[] add metering mode to CLI

1 files changed, 432 insertions, 0 deletions

diff --git a/contrib/libs/clapack/slabrd.c b/contrib/libs/clapack/slabrd.c
new file mode 100644
index 0000000000..1f2481908f
--- /dev/null
+++ b/contrib/libs/clapack/slabrd.c
@@ -0,0 +1,432 @@
+/* slabrd.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 real c_b4 = -1.f;
+static real c_b5 = 1.f;
+static integer c__1 = 1;
+static real c_b16 = 0.f;
+
+/* Subroutine */ int slabrd_(integer *m, integer *n, integer *nb, real *a, 
+	integer *lda, real *d__, real *e, real *tauq, real *taup, real *x, 
+	integer *ldx, real *y, integer *ldy)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, x_dim1, x_offset, y_dim1, y_offset, i__1, i__2, 
+	    i__3;
+
+    /* Local variables */
+    integer i__;
+    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *), 
+	    sgemv_(char *, integer *, integer *, real *, real *, integer *, 
+	    real *, integer *, real *, real *, integer *), slarfg_(
+	    integer *, real *, real *, integer *, real *);
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  SLABRD reduces the first NB rows and columns of a real general */
+/*  m by n matrix A to upper or lower bidiagonal form by an orthogonal */
+/*  transformation Q' * A * P, and returns the matrices X and Y which */
+/*  are needed to apply the transformation to the unreduced part of A. */
+
+/*  If m >= n, A is reduced to upper bidiagonal form; if m < n, to lower */
+/*  bidiagonal form. */
+
+/*  This is an auxiliary routine called by SGEBRD */
+
+/*  Arguments */
+/*  ========= */
+
+/*  M       (input) INTEGER */
+/*          The number of rows in the matrix A. */
+
+/*  N       (input) INTEGER */
+/*          The number of columns in the matrix A. */
+
+/*  NB      (input) INTEGER */
+/*          The number of leading rows and columns of A to be reduced. */
+
+/*  A       (input/output) REAL array, dimension (LDA,N) */
+/*          On entry, the m by n general matrix to be reduced. */
+/*          On exit, the first NB rows and columns of the matrix are */
+/*          overwritten; the rest of the array is unchanged. */
+/*          If m >= n, elements on and below the diagonal in the first NB */
+/*            columns, with the array TAUQ, represent the orthogonal */
+/*            matrix Q as a product of elementary reflectors; and */
+/*            elements above the diagonal in the first NB rows, with the */
+/*            array TAUP, represent the orthogonal matrix P as a product */
+/*            of elementary reflectors. */
+/*          If m < n, elements below the diagonal in the first NB */
+/*            columns, with the array TAUQ, represent the orthogonal */
+/*            matrix Q as a product of elementary reflectors, and */
+/*            elements on and above the diagonal in the first NB rows, */
+/*            with the array TAUP, represent the orthogonal matrix P as */
+/*            a product of elementary reflectors. */
+/*          See Further Details. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,M). */
+
+/*  D       (output) REAL array, dimension (NB) */
+/*          The diagonal elements of the first NB rows and columns of */
+/*          the reduced matrix.  D(i) = A(i,i). */
+
+/*  E       (output) REAL array, dimension (NB) */
+/*          The off-diagonal elements of the first NB rows and columns of */
+/*          the reduced matrix. */
+
+/*  TAUQ    (output) REAL array dimension (NB) */
+/*          The scalar factors of the elementary reflectors which */
+/*          represent the orthogonal matrix Q. See Further Details. */
+
+/*  TAUP    (output) REAL array, dimension (NB) */
