[] add metering mode to CLI

1 files changed, 566 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dgbbrd.c b/contrib/libs/clapack/dgbbrd.c
new file mode 100644
index 0000000000..03e09a7597
--- /dev/null
+++ b/contrib/libs/clapack/dgbbrd.c
@@ -0,0 +1,566 @@
+/* dgbbrd.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 doublereal c_b8 = 0.;
+static doublereal c_b9 = 1.;
+static integer c__1 = 1;
+
+/* Subroutine */ int dgbbrd_(char *vect, integer *m, integer *n, integer *ncc, 
+	 integer *kl, integer *ku, doublereal *ab, integer *ldab, doublereal *
+	d__, doublereal *e, doublereal *q, integer *ldq, doublereal *pt, 
+	integer *ldpt, doublereal *c__, integer *ldc, doublereal *work, 
+	integer *info)
+{
+    /* System generated locals */
+    integer ab_dim1, ab_offset, c_dim1, c_offset, pt_dim1, pt_offset, q_dim1, 
+	    q_offset, i__1, i__2, i__3, i__4, i__5, i__6, i__7;
+
+    /* Local variables */
+    integer i__, j, l, j1, j2, kb;
+    doublereal ra, rb, rc;
+    integer kk, ml, mn, nr, mu;
+    doublereal rs;
+    integer kb1, ml0, mu0, klm, kun, nrt, klu1, inca;
+    extern /* Subroutine */ int drot_(integer *, doublereal *, integer *, 
+	    doublereal *, integer *, doublereal *, doublereal *);
+    extern logical lsame_(char *, char *);
+    logical wantb, wantc;
+    integer minmn;
+    logical wantq;
+    extern /* Subroutine */ int dlaset_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, doublereal *, integer *), 
+	    dlartg_(doublereal *, doublereal *, doublereal *, doublereal *, 
+	    doublereal *), xerbla_(char *, integer *), dlargv_(
+	    integer *, doublereal *, integer *, doublereal *, integer *, 
+	    doublereal *, integer *), dlartv_(integer *, doublereal *, 
+	    integer *, doublereal *, integer *, doublereal *, doublereal *, 
+	    integer *);
+    logical wantpt;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DGBBRD reduces a real general m-by-n band matrix A to upper */
+/*  bidiagonal form B by an orthogonal transformation: Q' * A * P = B. */
+
+/*  The routine computes B, and optionally forms Q or P', or computes */
+/*  Q'*C for a given matrix C. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  VECT    (input) CHARACTER*1 */
+/*          Specifies whether or not the matrices Q and P' are to be */
+/*          formed. */
+/*          = 'N': do not form Q or P'; */
+/*          = 'Q': form Q only; */
+/*          = 'P': form P' only; */
+/*          = 'B': form both. */
+
+/*  M       (input) INTEGER */
+/*          The number of rows of the matrix A.  M >= 0. */
+
+/*  N       (input) INTEGER */
+/*          The number of columns of the matrix A.  N >= 0. */
+
+/*  NCC     (input) INTEGER */
+/*          The number of columns of the matrix C.  NCC >= 0. */
+
+/*  KL      (input) INTEGER */
+/*          The number of subdiagonals of the matrix A. KL >= 0. */
+
+/*  KU      (input) INTEGER */
+/*          The number of superdiagonals of the matrix A. KU >= 0. */
+
+/*  AB      (input/output) DOUBLE PRECISION array, dimension (LDAB,N) */
