[] add metering mode to CLI

1 files changed, 427 insertions, 0 deletions

diff --git a/contrib/libs/clapack/sstevx.c b/contrib/libs/clapack/sstevx.c
new file mode 100644
index 0000000000..5c3df453ca
--- /dev/null
+++ b/contrib/libs/clapack/sstevx.c
@@ -0,0 +1,427 @@
+/* sstevx.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;
+
+/* Subroutine */ int sstevx_(char *jobz, char *range, integer *n, real *d__, 
+	real *e, real *vl, real *vu, integer *il, integer *iu, real *abstol, 
+	integer *m, real *w, real *z__, integer *ldz, real *work, integer *
+	iwork, integer *ifail, integer *info)
+{
+    /* System generated locals */
+    integer z_dim1, z_offset, i__1, i__2;
+    real r__1, r__2;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    integer i__, j, jj;
+    real eps, vll, vuu, tmp1;
+    integer imax;
+    real rmin, rmax;
+    logical test;
+    real tnrm;
+    integer itmp1;
+    real sigma;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
+    char order[1];
+    extern /* Subroutine */ int scopy_(integer *, real *, integer *, real *, 
+	    integer *), sswap_(integer *, real *, integer *, real *, integer *
+);
+    logical wantz, alleig, indeig;
+    integer iscale, indibl;
+    logical valeig;
+    extern doublereal slamch_(char *);
+    real safmin;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    real bignum;
+    integer indisp, indiwo, indwrk;
+    extern doublereal slanst_(char *, integer *, real *, real *);
+    extern /* Subroutine */ int sstein_(integer *, real *, real *, integer *, 
+	    real *, integer *, integer *, real *, integer *, real *, integer *
+, integer *, integer *), ssterf_(integer *, real *, real *, 
+	    integer *);
+    integer nsplit;
+    extern /* Subroutine */ int sstebz_(char *, char *, integer *, real *, 
+	    real *, integer *, integer *, real *, real *, real *, integer *, 
+	    integer *, real *, integer *, integer *, real *, integer *, 
+	    integer *);
+    real smlnum;
+    extern /* Subroutine */ int ssteqr_(char *, integer *, real *, real *, 
+	    real *, integer *, real *, integer *);
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  SSTEVX computes selected eigenvalues and, optionally, eigenvectors */
+/*  of a real symmetric tridiagonal matrix A.  Eigenvalues and */
+/*  eigenvectors can be selected by specifying either a range of values */
+/*  or a range of indices for the desired eigenvalues. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  JOBZ    (input) CHARACTER*1 */
+/*          = 'N':  Compute eigenvalues only; */
+/*          = 'V':  Compute eigenvalues and eigenvectors. */
+
+/*  RANGE   (input) CHARACTER*1 */
+/*          = 'A': all eigenvalues will be found. */
+/*          = 'V': all eigenvalues in the half-open interval (VL,VU] */
+/*                 will be found. */
+/*          = 'I': the IL-th through IU-th eigenvalues will be found. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix.  N >= 0. */
+
+/*  D       (input/output) REAL array, dimension (N) */
+/*          On entry, the n diagonal elements of the tridiagonal matrix */
+/*          A. */
+/*          On exit, D may be multiplied by a constant factor chosen */
+/*          to avoid over/underflow in computing the eigenvalues. */
+
+/*  E       (input/output) REAL array, dimension (max(1,N-1)) */
+/*          On entry, the (n-1) subdiagonal elements of the tridiagonal */
+/*          matrix A in elements 1 to N-1 of E. */
+/*          On exit, E may be multiplied by a constant factor chosen */
+/*          to avoid over/underflow in computing the eigenvalues. */
+
+/*  VL      (input) REAL */
+/*  VU      (input) REAL */
+/*          If RANGE='V', the lower and upper bounds of the interval to */
+/*          be searched for eigenvalues. VL < VU. */
+/*          Not referenced if RANGE = 'A' or 'I'. */
+
+/*  IL      (input) INTEGER */
+/*  IU      (input) INTEGER */
+/*          If RANGE='I', the indices (in ascending order) of the */
