[] add metering mode to CLI

1 files changed, 477 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zgeesx.c b/contrib/libs/clapack/zgeesx.c
new file mode 100644
index 0000000000..c04109e6d7
--- /dev/null
+++ b/contrib/libs/clapack/zgeesx.c
@@ -0,0 +1,477 @@
+/* zgeesx.f -- translated by f2c (version 20061008).
+   You must link the resulting object file with libf2c:
+	on Microsoft Windows system, link with libf2c.lib;
+	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
+	or, if you install libf2c.a in a standard place, with -lf2c -lm
+	-- in that order, at the end of the command line, as in
+		cc *.o -lf2c -lm
+	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
+
+		http://www.netlib.org/f2c/libf2c.zip
+*/
+
+#include "f2c.h"
+#include "blaswrap.h"
+
+/* Table of constant values */
+
+static integer c__1 = 1;
+static integer c__0 = 0;
+static integer c_n1 = -1;
+
+/* Subroutine */ int zgeesx_(char *jobvs, char *sort, L_fp select, char *
+	sense, integer *n, doublecomplex *a, integer *lda, integer *sdim, 
+	doublecomplex *w, doublecomplex *vs, integer *ldvs, doublereal *
+	rconde, doublereal *rcondv, doublecomplex *work, integer *lwork, 
+	doublereal *rwork, logical *bwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, vs_dim1, vs_offset, i__1, i__2;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    integer i__, ihi, ilo;
+    doublereal dum[1], eps;
+    integer ibal;
+    doublereal anrm;
+    integer ierr, itau, iwrk, lwrk, icond, ieval;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *), dlabad_(doublereal *, doublereal *);
+    logical scalea;
+    extern doublereal dlamch_(char *);
+    doublereal cscale;
+    extern /* Subroutine */ int dlascl_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *, doublereal *, 
+	    integer *, integer *), zgebak_(char *, char *, integer *, 
+	    integer *, integer *, doublereal *, integer *, doublecomplex *, 
+	    integer *, integer *), zgebal_(char *, integer *, 
+	    doublecomplex *, integer *, integer *, integer *, doublereal *, 
+	    integer *), xerbla_(char *, integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
+	    integer *, doublereal *);
+    doublereal bignum;
+    extern /* Subroutine */ int zgehrd_(integer *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *, integer *), zlascl_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *, doublecomplex *, 
+	     integer *, integer *);
+    logical wantsb, wantse;
+    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *);
+    integer minwrk, maxwrk;
+    logical wantsn;
+    doublereal smlnum;
+    extern /* Subroutine */ int zhseqr_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, integer *);
+    integer hswork;
+    extern /* Subroutine */ int zunghr_(integer *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *, integer *);
+    logical wantst, wantsv, wantvs;
+    extern /* Subroutine */ int ztrsen_(char *, char *, logical *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *, doublereal *, doublereal *, 
+	    doublecomplex *, integer *, integer *);
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+/*     .. Function Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZGEESX computes for an N-by-N complex nonsymmetric matrix A, the */
+/*  eigenvalues, the Schur form T, and, optionally, the matrix of Schur */
+/*  vectors Z.  This gives the Schur factorization A = Z*T*(Z**H). */
+
+/*  Optionally, it also orders the eigenvalues on the diagonal of the */
+/*  Schur form so that selected eigenvalues are at the top left; */
+/*  computes a reciprocal condition number for the average of the */
+/*  selected eigenvalues (RCONDE); and computes a reciprocal condition */
+/*  number for the right invariant subspace corresponding to the */
+/*  selected eigenvalues (RCONDV).  The leading columns of Z form an */
+/*  orthonormal basis for this invariant subspace. */
+
+/*  For further explanation of the reciprocal condition numbers RCONDE */
+/*  and RCONDV, see Section 4.10 of the LAPACK Users' Guide (where */
+/*  these quantities are called s and sep respectively). */
+
+/*  A complex matrix is in Schur form if it is upper triangular. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  JOBVS   (input) CHARACTER*1 */
+/*          = 'N': Schur vectors are not computed; */
+/*          = 'V': Schur vectors are computed. */
+
+/*  SORT    (input) CHARACTER*1 */
+/*          Specifies whether or not to order the eigenvalues on the */
+/*          diagonal of the Schur form. */
+/*          = 'N': Eigenvalues are not ordered; */
+/*          = 'S': Eigenvalues are ordered (see SELECT). */
+
+/*  SELECT  (external procedure) LOGICAL FUNCTION of one COMPLEX*16 argument */
+/*          SELECT must be declared EXTERNAL in the calling subroutine. */
+/*          If SORT = 'S', SELECT is used to select eigenvalues to order */
+/*          to the top left of the Schur form. */
