[] add metering mode to CLI

1 files changed, 514 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dbdsdc.c b/contrib/libs/clapack/dbdsdc.c
new file mode 100644
index 0000000000..6096e4faae
--- /dev/null
+++ b/contrib/libs/clapack/dbdsdc.c
@@ -0,0 +1,514 @@
+/* dbdsdc.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 doublereal c_b15 = 1.;
+static integer c__1 = 1;
+static doublereal c_b29 = 0.;
+
+/* Subroutine */ int dbdsdc_(char *uplo, char *compq, integer *n, doublereal *
+	d__, doublereal *e, doublereal *u, integer *ldu, doublereal *vt, 
+	integer *ldvt, doublereal *q, integer *iq, doublereal *work, integer *
+	iwork, integer *info)
+{
+    /* System generated locals */
+    integer u_dim1, u_offset, vt_dim1, vt_offset, i__1, i__2;
+    doublereal d__1;
+
+    /* Builtin functions */
+    double d_sign(doublereal *, doublereal *), log(doublereal);
+
+    /* Local variables */
+    integer i__, j, k;
+    doublereal p, r__;
+    integer z__, ic, ii, kk;
+    doublereal cs;
+    integer is, iu;
+    doublereal sn;
+    integer nm1;
+    doublereal eps;
+    integer ivt, difl, difr, ierr, perm, mlvl, sqre;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int dlasr_(char *, char *, char *, integer *, 
+	    integer *, doublereal *, doublereal *, doublereal *, integer *), dcopy_(integer *, doublereal *, integer *
+, doublereal *, integer *), dswap_(integer *, doublereal *, 
+	    integer *, doublereal *, integer *);
+    integer poles, iuplo, nsize, start;
+    extern /* Subroutine */ int dlasd0_(integer *, integer *, doublereal *, 
+	    doublereal *, doublereal *, integer *, doublereal *, integer *, 
+	    integer *, integer *, doublereal *, integer *);
+    extern doublereal dlamch_(char *);
+    extern /* Subroutine */ int dlasda_(integer *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, doublereal *, integer *, 
+	    doublereal *, integer *, doublereal *, doublereal *, doublereal *, 
+	     doublereal *, integer *, integer *, integer *, integer *, 
+	    doublereal *, doublereal *, doublereal *, doublereal *, integer *, 
+	     integer *), dlascl_(char *, integer *, integer *, doublereal *, 
+	    doublereal *, integer *, integer *, doublereal *, integer *, 
+	    integer *), dlasdq_(char *, integer *, integer *, integer 
+	    *, integer *, integer *, doublereal *, doublereal *, doublereal *, 
+	     integer *, doublereal *, integer *, doublereal *, integer *, 
+	    doublereal *, integer *), dlaset_(char *, integer *, 
+	    integer *, doublereal *, doublereal *, doublereal *, integer *), dlartg_(doublereal *, doublereal *, doublereal *, 
+	    doublereal *, doublereal *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    integer givcol;
+    extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *);
+    integer icompq;
+    doublereal orgnrm;
+    integer givnum, givptr, qstart, smlsiz, wstart, smlszp;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DBDSDC computes the singular value decomposition (SVD) of a real */
+/*  N-by-N (upper or lower) bidiagonal matrix B:  B = U * S * VT, */
+/*  using a divide and conquer method, where S is a diagonal matrix */
+/*  with non-negative diagonal elements (the singular values of B), and */
+/*  U and VT are orthogonal matrices of left and right singular vectors, */
+/*  respectively. DBDSDC can be used to compute all singular values, */
+/*  and optionally, singular vectors or singular vectors in compact 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 DLASD3 for details. */
+
+/*  The code currently calls DLASDQ if singular values only are desired. */
+/*  However, it can be slightly modified to compute singular values */
+/*  using the divide and conquer method. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          = 'U':  B is upper bidiagonal. */
+/*          = 'L':  B is lower bidiagonal. */
