[] add metering mode to CLI

1 files changed, 377 insertions, 0 deletions

diff --git a/contrib/libs/clapack/cheevd.c b/contrib/libs/clapack/cheevd.c
new file mode 100644
index 0000000000..0cade89b4e
--- /dev/null
+++ b/contrib/libs/clapack/cheevd.c
@@ -0,0 +1,377 @@
+/* cheevd.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_n1 = -1;
+static integer c__0 = 0;
+static real c_b18 = 1.f;
+
+/* Subroutine */ int cheevd_(char *jobz, char *uplo, integer *n, complex *a, 
+	integer *lda, real *w, complex *work, integer *lwork, real *rwork, 
+	integer *lrwork, integer *iwork, integer *liwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2;
+    real r__1;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    real eps;
+    integer inde;
+    real anrm;
+    integer imax;
+    real rmin, rmax;
+    integer lopt;
+    real sigma;
+    extern logical lsame_(char *, char *);
+    integer iinfo;
+    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
+    integer lwmin, liopt;
+    logical lower;
+    integer llrwk, lropt;
+    logical wantz;
+    integer indwk2, llwrk2;
+    extern doublereal clanhe_(char *, char *, integer *, complex *, integer *, 
+	     real *);
+    integer iscale;
+    extern /* Subroutine */ int clascl_(char *, integer *, integer *, real *, 
+	    real *, integer *, integer *, complex *, integer *, integer *), cstedc_(char *, integer *, real *, real *, complex *, 
+	    integer *, complex *, integer *, real *, integer *, integer *, 
+	    integer *, integer *);
+    extern doublereal slamch_(char *);
+    extern /* Subroutine */ int chetrd_(char *, integer *, complex *, integer 
+	    *, real *, real *, complex *, complex *, integer *, integer *), clacpy_(char *, integer *, integer *, complex *, integer 
+	    *, complex *, integer *);
+    real safmin;
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    real bignum;
+    integer indtau, indrwk, indwrk, liwmin;
+    extern /* Subroutine */ int ssterf_(integer *, real *, real *, integer *);
+    integer lrwmin;
+    extern /* Subroutine */ int cunmtr_(char *, char *, char *, integer *, 
+	    integer *, complex *, integer *, complex *, complex *, integer *, 
+	    complex *, integer *, integer *);
+    integer llwork;
+    real smlnum;
+    logical lquery;
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CHEEVD computes all eigenvalues and, optionally, eigenvectors of a */
+/*  complex Hermitian matrix A.  If eigenvectors are desired, it uses a */
+/*  divide and conquer algorithm. */
+
+/*  The divide and conquer algorithm makes very mild assumptions about */
+/*  floating point arithmetic. It will work on machines with a guard */
+/*  digit in add/subtract, or on those binary machines without guard */
+/*  digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or */
+/*  Cray-2. It could conceivably fail on hexadecimal or decimal machines */
+/*  without guard digits, but we know of none. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  JOBZ    (input) CHARACTER*1 */
+/*          = 'N':  Compute eigenvalues only; */
+/*          = 'V':  Compute eigenvalues and eigenvectors. */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          = 'U':  Upper triangle of A is stored; */
+/*          = 'L':  Lower triangle of A is stored. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input/output) COMPLEX array, dimension (LDA, N) */
+/*          On entry, the Hermitian matrix A.  If UPLO = 'U', the */
+/*          leading N-by-N upper triangular part of A contains the */
+/*          upper triangular part of the matrix A.  If UPLO = 'L', */
+/*          the leading N-by-N lower triangular part of A contains */
+/*          the lower triangular part of the matrix A. */
