[] add metering mode to CLI

1 files changed, 360 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dsytrd.c b/contrib/libs/clapack/dsytrd.c
new file mode 100644
index 0000000000..f0f9ded060
--- /dev/null
+++ b/contrib/libs/clapack/dsytrd.c
@@ -0,0 +1,360 @@
+/* dsytrd.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 integer c_n1 = -1;
+static integer c__3 = 3;
+static integer c__2 = 2;
+static doublereal c_b22 = -1.;
+static doublereal c_b23 = 1.;
+
+/* Subroutine */ int dsytrd_(char *uplo, integer *n, doublereal *a, integer *
+	lda, doublereal *d__, doublereal *e, doublereal *tau, doublereal *
+	work, integer *lwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2, i__3;
+
+    /* Local variables */
+    integer i__, j, nb, kk, nx, iws;
+    extern logical lsame_(char *, char *);
+    integer nbmin, iinfo;
+    logical upper;
+    extern /* Subroutine */ int dsytd2_(char *, integer *, doublereal *, 
+	    integer *, doublereal *, doublereal *, doublereal *, integer *), dsyr2k_(char *, char *, integer *, integer *, doublereal 
+	    *, doublereal *, integer *, doublereal *, integer *, doublereal *, 
+	     doublereal *, integer *), dlatrd_(char *, 
+	    integer *, integer *, doublereal *, integer *, doublereal *, 
+	    doublereal *, doublereal *, integer *), xerbla_(char *, 
+	    integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    integer ldwork, lwkopt;
+    logical lquery;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DSYTRD reduces a real symmetric matrix A to real symmetric */
+/*  tridiagonal form T by an orthogonal similarity transformation: */
+/*  Q**T * A * Q = T. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          = 'U':  Upper triangle of A is stored; */
+/*          = 'L':  Lower triangle of A is stored. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
+/*          On entry, the symmetric matrix A.  If UPLO = 'U', the leading */
+/*          N-by-N upper triangular part of A contains the upper */
+/*          triangular part of the matrix A, and the strictly lower */
+/*          triangular part of A is not referenced.  If UPLO = 'L', the */
+/*          leading N-by-N lower triangular part of A contains the lower */
+/*          triangular part of the matrix A, and the strictly upper */
+/*          triangular part of A is not referenced. */
+/*          On exit, if UPLO = 'U', the diagonal and first superdiagonal */
+/*          of A are overwritten by the corresponding elements of the */
+/*          tridiagonal matrix T, and the elements above the first */
+/*          superdiagonal, with the array TAU, represent the orthogonal */
+/*          matrix Q as a product of elementary reflectors; if UPLO */
+/*          = 'L', the diagonal and first subdiagonal of A are over- */
+/*          written by the corresponding elements of the tridiagonal */
+/*          matrix T, and the elements below the first subdiagonal, with */
+/*          the array TAU, represent the orthogonal matrix Q as a product */
+/*          of elementary reflectors. See Further Details. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  D       (output) DOUBLE PRECISION array, dimension (N) */
+/*          The diagonal elements of the tridiagonal matrix T: */
+/*          D(i) = A(i,i). */
+
+/*  E       (output) DOUBLE PRECISION array, dimension (N-1) */
+/*          The off-diagonal elements of the tridiagonal matrix T: */
+/*          E(i) = A(i,i+1) if UPLO = 'U', E(i) = A(i+1,i) if UPLO = 'L'. */
+
+/*  TAU     (output) DOUBLE PRECISION array, dimension (N-1) */
+/*          The scalar factors of the elementary reflectors (see Further */
+/*          Details). */
+
+/*  WORK    (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/*  LWORK   (input) INTEGER */
+/*          The dimension of the array WORK.  LWORK >= 1. */
+/*          For optimum performance LWORK >= N*NB, where NB is the */
+/*          optimal blocksize. */
+
+/*          If LWORK = -1, then a workspace query is assumed; the routine */
+/*          only calculates the optimal size of the WORK array, returns */
+/*          this value as the first entry of the WORK array, and no error */
+/*          message related to LWORK is issued by XERBLA. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+
+/*  Further Details */
+/*  =============== */
+
+/*  If UPLO = 'U', the matrix Q is represented as a product of elementary */
+/*  reflectors */
+
+/*     Q = H(n-1) . . . H(2) H(1). */
+
+/*  Each H(i) has the form */
+
+/*     H(i) = I - tau * v * v' */
+
+/*  where tau is a real scalar, and v is a real vector with */
+/*  v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in */
+/*  A(1:i-1,i+1), and tau in TAU(i). */
+
+/*  If UPLO = 'L', the matrix Q is represented as a product of elementary */
+/*  reflectors */
+
+/*     Q = H(1) H(2) . . . H(n-1). */
+
+/*  Each H(i) has the form */
+
+/*     H(i) = I - tau * v * v' */
+
+/*  where tau is a real scalar, and v is a real vector with */
+/*  v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in A(i+2:n,i), */