+/*          If SORT = 'N', SELECT is not referenced. */
+/*          An eigenvalue W(j) is selected if SELECT(W(j)) is true. */
+
+/*  SENSE   (input) CHARACTER*1 */
+/*          Determines which reciprocal condition numbers are computed. */
+/*          = 'N': None are computed; */
+/*          = 'E': Computed for average of selected eigenvalues only; */
+/*          = 'V': Computed for selected right invariant subspace only; */
+/*          = 'B': Computed for both. */
+/*          If SENSE = 'E', 'V' or 'B', SORT must equal 'S'. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A. N >= 0. */
+
+/*  A       (input/output) COMPLEX*16 array, dimension (LDA, N) */
+/*          On entry, the N-by-N matrix A. */
+/*          On exit, A is overwritten by its Schur form T. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  SDIM    (output) INTEGER */
+/*          If SORT = 'N', SDIM = 0. */
+/*          If SORT = 'S', SDIM = number of eigenvalues for which */
+/*                         SELECT is true. */
+
+/*  W       (output) COMPLEX*16 array, dimension (N) */
+/*          W contains the computed eigenvalues, in the same order */
+/*          that they appear on the diagonal of the output Schur form T. */
+
+/*  VS      (output) COMPLEX*16 array, dimension (LDVS,N) */
+/*          If JOBVS = 'V', VS contains the unitary matrix Z of Schur */
+/*          vectors. */
+/*          If JOBVS = 'N', VS is not referenced. */
+
+/*  LDVS    (input) INTEGER */
+/*          The leading dimension of the array VS.  LDVS >= 1, and if */
+/*          JOBVS = 'V', LDVS >= N. */
+
+/*  RCONDE  (output) DOUBLE PRECISION */
+/*          If SENSE = 'E' or 'B', RCONDE contains the reciprocal */
+/*          condition number for the average of the selected eigenvalues. */
+/*          Not referenced if SENSE = 'N' or 'V'. */
+
+/*  RCONDV  (output) DOUBLE PRECISION */
+/*          If SENSE = 'V' or 'B', RCONDV contains the reciprocal */
+/*          condition number for the selected right invariant subspace. */
+/*          Not referenced if SENSE = 'N' or 'E'. */
+
+/*  WORK    (workspace/output) COMPLEX*16 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(1,2*N). */
+/*          Also, if SENSE = 'E' or 'V' or 'B', LWORK >= 2*SDIM*(N-SDIM), */
+/*          where SDIM is the number of selected eigenvalues computed by */
+/*          this routine.  Note that 2*SDIM*(N-SDIM) <= N*N/2. Note also */
+/*          that an error is only returned if LWORK < max(1,2*N), but if */
+/*          SENSE = 'E' or 'V' or 'B' this may not be large enough. */
+/*          For good performance, LWORK must generally be larger. */
+
+/*          If LWORK = -1, then a workspace query is assumed; the routine */
+/*          only calculates upper bound on the optimal size of the */
+/*          array WORK, returns this value as the first entry of the WORK */
+/*          array, and no error message related to LWORK is issued by */
+/*          XERBLA. */
+
+/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (N) */
+
+/*  BWORK   (workspace) LOGICAL array, dimension (N) */
+/*          Not referenced if SORT = 'N'. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0: successful exit */
+/*          < 0: if INFO = -i, the i-th argument had an illegal value. */
+/*          > 0: if INFO = i, and i is */
+/*             <= N: the QR algorithm failed to compute all the */
+/*                   eigenvalues; elements 1:ILO-1 and i+1:N of W */
+/*                   contain those eigenvalues which have converged; if */
+/*                   JOBVS = 'V', VS contains the transformation which */
+/*                   reduces A to its partially converged Schur form. */
+/*             = N+1: the eigenvalues could not be reordered because some */
+/*                   eigenvalues were too close to separate (the problem */
+/*                   is very ill-conditioned); */
+/*             = N+2: after reordering, roundoff changed values of some */
+/*                   complex eigenvalues so that leading eigenvalues in */
+/*                   the Schur form no longer satisfy SELECT=.TRUE.  This */
+/*                   could also be caused by underflow due to scaling. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Local Arrays .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input arguments */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --w;
+    vs_dim1 = *ldvs;
+    vs_offset = 1 + vs_dim1;
+    vs -= vs_offset;
+    --work;
+    --rwork;
+    --bwork;
+
+    /* Function Body */
+    *info = 0;
+    wantvs = lsame_(jobvs, "V");
+    wantst = lsame_(sort, "S");
+    wantsn = lsame_(sense, "N");
+    wantse = lsame_(sense, "E");
+    wantsv = lsame_(sense, "V");
+    wantsb = lsame_(sense, "B");
+    if (! wantvs && ! lsame_(jobvs, "N")) {
+	*info = -1;
+    } else if (! wantst && ! lsame_(sort, "N")) {
+	*info = -2;
+    } else if (! (wantsn || wantse || wantsv || wantsb) || ! wantst && ! 
