Moving lapack to right place

1 files changed, 0 insertions, 395 deletions

diff --git a/src/lib/lapack/zhseqr.f b/src/lib/lapack/zhseqr.f
deleted file mode 100644
index fb721dad..00000000
--- a/src/lib/lapack/zhseqr.f
+++ /dev/null
@@ -1,395 +0,0 @@
-      SUBROUTINE ZHSEQR( JOB, COMPZ, N, ILO, IHI, H, LDH, W, Z, LDZ,
-     $                   WORK, LWORK, INFO )
-*
-*  -- LAPACK driver routine (version 3.1) --
-*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-*     November 2006
-*
-*     .. Scalar Arguments ..
-      INTEGER            IHI, ILO, INFO, LDH, LDZ, LWORK, N
-      CHARACTER          COMPZ, JOB
-*     ..
-*     .. Array Arguments ..
-      COMPLEX*16         H( LDH, * ), W( * ), WORK( * ), Z( LDZ, * )
-*     ..
-*     Purpose
-*     =======
-*
-*     ZHSEQR computes the eigenvalues of a Hessenberg matrix H
-*     and, optionally, the matrices T and Z from the Schur decomposition
-*     H = Z T Z**H, where T is an upper triangular matrix (the
-*     Schur form), and Z is the unitary matrix of Schur vectors.
-*
-*     Optionally Z may be postmultiplied into an input unitary
-*     matrix Q so that this routine can give the Schur factorization
-*     of a matrix A which has been reduced to the Hessenberg form H
-*     by the unitary matrix Q:  A = Q*H*Q**H = (QZ)*H*(QZ)**H.
-*
-*     Arguments
-*     =========
-*
-*     JOB   (input) CHARACTER*1
-*           = 'E':  compute eigenvalues only;
-*           = 'S':  compute eigenvalues and the Schur form T.
-*
-*     COMPZ (input) CHARACTER*1
-*           = 'N':  no Schur vectors are computed;
-*           = 'I':  Z is initialized to the unit matrix and the matrix Z
-*                   of Schur vectors of H is returned;
-*           = 'V':  Z must contain an unitary matrix Q on entry, and
-*                   the product Q*Z is returned.
-*
-*     N     (input) INTEGER
-*           The order of the matrix H.  N .GE. 0.
-*
-*     ILO   (input) INTEGER
-*     IHI   (input) INTEGER
-*           It is assumed that H is already upper triangular in rows
-*           and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally
-*           set by a previous call to ZGEBAL, and then passed to ZGEHRD
-*           when the matrix output by ZGEBAL is reduced to Hessenberg
-*           form. Otherwise ILO and IHI should be set to 1 and N
-*           respectively.  If N.GT.0, then 1.LE.ILO.LE.IHI.LE.N.
-*           If N = 0, then ILO = 1 and IHI = 0.
-*
-*     H     (input/output) COMPLEX*16 array, dimension (LDH,N)
-*           On entry, the upper Hessenberg matrix H.
-*           On exit, if INFO = 0 and JOB = 'S', H contains the upper
-*           triangular matrix T from the Schur decomposition (the
-*           Schur form). If INFO = 0 and JOB = 'E', the contents of
-*           H are unspecified on exit.  (The output value of H when
-*           INFO.GT.0 is given under the description of INFO below.)
-*
-*           Unlike earlier versions of ZHSEQR, this subroutine may
-*           explicitly H(i,j) = 0 for i.GT.j and j = 1, 2, ... ILO-1
-*           or j = IHI+1, IHI+2, ... N.
-*
-*     LDH   (input) INTEGER
-*           The leading dimension of the array H. LDH .GE. max(1,N).
-*
-*     W        (output) COMPLEX*16 array, dimension (N)
-*           The computed eigenvalues. If JOB = 'S', the eigenvalues are
-*           stored in the same order as on the diagonal of the Schur
-*           form returned in H, with W(i) = H(i,i).
-*
-*     Z     (input/output) COMPLEX*16 array, dimension (LDZ,N)
-*           If COMPZ = 'N', Z is not referenced.
-*           If COMPZ = 'I', on entry Z need not be set and on exit,
-*           if INFO = 0, Z contains the unitary matrix Z of the Schur
-*           vectors of H.  If COMPZ = 'V', on entry Z must contain an
-*           N-by-N matrix Q, which is assumed to be equal to the unit
-*           matrix except for the submatrix Z(ILO:IHI,ILO:IHI). On exit,
-*           if INFO = 0, Z contains Q*Z.