+/*          On exit, if JOBZ = 'V', then if INFO = 0, A contains the */
+/*          orthonormal eigenvectors of the matrix A. */
+/*          If JOBZ = 'N', then on exit the lower triangle (if UPLO='L') */
+/*          or the upper triangle (if UPLO='U') of A, including the */
+/*          diagonal, is destroyed. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  W       (output) REAL array, dimension (N) */
+/*          If INFO = 0, the eigenvalues in ascending order. */
+
+/*  WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/*  LWORK   (input) INTEGER */
+/*          The length of the array WORK. */
+/*          If N <= 1,                LWORK must be at least 1. */
+/*          If JOBZ  = 'N' and N > 1, LWORK must be at least N + 1. */
+/*          If JOBZ  = 'V' and N > 1, LWORK must be at least 2*N + N**2. */
+
+/*          If LWORK = -1, then a workspace query is assumed; the routine */
+/*          only calculates the optimal sizes of the WORK, RWORK and */
+/*          IWORK arrays, returns these values as the first entries of */
+/*          the WORK, RWORK and IWORK arrays, and no error message */
+/*          related to LWORK or LRWORK or LIWORK is issued by XERBLA. */
+
+/*  RWORK   (workspace/output) REAL array, */
+/*                                         dimension (LRWORK) */
+/*          On exit, if INFO = 0, RWORK(1) returns the optimal LRWORK. */
+
+/*  LRWORK  (input) INTEGER */
+/*          The dimension of the array RWORK. */
+/*          If N <= 1,                LRWORK must be at least 1. */
+/*          If JOBZ  = 'N' and N > 1, LRWORK must be at least N. */
+/*          If JOBZ  = 'V' and N > 1, LRWORK must be at least */
+/*                         1 + 5*N + 2*N**2. */
+
+/*          If LRWORK = -1, then a workspace query is assumed; the */
+/*          routine only calculates the optimal sizes of the WORK, RWORK */
+/*          and IWORK arrays, returns these values as the first entries */
+/*          of the WORK, RWORK and IWORK arrays, and no error message */
+/*          related to LWORK or LRWORK or LIWORK is issued by XERBLA. */
+
+/*  IWORK   (workspace/output) INTEGER array, dimension (MAX(1,LIWORK)) */
+/*          On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK. */
+
+/*  LIWORK  (input) INTEGER */
+/*          The dimension of the array IWORK. */
+/*          If N <= 1,                LIWORK must be at least 1. */
+/*          If JOBZ  = 'N' and N > 1, LIWORK must be at least 1. */
+/*          If JOBZ  = 'V' and N > 1, LIWORK must be at least 3 + 5*N. */
+
+/*          If LIWORK = -1, then a workspace query is assumed; the */
+/*          routine only calculates the optimal sizes of the WORK, RWORK */
+/*          and IWORK arrays, returns these values as the first entries */
+/*          of the WORK, RWORK and IWORK arrays, and no error message */
+/*          related to LWORK or LRWORK or LIWORK is issued by XERBLA. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+/*          > 0:  if INFO = i and JOBZ = 'N', then the algorithm failed */
+/*                to converge; i off-diagonal elements of an intermediate */
+/*                tridiagonal form did not converge to zero; */
+/*                if INFO = i and JOBZ = 'V', then the algorithm failed */
+/*                to compute an eigenvalue while working on the submatrix */
+/*                lying in rows and columns INFO/(N+1) through */
+/*                mod(INFO,N+1). */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Jeff Rutter, Computer Science Division, University of California */
+/*     at Berkeley, USA */
+
+/*  Modified description of INFO. Sven, 16 Feb 05. */
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --w;