+	    wantsn) {
+	*info = -4;
+    } else if (*n < 0) {
+	*info = -5;
+    } else if (*lda < max(1,*n)) {
+	*info = -7;
+    } else if (*ldvs < 1 || wantvs && *ldvs < *n) {
+	*info = -11;
+    }
+
+/*     Compute workspace */
+/*      (Note: Comments in the code beginning "Workspace:" describe the */
+/*       minimal amount of real workspace needed at that point in the */
+/*       code, as well as the preferred amount for good performance. */
+/*       CWorkspace refers to complex workspace, and RWorkspace to real */
+/*       workspace. NB refers to the optimal block size for the */
+/*       immediately following subroutine, as returned by ILAENV. */
+/*       HSWORK refers to the workspace preferred by ZHSEQR, as */
+/*       calculated below. HSWORK is computed assuming ILO=1 and IHI=N, */
+/*       the worst case. */
+/*       If SENSE = 'E', 'V' or 'B', then the amount of workspace needed */
+/*       depends on SDIM, which is computed by the routine ZTRSEN later */
+/*       in the code.) */
+
+    if (*info == 0) {
+	if (*n == 0) {
+	    minwrk = 1;
+	    lwrk = 1;
+	} else {
+	    maxwrk = *n + *n * ilaenv_(&c__1, "ZGEHRD", " ", n, &c__1, n, &
+		    c__0);
+	    minwrk = *n << 1;
+
+	    zhseqr_("S", jobvs, n, &c__1, n, &a[a_offset], lda, &w[1], &vs[
+		    vs_offset], ldvs, &work[1], &c_n1, &ieval);
+	    hswork = (integer) work[1].r;
+
+	    if (! wantvs) {
+		maxwrk = max(maxwrk,hswork);
+	    } else {
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = *n + (*n - 1) * ilaenv_(&c__1, "ZUNGHR", 
+			 " ", n, &c__1, n, &c_n1);
+		maxwrk = max(i__1,i__2);
+		maxwrk = max(maxwrk,hswork);
+	    }
+	    lwrk = maxwrk;
+	    if (! wantsn) {
+/* Computing MAX */
+		i__1 = lwrk, i__2 = *n * *n / 2;
+		lwrk = max(i__1,i__2);
+	    }
+	}
+	work[1].r = (doublereal) lwrk, work[1].i = 0.;
+
+	if (*lwork < minwrk) {
+	    *info = -15;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZGEESX", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	*sdim = 0;
+	return 0;
+    }
+
+/*     Get machine constants */
+
+    eps = dlamch_("P");
+    smlnum = dlamch_("S");
+    bignum = 1. / smlnum;
+    dlabad_(&smlnum, &bignum);
+    smlnum = sqrt(smlnum) / eps;
+    bignum = 1. / smlnum;
+
+/*     Scale A if max element outside range [SMLNUM,BIGNUM] */
+
+    anrm = zlange_("M", n, n, &a[a_offset], lda, dum);
+    scalea = FALSE_;
+    if (anrm > 0. && anrm < smlnum) {
+	scalea = TRUE_;
+	cscale = smlnum;
+    } else if (anrm > bignum) {
+	scalea = TRUE_;
+	cscale = bignum;
+    }
+    if (scalea) {
+	zlascl_("G", &c__0, &c__0, &anrm, &cscale, n, n, &a[a_offset], lda, &
+		ierr);
+    }
+
+
+/*     Permute the matrix to make it more nearly triangular */
+/*     (CWorkspace: none) */
+/*     (RWorkspace: need N) */
+
+    ibal = 1;
+    zgebal_("P", n, &a[a_offset], lda, &ilo, &ihi, &rwork[ibal], &ierr);
