Moving lapack to right place

1 files changed, 0 insertions, 438 deletions

diff --git a/src/lib/lapack/dgegs.f b/src/lib/lapack/dgegs.f
deleted file mode 100644
index 85c32531..00000000
--- a/src/lib/lapack/dgegs.f
+++ /dev/null
@@ -1,438 +0,0 @@
-      SUBROUTINE DGEGS( JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHAR,
-     $                  ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR, WORK,
-     $                  LWORK, INFO )
-*
-*  -- LAPACK driver routine (version 3.1) --
-*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-*     November 2006
-*
-*     .. Scalar Arguments ..
-      CHARACTER          JOBVSL, JOBVSR
-      INTEGER            INFO, LDA, LDB, LDVSL, LDVSR, LWORK, N
-*     ..
-*     .. Array Arguments ..
-      DOUBLE PRECISION   A( LDA, * ), ALPHAI( * ), ALPHAR( * ),
-     $                   B( LDB, * ), BETA( * ), VSL( LDVSL, * ),
-     $                   VSR( LDVSR, * ), WORK( * )
-*     ..
-*
-*  Purpose
-*  =======
-*
-*  This routine is deprecated and has been replaced by routine DGGES.
-*
-*  DGEGS computes the eigenvalues, real Schur form, and, optionally,
-*  left and or/right Schur vectors of a real matrix pair (A,B).
-*  Given two square matrices A and B, the generalized real Schur
-*  factorization has the form
-*
-*    A = Q*S*Z**T,  B = Q*T*Z**T
-*
-*  where Q and Z are orthogonal matrices, T is upper triangular, and S
-*  is an upper quasi-triangular matrix with 1-by-1 and 2-by-2 diagonal
-*  blocks, the 2-by-2 blocks corresponding to complex conjugate pairs
-*  of eigenvalues of (A,B).  The columns of Q are the left Schur vectors
-*  and the columns of Z are the right Schur vectors.
-*
-*  If only the eigenvalues of (A,B) are needed, the driver routine
-*  DGEGV should be used instead.  See DGEGV for a description of the
-*  eigenvalues of the generalized nonsymmetric eigenvalue problem
-*  (GNEP).
-*
-*  Arguments
-*  =========
-*
-*  JOBVSL  (input) CHARACTER*1
-*          = 'N':  do not compute the left Schur vectors;
-*          = 'V':  compute the left Schur vectors (returned in VSL).
-*
-*  JOBVSR  (input) CHARACTER*1
-*          = 'N':  do not compute the right Schur vectors;
-*          = 'V':  compute the right Schur vectors (returned in VSR).
-*
-*  N       (input) INTEGER
-*          The order of the matrices A, B, VSL, and VSR.  N >= 0.
-*
-*  A       (input/output) DOUBLE PRECISION array, dimension (LDA, N)
-*          On entry, the matrix A.
-*          On exit, the upper quasi-triangular matrix S from the
-*          generalized real Schur factorization.
-*
-*  LDA     (input) INTEGER
-*          The leading dimension of A.  LDA >= max(1,N).
-*
-*  B       (input/output) DOUBLE PRECISION array, dimension (LDB, N)
-*          On entry, the matrix B.
-*          On exit, the upper triangular matrix T from the generalized
-*          real Schur factorization.
-*
-*  LDB     (input) INTEGER
-*          The leading dimension of B.  LDB >= max(1,N).
-*
-*  ALPHAR  (output) DOUBLE PRECISION array, dimension (N)
-*          The real parts of each scalar alpha defining an eigenvalue
-*          of GNEP.
-*
-*  ALPHAI  (output) DOUBLE PRECISION array, dimension (N)
-*          The imaginary parts of each scalar alpha defining an
-*          eigenvalue of GNEP.  If ALPHAI(j) is zero, then the j-th
-*          eigenvalue is real; if positive, then the j-th and (j+1)-st
-*          eigenvalues are a complex conjugate pair, with
-*          ALPHAI(j+1) = -ALPHAI(j).
-*
-*  BETA    (output) DOUBLE PRECISION array, dimension (N)
-*          The scalars beta that define the eigenvalues of GNEP.
-*          Together, the quantities alpha = (ALPHAR(j),ALPHAI(j)) and
-*          beta = BETA(j) represent the j-th eigenvalue of the matrix
-*          pair (A,B), in one of the forms lambda = alpha/beta or
-*          mu = beta/alpha.  Since either lambda or mu may overflow,
-*          they should not, in general, be computed.
-*
-*  VSL     (output) DOUBLE PRECISION array, dimension (LDVSL,N)
-*          If JOBVSL = 'V', the matrix of left Schur vectors Q.
-*          Not referenced if JOBVSL = 'N'.