+/*          smallest and largest eigenvalues to be returned. */
+/*          1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. */
+/*          Not referenced if RANGE = 'A' or 'V'. */
+
+/*  ABSTOL  (input) REAL */
+/*          The absolute error tolerance for the eigenvalues. */
+/*          An approximate eigenvalue is accepted as converged */
+/*          when it is determined to lie in an interval [a,b] */
+/*          of width less than or equal to */
+
+/*                  ABSTOL + EPS *   max( |a|,|b| ) , */
+
+/*          where EPS is the machine precision.  If ABSTOL is less */
+/*          than or equal to zero, then  EPS*|T|  will be used in */
+/*          its place, where |T| is the 1-norm of the tridiagonal */
+/*          matrix. */
+
+/*          Eigenvalues will be computed most accurately when ABSTOL is */
+/*          set to twice the underflow threshold 2*SLAMCH('S'), not zero. */
+/*          If this routine returns with INFO>0, indicating that some */
+/*          eigenvectors did not converge, try setting ABSTOL to */
+/*          2*SLAMCH('S'). */
+
+/*          See "Computing Small Singular Values of Bidiagonal Matrices */
+/*          with Guaranteed High Relative Accuracy," by Demmel and */
+/*          Kahan, LAPACK Working Note #3. */
+
+/*  M       (output) INTEGER */
+/*          The total number of eigenvalues found.  0 <= M <= N. */
+/*          If RANGE = 'A', M = N, and if RANGE = 'I', M = IU-IL+1. */
+
+/*  W       (output) REAL array, dimension (N) */
+/*          The first M elements contain the selected eigenvalues in */
+/*          ascending order. */
+
+/*  Z       (output) REAL array, dimension (LDZ, max(1,M) ) */
+/*          If JOBZ = 'V', then if INFO = 0, the first M columns of Z */
+/*          contain the orthonormal eigenvectors of the matrix A */
+/*          corresponding to the selected eigenvalues, with the i-th */
+/*          column of Z holding the eigenvector associated with W(i). */
+/*          If an eigenvector fails to converge (INFO > 0), then that */
+/*          column of Z contains the latest approximation to the */
+/*          eigenvector, and the index of the eigenvector is returned */
+/*          in IFAIL.  If JOBZ = 'N', then Z is not referenced. */
+/*          Note: the user must ensure that at least max(1,M) columns are */
+/*          supplied in the array Z; if RANGE = 'V', the exact value of M */
+/*          is not known in advance and an upper bound must be used. */
+
+/*  LDZ     (input) INTEGER */
+/*          The leading dimension of the array Z.  LDZ >= 1, and if */
+/*          JOBZ = 'V', LDZ >= max(1,N). */
+
+/*  WORK    (workspace) REAL array, dimension (5*N) */
+
+/*  IWORK   (workspace) INTEGER array, dimension (5*N) */
+
+/*  IFAIL   (output) INTEGER array, dimension (N) */
+/*          If JOBZ = 'V', then if INFO = 0, the first M elements of */
+/*          IFAIL are zero.  If INFO > 0, then IFAIL contains the */
+/*          indices of the eigenvectors that failed to converge. */
+/*          If JOBZ = 'N', then IFAIL is not referenced. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+/*          > 0:  if INFO = i, then i eigenvectors failed to converge. */
+/*                Their indices are stored in array IFAIL. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    --d__;
+    --e;
+    --w;
+    z_dim1 = *ldz;
+    z_offset = 1 + z_dim1;
+    z__ -= z_offset;
+    --work;
+    --iwork;
+    --ifail;
+
+    /* Function Body */
+    wantz = lsame_(jobz, "V");
+    alleig = lsame_(range, "A");
+    valeig = lsame_(range, "V");
+    indeig = lsame_(range, "I");
+
+    *info = 0;
+    if (! (wantz || lsame_(jobz, "N"))) {
+	*info = -1;
+    } else if (! (alleig || valeig || indeig)) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else {
+	if (valeig) {
+	    if (*n > 0 && *vu <= *vl) {
+		*info = -7;
+	    }
+	} else if (indeig) {
+	    if (*il < 1 || *il > max(1,*n)) {