+/*          The scalar factors of the elementary reflectors which */
+/*          represent the orthogonal matrix P. See Further Details. */
+
+/*  X       (output) REAL array, dimension (LDX,NB) */
+/*          The m-by-nb matrix X required to update the unreduced part */
+/*          of A. */
+
+/*  LDX     (input) INTEGER */
+/*          The leading dimension of the array X. LDX >= M. */
+
+/*  Y       (output) REAL array, dimension (LDY,NB) */
+/*          The n-by-nb matrix Y required to update the unreduced part */
+/*          of A. */
+
+/*  LDY     (input) INTEGER */
+/*          The leading dimension of the array Y. LDY >= N. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  The matrices Q and P are represented as products of elementary */
+/*  reflectors: */
+
+/*     Q = H(1) H(2) . . . H(nb)  and  P = G(1) G(2) . . . G(nb) */
+
+/*  Each H(i) and G(i) has the form: */
+
+/*     H(i) = I - tauq * v * v'  and G(i) = I - taup * u * u' */
+
+/*  where tauq and taup are real scalars, and v and u are real vectors. */
+
+/*  If m >= n, v(1:i-1) = 0, v(i) = 1, and v(i:m) is stored on exit in */
+/*  A(i:m,i); u(1:i) = 0, u(i+1) = 1, and u(i+1:n) is stored on exit in */
+/*  A(i,i+1:n); tauq is stored in TAUQ(i) and taup in TAUP(i). */
+
+/*  If m < n, v(1:i) = 0, v(i+1) = 1, and v(i+1:m) is stored on exit in */
+/*  A(i+2:m,i); u(1:i-1) = 0, u(i) = 1, and u(i:n) is stored on exit in */
+/*  A(i,i+1:n); tauq is stored in TAUQ(i) and taup in TAUP(i). */
+
+/*  The elements of the vectors v and u together form the m-by-nb matrix */
+/*  V and the nb-by-n matrix U' which are needed, with X and Y, to apply */
+/*  the transformation to the unreduced part of the matrix, using a block */
+/*  update of the form:  A := A - V*Y' - X*U'. */
+
+/*  The contents of A on exit are illustrated by the following examples */
+/*  with nb = 2: */
+
+/*  m = 6 and n = 5 (m > n):          m = 5 and n = 6 (m < n): */
+
+/*    (  1   1   u1  u1  u1 )           (  1   u1  u1  u1  u1  u1 ) */
+/*    (  v1  1   1   u2  u2 )           (  1   1   u2  u2  u2  u2 ) */
+/*    (  v1  v2  a   a   a  )           (  v1  1   a   a   a   a  ) */
+/*    (  v1  v2  a   a   a  )           (  v1  v2  a   a   a   a  ) */
+/*    (  v1  v2  a   a   a  )           (  v1  v2  a   a   a   a  ) */
+/*    (  v1  v2  a   a   a  ) */
+
+/*  where a denotes an element of the original matrix which is unchanged, */
+/*  vi denotes an element of the vector defining H(i), and ui an element */
+/*  of the vector defining G(i). */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Quick return if possible */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --d__;
+    --e;
+    --tauq;
+    --taup;
+    x_dim1 = *ldx;
+    x_offset = 1 + x_dim1;
+    x -= x_offset;
+    y_dim1 = *ldy;
+    y_offset = 1 + y_dim1;
+    y -= y_offset;
+
+    /* Function Body */
+    if (*m <= 0 || *n <= 0) {
+	return 0;
+    }
+
+    if (*m >= *n) {
+
+/*        Reduce to upper bidiagonal form */
+
+	i__1 = *nb;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+
+/*           Update A(i:m,i) */
+
+	    i__2 = *m - i__ + 1;
+	    i__3 = i__ - 1;
+	    sgemv_("No transpose", &i__2, &i__3, &c_b4, &a[i__ + a_dim1], lda, 
+		     &y[i__ + y_dim1], ldy, &c_b5, &a[i__ + i__ * a_dim1], &
+		    c__1);
+	    i__2 = *m - i__ + 1;
+	    i__3 = i__ - 1;
+	    sgemv_("No transpose", &i__2, &i__3, &c_b4, &x[i__ + x_dim1], ldx, 
+		     &a[i__ * a_dim1 + 1], &c__1, &c_b5, &a[i__ + i__ * 
+		    a_dim1], &c__1);
+
+/*           Generate reflection Q(i) to annihilate A(i+1:m,i) */
+
+	    i__2 = *m - i__ + 1;
+/* Computing MIN */