-*
-*  LDVSL   (input) INTEGER
-*          The leading dimension of the matrix VSL. LDVSL >=1, and
-*          if JOBVSL = 'V', LDVSL >= N.
-*
-*  VSR     (output) DOUBLE PRECISION array, dimension (LDVSR,N)
-*          If JOBVSR = 'V', the matrix of right Schur vectors Z.
-*          Not referenced if JOBVSR = 'N'.
-*
-*  LDVSR   (input) INTEGER
-*          The leading dimension of the matrix VSR. LDVSR >= 1, and
-*          if JOBVSR = 'V', LDVSR >= N.
-*
-*  WORK    (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK))
-*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
-*
-*  LWORK   (input) INTEGER
-*          The dimension of the array WORK.  LWORK >= max(1,4*N).
-*          For good performance, LWORK must generally be larger.
-*          To compute the optimal value of LWORK, call ILAENV to get
-*          blocksizes (for DGEQRF, DORMQR, and DORGQR.)  Then compute:
-*          NB  -- MAX of the blocksizes for DGEQRF, DORMQR, and DORGQR
-*          The optimal LWORK is  2*N + N*(NB+1).
-*
-*          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
-*          message related to LWORK is issued by XERBLA.
-*
-*  INFO    (output) INTEGER
-*          = 0:  successful exit
-*          < 0:  if INFO = -i, the i-th argument had an illegal value.
-*          = 1,...,N:
-*                The QZ iteration failed.  (A,B) are not in Schur
-*                form, but ALPHAR(j), ALPHAI(j), and BETA(j) should
-*                be correct for j=INFO+1,...,N.
-*          > N:  errors that usually indicate LAPACK problems:
-*                =N+1: error return from DGGBAL
-*                =N+2: error return from DGEQRF
-*                =N+3: error return from DORMQR
-*                =N+4: error return from DORGQR
-*                =N+5: error return from DGGHRD
-*                =N+6: error return from DHGEQZ (other than failed
-*                                                iteration)
-*                =N+7: error return from DGGBAK (computing VSL)
-*                =N+8: error return from DGGBAK (computing VSR)
-*                =N+9: error return from DLASCL (various places)
-*
-*  =====================================================================
-*
-*     .. Parameters ..
-      DOUBLE PRECISION   ZERO, ONE
-      PARAMETER          ( ZERO = 0.0D0, ONE = 1.0D0 )
-*     ..
-*     .. Local Scalars ..
-      LOGICAL            ILASCL, ILBSCL, ILVSL, ILVSR, LQUERY
-      INTEGER            ICOLS, IHI, IINFO, IJOBVL, IJOBVR, ILEFT, ILO,
-     $                   IRIGHT, IROWS, ITAU, IWORK, LOPT, LWKMIN,
-     $                   LWKOPT, NB, NB1, NB2, NB3
-      DOUBLE PRECISION   ANRM, ANRMTO, BIGNUM, BNRM, BNRMTO, EPS,
-     $                   SAFMIN, SMLNUM
-*     ..
-*     .. External Subroutines ..
-      EXTERNAL           DGEQRF, DGGBAK, DGGBAL, DGGHRD, DHGEQZ, DLACPY,
-     $                   DLASCL, DLASET, DORGQR, DORMQR, XERBLA
-*     ..
-*     .. External Functions ..
-      LOGICAL            LSAME
-      INTEGER            ILAENV
-      DOUBLE PRECISION   DLAMCH, DLANGE
-      EXTERNAL           LSAME, ILAENV, DLAMCH, DLANGE
-*     ..
-*     .. Intrinsic Functions ..
-      INTRINSIC          INT, MAX
-*     ..
-*     .. Executable Statements ..
-*
-*     Decode the input arguments
-*
-      IF( LSAME( JOBVSL, 'N' ) ) THEN
-         IJOBVL = 1
-         ILVSL = .FALSE.
-      ELSE IF( LSAME( JOBVSL, 'V' ) ) THEN
-         IJOBVL = 2
-         ILVSL = .TRUE.
-      ELSE
-         IJOBVL = -1
-         ILVSL = .FALSE.
-      END IF
-*
-      IF( LSAME( JOBVSR, 'N' ) ) THEN
-         IJOBVR = 1
-         ILVSR = .FALSE.
-      ELSE IF( LSAME( JOBVSR, 'V' ) ) THEN
-         IJOBVR = 2
-         ILVSR = .TRUE.
-      ELSE
-         IJOBVR = -1
-         ILVSR = .FALSE.