+		*info = -8;
+	    } else if (*iu < min(*n,*il) || *iu > *n) {
+		*info = -9;
+	    }
+	}
+    }
+    if (*info == 0) {
+	if (*ldz < 1 || wantz && *ldz < *n) {
+	    *info = -14;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("SSTEVX", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    *m = 0;
+    if (*n == 0) {
+	return 0;
+    }
+
+    if (*n == 1) {
+	if (alleig || indeig) {
+	    *m = 1;
+	    w[1] = d__[1];
+	} else {
+	    if (*vl < d__[1] && *vu >= d__[1]) {
+		*m = 1;
+		w[1] = d__[1];
+	    }
+	}
+	if (wantz) {
+	    z__[z_dim1 + 1] = 1.f;
+	}
+	return 0;
+    }
+
+/*     Get machine constants. */
+
+    safmin = slamch_("Safe minimum");
+    eps = slamch_("Precision");
+    smlnum = safmin / eps;
+    bignum = 1.f / smlnum;
+    rmin = sqrt(smlnum);
+/* Computing MIN */
+    r__1 = sqrt(bignum), r__2 = 1.f / sqrt(sqrt(safmin));
+    rmax = dmin(r__1,r__2);
+
+/*     Scale matrix to allowable range, if necessary. */
+
+    iscale = 0;
+    if (valeig) {
+	vll = *vl;
+	vuu = *vu;
+    } else {
+	vll = 0.f;
+	vuu = 0.f;
+    }
+    tnrm = slanst_("M", n, &d__[1], &e[1]);
+    if (tnrm > 0.f && tnrm < rmin) {
+	iscale = 1;
+	sigma = rmin / tnrm;
+    } else if (tnrm > rmax) {
+	iscale = 1;
+	sigma = rmax / tnrm;
+    }
+    if (iscale == 1) {
+	sscal_(n, &sigma, &d__[1], &c__1);
+	i__1 = *n - 1;
+	sscal_(&i__1, &sigma, &e[1], &c__1);
+	if (valeig) {
+	    vll = *vl * sigma;
+	    vuu = *vu * sigma;
+	}
+    }
+
+/*     If all eigenvalues are desired and ABSTOL is less than zero, then */
+/*     call SSTERF or SSTEQR.  If this fails for some eigenvalue, then */
+/*     try SSTEBZ. */
+
+    test = FALSE_;
+    if (indeig) {
+	if (*il == 1 && *iu == *n) {
+	    test = TRUE_;
+	}
+    }
+    if ((alleig || test) && *abstol <= 0.f) {
+	scopy_(n, &d__[1], &c__1, &w[1], &c__1);
+	i__1 = *n - 1;
+	scopy_(&i__1, &e[1], &c__1, &work[1], &c__1);
+	indwrk = *n + 1;
+	if (! wantz) {
+	    ssterf_(n, &w[1], &work[1], info);
+	} else {
+	    ssteqr_("I", n, &w[1], &work[1], &z__[z_offset], ldz, &work[
+		    indwrk], info);
+	    if (*info == 0) {
+		i__1 = *n;
+		for (i__ = 1; i__ <= i__1; ++i__) {
+		    ifail[i__] = 0;
+/* L10: */
+		}
+	    }
+	}
+	if (*info == 0) {
+	    *m = *n;
+	    goto L20;
+	}
+	*info = 0;
+    }
+
+/*     Otherwise, call SSTEBZ and, if eigenvectors are desired, SSTEIN. */
+
+    if (wantz) {
+	*(unsigned char *)order = 'B';
+    } else {
+	*(unsigned char *)order = 'E';
+    }
+    indwrk = 1;
+    indibl = 1;
+    indisp = indibl + *n;
+    indiwo = indisp + *n;
+    sstebz_(range, order, n, &vll, &vuu, il, iu, abstol, &d__[1], &e[1], m, &
+	    nsplit, &w[1], &iwork[indibl], &iwork[indisp], &work[indwrk], &
+	    iwork[indiwo], info);
+
+    if (wantz) {
+	sstein_(n, &d__[1], &e[1], m, &w[1], &iwork[indibl], &iwork[indisp], &
+		z__[z_offset], ldz, &work[indwrk], &iwork[indiwo], &ifail[1], 
+		info);
+    }
+
+/*     If matrix was scaled, then rescale eigenvalues appropriately. */
+
+L20:
+    if (iscale == 1) {
+	if (*info == 0) {
+	    imax = *m;
+	} else {
+	    imax = *info - 1;
+	}
+	r__1 = 1.f / sigma;
+	sscal_(&imax, &r__1, &w[1], &c__1);
+    }
+
+/*     If eigenvalues are not in order, then sort them, along with */
+/*     eigenvectors. */
+
+    if (wantz) {
+	i__1 = *m - 1;
+	for (j = 1; j <= i__1; ++j) {
+	    i__ = 0;
+	    tmp1 = w[j];
+	    i__2 = *m;
+	    for (jj = j + 1; jj <= i__2; ++jj) {
+		if (w[jj] < tmp1) {
+		    i__ = jj;
+		    tmp1 = w[jj];
+		}
+/* L30: */
+	    }
+
+	    if (i__ != 0) {
+		itmp1 = iwork[indibl + i__ - 1];
+		w[i__] = w[j];
+		iwork[indibl + i__ - 1] = iwork[indibl + j - 1];
+		w[j] = tmp1;
+		iwork[indibl + j - 1] = itmp1;
+		sswap_(n, &z__[i__ * z_dim1 + 1], &c__1, &z__[j * z_dim1 + 1], 
+			 &c__1);
+		if (*info != 0) {
+		    itmp1 = ifail[i__];
+		    ifail[i__] = ifail[j];
+		    ifail[j] = itmp1;
+		}
+	    }
+/* L40: */
+	}
+    }
+
+    return 0;
+
+/*     End of SSTEVX */
+
+} /* sstevx_ */