+	    i__3 = i__ + 1;
+	    slarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[min(i__3, *m)+ i__ * 
+		    a_dim1], &c__1, &tauq[i__]);
+	    d__[i__] = a[i__ + i__ * a_dim1];
+	    if (i__ < *n) {
+		a[i__ + i__ * a_dim1] = 1.f;
+
+/*              Compute Y(i+1:n,i) */
+
+		i__2 = *m - i__ + 1;
+		i__3 = *n - i__;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &a[i__ + (i__ + 1) * 
+			a_dim1], lda, &a[i__ + i__ * a_dim1], &c__1, &c_b16, &
+			y[i__ + 1 + i__ * y_dim1], &c__1);
+		i__2 = *m - i__ + 1;
+		i__3 = i__ - 1;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &a[i__ + a_dim1], 
+			lda, &a[i__ + i__ * a_dim1], &c__1, &c_b16, &y[i__ * 
+			y_dim1 + 1], &c__1);
+		i__2 = *n - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &y[i__ + 1 + 
+			y_dim1], ldy, &y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[
+			i__ + 1 + i__ * y_dim1], &c__1);
+		i__2 = *m - i__ + 1;
+		i__3 = i__ - 1;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &x[i__ + x_dim1], 
+			ldx, &a[i__ + i__ * a_dim1], &c__1, &c_b16, &y[i__ * 
+			y_dim1 + 1], &c__1);
+		i__2 = i__ - 1;
+		i__3 = *n - i__;
+		sgemv_("Transpose", &i__2, &i__3, &c_b4, &a[(i__ + 1) * 
+			a_dim1 + 1], lda, &y[i__ * y_dim1 + 1], &c__1, &c_b5, 
+			&y[i__ + 1 + i__ * y_dim1], &c__1);
+		i__2 = *n - i__;
+		sscal_(&i__2, &tauq[i__], &y[i__ + 1 + i__ * y_dim1], &c__1);
+
+/*              Update A(i,i+1:n) */
+
+		i__2 = *n - i__;
+		sgemv_("No transpose", &i__2, &i__, &c_b4, &y[i__ + 1 + 
+			y_dim1], ldy, &a[i__ + a_dim1], lda, &c_b5, &a[i__ + (
+			i__ + 1) * a_dim1], lda);
+		i__2 = i__ - 1;
+		i__3 = *n - i__;
+		sgemv_("Transpose", &i__2, &i__3, &c_b4, &a[(i__ + 1) * 
+			a_dim1 + 1], lda, &x[i__ + x_dim1], ldx, &c_b5, &a[
+			i__ + (i__ + 1) * a_dim1], lda);
+
+/*              Generate reflection P(i) to annihilate A(i,i+2:n) */
+
+		i__2 = *n - i__;
+/* Computing MIN */
+		i__3 = i__ + 2;
+		slarfg_(&i__2, &a[i__ + (i__ + 1) * a_dim1], &a[i__ + min(
+			i__3, *n)* a_dim1], lda, &taup[i__]);
+		e[i__] = a[i__ + (i__ + 1) * a_dim1];
+		a[i__ + (i__ + 1) * a_dim1] = 1.f;
+
+/*              Compute X(i+1:m,i) */
+
+		i__2 = *m - i__;
+		i__3 = *n - i__;
+		sgemv_("No transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ 
+			+ 1) * a_dim1], lda, &a[i__ + (i__ + 1) * a_dim1], 
+			lda, &c_b16, &x[i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = *n - i__;
+		sgemv_("Transpose", &i__2, &i__, &c_b5, &y[i__ + 1 + y_dim1], 
+			ldy, &a[i__ + (i__ + 1) * a_dim1], lda, &c_b16, &x[
+			i__ * x_dim1 + 1], &c__1);
+		i__2 = *m - i__;
+		sgemv_("No transpose", &i__2, &i__, &c_b4, &a[i__ + 1 + 
+			a_dim1], lda, &x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[
+			i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = i__ - 1;
+		i__3 = *n - i__;
+		sgemv_("No transpose", &i__2, &i__3, &c_b5, &a[(i__ + 1) * 
+			a_dim1 + 1], lda, &a[i__ + (i__ + 1) * a_dim1], lda, &
+			c_b16, &x[i__ * x_dim1 + 1], &c__1);
+		i__2 = *m - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &x[i__ + 1 + 
+			x_dim1], ldx, &x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[
+			i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = *m - i__;
+		sscal_(&i__2, &taup[i__], &x[i__ + 1 + i__ * x_dim1], &c__1);
+	    }
+/* L10: */
+	}
+    } else {
+
+/*        Reduce to lower bidiagonal form */
+
+	i__1 = *nb;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+
+/*           Update A(i,i:n) */
+
+	    i__2 = *n - i__ + 1;
+	    i__3 = i__ - 1;
+	    sgemv_("No transpose", &i__2, &i__3, &c_b4, &y[i__ + y_dim1], ldy, 
+		     &a[i__ + a_dim1], lda, &c_b5, &a[i__ + i__ * a_dim1], 
+		    lda);