+
+/*  COMPQ   (input) CHARACTER*1 */
+/*          Specifies whether singular vectors are to be computed */
+/*          as follows: */
+/*          = 'N':  Compute singular values only; */
+/*          = 'P':  Compute singular values and compute singular */
+/*                  vectors in compact form; */
+/*          = 'I':  Compute singular values and singular vectors. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix B.  N >= 0. */
+
+/*  D       (input/output) DOUBLE PRECISION array, dimension (N) */
+/*          On entry, the n diagonal elements of the bidiagonal matrix B. */
+/*          On exit, if INFO=0, the singular values of B. */
+
+/*  E       (input/output) DOUBLE PRECISION array, dimension (N-1) */
+/*          On entry, the elements of E contain the offdiagonal */
+/*          elements of the bidiagonal matrix whose SVD is desired. */
+/*          On exit, E has been destroyed. */
+
+/*  U       (output) DOUBLE PRECISION array, dimension (LDU,N) */
+/*          If  COMPQ = 'I', then: */
+/*             On exit, if INFO = 0, U contains the left singular vectors */
+/*             of the bidiagonal matrix. */
+/*          For other values of COMPQ, U is not referenced. */
+
+/*  LDU     (input) INTEGER */
+/*          The leading dimension of the array U.  LDU >= 1. */
+/*          If singular vectors are desired, then LDU >= max( 1, N ). */
+
+/*  VT      (output) DOUBLE PRECISION array, dimension (LDVT,N) */
+/*          If  COMPQ = 'I', then: */
+/*             On exit, if INFO = 0, VT' contains the right singular */
+/*             vectors of the bidiagonal matrix. */
+/*          For other values of COMPQ, VT is not referenced. */
+
+/*  LDVT    (input) INTEGER */
+/*          The leading dimension of the array VT.  LDVT >= 1. */
+/*          If singular vectors are desired, then LDVT >= max( 1, N ). */
+
+/*  Q       (output) DOUBLE PRECISION array, dimension (LDQ) */
+/*          If  COMPQ = 'P', then: */
+/*             On exit, if INFO = 0, Q and IQ contain the left */
+/*             and right singular vectors in a compact form, */
+/*             requiring O(N log N) space instead of 2*N**2. */
+/*             In particular, Q contains all the DOUBLE PRECISION data in */
+/*             LDQ >= N*(11 + 2*SMLSIZ + 8*INT(LOG_2(N/(SMLSIZ+1)))) */
+/*             words of memory, where SMLSIZ is returned by ILAENV and */
+/*             is equal to the maximum size of the subproblems at the */
+/*             bottom of the computation tree (usually about 25). */
+/*          For other values of COMPQ, Q is not referenced. */
+
+/*  IQ      (output) INTEGER array, dimension (LDIQ) */
+/*          If  COMPQ = 'P', then: */
+/*             On exit, if INFO = 0, Q and IQ contain the left */
+/*             and right singular vectors in a compact form, */
+/*             requiring O(N log N) space instead of 2*N**2. */
+/*             In particular, IQ contains all INTEGER data in */
+/*             LDIQ >= N*(3 + 3*INT(LOG_2(N/(SMLSIZ+1)))) */
+/*             words of memory, where SMLSIZ is returned by ILAENV and */
+/*             is equal to the maximum size of the subproblems at the */
+/*             bottom of the computation tree (usually about 25). */
+/*          For other values of COMPQ, IQ is not referenced. */
+
+/*  WORK    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
+/*          If COMPQ = 'N' then LWORK >= (4 * N). */
+/*          If COMPQ = 'P' then LWORK >= (6 * N). */
+/*          If COMPQ = 'I' then LWORK >= (3 * N**2 + 4 * N). */
+
+/*  IWORK   (workspace) INTEGER array, dimension (8*N) */
+
+/*  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 singular value. */
+/*                The update process of divide and conquer failed. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Ming Gu and Huan Ren, Computer Science Division, University of */
