[] add metering mode to CLI

1 files changed, 345 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dlaqps.c b/contrib/libs/clapack/dlaqps.c
new file mode 100644
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--- /dev/null
+++ b/contrib/libs/clapack/dlaqps.c
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+/* dlaqps.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__1 = 1;
+static doublereal c_b8 = -1.;
+static doublereal c_b9 = 1.;
+static doublereal c_b16 = 0.;
+
+/* Subroutine */ int dlaqps_(integer *m, integer *n, integer *offset, integer 
+	*nb, integer *kb, doublereal *a, integer *lda, integer *jpvt, 
+	doublereal *tau, doublereal *vn1, doublereal *vn2, doublereal *auxv, 
+	doublereal *f, integer *ldf)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, f_dim1, f_offset, i__1, i__2;
+    doublereal d__1, d__2;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+    integer i_dnnt(doublereal *);
+
+    /* Local variables */
+    integer j, k, rk;
+    doublereal akk;
+    integer pvt;
+    doublereal temp;
+    extern doublereal dnrm2_(integer *, doublereal *, integer *);
+    doublereal temp2, tol3z;
+    extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
+	    integer *, doublereal *, doublereal *, integer *),
+	     dgemv_(char *, integer *, integer *, doublereal *, doublereal *, 
+	    integer *, doublereal *, integer *, doublereal *, doublereal *, 
+	    integer *);
+    integer itemp;
+    extern /* Subroutine */ int dswap_(integer *, doublereal *, integer *, 
+	    doublereal *, integer *);
+    extern doublereal dlamch_(char *);
+    extern integer idamax_(integer *, doublereal *, integer *);
+    extern /* Subroutine */ int dlarfp_(integer *, doublereal *, doublereal *, 
+	     integer *, doublereal *);
+    integer lsticc, lastrk;
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DLAQPS computes a step of QR factorization with column pivoting */
+/*  of a real M-by-N matrix A by using Blas-3.  It tries to factorize */
+/*  NB columns from A starting from the row OFFSET+1, and updates all */
+/*  of the matrix with Blas-3 xGEMM. */
+
+/*  In some cases, due to catastrophic cancellations, it cannot */
+/*  factorize NB columns.  Hence, the actual number of factorized */
+/*  columns is returned in KB. */
+
+/*  Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  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 */
+
+/*  OFFSET  (input) INTEGER */
+/*          The number of rows of A that have been factorized in */
+/*          previous steps. */
+
+/*  NB      (input) INTEGER */
+/*          The number of columns to factorize. */
+
+/*  KB      (output) INTEGER */
+/*          The number of columns actually factorized. */
+
+/*  A       (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
+/*          On entry, the M-by-N matrix A. */
+/*          On exit, block A(OFFSET+1:M,1:KB) is the triangular */
+/*          factor obtained and block A(1:OFFSET,1:N) has been */
+/*          accordingly pivoted, but no factorized. */
+/*          The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has */