+	    i__2 = i__ - 1;
+	    i__3 = *n - i__ + 1;
+	    sgemv_("Transpose", &i__2, &i__3, &c_b4, &a[i__ * a_dim1 + 1], 
+		    lda, &x[i__ + x_dim1], ldx, &c_b5, &a[i__ + i__ * a_dim1], 
+		     lda);
+
+/*           Generate reflection P(i) to annihilate A(i,i+1:n) */
+
+	    i__2 = *n - i__ + 1;
+/* Computing MIN */
+	    i__3 = i__ + 1;
+	    slarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[i__ + min(i__3, *n)* 
+		    a_dim1], lda, &taup[i__]);
+	    d__[i__] = a[i__ + i__ * a_dim1];
+	    if (i__ < *m) {
+		a[i__ + i__ * a_dim1] = 1.f;
+
+/*              Compute X(i+1:m,i) */
+
+		i__2 = *m - i__;
+		i__3 = *n - i__ + 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + i__ *
+			 a_dim1], lda, &a[i__ + i__ * a_dim1], lda, &c_b16, &
+			x[i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = *n - i__ + 1;
+		i__3 = i__ - 1;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &y[i__ + y_dim1], 
+			ldy, &a[i__ + i__ * a_dim1], lda, &c_b16, &x[i__ * 
+			x_dim1 + 1], &c__1);
+		i__2 = *m - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &a[i__ + 1 + 
+			a_dim1], lda, &x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[
+			i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = i__ - 1;
+		i__3 = *n - i__ + 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b5, &a[i__ * a_dim1 + 
+			1], lda, &a[i__ + i__ * a_dim1], lda, &c_b16, &x[i__ *
+			 x_dim1 + 1], &c__1);
+		i__2 = *m - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &x[i__ + 1 + 
+			x_dim1], ldx, &x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[
+			i__ + 1 + i__ * x_dim1], &c__1);
+		i__2 = *m - i__;
+		sscal_(&i__2, &taup[i__], &x[i__ + 1 + i__ * x_dim1], &c__1);
+
+/*              Update A(i+1:m,i) */
+
+		i__2 = *m - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &a[i__ + 1 + 
+			a_dim1], lda, &y[i__ + y_dim1], ldy, &c_b5, &a[i__ + 
+			1 + i__ * a_dim1], &c__1);
+		i__2 = *m - i__;
+		sgemv_("No transpose", &i__2, &i__, &c_b4, &x[i__ + 1 + 
+			x_dim1], ldx, &a[i__ * a_dim1 + 1], &c__1, &c_b5, &a[
+			i__ + 1 + i__ * a_dim1], &c__1);
+
+/*              Generate reflection Q(i) to annihilate A(i+2:m,i) */
+
+		i__2 = *m - i__;
+/* Computing MIN */
+		i__3 = i__ + 2;
+		slarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *m)+ 
+			i__ * a_dim1], &c__1, &tauq[i__]);
+		e[i__] = a[i__ + 1 + i__ * a_dim1];
+		a[i__ + 1 + i__ * a_dim1] = 1.f;
+
+/*              Compute Y(i+1:n,i) */
+
+		i__2 = *m - i__;
+		i__3 = *n - i__;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ + 
+			1) * a_dim1], lda, &a[i__ + 1 + i__ * a_dim1], &c__1, 
+			&c_b16, &y[i__ + 1 + i__ * y_dim1], &c__1);
+		i__2 = *m - i__;
+		i__3 = i__ - 1;
+		sgemv_("Transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + a_dim1], 
+			 lda, &a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &y[
+			i__ * y_dim1 + 1], &c__1);
+		i__2 = *n - i__;
+		i__3 = i__ - 1;
+		sgemv_("No transpose", &i__2, &i__3, &c_b4, &y[i__ + 1 + 
+			y_dim1], ldy, &y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[
+			i__ + 1 + i__ * y_dim1], &c__1);
+		i__2 = *m - i__;
+		sgemv_("Transpose", &i__2, &i__, &c_b5, &x[i__ + 1 + x_dim1], 
+			ldx, &a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &y[
+			i__ * y_dim1 + 1], &c__1);
+		i__2 = *n - i__;
+		sgemv_("Transpose", &i__, &i__2, &c_b4, &a[(i__ + 1) * a_dim1 
+			+ 1], lda, &y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[i__ 
+			+ 1 + i__ * y_dim1], &c__1);
+		i__2 = *n - i__;
+		sscal_(&i__2, &tauq[i__], &y[i__ + 1 + i__ * y_dim1], &c__1);
+	    }
+/* L20: */
+	}
+    }
+    return 0;
+
+/*     End of SLABRD */
+
+} /* slabrd_ */