[] add metering mode to CLI

1 files changed, 524 insertions, 0 deletions

diff --git a/contrib/libs/clapack/chbevx.c b/contrib/libs/clapack/chbevx.c
new file mode 100644
index 00000000000..0a395a250b4
--- /dev/null
+++ b/contrib/libs/clapack/chbevx.c
@@ -0,0 +1,524 @@
+/* chbevx.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 complex c_b1 = {0.f,0.f};
+static complex c_b2 = {1.f,0.f};
+static real c_b16 = 1.f;
+static integer c__1 = 1;
+
+/* Subroutine */ int chbevx_(char *jobz, char *range, char *uplo, integer *n, 
+	integer *kd, complex *ab, integer *ldab, complex *q, integer *ldq, 
+	real *vl, real *vu, integer *il, integer *iu, real *abstol, integer *
+	m, real *w, complex *z__, integer *ldz, complex *work, real *rwork, 
+	integer *iwork, integer *ifail, integer *info)
+{
+    /* System generated locals */
+    integer ab_dim1, ab_offset, q_dim1, q_offset, 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 indd, inde;
+    real anrm;
+    integer imax;
+    real rmin, rmax;
+    logical test;
+    complex ctmp1;
+    integer itmp1, indee;
+    real sigma;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int cgemv_(char *, integer *, integer *, complex *
+, complex *, integer *, complex *, integer *, complex *, complex *
+, integer *);
+    integer iinfo;
+    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
+    char order[1];
+    extern /* Subroutine */ int ccopy_(integer *, complex *, integer *, 
+	    complex *, integer *), cswap_(integer *, complex *, integer *, 
+	    complex *, integer *);
+    logical lower;
+    extern /* Subroutine */ int scopy_(integer *, real *, integer *, real *, 
+	    integer *);
+    logical wantz;
+    extern doublereal clanhb_(char *, char *, integer *, integer *, complex *, 
+	     integer *, real *);
+    logical alleig, indeig;
+    integer iscale, indibl;
+    extern /* Subroutine */ int clascl_(char *, integer *, integer *, real *, 
+	    real *, integer *, integer *, complex *, integer *, integer *), chbtrd_(char *, char *, integer *, integer *, complex *, 
+	    integer *, real *, real *, complex *, integer *, complex *, 
+	    integer *);
+    logical valeig;
+    extern doublereal slamch_(char *);
+    extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex 
+	    *, integer *, complex *, integer *);
+    real safmin;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    real abstll, bignum;
+    integer indiwk, indisp;
+    extern /* Subroutine */ int cstein_(integer *, real *, real *, integer *, 
+	    real *, integer *, integer *, complex *, integer *, real *, 
+	    integer *, integer *, integer *);
+    integer indrwk, indwrk;
+    extern /* Subroutine */ int csteqr_(char *, integer *, real *, real *, 
+	    complex *, integer *, real *, 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;
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CHBEVX computes selected eigenvalues and, optionally, eigenvectors */
+/*  of a complex Hermitian band 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. */
+
+/*  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. */
+
+/*  KD      (input) INTEGER */
+/*          The number of superdiagonals of the matrix A if UPLO = 'U', */
+/*          or the number of subdiagonals if UPLO = 'L'.  KD >= 0. */
+
+/*  AB      (input/output) COMPLEX array, dimension (LDAB, N) */