+/*          been updated. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A. LDA >= max(1,M). */
+
+/*  JPVT    (input/output) INTEGER array, dimension (N) */
+/*          JPVT(I) = K <==> Column K of the full matrix A has been */
+/*          permuted into position I in AP. */
+
+/*  TAU     (output) DOUBLE PRECISION array, dimension (KB) */
+/*          The scalar factors of the elementary reflectors. */
+
+/*  VN1     (input/output) DOUBLE PRECISION array, dimension (N) */
+/*          The vector with the partial column norms. */
+
+/*  VN2     (input/output) DOUBLE PRECISION array, dimension (N) */
+/*          The vector with the exact column norms. */
+
+/*  AUXV    (input/output) DOUBLE PRECISION array, dimension (NB) */
+/*          Auxiliar vector. */
+
+/*  F       (input/output) DOUBLE PRECISION array, dimension (LDF,NB) */
+/*          Matrix F' = L*Y'*A. */
+
+/*  LDF     (input) INTEGER */
+/*          The leading dimension of the array F. LDF >= max(1,N). */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*    G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain */
+/*    X. Sun, Computer Science Dept., Duke University, USA */
+
+/*  Partial column norm updating strategy modified by */
+/*    Z. Drmac and Z. Bujanovic, Dept. of Mathematics, */
+/*    University of Zagreb, Croatia. */
+/*    June 2006. */
+/*  For more details see LAPACK Working Note 176. */
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --jpvt;
+    --tau;
+    --vn1;
+    --vn2;
+    --auxv;
+    f_dim1 = *ldf;
+    f_offset = 1 + f_dim1;
+    f -= f_offset;
+
+    /* Function Body */
+/* Computing MIN */
+    i__1 = *m, i__2 = *n + *offset;
+    lastrk = min(i__1,i__2);
+    lsticc = 0;
+    k = 0;
+    tol3z = sqrt(dlamch_("Epsilon"));
+
+/*     Beginning of while loop. */
+
+L10:
+    if (k < *nb && lsticc == 0) {
+	++k;
+	rk = *offset + k;
+
+/*        Determine ith pivot column and swap if necessary */
+
+	i__1 = *n - k + 1;
+	pvt = k - 1 + idamax_(&i__1, &vn1[k], &c__1);
+	if (pvt != k) {
+	    dswap_(m, &a[pvt * a_dim1 + 1], &c__1, &a[k * a_dim1 + 1], &c__1);
+	    i__1 = k - 1;
+	    dswap_(&i__1, &f[pvt + f_dim1], ldf, &f[k + f_dim1], ldf);
+	    itemp = jpvt[pvt];
+	    jpvt[pvt] = jpvt[k];
+	    jpvt[k] = itemp;
+	    vn1[pvt] = vn1[k];
+	    vn2[pvt] = vn2[k];
+	}
+
+/*        Apply previous Householder reflectors to column K: */
+/*        A(RK:M,K) := A(RK:M,K) - A(RK:M,1:K-1)*F(K,1:K-1)'. */
+
+	if (k > 1) {
+	    i__1 = *m - rk + 1;
+	    i__2 = k - 1;
+	    dgemv_("No transpose", &i__1, &i__2, &c_b8, &a[rk + a_dim1], lda, 
+		    &f[k + f_dim1], ldf, &c_b9, &a[rk + k * a_dim1], &c__1);
+	}
+
+/*        Generate elementary reflector H(k). */
+
+	if (rk < *m) {
+	    i__1 = *m - rk + 1;
+	    dlarfp_(&i__1, &a[rk + k * a_dim1], &a[rk + 1 + k * a_dim1], &
+		    c__1, &tau[k]);
+	} else {
+	    dlarfp_(&c__1, &a[rk + k * a_dim1], &a[rk + k * a_dim1], &c__1, &
+		    tau[k]);
+	}
+
+	akk = a[rk + k * a_dim1];
+	a[rk + k * a_dim1] = 1.;
+
+/*        Compute Kth column of F: */
+