+
+/*     Reduce to upper Hessenberg form */
+/*     (CWorkspace: need 2*N, prefer N+N*NB) */
+/*     (RWorkspace: none) */
+
+    itau = 1;
+    iwrk = *n + itau;
+    i__1 = *lwork - iwrk + 1;
+    zgehrd_(n, &ilo, &ihi, &a[a_offset], lda, &work[itau], &work[iwrk], &i__1, 
+	     &ierr);
+
+    if (wantvs) {
+
+/*        Copy Householder vectors to VS */
+
+	zlacpy_("L", n, n, &a[a_offset], lda, &vs[vs_offset], ldvs)
+		;
+
+/*        Generate unitary matrix in VS */
+/*        (CWorkspace: need 2*N-1, prefer N+(N-1)*NB) */
+/*        (RWorkspace: none) */
+
+	i__1 = *lwork - iwrk + 1;
+	zunghr_(n, &ilo, &ihi, &vs[vs_offset], ldvs, &work[itau], &work[iwrk], 
+		 &i__1, &ierr);
+    }
+
+    *sdim = 0;
+
+/*     Perform QR iteration, accumulating Schur vectors in VS if desired */
+/*     (CWorkspace: need 1, prefer HSWORK (see comments) ) */
+/*     (RWorkspace: none) */
+
+    iwrk = itau;
+    i__1 = *lwork - iwrk + 1;
+    zhseqr_("S", jobvs, n, &ilo, &ihi, &a[a_offset], lda, &w[1], &vs[
+	    vs_offset], ldvs, &work[iwrk], &i__1, &ieval);
+    if (ieval > 0) {
+	*info = ieval;
+    }
+
+/*     Sort eigenvalues if desired */
+
+    if (wantst && *info == 0) {
+	if (scalea) {
+	    zlascl_("G", &c__0, &c__0, &cscale, &anrm, n, &c__1, &w[1], n, &
+		    ierr);
+	}
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    bwork[i__] = (*select)(&w[i__]);
+/* L10: */
+	}
+
+/*        Reorder eigenvalues, transform Schur vectors, and compute */
+/*        reciprocal condition numbers */
+/*        (CWorkspace: if SENSE is not 'N', need 2*SDIM*(N-SDIM) */
+/*                     otherwise, need none ) */
+/*        (RWorkspace: none) */
+
+	i__1 = *lwork - iwrk + 1;
+	ztrsen_(sense, jobvs, &bwork[1], n, &a[a_offset], lda, &vs[vs_offset], 
+		 ldvs, &w[1], sdim, rconde, rcondv, &work[iwrk], &i__1, &
+		icond);
+	if (! wantsn) {
+/* Computing MAX */
+	    i__1 = maxwrk, i__2 = (*sdim << 1) * (*n - *sdim);
+	    maxwrk = max(i__1,i__2);
+	}
+	if (icond == -14) {
+
+/*           Not enough complex workspace */
+
+	    *info = -15;
+	}
+    }
+
+    if (wantvs) {
+
+/*        Undo balancing */
+/*        (CWorkspace: none) */
+/*        (RWorkspace: need N) */
+
+	zgebak_("P", "R", n, &ilo, &ihi, &rwork[ibal], n, &vs[vs_offset], 
+		ldvs, &ierr);
+    }
+
+    if (scalea) {
+
+/*        Undo scaling for the Schur form of A */
+
+	zlascl_("U", &c__0, &c__0, &cscale, &anrm, n, n, &a[a_offset], lda, &
+		ierr);
+	i__1 = *lda + 1;
+	zcopy_(n, &a[a_offset], &i__1, &w[1], &c__1);
+	if ((wantsv || wantsb) && *info == 0) {
+	    dum[0] = *rcondv;
+	    dlascl_("G", &c__0, &c__0, &cscale, &anrm, &c__1, &c__1, dum, &
+		    c__1, &ierr);
+	    *rcondv = dum[0];
+	}
+    }
+
+    work[1].r = (doublereal) maxwrk, work[1].i = 0.;
+    return 0;
+
+/*     End of ZGEESX */
+
+} /* zgeesx_ */