[] add metering mode to CLI

1 files changed, 496 insertions, 0 deletions

diff --git a/contrib/libs/clapack/cstedc.c b/contrib/libs/clapack/cstedc.c
new file mode 100644
index 0000000000..6c499a474d
--- /dev/null
+++ b/contrib/libs/clapack/cstedc.c
@@ -0,0 +1,496 @@
+/* cstedc.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__9 = 9;
+static integer c__0 = 0;
+static integer c__2 = 2;
+static real c_b17 = 0.f;
+static real c_b18 = 1.f;
+static integer c__1 = 1;
+
+/* Subroutine */ int cstedc_(char *compz, integer *n, real *d__, real *e, 
+	complex *z__, integer *ldz, complex *work, integer *lwork, real *
+	rwork, integer *lrwork, integer *iwork, integer *liwork, integer *
+	info)
+{
+    /* System generated locals */
+    integer z_dim1, z_offset, i__1, i__2, i__3, i__4;
+    real r__1, r__2;
+
+    /* Builtin functions */
+    double log(doublereal);
+    integer pow_ii(integer *, integer *);
+    double sqrt(doublereal);
+
+    /* Local variables */
+    integer i__, j, k, m;
+    real p;
+    integer ii, ll, lgn;
+    real eps, tiny;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int cswap_(integer *, complex *, integer *, 
+	    complex *, integer *);
+    integer lwmin;
+    extern /* Subroutine */ int claed0_(integer *, integer *, real *, real *, 
+	    complex *, integer *, complex *, integer *, real *, integer *, 
+	    integer *);
+    integer start;
+    extern /* Subroutine */ int clacrm_(integer *, integer *, complex *, 
+	    integer *, real *, integer *, complex *, integer *, real *);
+    extern doublereal slamch_(char *);
+    extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex 
+	    *, integer *, complex *, integer *), xerbla_(char *, 
+	    integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    integer finish;
+    extern /* Subroutine */ int slascl_(char *, integer *, integer *, real *, 
+	    real *, integer *, integer *, real *, integer *, integer *), sstedc_(char *, integer *, real *, real *, real *, 
+	    integer *, real *, integer *, integer *, integer *, integer *), slaset_(char *, integer *, integer *, real *, real *, 
+	    real *, integer *);
+    integer liwmin, icompz;
+    extern /* Subroutine */ int csteqr_(char *, integer *, real *, real *, 
+	    complex *, integer *, real *, integer *);
+    real orgnrm;
+    extern doublereal slanst_(char *, integer *, real *, real *);
+    extern /* Subroutine */ int ssterf_(integer *, real *, real *, integer *);
+    integer lrwmin;
+    logical lquery;
+    integer smlsiz;
+    extern /* Subroutine */ int ssteqr_(char *, integer *, real *, real *, 
+	    real *, integer *, real *, integer *);
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CSTEDC computes all eigenvalues and, optionally, eigenvectors of a */
+/*  symmetric tridiagonal matrix using the divide and conquer method. */
+/*  The eigenvectors of a full or band complex Hermitian matrix can also */
+/*  be found if CHETRD or CHPTRD or CHBTRD has been used to reduce this */
+/*  matrix to tridiagonal form. */
+
+/*  This code 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.  See SLAED3 for details. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  COMPZ   (input) CHARACTER*1 */
+/*          = 'N':  Compute eigenvalues only. */
+/*          = 'I':  Compute eigenvectors of tridiagonal matrix also. */
