B': do backward transformations for both permutation and
+*>                 scaling.
+*>          JOB must be the same as the argument JOB supplied to DGEBAL.
+*> \endverbatim
+*>
+*> \param[in] SIDE
+*> \verbatim
+*>          SIDE is CHARACTER*1
+*>          = 'R':  V contains right eigenvectors;
+*>          = 'L':  V contains left eigenvectors.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of rows of the matrix V.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in] ILO
+*> \verbatim
+*>          ILO is INTEGER
+*> \endverbatim
+*>
+*> \param[in] IHI
+*> \verbatim
+*>          IHI is INTEGER
+*>          The integers ILO and IHI determined by DGEBAL.
+*>          1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
+*> \endverbatim
+*>
+*> \param[in] SCALE
+*> \verbatim
+*>          SCALE is DOUBLE PRECISION array, dimension (N)
+*>          Details of the permutation and scaling factors, as returned
+*>          by DGEBAL.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of columns of the matrix V.  M >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] V
+*> \verbatim
+*>          V is DOUBLE PRECISION array, dimension (LDV,M)
+*>          On entry, the matrix of right or left eigenvectors to be
+*>          transformed, as returned by DHSEIN or DTREVC.
+*>          On exit, V is overwritten by the transformed eigenvectors.
+*> \endverbatim
+*>
+*> \param[in] LDV
+*> \verbatim
+*>          LDV is INTEGER
+*>          The leading dimension of the array V. LDV >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*>          INFO is INTEGER
+*>          = 0:  successful exit
+*>          < 0:  if INFO = -i, 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.
+*
+*> \ingroup doubleGEcomputational
+*
+*  =====================================================================
       SUBROUTINE DGEBAK( JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV,
      $                   INFO )
 *
-*  -- LAPACK routine (version 3.2) --
+*  -- LAPACK computational routine --
 *  -- 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 ..
       CHARACTER          JOB, SIDE
@@ -14,56 +140,6 @@
       DOUBLE PRECISION   SCALE( * ), V( LDV, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  DGEBAK forms the right or left eigenvectors of a real general matrix
-*  by backward transformation on the computed eigenvectors of the
-*  balanced matrix output by DGEBAL.
-*
-*  Arguments
-*  =========
-*
-*  JOB     (input) CHARACTER*1
-*          Specifies the type of backward transformation required:
-*          = 'N', do nothing, return immediately;
-*          = 'P', do backward transformation for permutation only;
-*          = 'S', do backward transformation for scaling only;
-*          = 'B', do backward transformations for both permutation and
-*                 scaling.
-*          JOB must be the same as the argument JOB supplied to DGEBAL.
-*
-*  SIDE    (input) CHARACTER*1
-*          = 'R':  V contains right eigenvectors;
-*          = 'L':  V contains left eigenvectors.
-*
-*  N       (input) INTEGER
-*          The number of rows of the matrix V.  N >= 0.
-*
-*  ILO     (input) INTEGER
-*  IHI     (input) INTEGER
-*          The integers ILO and IHI determined by DGEBAL.
-*          1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
-*
-*  SCALE   (input) DOUBLE PRECISION array, dimension (N)
-*          Details of the permutation and scaling factors, as returned
-*          by DGEBAL.
-*
-*  M       (input) INTEGER
-*          The number of columns of the matrix V.  M >= 0.
-*
-*  V       (input/output) DOUBLE PRECISION array, dimension (LDV,M)
-*          On entry, the matrix of right or left eigenvectors to be
-*          transformed, as returned by DHSEIN or DTREVC.
-*          On exit, V is overwritten by the transformed eigenvectors.
-*
-*  LDV     (input) INTEGER
-*          The leading dimension of the array V. LDV >= max(1,N).
-*
-*  INFO    (output) INTEGER
-*          = 0:  successful exit
-*          < 0:  if INFO = -i, the i-th argument had an illegal value.
-*
 *  =====================================================================
 *
 *     .. Parameters ..
@@ -160,7 +236,7 @@
      $            GO TO 40
                IF( I.LT.ILO )
      $            I = ILO - II
-               K = SCALE( I )
+               K = INT( SCALE( I ) )
                IF( K.EQ.I )
      $            GO TO 40
                CALL DSWAP( M, V( I, 1 ), LDV, V( K, 1 ), LDV )
@@ -174,7 +250,7 @@
      $            GO TO 50
                IF( I.LT.ILO )
      $            I = ILO - II
-               K = SCALE( I )
+               K = INT( SCALE( I ) )
                IF( K.EQ.I )
      $            GO TO 50
                CALL DSWAP( M, V( I, 1 ), LDV, V( K, 1 ), LDV )