+/*          On entry, the m-by-n band matrix A, stored in rows 1 to */
+/*          KL+KU+1. The j-th column of A is stored in the j-th column of */
+/*          the array AB as follows: */
+/*          AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl). */
+/*          On exit, A is overwritten by values generated during the */
+/*          reduction. */
+
+/*  LDAB    (input) INTEGER */
+/*          The leading dimension of the array A. LDAB >= KL+KU+1. */
+
+/*  D       (output) DOUBLE PRECISION array, dimension (min(M,N)) */
+/*          The diagonal elements of the bidiagonal matrix B. */
+
+/*  E       (output) DOUBLE PRECISION array, dimension (min(M,N)-1) */
+/*          The superdiagonal elements of the bidiagonal matrix B. */
+
+/*  Q       (output) DOUBLE PRECISION array, dimension (LDQ,M) */
+/*          If VECT = 'Q' or 'B', the m-by-m orthogonal matrix Q. */
+/*          If VECT = 'N' or 'P', the array Q is not referenced. */
+
+/*  LDQ     (input) INTEGER */
+/*          The leading dimension of the array Q. */
+/*          LDQ >= max(1,M) if VECT = 'Q' or 'B'; LDQ >= 1 otherwise. */
+
+/*  PT      (output) DOUBLE PRECISION array, dimension (LDPT,N) */
+/*          If VECT = 'P' or 'B', the n-by-n orthogonal matrix P'. */
+/*          If VECT = 'N' or 'Q', the array PT is not referenced. */
+
+/*  LDPT    (input) INTEGER */
+/*          The leading dimension of the array PT. */
+/*          LDPT >= max(1,N) if VECT = 'P' or 'B'; LDPT >= 1 otherwise. */
+
+/*  C       (input/output) DOUBLE PRECISION array, dimension (LDC,NCC) */
+/*          On entry, an m-by-ncc matrix C. */
+/*          On exit, C is overwritten by Q'*C. */
+/*          C is not referenced if NCC = 0. */
+
+/*  LDC     (input) INTEGER */
+/*          The leading dimension of the array C. */
+/*          LDC >= max(1,M) if NCC > 0; LDC >= 1 if NCC = 0. */
+
+/*  WORK    (workspace) DOUBLE PRECISION array, dimension (2*max(M,N)) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit. */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters */
+
+    /* Parameter adjustments */
+    ab_dim1 = *ldab;
+    ab_offset = 1 + ab_dim1;
+    ab -= ab_offset;
+    --d__;
+    --e;
+    q_dim1 = *ldq;
+    q_offset = 1 + q_dim1;
+    q -= q_offset;
+    pt_dim1 = *ldpt;
+    pt_offset = 1 + pt_dim1;
+    pt -= pt_offset;
+    c_dim1 = *ldc;
+    c_offset = 1 + c_dim1;
+    c__ -= c_offset;
+    --work;
+
+    /* Function Body */
+    wantb = lsame_(vect, "B");
+    wantq = lsame_(vect, "Q") || wantb;
+    wantpt = lsame_(vect, "P") || wantb;
+    wantc = *ncc > 0;
+    klu1 = *kl + *ku + 1;
+    *info = 0;
+    if (! wantq && ! wantpt && ! lsame_(vect, "N")) {
+	*info = -1;
+    } else if (*m < 0) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*ncc < 0) {
+	*info = -4;
+    } else if (*kl < 0) {
+	*info = -5;
+    } else if (*ku < 0) {
+	*info = -6;
+    } else if (*ldab < klu1) {
+	*info = -8;
+    } else if (*ldq < 1 || wantq && *ldq < max(1,*m)) {
+	*info = -12;
+    } else if (*ldpt < 1 || wantpt && *ldpt < max(1,*n)) {
+	*info = -14;