+    --work;
+    --rwork;
+    --iwork;
+
+    /* Function Body */
+    wantz = lsame_(jobz, "V");
+    lower = lsame_(uplo, "L");
+    lquery = *lwork == -1 || *lrwork == -1 || *liwork == -1;
+
+    *info = 0;
+    if (! (wantz || lsame_(jobz, "N"))) {
+	*info = -1;
+    } else if (! (lower || lsame_(uplo, "U"))) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*lda < max(1,*n)) {
+	*info = -5;
+    }
+
+    if (*info == 0) {
+	if (*n <= 1) {
+	    lwmin = 1;
+	    lrwmin = 1;
+	    liwmin = 1;
+	    lopt = lwmin;
+	    lropt = lrwmin;
+	    liopt = liwmin;
+	} else {
+	    if (wantz) {
+		lwmin = (*n << 1) + *n * *n;
+/* Computing 2nd power */
+		i__1 = *n;
+		lrwmin = *n * 5 + 1 + (i__1 * i__1 << 1);
+		liwmin = *n * 5 + 3;
+	    } else {
+		lwmin = *n + 1;
+		lrwmin = *n;
+		liwmin = 1;
+	    }
+/* Computing MAX */
+	    i__1 = lwmin, i__2 = *n + ilaenv_(&c__1, "CHETRD", uplo, n, &c_n1, 
+		     &c_n1, &c_n1);
+	    lopt = max(i__1,i__2);
+	    lropt = lrwmin;
+	    liopt = liwmin;
+	}
+	work[1].r = (real) lopt, work[1].i = 0.f;
+	rwork[1] = (real) lropt;
+	iwork[1] = liopt;
+
+	if (*lwork < lwmin && ! lquery) {
+	    *info = -8;
+	} else if (*lrwork < lrwmin && ! lquery) {
+	    *info = -10;
+	} else if (*liwork < liwmin && ! lquery) {
+	    *info = -12;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CHEEVD", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+    if (*n == 1) {
+	i__1 = a_dim1 + 1;
+	w[1] = a[i__1].r;
+	if (wantz) {
+	    i__1 = a_dim1 + 1;
+	    a[i__1].r = 1.f, a[i__1].i = 0.f;
+	}
+	return 0;
+    }
+
+/*     Get machine constants. */
+
+    safmin = slamch_("Safe minimum");
+    eps = slamch_("Precision");
+    smlnum = safmin / eps;
+    bignum = 1.f / smlnum;
+    rmin = sqrt(smlnum);
+    rmax = sqrt(bignum);
+
+/*     Scale matrix to allowable range, if necessary. */
+
+    anrm = clanhe_("M", uplo, n, &a[a_offset], lda, &rwork[1]);
+    iscale = 0;
+    if (anrm > 0.f && anrm < rmin) {
+	iscale = 1;
+	sigma = rmin / anrm;
+    } else if (anrm > rmax) {
+	iscale = 1;
+	sigma = rmax / anrm;
+    }
+    if (iscale == 1) {
+	clascl_(uplo, &c__0, &c__0, &c_b18, &sigma, n, n, &a[a_offset], lda, 
+		info);
+    }
+
+/*     Call CHETRD to reduce Hermitian matrix to tridiagonal form. */
+
+    inde = 1;
+    indtau = 1;
+    indwrk = indtau + *n;
+    indrwk = inde + *n;
+    indwk2 = indwrk + *n * *n;
+    llwork = *lwork - indwrk + 1;
+    llwrk2 = *lwork - indwk2 + 1;
+    llrwk = *lrwork - indrwk + 1;
+    chetrd_(uplo, n, &a[a_offset], lda, &w[1], &rwork[inde], &work[indtau], &
+	    work[indwrk], &llwork, &iinfo);
+
+/*     For eigenvalues only, call SSTERF.  For eigenvectors, first call */
+/*     CSTEDC to generate the eigenvector matrix, WORK(INDWRK), of the */
+/*     tridiagonal matrix, then call CUNMTR to multiply it to the */
+/*     Householder transformations represented as Householder vectors in */
+/*     A. */
+
+    if (! wantz) {
+	ssterf_(n, &w[1], &rwork[inde], info);
+    } else {
+	cstedc_("I", n, &w[1], &rwork[inde], &work[indwrk], n, &work[indwk2], 
+		&llwrk2, &rwork[indrwk], &llrwk, &iwork[1], liwork, info);
+	cunmtr_("L", uplo, "N", n, n, &a[a_offset], lda, &work[indtau], &work[
+		indwrk], n, &work[indwk2], &llwrk2, &iinfo);
+	clacpy_("A", n, n, &work[indwrk], n, &a[a_offset], lda);
+    }
+
+/*     If matrix was scaled, then rescale eigenvalues appropriately. */
+
+    if (iscale == 1) {
+	if (*info == 0) {
+	    imax = *n;
+	} else {
+	    imax = *info - 1;
+	}
+	r__1 = 1.f / sigma;
+	sscal_(&imax, &r__1, &w[1], &c__1);
+    }
+
+    work[1].r = (real) lopt, work[1].i = 0.f;
+    rwork[1] = (real) lropt;
+    iwork[1] = liopt;
+
+    return 0;
+
+/*     End of CHEEVD */
+
+} /* cheevd_ */