[] add metering mode to CLI

1 files changed, 329 insertions, 0 deletions

diff --git a/contrib/libs/clapack/clahr2.c b/contrib/libs/clapack/clahr2.c
new file mode 100644
index 0000000000..22d3bbf083
--- /dev/null
+++ b/contrib/libs/clapack/clahr2.c
@@ -0,0 +1,329 @@
+/* clahr2.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 complex c_b1 = {0.f,0.f};
+static complex c_b2 = {1.f,0.f};
+static integer c__1 = 1;
+
+/* Subroutine */ int clahr2_(integer *n, integer *k, integer *nb, complex *a, 
+	integer *lda, complex *tau, complex *t, integer *ldt, complex *y, 
+	integer *ldy)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, t_dim1, t_offset, y_dim1, y_offset, i__1, i__2, 
+	    i__3;
+    complex q__1;
+
+    /* Local variables */
+    integer i__;
+    complex ei;
+    extern /* Subroutine */ int cscal_(integer *, complex *, complex *, 
+	    integer *), cgemm_(char *, char *, integer *, integer *, integer *
+, complex *, complex *, integer *, complex *, integer *, complex *
+, complex *, integer *), cgemv_(char *, integer *, 
+	     integer *, complex *, complex *, integer *, complex *, integer *, 
+	     complex *, complex *, integer *), ccopy_(integer *, 
+	    complex *, integer *, complex *, integer *), ctrmm_(char *, char *
+, char *, char *, integer *, integer *, complex *, complex *, 
+	    integer *, complex *, integer *), 
+	    caxpy_(integer *, complex *, complex *, integer *, complex *, 
+	    integer *), ctrmv_(char *, char *, char *, integer *, complex *, 
+	    integer *, complex *, integer *), clarfg_(
+	    integer *, complex *, complex *, integer *, complex *), clacgv_(
+	    integer *, complex *, integer *), clacpy_(char *, integer *, 
+	    integer *, complex *, integer *, complex *, integer *);
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CLAHR2 reduces the first NB columns of A complex general n-BY-(n-k+1) */
+/*  matrix A so that elements below the k-th subdiagonal are zero. The */
+/*  reduction is performed by an unitary similarity transformation */
+/*  Q' * A * Q. The routine returns the matrices V and T which determine */
+/*  Q as a block reflector I - V*T*V', and also the matrix Y = A * V * T. */
+
+/*  This is an auxiliary routine called by CGEHRD. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A. */
+
+/*  K       (input) INTEGER */
+/*          The offset for the reduction. Elements below the k-th */
+/*          subdiagonal in the first NB columns are reduced to zero. */
+/*          K < N. */
+
+/*  NB      (input) INTEGER */
+/*          The number of columns to be reduced. */
+
+/*  A       (input/output) COMPLEX array, dimension (LDA,N-K+1) */
+/*          On entry, the n-by-(n-k+1) general matrix A. */
+/*          On exit, the elements on and above the k-th subdiagonal in */
+/*          the first NB columns are overwritten with the corresponding */
+/*          elements of the reduced matrix; the elements below the k-th */
+/*          subdiagonal, with the array TAU, represent the matrix Q as a */
+/*          product of elementary reflectors. The other columns of A are */
+/*          unchanged. See Further Details. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  TAU     (output) COMPLEX array, dimension (NB) */
+/*          The scalar factors of the elementary reflectors. See Further */
+/*          Details. */
+
+/*  T       (output) COMPLEX array, dimension (LDT,NB) */
+/*          The upper triangular matrix T. */