+/*          On entry, the upper or lower triangle of the Hermitian band */
+/*          matrix A, stored in the first KD+1 rows of the array.  The */
+/*          j-th column of A is stored in the j-th column of the array AB */
+/*          as follows: */
+/*          if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; */
+/*          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd). */
+
+/*          On exit, AB is overwritten by values generated during the */
+/*          reduction to tridiagonal form. */
+
+/*  LDAB    (input) INTEGER */
+/*          The leading dimension of the array AB.  LDAB >= KD + 1. */
+
+/*  Q       (output) COMPLEX array, dimension (LDQ, N) */
+/*          If JOBZ = 'V', the N-by-N unitary matrix used in the */
+/*                          reduction to tridiagonal form. */
+/*          If JOBZ = 'N', the array Q is not referenced. */
+
+/*  LDQ     (input) INTEGER */
+/*          The leading dimension of the array Q.  If JOBZ = 'V', then */
+/*          LDQ >= max(1,N). */
+
+/*  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 obtained */
+/*          by reducing AB to tridiagonal form. */
+
+/*          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) COMPLEX 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, 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) COMPLEX array, dimension (N) */
+
+/*  RWORK   (workspace) REAL array, dimension (7*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 */
+    ab_dim1 = *ldab;
+    ab_offset = 1 + ab_dim1;
+    ab -= ab_offset;
+    q_dim1 = *ldq;
+    q_offset = 1 + q_dim1;
+    q -= q_offset;
+    --w;
+    z_dim1 = *ldz;
+    z_offset = 1 + z_dim1;
+    z__ -= z_offset;
+    --work;
+    --rwork;
+    --iwork;
+    --ifail;
+
+    /* Function Body */
+    wantz = lsame_(jobz, "V");
+    alleig = lsame_(range, "A");
+    valeig = lsame_(range, "V");
+    indeig = lsame_(range, "I");
+    lower = lsame_(uplo, "L");
+
+    *info = 0;
+    if (! (wantz || lsame_(jobz, "N"))) {
+	*info = -1;
+    } else if (! (alleig || valeig || indeig)) {
+	*info = -2;
+    } else if (! (lower || lsame_(uplo, "U"))) {
+	*info = -3;
+    } else if (*n < 0) {
+	*info = -4;
+    } else if (*kd < 0) {
+	*info = -5;
+    } else if (*ldab < *kd + 1) {
+	*info = -7;
+    } else if (wantz && *ldq < max(1,*n)) {
+	*info = -9;
+    } else {
+	if (valeig) {
+	    if (*n > 0 && *vu <= *vl) {
+		*info = -11;
+	    }
+	} else if (indeig) {
+	    if (*il < 1 || *il > max(1,*n)) {
+		*info = -12;
+	    } else if (*iu < min(*n,*il) || *iu > *n) {
+		*info = -13;
+	    }
+	}
+    }
+    if (*info == 0) {
+	if (*ldz < 1 || wantz && *ldz < *n) {
+	    *info = -18;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CHBEVX", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    *m = 0;
+    if (*n == 0) {
+	return 0;
+    }
+
+    if (*n == 1) {
+	*m = 1;
+	if (lower) {
+	    i__1 = ab_dim1 + 1;
+	    ctmp1.r = ab[i__1].r, ctmp1.i = ab[i__1].i;
+	} else {
+	    i__1 = *kd + 1 + ab_dim1;
+	    ctmp1.r = ab[i__1].r, ctmp1.i = ab[i__1].i;
+	}
+	tmp1 = ctmp1.r;
+	if (valeig) {
+	    if (! (*vl < tmp1 && *vu >= tmp1)) {
+		*m = 0;
+	    }
+	}
+	if (*m == 1) {
+	    w[1] = ctmp1.r;
+	    if (wantz) {
+		i__1 = z_dim1 + 1;
+		z__[i__1].r = 1.f, z__[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);