+    } else if (*ldc < 1 || wantc && *ldc < max(1,*m)) {
+	*info = -16;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("DGBBRD", &i__1);
+	return 0;
+    }
+
+/*     Initialize Q and P' to the unit matrix, if needed */
+
+    if (wantq) {
+	dlaset_("Full", m, m, &c_b8, &c_b9, &q[q_offset], ldq);
+    }
+    if (wantpt) {
+	dlaset_("Full", n, n, &c_b8, &c_b9, &pt[pt_offset], ldpt);
+    }
+
+/*     Quick return if possible. */
+
+    if (*m == 0 || *n == 0) {
+	return 0;
+    }
+
+    minmn = min(*m,*n);
+
+    if (*kl + *ku > 1) {
+
+/*        Reduce to upper bidiagonal form if KU > 0; if KU = 0, reduce */
+/*        first to lower bidiagonal form and then transform to upper */
+/*        bidiagonal */
+
+	if (*ku > 0) {
+	    ml0 = 1;
+	    mu0 = 2;
+	} else {
+	    ml0 = 2;
+	    mu0 = 1;
+	}
+
+/*        Wherever possible, plane rotations are generated and applied in */
+/*        vector operations of length NR over the index set J1:J2:KLU1. */
+
+/*        The sines of the plane rotations are stored in WORK(1:max(m,n)) */
+/*        and the cosines in WORK(max(m,n)+1:2*max(m,n)). */
+
+	mn = max(*m,*n);
+/* Computing MIN */
+	i__1 = *m - 1;
+	klm = min(i__1,*kl);
+/* Computing MIN */
+	i__1 = *n - 1;
+	kun = min(i__1,*ku);
+	kb = klm + kun;
+	kb1 = kb + 1;
+	inca = kb1 * *ldab;
+	nr = 0;
+	j1 = klm + 2;
+	j2 = 1 - kun;
+
+	i__1 = minmn;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+
+/*           Reduce i-th column and i-th row of matrix to bidiagonal form */
+
+	    ml = klm + 1;
+	    mu = kun + 1;
+	    i__2 = kb;
+	    for (kk = 1; kk <= i__2; ++kk) {
+		j1 += kb;
+		j2 += kb;
+
+/*              generate plane rotations to annihilate nonzero elements */
+/*              which have been created below the band */
+
+		if (nr > 0) {
+		    dlargv_(&nr, &ab[klu1 + (j1 - klm - 1) * ab_dim1], &inca, 
+			    &work[j1], &kb1, &work[mn + j1], &kb1);
+		}
+
+/*              apply plane rotations from the left */
+
+		i__3 = kb;
+		for (l = 1; l <= i__3; ++l) {
+		    if (j2 - klm + l - 1 > *n) {
+			nrt = nr - 1;
+		    } else {
+			nrt = nr;
+		    }
+		    if (nrt > 0) {
+			dlartv_(&nrt, &ab[klu1 - l + (j1 - klm + l - 1) * 
+				ab_dim1], &inca, &ab[klu1 - l + 1 + (j1 - klm 
+				+ l - 1) * ab_dim1], &inca, &work[mn + j1], &
+				work[j1], &kb1);
+		    }
+/* L10: */
+		}
+
+		if (ml > ml0) {
+		    if (ml <= *m - i__ + 1) {
+
+/*                    generate plane rotation to annihilate a(i+ml-1,i) */
+/*                    within the band, and apply rotation from the left */
+
+			dlartg_(&ab[*ku + ml - 1 + i__ * ab_dim1], &ab[*ku + 
+				ml + i__ * ab_dim1], &work[mn + i__ + ml - 1], 
+				 &work[i__ + ml - 1], &ra);
+			ab[*ku + ml - 1 + i__ * ab_dim1] = ra;
+			if (i__ < *n) {
+/* Computing MIN */
+			    i__4 = *ku + ml - 2, i__5 = *n - i__;
+			    i__3 = min(i__4,i__5);
+			    i__6 = *ldab - 1;
+			    i__7 = *ldab - 1;
+			    drot_(&i__3, &ab[*ku + ml - 2 + (i__ + 1) * 
+				    ab_dim1], &i__6, &ab[*ku + ml - 1 + (i__ 
+				    + 1) * ab_dim1], &i__7, &work[mn + i__ + 
+				    ml - 1], &work[i__ + ml - 1]);
+			}
