[] add metering mode to CLI

1 files changed, 543 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zgegs.c b/contrib/libs/clapack/zgegs.c
new file mode 100644
index 0000000000..027abc984a
--- /dev/null
+++ b/contrib/libs/clapack/zgegs.c
@@ -0,0 +1,543 @@
+/* zgegs.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 doublecomplex c_b1 = {0.,0.};
+static doublecomplex c_b2 = {1.,0.};
+static integer c__1 = 1;
+static integer c_n1 = -1;
+
+/* Subroutine */ int zgegs_(char *jobvsl, char *jobvsr, integer *n, 
+	doublecomplex *a, integer *lda, doublecomplex *b, integer *ldb, 
+	doublecomplex *alpha, doublecomplex *beta, doublecomplex *vsl, 
+	integer *ldvsl, doublecomplex *vsr, integer *ldvsr, doublecomplex *
+	work, integer *lwork, doublereal *rwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, vsl_dim1, vsl_offset, 
+	    vsr_dim1, vsr_offset, i__1, i__2, i__3;
+
+    /* Local variables */
+    integer nb, nb1, nb2, nb3, ihi, ilo;
+    doublereal eps, anrm, bnrm;
+    integer itau, lopt;
+    extern logical lsame_(char *, char *);
+    integer ileft, iinfo, icols;
+    logical ilvsl;
+    integer iwork;
+    logical ilvsr;
+    integer irows;
+    extern doublereal dlamch_(char *);
+    extern /* Subroutine */ int zggbak_(char *, char *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, integer *, doublecomplex *, 
+	     integer *, integer *), zggbal_(char *, integer *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, integer *
+, integer *, doublereal *, doublereal *, doublereal *, integer *);
+    logical ilascl, ilbscl;
+    doublereal safmin;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
+	    integer *, doublereal *);
+    doublereal bignum;
+    integer ijobvl, iright;
+    extern /* Subroutine */ int zgghrd_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, integer *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, integer *
+), zlascl_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *, doublecomplex *, 
+	     integer *, integer *);
+    integer ijobvr;
+    extern /* Subroutine */ int zgeqrf_(integer *, integer *, doublecomplex *, 
+	     integer *, doublecomplex *, doublecomplex *, integer *, integer *
+);
+    doublereal anrmto;
+    integer lwkmin;
+    doublereal bnrmto;
+    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *), 
+	    zlaset_(char *, integer *, integer *, doublecomplex *, 
+	    doublecomplex *, doublecomplex *, integer *), zhgeqz_(
+	    char *, char *, char *, integer *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublecomplex *, doublecomplex *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublereal *, integer *);
+    doublereal smlnum;
+    integer irwork, lwkopt;
+    logical lquery;
+    extern /* Subroutine */ int zungqr_(integer *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *, integer *), zunmqr_(char *, char *, integer *, integer 
+	    *, integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, 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 .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  This routine is deprecated and has been replaced by routine ZGGES. */
+
+/*  ZGEGS computes the eigenvalues, Schur form, and, optionally, the */
+/*  left and or/right Schur vectors of a complex matrix pair (A,B). */
+/*  Given two square matrices A and B, the generalized Schur */
+/*  factorization has the form */
+
+/*     A = Q*S*Z**H,  B = Q*T*Z**H */
+
+/*  where Q and Z are unitary matrices and S and T are upper triangular. */
+/*  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 */
+/*  ZGEGV should be used instead.  See ZGEGV 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) COMPLEX*16 array, dimension (LDA, N) */
+/*          On entry, the matrix A. */
+/*          On exit, the upper triangular matrix S from the generalized */
+/*          Schur factorization. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of A.  LDA >= max(1,N). */
+
+/*  B       (input/output) COMPLEX*16 array, dimension (LDB, N) */
+/*          On entry, the matrix B. */
+/*          On exit, the upper triangular matrix T from the generalized */
+/*          Schur factorization. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of B.  LDB >= max(1,N). */
+
+/*  ALPHA   (output) COMPLEX*16 array, dimension (N) */
+/*          The complex scalars alpha that define the eigenvalues of */
