[] add metering mode to CLI

1 files changed, 288 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dlasd1.c b/contrib/libs/clapack/dlasd1.c
new file mode 100644
index 0000000000..84fb8e5f0b
--- /dev/null
+++ b/contrib/libs/clapack/dlasd1.c
@@ -0,0 +1,288 @@
+/* dlasd1.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__0 = 0;
+static doublereal c_b7 = 1.;
+static integer c__1 = 1;
+static integer c_n1 = -1;
+
+/* Subroutine */ int dlasd1_(integer *nl, integer *nr, integer *sqre, 
+	doublereal *d__, doublereal *alpha, doublereal *beta, doublereal *u, 
+	integer *ldu, doublereal *vt, integer *ldvt, integer *idxq, integer *
+	iwork, doublereal *work, integer *info)
+{
+    /* System generated locals */
+    integer u_dim1, u_offset, vt_dim1, vt_offset, i__1;
+    doublereal d__1, d__2;
+
+    /* Local variables */
+    integer i__, k, m, n, n1, n2, iq, iz, iu2, ldq, idx, ldu2, ivt2, idxc, 
+	    idxp, ldvt2;
+    extern /* Subroutine */ int dlasd2_(integer *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, doublereal *, doublereal *, 
+	     doublereal *, integer *, doublereal *, integer *, doublereal *, 
+	    doublereal *, integer *, doublereal *, integer *, integer *, 
+	    integer *, integer *, integer *, integer *, integer *), dlasd3_(
+	    integer *, integer *, integer *, integer *, doublereal *, 
+	    doublereal *, integer *, doublereal *, doublereal *, integer *, 
+	    doublereal *, integer *, doublereal *, integer *, doublereal *, 
+	    integer *, integer *, integer *, doublereal *, integer *), 
+	    dlascl_(char *, integer *, integer *, doublereal *, doublereal *, 
+	    integer *, integer *, doublereal *, integer *, integer *),
+	     dlamrg_(integer *, integer *, doublereal *, integer *, integer *, 
+	     integer *);
+    integer isigma;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    doublereal orgnrm;
+    integer coltyp;
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DLASD1 computes the SVD of an upper bidiagonal N-by-M matrix B, */
+/*  where N = NL + NR + 1 and M = N + SQRE. DLASD1 is called from DLASD0. */
+
+/*  A related subroutine DLASD7 handles the case in which the singular */
+/*  values (and the singular vectors in factored form) are desired. */
+
+/*  DLASD1 computes the SVD as follows: */
+
+/*                ( D1(in)  0    0     0 ) */
+/*    B = U(in) * (   Z1'   a   Z2'    b ) * VT(in) */
+/*                (   0     0   D2(in) 0 ) */
+
+/*      = U(out) * ( D(out) 0) * VT(out) */
+
+/*  where Z' = (Z1' a Z2' b) = u' VT', and u is a vector of dimension M */
+/*  with ALPHA and BETA in the NL+1 and NL+2 th entries and zeros */
+/*  elsewhere; and the entry b is empty if SQRE = 0. */
+
+/*  The left singular vectors of the original matrix are stored in U, and */
+/*  the transpose of the right singular vectors are stored in VT, and the */
+/*  singular values are in D.  The algorithm consists of three stages: */
+
+/*     The first stage consists of deflating the size of the problem */
+/*     when there are multiple singular values or when there are zeros in */
+/*     the Z vector.  For each such occurence the dimension of the */
+/*     secular equation problem is reduced by one.  This stage is */
+/*     performed by the routine DLASD2. */
+
+/*     The second stage consists of calculating the updated */
+/*     singular values. This is done by finding the square roots of the */
+/*     roots of the secular equation via the routine DLASD4 (as called */
+/*     by DLASD3). This routine also calculates the singular vectors of */
+/*     the current problem. */
+
+/*     The final stage consists of computing the updated singular vectors */
+/*     directly using the updated singular values.  The singular vectors */
+/*     for the current problem are multiplied with the singular vectors */
+/*     from the overall problem. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  NL     (input) INTEGER */
+/*         The row dimension of the upper block.  NL >= 1. */
+
+/*  NR     (input) INTEGER */
+/*         The row dimension of the lower block.  NR >= 1. */
+
+/*  SQRE   (input) INTEGER */
+/*         = 0: the lower block is an NR-by-NR square matrix. */
+/*         = 1: the lower block is an NR-by-(NR+1) rectangular matrix. */
+
+/*         The bidiagonal matrix has row dimension N = NL + NR + 1, */
+/*         and column dimension M = N + SQRE. */
+
+/*  D      (input/output) DOUBLE PRECISION array, */
+/*                        dimension (N = NL+NR+1). */
+/*         On entry D(1:NL,1:NL) contains the singular values of the */