+/*     California at Berkeley, USA */
+
+/*  ===================================================================== */
+/*  Changed dimension statement in comment describing E from (N) to */
+/*  (N-1).  Sven, 17 Feb 05. */
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    --d__;
+    --e;
+    u_dim1 = *ldu;
+    u_offset = 1 + u_dim1;
+    u -= u_offset;
+    vt_dim1 = *ldvt;
+    vt_offset = 1 + vt_dim1;
+    vt -= vt_offset;
+    --q;
+    --iq;
+    --work;
+    --iwork;
+
+    /* Function Body */
+    *info = 0;
+
+    iuplo = 0;
+    if (lsame_(uplo, "U")) {
+	iuplo = 1;
+    }
+    if (lsame_(uplo, "L")) {
+	iuplo = 2;
+    }
+    if (lsame_(compq, "N")) {
+	icompq = 0;
+    } else if (lsame_(compq, "P")) {
+	icompq = 1;
+    } else if (lsame_(compq, "I")) {
+	icompq = 2;
+    } else {
+	icompq = -1;
+    }
+    if (iuplo == 0) {
+	*info = -1;
+    } else if (icompq < 0) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*ldu < 1 || icompq == 2 && *ldu < *n) {
+	*info = -7;
+    } else if (*ldvt < 1 || icompq == 2 && *ldvt < *n) {
+	*info = -9;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("DBDSDC", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+    smlsiz = ilaenv_(&c__9, "DBDSDC", " ", &c__0, &c__0, &c__0, &c__0);
+    if (*n == 1) {
+	if (icompq == 1) {
+	    q[1] = d_sign(&c_b15, &d__[1]);
+	    q[smlsiz * *n + 1] = 1.;
+	} else if (icompq == 2) {
+	    u[u_dim1 + 1] = d_sign(&c_b15, &d__[1]);
+	    vt[vt_dim1 + 1] = 1.;
+	}
+	d__[1] = abs(d__[1]);
+	return 0;
+    }
+    nm1 = *n - 1;
+
+/*     If matrix lower bidiagonal, rotate to be upper bidiagonal */
+/*     by applying Givens rotations on the left */
+
+    wstart = 1;
+    qstart = 3;
+    if (icompq == 1) {
+	dcopy_(n, &d__[1], &c__1, &q[1], &c__1);
+	i__1 = *n - 1;
+	dcopy_(&i__1, &e[1], &c__1, &q[*n + 1], &c__1);
+    }
+    if (iuplo == 2) {
+	qstart = 5;
+	wstart = (*n << 1) - 1;
+	i__1 = *n - 1;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    dlartg_(&d__[i__], &e[i__], &cs, &sn, &r__);
+	    d__[i__] = r__;
+	    e[i__] = sn * d__[i__ + 1];
+	    d__[i__ + 1] = cs * d__[i__ + 1];
+	    if (icompq == 1) {
+		q[i__ + (*n << 1)] = cs;
+		q[i__ + *n * 3] = sn;
+	    } else if (icompq == 2) {
+		work[i__] = cs;
+		work[nm1 + i__] = -sn;
+	    }
+/* L10: */
+	}
+    }
+
+/*     If ICOMPQ = 0, use DLASDQ to compute the singular values. */
+
+    if (icompq == 0) {
+	dlasdq_("U", &c__0, n, &c__0, &c__0, &c__0, &d__[1], &e[1], &vt[
+		vt_offset], ldvt, &u[u_offset], ldu, &u[u_offset], ldu, &work[
+		wstart], info);
+	goto L40;
+    }
+
+/*     If N is smaller than the minimum divide size SMLSIZ, then solve */
+/*     the problem with another solver. */
+
+    if (*n <= smlsiz) {
+	if (icompq == 2) {
+	    dlaset_("A", n, n, &c_b29, &c_b15, &u[u_offset], ldu);
+	    dlaset_("A", n, n, &c_b29, &c_b15, &vt[vt_offset], ldvt);
+	    dlasdq_("U", &c__0, n, n, n, &c__0, &d__[1], &e[1], &vt[vt_offset]
+, ldvt, &u[u_offset], ldu, &u[u_offset], ldu, &work[
+		    wstart], info);
+	} else if (icompq == 1) {
+	    iu = 1;
+	    ivt = iu + *n;
+	    dlaset_("A", n, n, &c_b29, &c_b15, &q[iu + (qstart - 1) * *n], n);
+	    dlaset_("A", n, n, &c_b29, &c_b15, &q[ivt + (qstart - 1) * *n], n);
+	    dlasdq_("U", &c__0, n, n, n, &c__0, &d__[1], &e[1], &q[ivt + (
+		    qstart - 1) * *n], n, &q[iu + (qstart - 1) * *n], n, &q[
+		    iu + (qstart - 1) * *n], n, &work[wstart], info);
+	}
+	goto L40;
+    }
+
+    if (icompq == 2) {
+	dlaset_("A", n, n, &c_b29, &c_b15, &u[u_offset], ldu);
+	dlaset_("A", n, n, &c_b29, &c_b15, &vt[vt_offset], ldvt);
+    }
+
+/*     Scale. */
+
+    orgnrm = dlanst_("M", n, &d__[1], &e[1]);
+    if (orgnrm == 0.) {
+	return 0;
+    }
+    dlascl_("G", &c__0, &c__0, &orgnrm, &c_b15, n, &c__1, &d__[1], n, &ierr);
