--- rpl/lapack/lapack/dorbdb1.f	2014/01/27 09:24:34	1.1
+++ rpl/lapack/lapack/dorbdb1.f	2023/08/07 08:39:01	1.9
@@ -2,8 +2,8 @@
 *
 *  =========== 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 DORBDB1 + dependencies
@@ -20,7 +20,7 @@
 *
 *       SUBROUTINE DORBDB1( M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI,
 *                           TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO )
-* 
+*
 *       .. Scalar Arguments ..
 *       INTEGER            INFO, LWORK, M, P, Q, LDX11, LDX21
 *       ..
@@ -29,10 +29,10 @@
 *       DOUBLE PRECISION   TAUP1(*), TAUP2(*), TAUQ1(*), WORK(*),
 *      $                   X11(LDX11,*), X21(LDX21,*)
 *       ..
-*  
-* 
+*
+*
 *> \par Purpose:
-*> =============
+*  =============
 *>
 *>\verbatim
 *>
@@ -151,7 +151,7 @@
 *> \verbatim
 *>          LWORK is INTEGER
 *>           The dimension of the array WORK. LWORK >= M-Q.
-*> 
+*>
 *>           If LWORK = -1, then a workspace query is assumed; the routine
 *>           only calculates the optimal size of the WORK array, returns
 *>           this value as the first entry of the WORK array, and no error
@@ -169,12 +169,10 @@
 *  Authors:
 *  ========
 *
-*> \author Univ. of Tennessee 
-*> \author Univ. of California Berkeley 
-*> \author Univ. of Colorado Denver 
-*> \author NAG Ltd. 
-*
-*> \date July 2012
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
 *
 *> \ingroup doubleOTHERcomputational
 *
@@ -203,10 +201,9 @@
       SUBROUTINE DORBDB1( M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI,
      $                    TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO )
 *
-*  -- LAPACK computational routine (version 3.5.0) --
+*  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     July 2012
 *
 *     .. Scalar Arguments ..
       INTEGER            INFO, LWORK, M, P, Q, LDX11, LDX21
@@ -304,9 +301,8 @@
      $                  X11(I+1,I+1), LDX11, WORK(ILARF) )
             CALL DLARF( 'R', M-P-I, Q-I, X21(I,I+1), LDX21, TAUQ1(I),
      $                  X21(I+1,I+1), LDX21, WORK(ILARF) )
-            C = SQRT( DNRM2( P-I, X11(I+1,I+1), 1, X11(I+1,I+1),
-     $          1 )**2 + DNRM2( M-P-I, X21(I+1,I+1), 1, X21(I+1,I+1),
-     $          1 )**2 )
+            C = SQRT( DNRM2( P-I, X11(I+1,I+1), 1 )**2
+     $          + DNRM2( M-P-I, X21(I+1,I+1), 1 )**2 )
             PHI(I) = ATAN2( S, C )
             CALL DORBDB5( P-I, M-P-I, Q-I-1, X11(I+1,I+1), 1,
      $                    X21(I+1,I+1), 1, X11(I+1,I+2), LDX11,