+/*         upper block; and D(NL+2:N) contains the singular values of */
+/*         the lower block. On exit D(1:N) contains the singular values */
+/*         of the modified matrix. */
+
+/*  ALPHA  (input/output) DOUBLE PRECISION */
+/*         Contains the diagonal element associated with the added row. */
+
+/*  BETA   (input/output) DOUBLE PRECISION */
+/*         Contains the off-diagonal element associated with the added */
+/*         row. */
+
+/*  U      (input/output) DOUBLE PRECISION array, dimension(LDU,N) */
+/*         On entry U(1:NL, 1:NL) contains the left singular vectors of */
+/*         the upper block; U(NL+2:N, NL+2:N) contains the left singular */
+/*         vectors of the lower block. On exit U contains the left */
+/*         singular vectors of the bidiagonal matrix. */
+
+/*  LDU    (input) INTEGER */
+/*         The leading dimension of the array U.  LDU >= max( 1, N ). */
+
+/*  VT     (input/output) DOUBLE PRECISION array, dimension(LDVT,M) */
+/*         where M = N + SQRE. */
+/*         On entry VT(1:NL+1, 1:NL+1)' contains the right singular */
+/*         vectors of the upper block; VT(NL+2:M, NL+2:M)' contains */
+/*         the right singular vectors of the lower block. On exit */
+/*         VT' contains the right singular vectors of the */
+/*         bidiagonal matrix. */
+
+/*  LDVT   (input) INTEGER */
+/*         The leading dimension of the array VT.  LDVT >= max( 1, M ). */
+
+/*  IDXQ  (output) INTEGER array, dimension(N) */
+/*         This contains the permutation which will reintegrate the */
+/*         subproblem just solved back into sorted order, i.e. */
+/*         D( IDXQ( I = 1, N ) ) will be in ascending order. */
+
+/*  IWORK  (workspace) INTEGER array, dimension( 4 * N ) */
+
+/*  WORK   (workspace) DOUBLE PRECISION array, dimension( 3*M**2 + 2*M ) */
+
+/*  INFO   (output) INTEGER */
+/*          = 0:  successful exit. */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+/*          > 0:  if INFO = 1, an singular value did not converge */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Ming Gu and Huan Ren, Computer Science Division, University of */
+/*     California at Berkeley, USA */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    --d__;
+    u_dim1 = *ldu;
+    u_offset = 1 + u_dim1;
+    u -= u_offset;
+    vt_dim1 = *ldvt;
+    vt_offset = 1 + vt_dim1;
+    vt -= vt_offset;
+    --idxq;
+    --iwork;
+    --work;
+
+    /* Function Body */
+    *info = 0;
+
+    if (*nl < 1) {
+	*info = -1;
+    } else if (*nr < 1) {
+	*info = -2;
+    } else if (*sqre < 0 || *sqre > 1) {
+	*info = -3;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("DLASD1", &i__1);
+	return 0;
+    }
+
+    n = *nl + *nr + 1;
+    m = n + *sqre;
+
+/*     The following values are for bookkeeping purposes only.  They are */
+/*     integer pointers which indicate the portion of the workspace */
+/*     used by a particular array in DLASD2 and DLASD3. */
+
+    ldu2 = n;
+    ldvt2 = m;
+
+    iz = 1;
+    isigma = iz + m;
+    iu2 = isigma + n;
+    ivt2 = iu2 + ldu2 * n;
+    iq = ivt2 + ldvt2 * m;
+
+    idx = 1;
+    idxc = idx + n;
+    coltyp = idxc + n;
+    idxp = coltyp + n;
+
+/*     Scale. */
+
+/* Computing MAX */
+    d__1 = abs(*alpha), d__2 = abs(*beta);
+    orgnrm = max(d__1,d__2);
+    d__[*nl + 1] = 0.;
+    i__1 = n;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	if ((d__1 = d__[i__], abs(d__1)) > orgnrm) {
+	    orgnrm = (d__1 = d__[i__], abs(d__1));
+	}
+/* L10: */
+    }
+    dlascl_("G", &c__0, &c__0, &orgnrm, &c_b7, &n, &c__1, &d__[1], &n, info);
+    *alpha /= orgnrm;
+    *beta /= orgnrm;
+
+/*     Deflate singular values. */
+
+    dlasd2_(nl, nr, sqre, &k, &d__[1], &work[iz], alpha, beta, &u[u_offset], 
+	    ldu, &vt[vt_offset], ldvt, &work[isigma], &work[iu2], &ldu2, &
+	    work[ivt2], &ldvt2, &iwork[idxp], &iwork[idx], &iwork[idxc], &
+	    idxq[1], &iwork[coltyp], info);
+
+/*     Solve Secular Equation and update singular vectors. */
+
+    ldq = k;
+    dlasd3_(nl, nr, sqre, &k, &d__[1], &work[iq], &ldq, &work[isigma], &u[
+	    u_offset], ldu, &work[iu2], &ldu2, &vt[vt_offset], ldvt, &work[
+	    ivt2], &ldvt2, &iwork[idxc], &iwork[coltyp], &work[iz], info);
+    if (*info != 0) {
+	return 0;
+    }
+
+/*     Unscale. */
+
+    dlascl_("G", &c__0, &c__0, &c_b7, &orgnrm, &n, &c__1, &d__[1], &n, info);
+
+/*     Prepare the IDXQ sorting permutation. */
+
+    n1 = k;
+    n2 = n - k;
+    dlamrg_(&n1, &n2, &d__[1], &c__1, &c_n1, &idxq[1]);
+
+    return 0;
+
+/*     End of DLASD1 */
+
+} /* dlasd1_ */