+/*          GNEP.  ALPHA(j) = S(j,j), the diagonal element of the Schur */
+/*          form of A. */
+
+/*  BETA    (output) COMPLEX*16 array, dimension (N) */
+/*          The non-negative real scalars beta that define the */
+/*          eigenvalues of GNEP.  BETA(j) = T(j,j), the diagonal element */
+/*          of the triangular factor T. */
+
+/*          Together, the quantities alpha = ALPHA(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) COMPLEX*16 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) COMPLEX*16 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) 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). */
+/*          For good performance, LWORK must generally be larger. */
+/*          To compute the optimal value of LWORK, call ILAENV to get */
+/*          blocksizes (for ZGEQRF, ZUNMQR, and CUNGQR.)  Then compute: */
+/*          NB  -- MAX of the blocksizes for ZGEQRF, ZUNMQR, and CUNGQR; */
+/*          the optimal LWORK is 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. */
+
+/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (3*N) */
+
+/*  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 ALPHA(j) and BETA(j) should be correct for */
+/*                j=INFO+1,...,N. */
+/*          > N:  errors that usually indicate LAPACK problems: */
+/*                =N+1: error return from ZGGBAL */
+/*                =N+2: error return from ZGEQRF */
+/*                =N+3: error return from ZUNMQR */
+/*                =N+4: error return from ZUNGQR */
+/*                =N+5: error return from ZGGHRD */
+/*                =N+6: error return from ZHGEQZ (other than failed */
+/*                                               iteration) */
+/*                =N+7: error return from ZGGBAK (computing VSL) */
+/*                =N+8: error return from ZGGBAK (computing VSR) */
+/*                =N+9: error return from ZLASCL (various places) */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Decode the input arguments */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    --alpha;
+    --beta;
+    vsl_dim1 = *ldvsl;
+    vsl_offset = 1 + vsl_dim1;
+    vsl -= vsl_offset;
+    vsr_dim1 = *ldvsr;
+    vsr_offset = 1 + vsr_dim1;
+    vsr -= vsr_offset;
+    --work;
+    --rwork;
+
+    /* Function Body */
+    if (lsame_(jobvsl, "N")) {
+	ijobvl = 1;
+	ilvsl = FALSE_;
+    } else if (lsame_(jobvsl, "V")) {
+	ijobvl = 2;
+	ilvsl = TRUE_;
+    } else {
+	ijobvl = -1;
+	ilvsl = FALSE_;
+    }
+
+    if (lsame_(jobvsr, "N")) {
+	ijobvr = 1;
+	ilvsr = FALSE_;
+    } else if (lsame_(jobvsr, "V")) {
+	ijobvr = 2;
+	ilvsr = TRUE_;
+    } else {
+	ijobvr = -1;
+	ilvsr = FALSE_;
+    }
+
+/*     Test the input arguments */
+
+/* Computing MAX */
+    i__1 = *n << 1;
+    lwkmin = max(i__1,1);
+    lwkopt = lwkmin;
+    work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+    lquery = *lwork == -1;
+    *info = 0;
+    if (ijobvl <= 0) {
+	*info = -1;
+    } else if (ijobvr <= 0) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*lda < max(1,*n)) {
+	*info = -5;
+    } else if (*ldb < max(1,*n)) {
+	*info = -7;
+    } else if (*ldvsl < 1 || ilvsl && *ldvsl < *n) {
+	*info = -11;
+    } else if (*ldvsr < 1 || ilvsr && *ldvsr < *n) {
+	*info = -13;
+    } else if (*lwork < lwkmin && ! lquery) {
+	*info = -15;
+    }
+
+    if (*info == 0) {
+	nb1 = ilaenv_(&c__1, "ZGEQRF", " ", n, n, &c_n1, &c_n1);
+	nb2 = ilaenv_(&c__1, "ZUNMQR", " ", n, n, n, &c_n1);
+	nb3 = ilaenv_(&c__1, "ZUNGQR", " ", n, n, n, &c_n1);
+/* Computing MAX */
+	i__1 = max(nb1,nb2);
+	nb = max(i__1,nb3);
+	lopt = *n * (nb + 1);
+	work[1].r = (doublereal) lopt, work[1].i = 0.;
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZGEGS ", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Get machine constants */
+
+    eps = dlamch_("E") * dlamch_("B");
+    safmin = dlamch_("S");
+    smlnum = *n * safmin / eps;
+    bignum = 1. / smlnum;
+
+/*     Scale A if max element outside range [SMLNUM,BIGNUM] */
+
+    anrm = zlange_("M", n, n, &a[a_offset], lda, &rwork[1]);
+    ilascl = FALSE_;
+    if (anrm > 0. && anrm < smlnum) {
+	anrmto = smlnum;
+	ilascl = TRUE_;
+    } else if (anrm > bignum) {
+	anrmto = bignum;
+	ilascl = TRUE_;
+    }
+
+    if (ilascl) {
+	zlascl_("G", &c_n1, &c_n1, &anrm, &anrmto, n, n, &a[a_offset], lda, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+    }