-*           Normally Q is the unitary matrix generated by ZUNGHR
-*           after the call to ZGEHRD which formed the Hessenberg matrix
-*           H. (The output value of Z when INFO.GT.0 is given under
-*           the description of INFO below.)
-*
-*     LDZ   (input) INTEGER
-*           The leading dimension of the array Z.  if COMPZ = 'I' or
-*           COMPZ = 'V', then LDZ.GE.MAX(1,N).  Otherwize, LDZ.GE.1.
-*
-*     WORK  (workspace/output) COMPLEX*16 array, dimension (LWORK)
-*           On exit, if INFO = 0, WORK(1) returns an estimate of
-*           the optimal value for LWORK.
-*
-*     LWORK (input) INTEGER
-*           The dimension of the array WORK.  LWORK .GE. max(1,N)
-*           is sufficient, but LWORK typically as large as 6*N may
-*           be required for optimal performance.  A workspace query
-*           to determine the optimal workspace size is recommended.
-*
-*           If LWORK = -1, then ZHSEQR does a workspace query.
-*           In this case, ZHSEQR checks the input parameters and
-*           estimates the optimal workspace size for the given
-*           values of N, ILO and IHI.  The estimate is returned
-*           in WORK(1).  No error message related to LWORK is
-*           issued by XERBLA.  Neither H nor Z are accessed.
-*
-*
-*     INFO  (output) INTEGER
-*             =  0:  successful exit
-*           .LT. 0:  if INFO = -i, the i-th argument had an illegal
-*                    value
-*           .GT. 0:  if INFO = i, ZHSEQR failed to compute all of
-*                the eigenvalues.  Elements 1:ilo-1 and i+1:n of WR
-*                and WI contain those eigenvalues which have been
-*                successfully computed.  (Failures are rare.)
-*
-*                If INFO .GT. 0 and JOB = 'E', then on exit, the
-*                remaining unconverged eigenvalues are the eigen-
-*                values of the upper Hessenberg matrix rows and
-*                columns ILO through INFO of the final, output
-*                value of H.
-*
-*                If INFO .GT. 0 and JOB   = 'S', then on exit
-*
-*           (*)  (initial value of H)*U  = U*(final value of H)
-*
-*                where U is a unitary matrix.  The final
-*                value of  H is upper Hessenberg and triangular in
-*                rows and columns INFO+1 through IHI.
-*
-*                If INFO .GT. 0 and COMPZ = 'V', then on exit
-*
-*                  (final value of Z)  =  (initial value of Z)*U
-*
-*                where U is the unitary matrix in (*) (regard-
-*                less of the value of JOB.)
-*
-*                If INFO .GT. 0 and COMPZ = 'I', then on exit
-*                      (final value of Z)  = U
-*                where U is the unitary matrix in (*) (regard-
-*                less of the value of JOB.)
-*
-*                If INFO .GT. 0 and COMPZ = 'N', then Z is not
-*                accessed.
-*
-*     ================================================================
-*             Default values supplied by
-*             ILAENV(ISPEC,'ZHSEQR',JOB(:1)//COMPZ(:1),N,ILO,IHI,LWORK).
-*             It is suggested that these defaults be adjusted in order
-*             to attain best performance in each particular
-*             computational environment.
-*
-*            ISPEC=1:  The ZLAHQR vs ZLAQR0 crossover point.
-*                      Default: 75. (Must be at least 11.)
-*
-*            ISPEC=2:  Recommended deflation window size.
-*                      This depends on ILO, IHI and NS.  NS is the
-*                      number of simultaneous shifts returned
-*                      by ILAENV(ISPEC=4).  (See ISPEC=4 below.)
-*                      The default for (IHI-ILO+1).LE.500 is NS.
-*                      The default for (IHI-ILO+1).GT.500 is 3*NS/2.
-*
-*            ISPEC=3:  Nibble crossover point. (See ILAENV for
-*                      details.)  Default: 14% of deflation window
-*                      size.
-*
-*            ISPEC=4:  Number of simultaneous shifts, NS, in
-*                      a multi-shift QR iteration.
-*
-*                      If IHI-ILO+1 is ...
-*
-*                      greater than      ...but less    ... the
-*                      or equal to ...      than        default is
-*
-*                           1               30          NS -   2(+)
-*                          30               60          NS -   4(+)
-*                          60              150          NS =  10(+)
-*                         150              590          NS =  **
-*                         590             3000          NS =  64
-*                        3000             6000          NS = 128
-*                        6000             infinity      NS = 256
-*
-*                  (+)  By default some or all matrices of this order 
-*                       are passed to the implicit double shift routine
-*                       ZLAHQR and NS is ignored.  See ISPEC=1 above 
-*                       and comments in IPARM for details.