+/*        Compute  F(K+1:N,K) := tau(K)*A(RK:M,K+1:N)'*A(RK:M,K). */
+
+	if (k < *n) {
+	    i__1 = *m - rk + 1;
+	    i__2 = *n - k;
+	    dgemv_("Transpose", &i__1, &i__2, &tau[k], &a[rk + (k + 1) * 
+		    a_dim1], lda, &a[rk + k * a_dim1], &c__1, &c_b16, &f[k + 
+		    1 + k * f_dim1], &c__1);
+	}
+
+/*        Padding F(1:K,K) with zeros. */
+
+	i__1 = k;
+	for (j = 1; j <= i__1; ++j) {
+	    f[j + k * f_dim1] = 0.;
+/* L20: */
+	}
+
+/*        Incremental updating of F: */
+/*        F(1:N,K) := F(1:N,K) - tau(K)*F(1:N,1:K-1)*A(RK:M,1:K-1)' */
+/*                    *A(RK:M,K). */
+
+	if (k > 1) {
+	    i__1 = *m - rk + 1;
+	    i__2 = k - 1;
+	    d__1 = -tau[k];
+	    dgemv_("Transpose", &i__1, &i__2, &d__1, &a[rk + a_dim1], lda, &a[
+		    rk + k * a_dim1], &c__1, &c_b16, &auxv[1], &c__1);
+
+	    i__1 = k - 1;
+	    dgemv_("No transpose", n, &i__1, &c_b9, &f[f_dim1 + 1], ldf, &
+		    auxv[1], &c__1, &c_b9, &f[k * f_dim1 + 1], &c__1);
+	}
+
+/*        Update the current row of A: */
+/*        A(RK,K+1:N) := A(RK,K+1:N) - A(RK,1:K)*F(K+1:N,1:K)'. */
+
+	if (k < *n) {
+	    i__1 = *n - k;
+	    dgemv_("No transpose", &i__1, &k, &c_b8, &f[k + 1 + f_dim1], ldf, 
+		    &a[rk + a_dim1], lda, &c_b9, &a[rk + (k + 1) * a_dim1], 
+		    lda);
+	}
+
+/*        Update partial column norms. */
+
+	if (rk < lastrk) {
+	    i__1 = *n;
+	    for (j = k + 1; j <= i__1; ++j) {
+		if (vn1[j] != 0.) {
+
+/*                 NOTE: The following 4 lines follow from the analysis in */
+/*                 Lapack Working Note 176. */
+
+		    temp = (d__1 = a[rk + j * a_dim1], abs(d__1)) / vn1[j];
+/* Computing MAX */
+		    d__1 = 0., d__2 = (temp + 1.) * (1. - temp);
+		    temp = max(d__1,d__2);
+/* Computing 2nd power */
+		    d__1 = vn1[j] / vn2[j];
+		    temp2 = temp * (d__1 * d__1);
+		    if (temp2 <= tol3z) {
+			vn2[j] = (doublereal) lsticc;
+			lsticc = j;
+		    } else {
+			vn1[j] *= sqrt(temp);
+		    }
+		}
+/* L30: */
+	    }
+	}
+
+	a[rk + k * a_dim1] = akk;
+
+/*        End of while loop. */
+
+	goto L10;
+    }
+    *kb = k;
+    rk = *offset + *kb;
+
+/*     Apply the block reflector to the rest of the matrix: */
+/*     A(OFFSET+KB+1:M,KB+1:N) := A(OFFSET+KB+1:M,KB+1:N) - */
+/*                         A(OFFSET+KB+1:M,1:KB)*F(KB+1:N,1:KB)'. */
+
+/* Computing MIN */
+    i__1 = *n, i__2 = *m - *offset;
+    if (*kb < min(i__1,i__2)) {
+	i__1 = *m - rk;
+	i__2 = *n - *kb;
+	dgemm_("No transpose", "Transpose", &i__1, &i__2, kb, &c_b8, &a[rk + 
+		1 + a_dim1], lda, &f[*kb + 1 + f_dim1], ldf, &c_b9, &a[rk + 1 
+		+ (*kb + 1) * a_dim1], lda);
+    }
+
+/*     Recomputation of difficult columns. */
+
+L40:
+    if (lsticc > 0) {
+	itemp = i_dnnt(&vn2[lsticc]);
+	i__1 = *m - rk;
+	vn1[lsticc] = dnrm2_(&i__1, &a[rk + 1 + lsticc * a_dim1], &c__1);
+
+/*        NOTE: The computation of VN1( LSTICC ) relies on the fact that */
+/*        SNRM2 does not fail on vectors with norm below the value of */
+/*        SQRT(DLAMCH('S')) */
+
+	vn2[lsticc] = vn1[lsticc];
+	lsticc = itemp;
+	goto L40;
+    }
+
+    return 0;
+
+/*     End of DLAQPS */
+
+} /* dlaqps_ */