-      END IF
-*
-*     Test the input arguments
-*
-      LWKMIN = MAX( 4*N, 1 )
-      LWKOPT = LWKMIN
-      WORK( 1 ) = LWKOPT
-      LQUERY = ( LWORK.EQ.-1 )
-      INFO = 0
-      IF( IJOBVL.LE.0 ) THEN
-         INFO = -1
-      ELSE IF( IJOBVR.LE.0 ) THEN
-         INFO = -2
-      ELSE IF( N.LT.0 ) THEN
-         INFO = -3
-      ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
-         INFO = -5
-      ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
-         INFO = -7
-      ELSE IF( LDVSL.LT.1 .OR. ( ILVSL .AND. LDVSL.LT.N ) ) THEN
-         INFO = -12
-      ELSE IF( LDVSR.LT.1 .OR. ( ILVSR .AND. LDVSR.LT.N ) ) THEN
-         INFO = -14
-      ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
-         INFO = -16
-      END IF
-*
-      IF( INFO.EQ.0 ) THEN
-         NB1 = ILAENV( 1, 'DGEQRF', ' ', N, N, -1, -1 )
-         NB2 = ILAENV( 1, 'DORMQR', ' ', N, N, N, -1 )
-         NB3 = ILAENV( 1, 'DORGQR', ' ', N, N, N, -1 )
-         NB = MAX( NB1, NB2, NB3 )
-         LOPT = 2*N + N*( NB+1 )
-         WORK( 1 ) = LOPT
-      END IF
-*
-      IF( INFO.NE.0 ) THEN
-         CALL XERBLA( 'DGEGS ', -INFO )
-         RETURN
-      ELSE IF( LQUERY ) THEN
-         RETURN
-      END IF
-*
-*     Quick return if possible
-*
-      IF( N.EQ.0 )
-     $   RETURN
-*
-*     Get machine constants
-*
-      EPS = DLAMCH( 'E' )*DLAMCH( 'B' )
-      SAFMIN = DLAMCH( 'S' )
-      SMLNUM = N*SAFMIN / EPS
-      BIGNUM = ONE / SMLNUM
-*
-*     Scale A if max element outside range [SMLNUM,BIGNUM]
-*
-      ANRM = DLANGE( 'M', N, N, A, LDA, WORK )
-      ILASCL = .FALSE.
-      IF( ANRM.GT.ZERO .AND. ANRM.LT.SMLNUM ) THEN
-         ANRMTO = SMLNUM
-         ILASCL = .TRUE.
-      ELSE IF( ANRM.GT.BIGNUM ) THEN
-         ANRMTO = BIGNUM
-         ILASCL = .TRUE.
-      END IF
-*
-      IF( ILASCL ) THEN
-         CALL DLASCL( 'G', -1, -1, ANRM, ANRMTO, N, N, A, LDA, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-      END IF
-*
-*     Scale B if max element outside range [SMLNUM,BIGNUM]
-*
-      BNRM = DLANGE( 'M', N, N, B, LDB, WORK )
-      ILBSCL = .FALSE.
-      IF( BNRM.GT.ZERO .AND. BNRM.LT.SMLNUM ) THEN
-         BNRMTO = SMLNUM
-         ILBSCL = .TRUE.
-      ELSE IF( BNRM.GT.BIGNUM ) THEN
-         BNRMTO = BIGNUM
-         ILBSCL = .TRUE.
-      END IF
-*
-      IF( ILBSCL ) THEN
-         CALL DLASCL( 'G', -1, -1, BNRM, BNRMTO, N, N, B, LDB, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-      END IF
-*
-*     Permute the matrix to make it more nearly triangular
-*     Workspace layout:  (2*N words -- "work..." not actually used)
-*        left_permutation, right_permutation, work...
-*
-      ILEFT = 1
-      IRIGHT = N + 1
-      IWORK = IRIGHT + N
-      CALL DGGBAL( 'P', N, A, LDA, B, LDB, ILO, IHI, WORK( ILEFT ),
-     $             WORK( IRIGHT ), WORK( IWORK ), IINFO )
-      IF( IINFO.NE.0 ) THEN
-         INFO = N + 1
-         GO TO 10
-      END IF
-*
-*     Reduce B to triangular form, and initialize VSL and/or VSR
-*     Workspace layout:  ("work..." must have at least N words)
-*        left_permutation, right_permutation, tau, work...