+
+/*     Scale B if max element outside range [SMLNUM,BIGNUM] */
+
+    bnrm = zlange_("M", n, n, &b[b_offset], ldb, &rwork[1]);
+    ilbscl = FALSE_;
+    if (bnrm > 0. && bnrm < smlnum) {
+	bnrmto = smlnum;
+	ilbscl = TRUE_;
+    } else if (bnrm > bignum) {
+	bnrmto = bignum;
+	ilbscl = TRUE_;
+    }
+
+    if (ilbscl) {
+	zlascl_("G", &c_n1, &c_n1, &bnrm, &bnrmto, n, n, &b[b_offset], ldb, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+    }
+
+/*     Permute the matrix to make it more nearly triangular */
+
+    ileft = 1;
+    iright = *n + 1;
+    irwork = iright + *n;
+    iwork = 1;
+    zggbal_("P", n, &a[a_offset], lda, &b[b_offset], ldb, &ilo, &ihi, &rwork[
+	    ileft], &rwork[iright], &rwork[irwork], &iinfo);
+    if (iinfo != 0) {
+	*info = *n + 1;
+	goto L10;
+    }
+
+/*     Reduce B to triangular form, and initialize VSL and/or VSR */
+
+    irows = ihi + 1 - ilo;
+    icols = *n + 1 - ilo;
+    itau = iwork;
+    iwork = itau + irows;
+    i__1 = *lwork + 1 - iwork;
+    zgeqrf_(&irows, &icols, &b[ilo + ilo * b_dim1], ldb, &work[itau], &work[
+	    iwork], &i__1, &iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	lwkopt = max(i__1,i__2);
+    }
+    if (iinfo != 0) {
+	*info = *n + 2;
+	goto L10;
+    }
+
+    i__1 = *lwork + 1 - iwork;
+    zunmqr_("L", "C", &irows, &icols, &irows, &b[ilo + ilo * b_dim1], ldb, &
+	    work[itau], &a[ilo + ilo * a_dim1], lda, &work[iwork], &i__1, &
+	    iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	lwkopt = max(i__1,i__2);
+    }
+    if (iinfo != 0) {
+	*info = *n + 3;
+	goto L10;
+    }
+
+    if (ilvsl) {
+	zlaset_("Full", n, n, &c_b1, &c_b2, &vsl[vsl_offset], ldvsl);
+	i__1 = irows - 1;
+	i__2 = irows - 1;
+	zlacpy_("L", &i__1, &i__2, &b[ilo + 1 + ilo * b_dim1], ldb, &vsl[ilo 
+		+ 1 + ilo * vsl_dim1], ldvsl);
+	i__1 = *lwork + 1 - iwork;
+	zungqr_(&irows, &irows, &irows, &vsl[ilo + ilo * vsl_dim1], ldvsl, &
+		work[itau], &work[iwork], &i__1, &iinfo);
+	if (iinfo >= 0) {
+/* Computing MAX */
+	    i__3 = iwork;
+	    i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	    lwkopt = max(i__1,i__2);
+	}
+	if (iinfo != 0) {
+	    *info = *n + 4;
+	    goto L10;
+	}
+    }
+
+    if (ilvsr) {
+	zlaset_("Full", n, n, &c_b1, &c_b2, &vsr[vsr_offset], ldvsr);
+    }
+
+/*     Reduce to generalized Hessenberg form */
+
+    zgghrd_(jobvsl, jobvsr, n, &ilo, &ihi, &a[a_offset], lda, &b[b_offset], 
+	    ldb, &vsl[vsl_offset], ldvsl, &vsr[vsr_offset], ldvsr, &iinfo);
+    if (iinfo != 0) {
+	*info = *n + 5;
+	goto L10;
+    }
+
+/*     Perform QZ algorithm, computing Schur vectors if desired */
+
+    iwork = itau;
+    i__1 = *lwork + 1 - iwork;
+    zhgeqz_("S", jobvsl, jobvsr, n, &ilo, &ihi, &a[a_offset], lda, &b[
+	    b_offset], ldb, &alpha[1], &beta[1], &vsl[vsl_offset], ldvsl, &
+	    vsr[vsr_offset], ldvsr, &work[iwork], &i__1, &rwork[irwork], &
+	    iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	lwkopt = max(i__1,i__2);
+    }
+    if (iinfo != 0) {
+	if (iinfo > 0 && iinfo <= *n) {
+	    *info = iinfo;
+	} else if (iinfo > *n && iinfo <= *n << 1) {
+	    *info = iinfo - *n;
+	} else {
+	    *info = *n + 6;
+	}
+	goto L10;
+    }
+
+/*     Apply permutation to VSL and VSR */
+
+    if (ilvsl) {
+	zggbak_("P", "L", n, &ilo, &ihi, &rwork[ileft], &rwork[iright], n, &
+		vsl[vsl_offset], ldvsl, &iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 7;
+	    goto L10;
+	}
+    }
+    if (ilvsr) {
+	zggbak_("P", "R", n, &ilo, &ihi, &rwork[ileft], &rwork[iright], n, &
+		vsr[vsr_offset], ldvsr, &iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 8;
+	    goto L10;
+	}
+    }
+
+/*     Undo scaling */
+
+    if (ilascl) {
+	zlascl_("U", &c_n1, &c_n1, &anrmto, &anrm, n, n, &a[a_offset], lda, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+	zlascl_("G", &c_n1, &c_n1, &anrmto, &anrm, n, &c__1, &alpha[1], n, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+    }
+
+    if (ilbscl) {
+	zlascl_("U", &c_n1, &c_n1, &bnrmto, &bnrm, n, n, &b[b_offset], ldb, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+	zlascl_("G", &c_n1, &c_n1, &bnrmto, &bnrm, n, &c__1, &beta[1], n, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 9;
+	    return 0;
+	}
+    }
+
+L10:
+    work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+
+    return 0;
+
+/*     End of ZGEGS */
+
+} /* zgegs_ */