+/*          = 'V':  Compute eigenvectors of original Hermitian matrix */
+/*                  also.  On entry, Z contains the unitary matrix used */
+/*                  to reduce the original matrix to tridiagonal form. */
+
+/*  N       (input) INTEGER */
+/*          The dimension of the symmetric tridiagonal matrix.  N >= 0. */
+
+/*  D       (input/output) REAL array, dimension (N) */
+/*          On entry, the diagonal elements of the tridiagonal matrix. */
+/*          On exit, if INFO = 0, the eigenvalues in ascending order. */
+
+/*  E       (input/output) REAL array, dimension (N-1) */
+/*          On entry, the subdiagonal elements of the tridiagonal matrix. */
+/*          On exit, E has been destroyed. */
+
+/*  Z       (input/output) COMPLEX array, dimension (LDZ,N) */
+/*          On entry, if COMPZ = 'V', then Z contains the unitary */
+/*          matrix used in the reduction to tridiagonal form. */
+/*          On exit, if INFO = 0, then if COMPZ = 'V', Z contains the */
+/*          orthonormal eigenvectors of the original Hermitian matrix, */
+/*          and if COMPZ = 'I', Z contains the orthonormal eigenvectors */
+/*          of the symmetric tridiagonal matrix. */
+/*          If  COMPZ = 'N', then Z is not referenced. */
+
+/*  LDZ     (input) INTEGER */
+/*          The leading dimension of the array Z.  LDZ >= 1. */
+/*          If eigenvectors are desired, then LDZ >= max(1,N). */
+
+/*  WORK    (workspace/output) COMPLEX    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. */
+/*          If COMPZ = 'N' or 'I', or N <= 1, LWORK must be at least 1. */
+/*          If COMPZ = 'V' and N > 1, LWORK must be at least N*N. */
+/*          Note that for COMPZ = 'V', then if N is less than or */
+/*          equal to the minimum divide size, usually 25, then LWORK need */
+/*          only be 1. */
+
+/*          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 (MAX(1,LRWORK)) */
+/*          On exit, if INFO = 0, RWORK(1) returns the optimal LRWORK. */
+
+/*  LRWORK  (input) INTEGER */
+/*          The dimension of the array RWORK. */
+/*          If COMPZ = 'N' or N <= 1, LRWORK must be at least 1. */
+/*          If COMPZ = 'V' and N > 1, LRWORK must be at least */
+/*                         1 + 3*N + 2*N*lg N + 3*N**2 , */
+/*                         where lg( N ) = smallest integer k such */
+/*                         that 2**k >= N. */
+/*          If COMPZ = 'I' and N > 1, LRWORK must be at least */
+/*                         1 + 4*N + 2*N**2 . */
+/*          Note that for COMPZ = 'I' or 'V', then if N is less than or */
+/*          equal to the minimum divide size, usually 25, then LRWORK */
+/*          need only be max(1,2*(N-1)). */
+
+/*          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 COMPZ = 'N' or N <= 1, LIWORK must be at least 1. */
+/*          If COMPZ = 'V' or N > 1,  LIWORK must be at least */
+/*                                    6 + 6*N + 5*N*lg N. */
+/*          If COMPZ = 'I' or N > 1,  LIWORK must be at least */
+/*                                    3 + 5*N . */
+/*          Note that for COMPZ = 'I' or 'V', then if N is less than or */
+/*          equal to the minimum divide size, usually 25, then LIWORK */