+/*  and tau in TAU(i). */
+
+/*  The contents of A on exit are illustrated by the following examples */
+/*  with n = 5: */
+
+/*  if UPLO = 'U':                       if UPLO = 'L': */
+
+/*    (  d   e   v2  v3  v4 )              (  d                  ) */
+/*    (      d   e   v3  v4 )              (  e   d              ) */
+/*    (          d   e   v4 )              (  v1  e   d          ) */
+/*    (              d   e  )              (  v1  v2  e   d      ) */
+/*    (                  d  )              (  v1  v2  v3  e   d  ) */
+
+/*  where d and e denote diagonal and off-diagonal elements of T, and vi */
+/*  denotes an element of the vector defining H(i). */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --d__;
+    --e;
+    --tau;
+    --work;
+
+    /* Function Body */
+    *info = 0;
+    upper = lsame_(uplo, "U");
+    lquery = *lwork == -1;
+    if (! upper && ! lsame_(uplo, "L")) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*lda < max(1,*n)) {
+	*info = -4;
+    } else if (*lwork < 1 && ! lquery) {
+	*info = -9;
+    }
+
+    if (*info == 0) {
+
+/*        Determine the block size. */
+
+	nb = ilaenv_(&c__1, "DSYTRD", uplo, n, &c_n1, &c_n1, &c_n1);
+	lwkopt = *n * nb;
+	work[1] = (doublereal) lwkopt;
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("DSYTRD", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	work[1] = 1.;
+	return 0;
+    }
+
+    nx = *n;
+    iws = 1;
+    if (nb > 1 && nb < *n) {
+
+/*        Determine when to cross over from blocked to unblocked code */
+/*        (last block is always handled by unblocked code). */
+
+/* Computing MAX */
+	i__1 = nb, i__2 = ilaenv_(&c__3, "DSYTRD", uplo, n, &c_n1, &c_n1, &
+		c_n1);
+	nx = max(i__1,i__2);
+	if (nx < *n) {
+
+/*           Determine if workspace is large enough for blocked code. */
+
+	    ldwork = *n;
+	    iws = ldwork * nb;
+	    if (*lwork < iws) {
+
+/*              Not enough workspace to use optimal NB:  determine the */
+/*              minimum value of NB, and reduce NB or force use of */
+/*              unblocked code by setting NX = N. */
+
+/* Computing MAX */
+		i__1 = *lwork / ldwork;
+		nb = max(i__1,1);
+		nbmin = ilaenv_(&c__2, "DSYTRD", uplo, n, &c_n1, &c_n1, &c_n1);
+		if (nb < nbmin) {
+		    nx = *n;
+		}
+	    }
+	} else {
+	    nx = *n;
+	}
+    } else {
+	nb = 1;
+    }
+
+    if (upper) {
+
+/*        Reduce the upper triangle of A. */
+/*        Columns 1:kk are handled by the unblocked method. */
+
+	kk = *n - (*n - nx + nb - 1) / nb * nb;
+	i__1 = kk + 1;
+	i__2 = -nb;
+	for (i__ = *n - nb + 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += 
+		i__2) {
+
+/*           Reduce columns i:i+nb-1 to tridiagonal form and form the */
+/*           matrix W which is needed to update the unreduced part of */
+/*           the matrix */
+
+	    i__3 = i__ + nb - 1;
+	    dlatrd_(uplo, &i__3, &nb, &a[a_offset], lda, &e[1], &tau[1], &
+		    work[1], &ldwork);
+
+/*           Update the unreduced submatrix A(1:i-1,1:i-1), using an */
+/*           update of the form:  A := A - V*W' - W*V' */
+
+	    i__3 = i__ - 1;
+	    dsyr2k_(uplo, "No transpose", &i__3, &nb, &c_b22, &a[i__ * a_dim1 
+		    + 1], lda, &work[1], &ldwork, &c_b23, &a[a_offset], lda);
+
+/*           Copy superdiagonal elements back into A, and diagonal */
+/*           elements into D */
+
+	    i__3 = i__ + nb - 1;
+	    for (j = i__; j <= i__3; ++j) {
+		a[j - 1 + j * a_dim1] = e[j - 1];
+		d__[j] = a[j + j * a_dim1];
+/* L10: */
+	    }
+/* L20: */
+	}
+
+/*        Use unblocked code to reduce the last or only block */
+
+	dsytd2_(uplo, &kk, &a[a_offset], lda, &d__[1], &e[1], &tau[1], &iinfo);
+    } else {
+
+/*        Reduce the lower triangle of A */
+
+	i__2 = *n - nx;
+	i__1 = nb;
+	for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
+
+/*           Reduce columns i:i+nb-1 to tridiagonal form and form the */
+/*           matrix W which is needed to update the unreduced part of */
+/*           the matrix */
+
+	    i__3 = *n - i__ + 1;
+	    dlatrd_(uplo, &i__3, &nb, &a[i__ + i__ * a_dim1], lda, &e[i__], &
+		    tau[i__], &work[1], &ldwork);
+
+/*           Update the unreduced submatrix A(i+ib:n,i+ib:n), using */
+/*           an update of the form:  A := A - V*W' - W*V' */
+
+	    i__3 = *n - i__ - nb + 1;
+	    dsyr2k_(uplo, "No transpose", &i__3, &nb, &c_b22, &a[i__ + nb + 
+		    i__ * a_dim1], lda, &work[nb + 1], &ldwork, &c_b23, &a[
+		    i__ + nb + (i__ + nb) * a_dim1], lda);
+
+/*           Copy subdiagonal elements back into A, and diagonal */
+/*           elements into D */
+
+	    i__3 = i__ + nb - 1;
+	    for (j = i__; j <= i__3; ++j) {
+		a[j + 1 + j * a_dim1] = e[j];
+		d__[j] = a[j + j * a_dim1];
+/* L30: */
+	    }
+/* L40: */
+	}
+
+/*        Use unblocked code to reduce the last or only block */
+
+	i__1 = *n - i__ + 1;
+	dsytd2_(uplo, &i__1, &a[i__ + i__ * a_dim1], lda, &d__[i__], &e[i__], 
+		&tau[i__], &iinfo);
+    }
+
+    work[1] = (doublereal) lwkopt;
+    return 0;
+
+/*     End of DSYTRD */
+
+} /* dsytrd_ */