+/* 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;
+    abstll = *abstol;
+    if (valeig) {
+	vll = *vl;
+	vuu = *vu;
+    } else {
+	vll = 0.f;
+	vuu = 0.f;
+    }
+    anrm = clanhb_("M", uplo, n, kd, &ab[ab_offset], ldab, &rwork[1]);
+    if (anrm > 0.f && anrm < rmin) {
+	iscale = 1;
+	sigma = rmin / anrm;
+    } else if (anrm > rmax) {
+	iscale = 1;
+	sigma = rmax / anrm;
+    }
+    if (iscale == 1) {
+	if (lower) {
+	    clascl_("B", kd, kd, &c_b16, &sigma, n, n, &ab[ab_offset], ldab, 
+		    info);
+	} else {
+	    clascl_("Q", kd, kd, &c_b16, &sigma, n, n, &ab[ab_offset], ldab, 
+		    info);
+	}
+	if (*abstol > 0.f) {
+	    abstll = *abstol * sigma;
+	}
+	if (valeig) {
+	    vll = *vl * sigma;
+	    vuu = *vu * sigma;
+	}
+    }
+
+/*     Call CHBTRD to reduce Hermitian band matrix to tridiagonal form. */
+
+    indd = 1;
+    inde = indd + *n;
+    indrwk = inde + *n;
+    indwrk = 1;
+    chbtrd_(jobz, uplo, n, kd, &ab[ab_offset], ldab, &rwork[indd], &rwork[
+	    inde], &q[q_offset], ldq, &work[indwrk], &iinfo);
+
+/*     If all eigenvalues are desired and ABSTOL is less than or equal */
+/*     to zero, then call SSTERF or CSTEQR.  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, &rwork[indd], &c__1, &w[1], &c__1);
+	indee = indrwk + (*n << 1);
+	if (! wantz) {
+	    i__1 = *n - 1;
+	    scopy_(&i__1, &rwork[inde], &c__1, &rwork[indee], &c__1);
+	    ssterf_(n, &w[1], &rwork[indee], info);
+	} else {
+	    clacpy_("A", n, n, &q[q_offset], ldq, &z__[z_offset], ldz);
+	    i__1 = *n - 1;
+	    scopy_(&i__1, &rwork[inde], &c__1, &rwork[indee], &c__1);
+	    csteqr_(jobz, n, &w[1], &rwork[indee], &z__[z_offset], ldz, &
+		    rwork[indrwk], info);
+	    if (*info == 0) {
+		i__1 = *n;
+		for (i__ = 1; i__ <= i__1; ++i__) {
+		    ifail[i__] = 0;
+/* L10: */
+		}
+	    }
+	}
+	if (*info == 0) {
+	    *m = *n;
+	    goto L30;
+	}
+	*info = 0;
+    }
+
+/*     Otherwise, call SSTEBZ and, if eigenvectors are desired, CSTEIN. */
+
+    if (wantz) {
+	*(unsigned char *)order = 'B';
+    } else {
+	*(unsigned char *)order = 'E';
+    }
+    indibl = 1;
+    indisp = indibl + *n;
+    indiwk = indisp + *n;
+    sstebz_(range, order, n, &vll, &vuu, il, iu, &abstll, &rwork[indd], &
+	    rwork[inde], m, &nsplit, &w[1], &iwork[indibl], &iwork[indisp], &
+	    rwork[indrwk], &iwork[indiwk], info);
+
+    if (wantz) {
+	cstein_(n, &rwork[indd], &rwork[inde], m, &w[1], &iwork[indibl], &
+		iwork[indisp], &z__[z_offset], ldz, &rwork[indrwk], &iwork[
+		indiwk], &ifail[1], info);
+
+/*        Apply unitary matrix used in reduction to tridiagonal */
+/*        form to eigenvectors returned by CSTEIN. */
+
+	i__1 = *m;
+	for (j = 1; j <= i__1; ++j) {
+	    ccopy_(n, &z__[j * z_dim1 + 1], &c__1, &work[1], &c__1);
+	    cgemv_("N", n, n, &c_b2, &q[q_offset], ldq, &work[1], &c__1, &
+		    c_b1, &z__[j * z_dim1 + 1], &c__1);
+/* L20: */
+	}
+    }
+
+/*     If matrix was scaled, then rescale eigenvalues appropriately. */
+
+L30:
+    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];
+		}
+/* L40: */
+	    }
+
+	    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;
+		cswap_(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;
+		}
+	    }
+/* L50: */
+	}
+    }
+
+    return 0;
+
+/*     End of CHBEVX */
+
+} /* chbevx_ */