+    dlascl_("G", &c__0, &c__0, &orgnrm, &c_b15, &nm1, &c__1, &e[1], &nm1, &
+	    ierr);
+
+    eps = dlamch_("Epsilon");
+
+    mlvl = (integer) (log((doublereal) (*n) / (doublereal) (smlsiz + 1)) / 
+	    log(2.)) + 1;
+    smlszp = smlsiz + 1;
+
+    if (icompq == 1) {
+	iu = 1;
+	ivt = smlsiz + 1;
+	difl = ivt + smlszp;
+	difr = difl + mlvl;
+	z__ = difr + (mlvl << 1);
+	ic = z__ + mlvl;
+	is = ic + 1;
+	poles = is + 1;
+	givnum = poles + (mlvl << 1);
+
+	k = 1;
+	givptr = 2;
+	perm = 3;
+	givcol = perm + mlvl;
+    }
+
+    i__1 = *n;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	if ((d__1 = d__[i__], abs(d__1)) < eps) {
+	    d__[i__] = d_sign(&eps, &d__[i__]);
+	}
+/* L20: */
+    }
+
+    start = 1;
+    sqre = 0;
+
+    i__1 = nm1;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	if ((d__1 = e[i__], abs(d__1)) < eps || i__ == nm1) {
+
+/*        Subproblem found. First determine its size and then */
+/*        apply divide and conquer on it. */
+
+	    if (i__ < nm1) {
+
+/*        A subproblem with E(I) small for I < NM1. */
+
+		nsize = i__ - start + 1;
+	    } else if ((d__1 = e[i__], abs(d__1)) >= eps) {
+
+/*        A subproblem with E(NM1) not too small but I = NM1. */
+
+		nsize = *n - start + 1;
+	    } else {
+
+/*        A subproblem with E(NM1) small. This implies an */
+/*        1-by-1 subproblem at D(N). Solve this 1-by-1 problem */
+/*        first. */
+
+		nsize = i__ - start + 1;
+		if (icompq == 2) {
+		    u[*n + *n * u_dim1] = d_sign(&c_b15, &d__[*n]);
+		    vt[*n + *n * vt_dim1] = 1.;
+		} else if (icompq == 1) {
+		    q[*n + (qstart - 1) * *n] = d_sign(&c_b15, &d__[*n]);
+		    q[*n + (smlsiz + qstart - 1) * *n] = 1.;
+		}
+		d__[*n] = (d__1 = d__[*n], abs(d__1));
+	    }
+	    if (icompq == 2) {
+		dlasd0_(&nsize, &sqre, &d__[start], &e[start], &u[start + 
+			start * u_dim1], ldu, &vt[start + start * vt_dim1], 
+			ldvt, &smlsiz, &iwork[1], &work[wstart], info);
+	    } else {
+		dlasda_(&icompq, &smlsiz, &nsize, &sqre, &d__[start], &e[
+			start], &q[start + (iu + qstart - 2) * *n], n, &q[
+			start + (ivt + qstart - 2) * *n], &iq[start + k * *n], 
+			 &q[start + (difl + qstart - 2) * *n], &q[start + (
+			difr + qstart - 2) * *n], &q[start + (z__ + qstart - 
+			2) * *n], &q[start + (poles + qstart - 2) * *n], &iq[
+			start + givptr * *n], &iq[start + givcol * *n], n, &
+			iq[start + perm * *n], &q[start + (givnum + qstart - 
+			2) * *n], &q[start + (ic + qstart - 2) * *n], &q[
+			start + (is + qstart - 2) * *n], &work[wstart], &
+			iwork[1], info);
+		if (*info != 0) {
+		    return 0;
+		}
+	    }
+	    start = i__ + 1;
+	}
+/* L30: */
+    }
+
+/*     Unscale */
+
+    dlascl_("G", &c__0, &c__0, &c_b15, &orgnrm, n, &c__1, &d__[1], n, &ierr);
+L40:
+
+/*     Use Selection Sort to minimize swaps of singular vectors */
+
+    i__1 = *n;
+    for (ii = 2; ii <= i__1; ++ii) {
+	i__ = ii - 1;
+	kk = i__;
+	p = d__[i__];
+	i__2 = *n;
+	for (j = ii; j <= i__2; ++j) {
+	    if (d__[j] > p) {
+		kk = j;
+		p = d__[j];
+	    }
+/* L50: */
+	}
+	if (kk != i__) {
+	    d__[kk] = d__[i__];
+	    d__[i__] = p;
+	    if (icompq == 1) {
+		iq[i__] = kk;
+	    } else if (icompq == 2) {
+		dswap_(n, &u[i__ * u_dim1 + 1], &c__1, &u[kk * u_dim1 + 1], &
+			c__1);
+		dswap_(n, &vt[i__ + vt_dim1], ldvt, &vt[kk + vt_dim1], ldvt);
+	    }
+	} else if (icompq == 1) {
+	    iq[i__] = i__;
+	}
+/* L60: */
+    }
+
+/*     If ICOMPQ = 1, use IQ(N,1) as the indicator for UPLO */
+
+    if (icompq == 1) {
+	if (iuplo == 1) {
+	    iq[*n] = 1;
+	} else {
+	    iq[*n] = 0;
+	}
+    }
+
+/*     If B is lower bidiagonal, update U by those Givens rotations */
+/*     which rotated B to be upper bidiagonal */
+
+    if (iuplo == 2 && icompq == 2) {
+	dlasr_("L", "V", "B", n, n, &work[1], &work[*n], &u[u_offset], ldu);
+    }
+
+    return 0;
+
+/*     End of DBDSDC */
+
+} /* dbdsdc_ */