+		    }
+		    ++nr;
+		    j1 -= kb1;
+		}
+
+		if (wantq) {
+
+/*                 accumulate product of plane rotations in Q */
+
+		    i__3 = j2;
+		    i__4 = kb1;
+		    for (j = j1; i__4 < 0 ? j >= i__3 : j <= i__3; j += i__4) 
+			    {
+			drot_(m, &q[(j - 1) * q_dim1 + 1], &c__1, &q[j * 
+				q_dim1 + 1], &c__1, &work[mn + j], &work[j]);
+/* L20: */
+		    }
+		}
+
+		if (wantc) {
+
+/*                 apply plane rotations to C */
+
+		    i__4 = j2;
+		    i__3 = kb1;
+		    for (j = j1; i__3 < 0 ? j >= i__4 : j <= i__4; j += i__3) 
+			    {
+			drot_(ncc, &c__[j - 1 + c_dim1], ldc, &c__[j + c_dim1]
+, ldc, &work[mn + j], &work[j]);
+/* L30: */
+		    }
+		}
+
+		if (j2 + kun > *n) {
+
+/*                 adjust J2 to keep within the bounds of the matrix */
+
+		    --nr;
+		    j2 -= kb1;
+		}
+
+		i__3 = j2;
+		i__4 = kb1;
+		for (j = j1; i__4 < 0 ? j >= i__3 : j <= i__3; j += i__4) {
+
+/*                 create nonzero element a(j-1,j+ku) above the band */
+/*                 and store it in WORK(n+1:2*n) */
+
+		    work[j + kun] = work[j] * ab[(j + kun) * ab_dim1 + 1];
+		    ab[(j + kun) * ab_dim1 + 1] = work[mn + j] * ab[(j + kun) 
+			    * ab_dim1 + 1];
+/* L40: */
+		}
+
+/*              generate plane rotations to annihilate nonzero elements */
+/*              which have been generated above the band */
+
+		if (nr > 0) {
+		    dlargv_(&nr, &ab[(j1 + kun - 1) * ab_dim1 + 1], &inca, &
+			    work[j1 + kun], &kb1, &work[mn + j1 + kun], &kb1);
+		}
+
+/*              apply plane rotations from the right */
+
+		i__4 = kb;
+		for (l = 1; l <= i__4; ++l) {
+		    if (j2 + l - 1 > *m) {
+			nrt = nr - 1;
+		    } else {
+			nrt = nr;
+		    }
+		    if (nrt > 0) {
+			dlartv_(&nrt, &ab[l + 1 + (j1 + kun - 1) * ab_dim1], &
+				inca, &ab[l + (j1 + kun) * ab_dim1], &inca, &
+				work[mn + j1 + kun], &work[j1 + kun], &kb1);
+		    }
+/* L50: */
+		}
+
+		if (ml == ml0 && mu > mu0) {
+		    if (mu <= *n - i__ + 1) {
+
+/*                    generate plane rotation to annihilate a(i,i+mu-1) */
+/*                    within the band, and apply rotation from the right */
+
+			dlartg_(&ab[*ku - mu + 3 + (i__ + mu - 2) * ab_dim1], 
+				&ab[*ku - mu + 2 + (i__ + mu - 1) * ab_dim1], 
+				&work[mn + i__ + mu - 1], &work[i__ + mu - 1], 
+				 &ra);
+			ab[*ku - mu + 3 + (i__ + mu - 2) * ab_dim1] = ra;
+/* Computing MIN */
+			i__3 = *kl + mu - 2, i__5 = *m - i__;
+			i__4 = min(i__3,i__5);
+			drot_(&i__4, &ab[*ku - mu + 4 + (i__ + mu - 2) * 
+				ab_dim1], &c__1, &ab[*ku - mu + 3 + (i__ + mu 
+				- 1) * ab_dim1], &c__1, &work[mn + i__ + mu - 
+				1], &work[i__ + mu - 1]);
+		    }
+		    ++nr;
+		    j1 -= kb1;
+		}
+
+		if (wantpt) {
+
+/*                 accumulate product of plane rotations in P' */
+
+		    i__4 = j2;
+		    i__3 = kb1;
+		    for (j = j1; i__3 < 0 ? j >= i__4 : j <= i__4; j += i__3) 
+			    {
+			drot_(n, &pt[j + kun - 1 + pt_dim1], ldpt, &pt[j + 
+				kun + pt_dim1], ldpt, &work[mn + j + kun], &
+				work[j + kun]);
+/* L60: */
+		    }
+		}
+
+		if (j2 + kb > *m) {
+