+/*          need only be 1. */
+
+/*          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:  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 */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    --d__;
+    --e;
+    z_dim1 = *ldz;
+    z_offset = 1 + z_dim1;
+    z__ -= z_offset;
+    --work;
+    --rwork;
+    --iwork;
+
+    /* Function Body */
+    *info = 0;
+    lquery = *lwork == -1 || *lrwork == -1 || *liwork == -1;
+
+    if (lsame_(compz, "N")) {
+	icompz = 0;
+    } else if (lsame_(compz, "V")) {
+	icompz = 1;
+    } else if (lsame_(compz, "I")) {
+	icompz = 2;
+    } else {
+	icompz = -1;
+    }
+    if (icompz < 0) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*ldz < 1 || icompz > 0 && *ldz < max(1,*n)) {
+	*info = -6;
+    }
+
+    if (*info == 0) {
+
+/*        Compute the workspace requirements */
+
+	smlsiz = ilaenv_(&c__9, "CSTEDC", " ", &c__0, &c__0, &c__0, &c__0);
+	if (*n <= 1 || icompz == 0) {
+	    lwmin = 1;
+	    liwmin = 1;
+	    lrwmin = 1;
+	} else if (*n <= smlsiz) {
+	    lwmin = 1;
+	    liwmin = 1;
+	    lrwmin = *n - 1 << 1;
+	} else if (icompz == 1) {
+	    lgn = (integer) (log((real) (*n)) / log(2.f));
+	    if (pow_ii(&c__2, &lgn) < *n) {
+		++lgn;
+	    }
+	    if (pow_ii(&c__2, &lgn) < *n) {
+		++lgn;
+	    }
+	    lwmin = *n * *n;
+/* Computing 2nd power */
+	    i__1 = *n;
+	    lrwmin = *n * 3 + 1 + (*n << 1) * lgn + i__1 * i__1 * 3;
+	    liwmin = *n * 6 + 6 + *n * 5 * lgn;
+	} else if (icompz == 2) {
+	    lwmin = 1;
+/* Computing 2nd power */
+	    i__1 = *n;
+	    lrwmin = (*n << 2) + 1 + (i__1 * i__1 << 1);
+	    liwmin = *n * 5 + 3;
+	}
+	work[1].r = (real) lwmin, work[1].i = 0.f;
+	rwork[1] = (real) lrwmin;
+	iwork[1] = liwmin;
+
+	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_("CSTEDC", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+    if (*n == 1) {
+	if (icompz != 0) {
+	    i__1 = z_dim1 + 1;
+	    z__[i__1].r = 1.f, z__[i__1].i = 0.f;
+	}
+	return 0;
+    }
+
+/*     If the following conditional clause is removed, then the routine */
+/*     will use the Divide and Conquer routine to compute only the */
+/*     eigenvalues, which requires (3N + 3N**2) real workspace and */
+/*     (2 + 5N + 2N lg(N)) integer workspace. */
+/*     Since on many architectures SSTERF is much faster than any other */
+/*     algorithm for finding eigenvalues only, it is used here */
+/*     as the default. If the conditional clause is removed, then */
+/*     information on the size of workspace needs to be changed. */
+
+/*     If COMPZ = 'N', use SSTERF to compute the eigenvalues. */
+
+    if (icompz == 0) {
+	ssterf_(n, &d__[1], &e[1], info);
+	goto L70;
+    }
+
+/*     If N is smaller than the minimum divide size (SMLSIZ+1), then */
+/*     solve the problem with another solver. */
+
+    if (*n <= smlsiz) {
+
+	csteqr_(compz, n, &d__[1], &e[1], &z__[z_offset], ldz, &rwork[1], 
+		info);
+
+    } else {
+
+/*        If COMPZ = 'I', we simply call SSTEDC instead. */
+
+	if (icompz == 2) {
+	    slaset_("Full", n, n, &c_b17, &c_b18, &rwork[1], n);
+	    ll = *n * *n + 1;
+	    i__1 = *lrwork - ll + 1;
+	    sstedc_("I", n, &d__[1], &e[1], &rwork[1], n, &rwork[ll], &i__1, &
+		    iwork[1], liwork, info);
+	    i__1 = *n;
+	    for (j = 1; j <= i__1; ++j) {
+		i__2 = *n;