-*
-      IROWS = IHI + 1 - ILO
-      ICOLS = N + 1 - ILO
-      ITAU = IWORK
-      IWORK = ITAU + IROWS
-      CALL DGEQRF( IROWS, ICOLS, B( ILO, ILO ), LDB, WORK( ITAU ),
-     $             WORK( IWORK ), LWORK+1-IWORK, IINFO )
-      IF( IINFO.GE.0 )
-     $   LWKOPT = MAX( LWKOPT, INT( WORK( IWORK ) )+IWORK-1 )
-      IF( IINFO.NE.0 ) THEN
-         INFO = N + 2
-         GO TO 10
-      END IF
-*
-      CALL DORMQR( 'L', 'T', IROWS, ICOLS, IROWS, B( ILO, ILO ), LDB,
-     $             WORK( ITAU ), A( ILO, ILO ), LDA, WORK( IWORK ),
-     $             LWORK+1-IWORK, IINFO )
-      IF( IINFO.GE.0 )
-     $   LWKOPT = MAX( LWKOPT, INT( WORK( IWORK ) )+IWORK-1 )
-      IF( IINFO.NE.0 ) THEN
-         INFO = N + 3
-         GO TO 10
-      END IF
-*
-      IF( ILVSL ) THEN
-         CALL DLASET( 'Full', N, N, ZERO, ONE, VSL, LDVSL )
-         CALL DLACPY( 'L', IROWS-1, IROWS-1, B( ILO+1, ILO ), LDB,
-     $                VSL( ILO+1, ILO ), LDVSL )
-         CALL DORGQR( IROWS, IROWS, IROWS, VSL( ILO, ILO ), LDVSL,
-     $                WORK( ITAU ), WORK( IWORK ), LWORK+1-IWORK,
-     $                IINFO )
-         IF( IINFO.GE.0 )
-     $      LWKOPT = MAX( LWKOPT, INT( WORK( IWORK ) )+IWORK-1 )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 4
-            GO TO 10
-         END IF
-      END IF
-*
-      IF( ILVSR )
-     $   CALL DLASET( 'Full', N, N, ZERO, ONE, VSR, LDVSR )
-*
-*     Reduce to generalized Hessenberg form
-*
-      CALL DGGHRD( JOBVSL, JOBVSR, N, ILO, IHI, A, LDA, B, LDB, VSL,
-     $             LDVSL, VSR, LDVSR, IINFO )
-      IF( IINFO.NE.0 ) THEN
-         INFO = N + 5
-         GO TO 10
-      END IF
-*
-*     Perform QZ algorithm, computing Schur vectors if desired
-*     Workspace layout:  ("work..." must have at least 1 word)
-*        left_permutation, right_permutation, work...
-*
-      IWORK = ITAU
-      CALL DHGEQZ( 'S', JOBVSL, JOBVSR, N, ILO, IHI, A, LDA, B, LDB,
-     $             ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR,
-     $             WORK( IWORK ), LWORK+1-IWORK, IINFO )
-      IF( IINFO.GE.0 )
-     $   LWKOPT = MAX( LWKOPT, INT( WORK( IWORK ) )+IWORK-1 )
-      IF( IINFO.NE.0 ) THEN
-         IF( IINFO.GT.0 .AND. IINFO.LE.N ) THEN
-            INFO = IINFO
-         ELSE IF( IINFO.GT.N .AND. IINFO.LE.2*N ) THEN
-            INFO = IINFO - N
-         ELSE
-            INFO = N + 6
-         END IF
-         GO TO 10
-      END IF
-*
-*     Apply permutation to VSL and VSR
-*
-      IF( ILVSL ) THEN
-         CALL DGGBAK( 'P', 'L', N, ILO, IHI, WORK( ILEFT ),
-     $                WORK( IRIGHT ), N, VSL, LDVSL, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 7
-            GO TO 10
-         END IF
-      END IF
-      IF( ILVSR ) THEN
-         CALL DGGBAK( 'P', 'R', N, ILO, IHI, WORK( ILEFT ),
-     $                WORK( IRIGHT ), N, VSR, LDVSR, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 8
-            GO TO 10
-         END IF
-      END IF
-*
-*     Undo scaling
-*
-      IF( ILASCL ) THEN
-         CALL DLASCL( 'H', -1, -1, ANRMTO, ANRM, N, N, A, LDA, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-         CALL DLASCL( 'G', -1, -1, ANRMTO, ANRM, N, 1, ALPHAR, N,
-     $                IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-         CALL DLASCL( 'G', -1, -1, ANRMTO, ANRM, N, 1, ALPHAI, N,
-     $                IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-      END IF
-*
-      IF( ILBSCL ) THEN
-         CALL DLASCL( 'U', -1, -1, BNRMTO, BNRM, N, N, B, LDB, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-         CALL DLASCL( 'G', -1, -1, BNRMTO, BNRM, N, 1, BETA, N, IINFO )
-         IF( IINFO.NE.0 ) THEN
-            INFO = N + 9
-            RETURN
-         END IF
-      END IF
-*
-   10 CONTINUE
-      WORK( 1 ) = LWKOPT
-*
-      RETURN
-*
-*     End of DGEGS
-*
-      END