+
+/*  LDT     (input) INTEGER */
+/*          The leading dimension of the array T.  LDT >= NB. */
+
+/*  Y       (output) COMPLEX array, dimension (LDY,NB) */
+/*          The n-by-nb matrix Y. */
+
+/*  LDY     (input) INTEGER */
+/*          The leading dimension of the array Y. LDY >= N. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  The matrix Q is represented as a product of nb elementary reflectors */
+
+/*     Q = H(1) H(2) . . . H(nb). */
+
+/*  Each H(i) has the form */
+
+/*     H(i) = I - tau * v * v' */
+
+/*  where tau is a complex scalar, and v is a complex vector with */
+/*  v(1:i+k-1) = 0, v(i+k) = 1; v(i+k+1:n) is stored on exit in */
+/*  A(i+k+1:n,i), and tau in TAU(i). */
+
+/*  The elements of the vectors v together form the (n-k+1)-by-nb matrix */
+/*  V which is needed, with T and Y, to apply the transformation to the */
+/*  unreduced part of the matrix, using an update of the form: */
+/*  A := (I - V*T*V') * (A - Y*V'). */
+
+/*  The contents of A on exit are illustrated by the following example */
+/*  with n = 7, k = 3 and nb = 2: */
+
+/*     ( a   a   a   a   a ) */
+/*     ( a   a   a   a   a ) */
+/*     ( a   a   a   a   a ) */
+/*     ( h   h   a   a   a ) */
+/*     ( v1  h   a   a   a ) */
+/*     ( v1  v2  a   a   a ) */
+/*     ( v1  v2  a   a   a ) */
+
+/*  where a denotes an element of the original matrix A, h denotes a */
+/*  modified element of the upper Hessenberg matrix H, and vi denotes an */
+/*  element of the vector defining H(i). */
+
+/*  This file is a slight modification of LAPACK-3.0's CLAHRD */
+/*  incorporating improvements proposed by Quintana-Orti and Van de */
+/*  Gejin. Note that the entries of A(1:K,2:NB) differ from those */
+/*  returned by the original LAPACK routine. This function is */
+/*  not backward compatible with LAPACK3.0. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Quick return if possible */
+
+    /* Parameter adjustments */
+    --tau;
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    t_dim1 = *ldt;
+    t_offset = 1 + t_dim1;
+    t -= t_offset;
+    y_dim1 = *ldy;
+    y_offset = 1 + y_dim1;
+    y -= y_offset;
+
+    /* Function Body */
+    if (*n <= 1) {
+	return 0;
+    }
+
+    i__1 = *nb;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	if (i__ > 1) {
+
+/*           Update A(K+1:N,I) */
+
+/*           Update I-th column of A - Y * V' */
+
+	    i__2 = i__ - 1;
+	    clacgv_(&i__2, &a[*k + i__ - 1 + a_dim1], lda);
+	    i__2 = *n - *k;
+	    i__3 = i__ - 1;
+	    q__1.r = -1.f, q__1.i = -0.f;
+	    cgemv_("NO TRANSPOSE", &i__2, &i__3, &q__1, &y[*k + 1 + y_dim1], 
+		    ldy, &a[*k + i__ - 1 + a_dim1], lda, &c_b2, &a[*k + 1 + 
+		    i__ * a_dim1], &c__1);
+	    i__2 = i__ - 1;
+	    clacgv_(&i__2, &a[*k + i__ - 1 + a_dim1], lda);
+
+/*           Apply I - V * T' * V' to this column (call it b) from the */
+/*           left, using the last column of T as workspace */
+
+/*           Let  V = ( V1 )   and   b = ( b1 )   (first I-1 rows) */
+/*                    ( V2 )             ( b2 ) */
+
+/*           where V1 is unit lower triangular */
+
+/*           w := V1' * b1 */
+
+	    i__2 = i__ - 1;
+	    ccopy_(&i__2, &a[*k + 1 + i__ * a_dim1], &c__1, &t[*nb * t_dim1 + 
+		    1], &c__1);
+	    i__2 = i__ - 1;
+	    ctrmv_("Lower", "Conjugate transpose", "UNIT", &i__2, &a[*k + 1 + 
+		    a_dim1], lda, &t[*nb * t_dim1 + 1], &c__1);
+