+/*                 adjust J2 to keep within the bounds of the matrix */
+
+		    --nr;
+		    j2 -= kb1;
+		}
+
+		i__3 = j2;
+		i__4 = kb1;
+		for (j = j1; i__4 < 0 ? j >= i__3 : j <= i__3; j += i__4) {
+
+/*                 create nonzero element a(j+kl+ku,j+ku-1) below the */
+/*                 band and store it in WORK(1:n) */
+
+		    work[j + kb] = work[j + kun] * ab[klu1 + (j + kun) * 
+			    ab_dim1];
+		    ab[klu1 + (j + kun) * ab_dim1] = work[mn + j + kun] * ab[
+			    klu1 + (j + kun) * ab_dim1];
+/* L70: */
+		}
+
+		if (ml > ml0) {
+		    --ml;
+		} else {
+		    --mu;
+		}
+/* L80: */
+	    }
+/* L90: */
+	}
+    }
+
+    if (*ku == 0 && *kl > 0) {
+
+/*        A has been reduced to lower bidiagonal form */
+
+/*        Transform lower bidiagonal form to upper bidiagonal by applying */
+/*        plane rotations from the left, storing diagonal elements in D */
+/*        and off-diagonal elements in E */
+
+/* Computing MIN */
+	i__2 = *m - 1;
+	i__1 = min(i__2,*n);
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    dlartg_(&ab[i__ * ab_dim1 + 1], &ab[i__ * ab_dim1 + 2], &rc, &rs, 
+		    &ra);
+	    d__[i__] = ra;
+	    if (i__ < *n) {
+		e[i__] = rs * ab[(i__ + 1) * ab_dim1 + 1];
+		ab[(i__ + 1) * ab_dim1 + 1] = rc * ab[(i__ + 1) * ab_dim1 + 1]
+			;
+	    }
+	    if (wantq) {
+		drot_(m, &q[i__ * q_dim1 + 1], &c__1, &q[(i__ + 1) * q_dim1 + 
+			1], &c__1, &rc, &rs);
+	    }
+	    if (wantc) {
+		drot_(ncc, &c__[i__ + c_dim1], ldc, &c__[i__ + 1 + c_dim1], 
+			ldc, &rc, &rs);
+	    }
+/* L100: */
+	}
+	if (*m <= *n) {
+	    d__[*m] = ab[*m * ab_dim1 + 1];
+	}
+    } else if (*ku > 0) {
+
+/*        A has been reduced to upper bidiagonal form */
+
+	if (*m < *n) {
+
+/*           Annihilate a(m,m+1) by applying plane rotations from the */
+/*           right, storing diagonal elements in D and off-diagonal */
+/*           elements in E */
+
+	    rb = ab[*ku + (*m + 1) * ab_dim1];
+	    for (i__ = *m; i__ >= 1; --i__) {
+		dlartg_(&ab[*ku + 1 + i__ * ab_dim1], &rb, &rc, &rs, &ra);
+		d__[i__] = ra;
+		if (i__ > 1) {
+		    rb = -rs * ab[*ku + i__ * ab_dim1];
+		    e[i__ - 1] = rc * ab[*ku + i__ * ab_dim1];
+		}
+		if (wantpt) {
+		    drot_(n, &pt[i__ + pt_dim1], ldpt, &pt[*m + 1 + pt_dim1], 
+			    ldpt, &rc, &rs);
+		}
+/* L110: */
+	    }
+	} else {
+
+/*           Copy off-diagonal elements to E and diagonal elements to D */
+
+	    i__1 = minmn - 1;
+	    for (i__ = 1; i__ <= i__1; ++i__) {
+		e[i__] = ab[*ku + (i__ + 1) * ab_dim1];
+/* L120: */
+	    }
+	    i__1 = minmn;
+	    for (i__ = 1; i__ <= i__1; ++i__) {
+		d__[i__] = ab[*ku + 1 + i__ * ab_dim1];
+/* L130: */
+	    }
+	}
+    } else {
+
+/*        A is diagonal. Set elements of E to zero and copy diagonal */
+/*        elements to D. */
+
+	i__1 = minmn - 1;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    e[i__] = 0.;
+/* L140: */
+	}
+	i__1 = minmn;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    d__[i__] = ab[i__ * ab_dim1 + 1];
+/* L150: */
+	}
+    }
+    return 0;
+
+/*     End of DGBBRD */
+
+} /* dgbbrd_ */