Merge pull request #201 from Bytom/v0.1

[bytom/vapor.git] / vendor / gonum.org / v1 / gonum / lapack / internal / testdata / netlib / dlaqr1.f

diff --git a/vendor/gonum.org/v1/gonum/lapack/internal/testdata/netlib/dlaqr1.f b/vendor/gonum.org/v1/gonum/lapack/internal/testdata/netlib/dlaqr1.f
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-*> \brief \b DLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts.
-*
-*  =========== DOCUMENTATION ===========
-*
-* Online html documentation available at 
-*            http://www.netlib.org/lapack/explore-html/ 
-*
-*> \htmlonly
-*> Download DLAQR1 + dependencies 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaqr1.f"> 
-*> [TGZ]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaqr1.f"> 
-*> [ZIP]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaqr1.f"> 
-*> [TXT]</a>
-*> \endhtmlonly 
-*
-*  Definition:
-*  ===========
-*
-*       SUBROUTINE DLAQR1( N, H, LDH, SR1, SI1, SR2, SI2, V )
-* 
-*       .. Scalar Arguments ..
-*       DOUBLE PRECISION   SI1, SI2, SR1, SR2
-*       INTEGER            LDH, N
-*       ..
-*       .. Array Arguments ..
-*       DOUBLE PRECISION   H( LDH, * ), V( * )
-*       ..
-*  
-*
-*> \par Purpose:
-*  =============
-*>
-*> \verbatim
-*>
-*>      Given a 2-by-2 or 3-by-3 matrix H, DLAQR1 sets v to a
-*>      scalar multiple of the first column of the product
-*>
-*>      (*)  K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)
-*>
-*>      scaling to avoid overflows and most underflows. It
-*>      is assumed that either
-*>
-*>              1) sr1 = sr2 and si1 = -si2
-*>          or
-*>              2) si1 = si2 = 0.
-*>
-*>      This is useful for starting double implicit shift bulges
-*>      in the QR algorithm.
-*> \endverbatim
-*
-*  Arguments:
-*  ==========
-*
-*> \param[in] N
-*> \verbatim
-*>          N is integer
-*>              Order of the matrix H. N must be either 2 or 3.
-*> \endverbatim
-*>
-*> \param[in] H
-*> \verbatim
-*>          H is DOUBLE PRECISION array of dimension (LDH,N)
-*>              The 2-by-2 or 3-by-3 matrix H in (*).
-*> \endverbatim
-*>
-*> \param[in] LDH
-*> \verbatim
-*>          LDH is integer
-*>              The leading dimension of H as declared in
-*>              the calling procedure.  LDH.GE.N
-*> \endverbatim
-*>
-*> \param[in] SR1
-*> \verbatim
-*>          SR1 is DOUBLE PRECISION
-*> \endverbatim
-*>
-*> \param[in] SI1
-*> \verbatim
-*>          SI1 is DOUBLE PRECISION
-*> \endverbatim
-*>
-*> \param[in] SR2
-*> \verbatim
-*>          SR2 is DOUBLE PRECISION
-*> \endverbatim
-*>
-*> \param[in] SI2
-*> \verbatim
-*>          SI2 is DOUBLE PRECISION
-*>              The shifts in (*).
-*> \endverbatim
-*>
-*> \param[out] V
-*> \verbatim
-*>          V is DOUBLE PRECISION array of dimension N
-*>              A scalar multiple of the first column of the
-*>              matrix K in (*).
-*> \endverbatim
-*
-*  Authors:
-*  ========
-*
-*> \author Univ. of Tennessee 
-*> \author Univ. of California Berkeley 
-*> \author Univ. of Colorado Denver 
-*> \author NAG Ltd. 
-*
-*> \date September 2012
-*
-*> \ingroup doubleOTHERauxiliary
-*
-*> \par Contributors:
-*  ==================
-*>
-*>       Karen Braman and Ralph Byers, Department of Mathematics,
-*>       University of Kansas, USA
-*>
-*  =====================================================================
-      SUBROUTINE DLAQR1( N, H, LDH, SR1, SI1, SR2, SI2, V )
-*
-*  -- LAPACK auxiliary routine (version 3.4.2) --
-*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
-*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     September 2012
-*
-*     .. Scalar Arguments ..
-      DOUBLE PRECISION   SI1, SI2, SR1, SR2
-      INTEGER            LDH, N
-*     ..
-*     .. Array Arguments ..
-      DOUBLE PRECISION   H( LDH, * ), V( * )
-*     ..
-*
-*  ================================================================
-*
-*     .. Parameters ..
-      DOUBLE PRECISION   ZERO
-      PARAMETER          ( ZERO = 0.0d0 )
-*     ..
-*     .. Local Scalars ..
-      DOUBLE PRECISION   H21S, H31S, S
-*     ..
-*     .. Intrinsic Functions ..
-      INTRINSIC          ABS
-*     ..
-*     .. Executable Statements ..
-      IF( N.EQ.2 ) THEN
-         S = ABS( H( 1, 1 )-SR2 ) + ABS( SI2 ) + ABS( H( 2, 1 ) )
-         IF( S.EQ.ZERO ) THEN
-            V( 1 ) = ZERO
-            V( 2 ) = ZERO
-         ELSE
-            H21S = H( 2, 1 ) / S
-            V( 1 ) = H21S*H( 1, 2 ) + ( H( 1, 1 )-SR1 )*
-     $               ( ( H( 1, 1 )-SR2 ) / S ) - SI1*( SI2 / S )
-            V( 2 ) = H21S*( H( 1, 1 )+H( 2, 2 )-SR1-SR2 )
-         END IF
-      ELSE
-         S = ABS( H( 1, 1 )-SR2 ) + ABS( SI2 ) + ABS( H( 2, 1 ) ) +
-     $       ABS( H( 3, 1 ) )
-         IF( S.EQ.ZERO ) THEN
-            V( 1 ) = ZERO
-            V( 2 ) = ZERO
-            V( 3 ) = ZERO
-         ELSE
-            H21S = H( 2, 1 ) / S
-            H31S = H( 3, 1 ) / S
-            V( 1 ) = ( H( 1, 1 )-SR1 )*( ( H( 1, 1 )-SR2 ) / S ) -
-     $               SI1*( SI2 / S ) + H( 1, 2 )*H21S + H( 1, 3 )*H31S
-            V( 2 ) = H21S*( H( 1, 1 )+H( 2, 2 )-SR1-SR2 ) +
-     $               H( 2, 3 )*H31S
-            V( 3 ) = H31S*( H( 1, 1 )+H( 3, 3 )-SR1-SR2 ) +
-     $               H21S*H( 3, 2 )
-         END IF
-      END IF
-      END