+		for (i__ = 1; i__ <= i__2; ++i__) {
+		    i__3 = i__ + j * z_dim1;
+		    i__4 = (j - 1) * *n + i__;
+		    z__[i__3].r = rwork[i__4], z__[i__3].i = 0.f;
+/* L10: */
+		}
+/* L20: */
+	    }
+	    goto L70;
+	}
+
+/*        From now on, only option left to be handled is COMPZ = 'V', */
+/*        i.e. ICOMPZ = 1. */
+
+/*        Scale. */
+
+	orgnrm = slanst_("M", n, &d__[1], &e[1]);
+	if (orgnrm == 0.f) {
+	    goto L70;
+	}
+
+	eps = slamch_("Epsilon");
+
+	start = 1;
+
+/*        while ( START <= N ) */
+
+L30:
+	if (start <= *n) {
+
+/*           Let FINISH be the position of the next subdiagonal entry */
+/*           such that E( FINISH ) <= TINY or FINISH = N if no such */
+/*           subdiagonal exists.  The matrix identified by the elements */
+/*           between START and FINISH constitutes an independent */
+/*           sub-problem. */
+
+	    finish = start;
+L40:
+	    if (finish < *n) {
+		tiny = eps * sqrt((r__1 = d__[finish], dabs(r__1))) * sqrt((
+			r__2 = d__[finish + 1], dabs(r__2)));
+		if ((r__1 = e[finish], dabs(r__1)) > tiny) {
+		    ++finish;
+		    goto L40;
+		}
+	    }
+
+/*           (Sub) Problem determined.  Compute its size and solve it. */
+
+	    m = finish - start + 1;
+	    if (m > smlsiz) {
+
+/*              Scale. */
+
+		orgnrm = slanst_("M", &m, &d__[start], &e[start]);
+		slascl_("G", &c__0, &c__0, &orgnrm, &c_b18, &m, &c__1, &d__[
+			start], &m, info);
+		i__1 = m - 1;
+		i__2 = m - 1;
+		slascl_("G", &c__0, &c__0, &orgnrm, &c_b18, &i__1, &c__1, &e[
+			start], &i__2, info);
+
+		claed0_(n, &m, &d__[start], &e[start], &z__[start * z_dim1 + 
+			1], ldz, &work[1], n, &rwork[1], &iwork[1], info);
+		if (*info > 0) {
+		    *info = (*info / (m + 1) + start - 1) * (*n + 1) + *info %
+			     (m + 1) + start - 1;
+		    goto L70;
+		}
+
+/*              Scale back. */
+
+		slascl_("G", &c__0, &c__0, &c_b18, &orgnrm, &m, &c__1, &d__[
+			start], &m, info);
+
+	    } else {
+		ssteqr_("I", &m, &d__[start], &e[start], &rwork[1], &m, &
+			rwork[m * m + 1], info);
+		clacrm_(n, &m, &z__[start * z_dim1 + 1], ldz, &rwork[1], &m, &
+			work[1], n, &rwork[m * m + 1]);
+		clacpy_("A", n, &m, &work[1], n, &z__[start * z_dim1 + 1], 
+			ldz);
+		if (*info > 0) {
+		    *info = start * (*n + 1) + finish;
+		    goto L70;
+		}
+	    }
+
+	    start = finish + 1;
+	    goto L30;
+	}
+
+/*        endwhile */
+
+/*        If the problem split any number of times, then the eigenvalues */
+/*        will not be properly ordered.  Here we permute the eigenvalues */
+/*        (and the associated eigenvectors) into ascending order. */
+
+	if (m != *n) {
+
+/*           Use Selection Sort to minimize swaps of eigenvectors */
+
+	    i__1 = *n;
+	    for (ii = 2; ii <= i__1; ++ii) {
+		i__ = ii - 1;
+		k = i__;
+		p = d__[i__];
+		i__2 = *n;
+		for (j = ii; j <= i__2; ++j) {
+		    if (d__[j] < p) {
+			k = j;
+			p = d__[j];
+		    }
+/* L50: */
+		}
+		if (k != i__) {
+		    d__[k] = d__[i__];
+		    d__[i__] = p;
+		    cswap_(n, &z__[i__ * z_dim1 + 1], &c__1, &z__[k * z_dim1 
+			    + 1], &c__1);
+		}
+/* L60: */
+	    }
+	}
+    }
+
+L70:
+    work[1].r = (real) lwmin, work[1].i = 0.f;
+    rwork[1] = (real) lrwmin;
+    iwork[1] = liwmin;
+
+    return 0;
+
+/*     End of CSTEDC */
+
+} /* cstedc_ */