+/*           w := w + V2'*b2 */
+
+	    i__2 = *n - *k - i__ + 1;
+	    i__3 = i__ - 1;
+	    cgemv_("Conjugate transpose", &i__2, &i__3, &c_b2, &a[*k + i__ + 
+		    a_dim1], lda, &a[*k + i__ + i__ * a_dim1], &c__1, &c_b2, &
+		    t[*nb * t_dim1 + 1], &c__1);
+
+/*           w := T'*w */
+
+	    i__2 = i__ - 1;
+	    ctrmv_("Upper", "Conjugate transpose", "NON-UNIT", &i__2, &t[
+		    t_offset], ldt, &t[*nb * t_dim1 + 1], &c__1);
+
+/*           b2 := b2 - V2*w */
+
+	    i__2 = *n - *k - i__ + 1;
+	    i__3 = i__ - 1;
+	    q__1.r = -1.f, q__1.i = -0.f;
+	    cgemv_("NO TRANSPOSE", &i__2, &i__3, &q__1, &a[*k + i__ + a_dim1], 
+		     lda, &t[*nb * t_dim1 + 1], &c__1, &c_b2, &a[*k + i__ + 
+		    i__ * a_dim1], &c__1);
+
+/*           b1 := b1 - V1*w */
+
+	    i__2 = i__ - 1;
+	    ctrmv_("Lower", "NO TRANSPOSE", "UNIT", &i__2, &a[*k + 1 + a_dim1]
+, lda, &t[*nb * t_dim1 + 1], &c__1);
+	    i__2 = i__ - 1;
+	    q__1.r = -1.f, q__1.i = -0.f;
+	    caxpy_(&i__2, &q__1, &t[*nb * t_dim1 + 1], &c__1, &a[*k + 1 + i__ 
+		    * a_dim1], &c__1);
+
+	    i__2 = *k + i__ - 1 + (i__ - 1) * a_dim1;
+	    a[i__2].r = ei.r, a[i__2].i = ei.i;
+	}
+
+/*        Generate the elementary reflector H(I) to annihilate */
+/*        A(K+I+1:N,I) */
+
+	i__2 = *n - *k - i__ + 1;
+/* Computing MIN */
+	i__3 = *k + i__ + 1;
+	clarfg_(&i__2, &a[*k + i__ + i__ * a_dim1], &a[min(i__3, *n)+ i__ * 
+		a_dim1], &c__1, &tau[i__]);
+	i__2 = *k + i__ + i__ * a_dim1;
+	ei.r = a[i__2].r, ei.i = a[i__2].i;
+	i__2 = *k + i__ + i__ * a_dim1;
+	a[i__2].r = 1.f, a[i__2].i = 0.f;
+
+/*        Compute  Y(K+1:N,I) */
+
+	i__2 = *n - *k;
+	i__3 = *n - *k - i__ + 1;
+	cgemv_("NO TRANSPOSE", &i__2, &i__3, &c_b2, &a[*k + 1 + (i__ + 1) * 
+		a_dim1], lda, &a[*k + i__ + i__ * a_dim1], &c__1, &c_b1, &y[*
+		k + 1 + i__ * y_dim1], &c__1);
+	i__2 = *n - *k - i__ + 1;
+	i__3 = i__ - 1;
+	cgemv_("Conjugate transpose", &i__2, &i__3, &c_b2, &a[*k + i__ + 
+		a_dim1], lda, &a[*k + i__ + i__ * a_dim1], &c__1, &c_b1, &t[
+		i__ * t_dim1 + 1], &c__1);
+	i__2 = *n - *k;
+	i__3 = i__ - 1;
+	q__1.r = -1.f, q__1.i = -0.f;
+	cgemv_("NO TRANSPOSE", &i__2, &i__3, &q__1, &y[*k + 1 + y_dim1], ldy, 
+		&t[i__ * t_dim1 + 1], &c__1, &c_b2, &y[*k + 1 + i__ * y_dim1], 
+		 &c__1);
+	i__2 = *n - *k;
+	cscal_(&i__2, &tau[i__], &y[*k + 1 + i__ * y_dim1], &c__1);
+
+/*        Compute T(1:I,I) */
+
+	i__2 = i__ - 1;
+	i__3 = i__;
+	q__1.r = -tau[i__3].r, q__1.i = -tau[i__3].i;
+	cscal_(&i__2, &q__1, &t[i__ * t_dim1 + 1], &c__1);
+	i__2 = i__ - 1;
+	ctrmv_("Upper", "No Transpose", "NON-UNIT", &i__2, &t[t_offset], ldt, 
+		&t[i__ * t_dim1 + 1], &c__1)
+		;
+	i__2 = i__ + i__ * t_dim1;
+	i__3 = i__;
+	t[i__2].r = tau[i__3].r, t[i__2].i = tau[i__3].i;
+
+/* L10: */
+    }
+    i__1 = *k + *nb + *nb * a_dim1;
+    a[i__1].r = ei.r, a[i__1].i = ei.i;
+
+/*     Compute Y(1:K,1:NB) */
+
+    clacpy_("ALL", k, nb, &a[(a_dim1 << 1) + 1], lda, &y[y_offset], ldy);
+    ctrmm_("RIGHT", "Lower", "NO TRANSPOSE", "UNIT", k, nb, &c_b2, &a[*k + 1 
+	    + a_dim1], lda, &y[y_offset], ldy);
+    if (*n > *k + *nb) {
+	i__1 = *n - *k - *nb;
+	cgemm_("NO TRANSPOSE", "NO TRANSPOSE", k, nb, &i__1, &c_b2, &a[(*nb + 
+		2) * a_dim1 + 1], lda, &a[*k + 1 + *nb + a_dim1], lda, &c_b2, 
+		&y[y_offset], ldy);
+    }
+    ctrmm_("RIGHT", "Upper", "NO TRANSPOSE", "NON-UNIT", k, nb, &c_b2, &t[
+	    t_offset], ldt, &y[y_offset], ldy);
+
+    return 0;
+
+/*     End of CLAHR2 */
+
+} /* clahr2_ */