-*
-*                       The asterisks (**) indicate an ad-hoc
-*                       function of N increasing from 10 to 64.
-*
-*            ISPEC=5:  Select structured matrix multiply.
-*                      (See ILAENV for details.) Default: 3.
-*
-*     ================================================================
-*     Based on contributions by
-*        Karen Braman and Ralph Byers, Department of Mathematics,
-*        University of Kansas, USA
-*
-*     ================================================================
-*     References:
-*       K. Braman, R. Byers and R. Mathias, The Multi-Shift QR
-*       Algorithm Part I: Maintaining Well Focused Shifts, and Level 3
-*       Performance, SIAM Journal of Matrix Analysis, volume 23, pages
-*       929--947, 2002.
-*
-*       K. Braman, R. Byers and R. Mathias, The Multi-Shift QR
-*       Algorithm Part II: Aggressive Early Deflation, SIAM Journal
-*       of Matrix Analysis, volume 23, pages 948--973, 2002.
-*
-*     ================================================================
-*     .. Parameters ..
-*
-*     ==== Matrices of order NTINY or smaller must be processed by
-*     .    ZLAHQR because of insufficient subdiagonal scratch space.
-*     .    (This is a hard limit.) ====
-*
-*     ==== NL allocates some local workspace to help small matrices
-*     .    through a rare ZLAHQR failure.  NL .GT. NTINY = 11 is
-*     .    required and NL .LE. NMIN = ILAENV(ISPEC=1,...) is recom-
-*     .    mended.  (The default value of NMIN is 75.)  Using NL = 49
-*     .    allows up to six simultaneous shifts and a 16-by-16
-*     .    deflation window.  ====
-*
-      INTEGER            NTINY
-      PARAMETER          ( NTINY = 11 )
-      INTEGER            NL
-      PARAMETER          ( NL = 49 )
-      COMPLEX*16         ZERO, ONE
-      PARAMETER          ( ZERO = ( 0.0d0, 0.0d0 ),
-     $                   ONE = ( 1.0d0, 0.0d0 ) )
-      DOUBLE PRECISION   RZERO
-      PARAMETER          ( RZERO = 0.0d0 )
-*     ..
-*     .. Local Arrays ..
-      COMPLEX*16         HL( NL, NL ), WORKL( NL )
-*     ..
-*     .. Local Scalars ..
-      INTEGER            KBOT, NMIN
-      LOGICAL            INITZ, LQUERY, WANTT, WANTZ
-*     ..
-*     .. External Functions ..
-      INTEGER            ILAENV
-      LOGICAL            LSAME
-      EXTERNAL           ILAENV, LSAME
-*     ..
-*     .. External Subroutines ..
-      EXTERNAL           XERBLA, ZCOPY, ZLACPY, ZLAHQR, ZLAQR0, ZLASET
-*     ..
-*     .. Intrinsic Functions ..
-      INTRINSIC          DBLE, DCMPLX, MAX, MIN
-*     ..
-*     .. Executable Statements ..
-*
-*     ==== Decode and check the input parameters. ====
-*
-      WANTT = LSAME( JOB, 'S' )
-      INITZ = LSAME( COMPZ, 'I' )
-      WANTZ = INITZ .OR. LSAME( COMPZ, 'V' )
-      WORK( 1 ) = DCMPLX( DBLE( MAX( 1, N ) ), RZERO )
-      LQUERY = LWORK.EQ.-1
-*
-      INFO = 0
-      IF( .NOT.LSAME( JOB, 'E' ) .AND. .NOT.WANTT ) THEN
-         INFO = -1
-      ELSE IF( .NOT.LSAME( COMPZ, 'N' ) .AND. .NOT.WANTZ ) THEN
-         INFO = -2
-      ELSE IF( N.LT.0 ) THEN
-         INFO = -3
-      ELSE IF( ILO.LT.1 .OR. ILO.GT.MAX( 1, N ) ) THEN
-         INFO = -4
-      ELSE IF( IHI.LT.MIN( ILO, N ) .OR. IHI.GT.N ) THEN
-         INFO = -5
-      ELSE IF( LDH.LT.MAX( 1, N ) ) THEN
-         INFO = -7
-      ELSE IF( LDZ.LT.1 .OR. ( WANTZ .AND. LDZ.LT.MAX( 1, N ) ) ) THEN
-         INFO = -10
-      ELSE IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN
-         INFO = -12
-      END IF
-*
-      IF( INFO.NE.0 ) THEN
-*
-*        ==== Quick return in case of invalid argument. ====
-*
-         CALL XERBLA( 'ZHSEQR', -INFO )
-         RETURN
-*
-      ELSE IF( N.EQ.0 ) THEN
-*
-*        ==== Quick return in case N = 0; nothing to do. ====
-*
-         RETURN
-*
-      ELSE IF( LQUERY ) THEN
-*
-*        ==== Quick return in case of a workspace query ====
-*
-         CALL ZLAQR0( WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILO, IHI, Z,
-     $                LDZ, WORK, LWORK, INFO )
-*        ==== Ensure reported workspace size is backward-compatible with
-*        .    previous LAPACK versions. ====
-         WORK( 1 ) = DCMPLX( MAX( DBLE( WORK( 1 ) ), DBLE( MAX( 1,
-     $               N ) ) ), RZERO )
-         RETURN
-*
-      ELSE
-*
-*        ==== copy eigenvalues isolated by ZGEBAL ====
-*
-         IF( ILO.GT.1 )
-     $      CALL ZCOPY( ILO-1, H, LDH+1, W, 1 )
-         IF( IHI.LT.N )
-     $      CALL ZCOPY( N-IHI, H( IHI+1, IHI+1 ), LDH+1, W( IHI+1 ), 1 )
-*
-*        ==== Initialize Z, if requested ====
-*
-         IF( INITZ )
-     $      CALL ZLASET( 'A', N, N, ZERO, ONE, Z, LDZ )
-*
-*        ==== Quick return if possible ====
-*
-         IF( ILO.EQ.IHI ) THEN
-            W( ILO ) = H( ILO, ILO )
-            RETURN
-         END IF
-*
-*        ==== ZLAHQR/ZLAQR0 crossover point ====
-*
-         NMIN = ILAENV( 1, 'ZHSEQR', JOB( : 1 ) // COMPZ( : 1 ), N, ILO,
-     $          IHI, LWORK )
-         NMIN = MAX( NTINY, NMIN )
-*
-*        ==== ZLAQR0 for big matrices; ZLAHQR for small ones ====
-*
-         IF( N.GT.NMIN ) THEN
-            CALL ZLAQR0( WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILO, IHI,
-     $                   Z, LDZ, WORK, LWORK, INFO )
-         ELSE
-*
-*           ==== Small matrix ====
-*
-            CALL ZLAHQR( WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILO, IHI,
-     $                   Z, LDZ, INFO )
-*
-            IF( INFO.GT.0 ) THEN
-*
-*              ==== A rare ZLAHQR failure!  ZLAQR0 sometimes succeeds
-*              .    when ZLAHQR fails. ====
-*
-               KBOT = INFO
-*
-               IF( N.GE.NL ) THEN
-*
-*                 ==== Larger matrices have enough subdiagonal scratch
-*                 .    space to call ZLAQR0 directly. ====
-*
-                  CALL ZLAQR0( WANTT, WANTZ, N, ILO, KBOT, H, LDH, W,
-     $                         ILO, IHI, Z, LDZ, WORK, LWORK, INFO )
-*
-               ELSE
-*
-*                 ==== Tiny matrices don't have enough subdiagonal
-*                 .    scratch space to benefit from ZLAQR0.  Hence,
-*                 .    tiny matrices must be copied into a larger
-*                 .    array before calling ZLAQR0. ====
-*
-                  CALL ZLACPY( 'A', N, N, H, LDH, HL, NL )
-                  HL( N+1, N ) = ZERO
-                  CALL ZLASET( 'A', NL, NL-N, ZERO, ZERO, HL( 1, N+1 ),
-     $                         NL )
-                  CALL ZLAQR0( WANTT, WANTZ, NL, ILO, KBOT, HL, NL, W,
-     $                         ILO, IHI, Z, LDZ, WORKL, NL, INFO )
-                  IF( WANTT .OR. INFO.NE.0 )
-     $               CALL ZLACPY( 'A', N, N, HL, NL, H, LDH )
-               END IF
-            END IF
-         END IF
-*
-*        ==== Clear out the trash, if necessary. ====
-*
-         IF( ( WANTT .OR. INFO.NE.0 ) .AND. N.GT.2 )
-     $      CALL ZLASET( 'L', N-2, N-2, ZERO, ZERO, H( 3, 1 ), LDH )
-*
-*        ==== Ensure reported workspace size is backward-compatible with
-*        .    previous LAPACK versions. ====
-*
-         WORK( 1 ) = DCMPLX( MAX( DBLE( MAX( 1, N ) ),
-     $               DBLE( WORK( 1 ) ) ), RZERO )
-      END IF
-*
-*     ==== End of ZHSEQR ====
-*
-      END