[] add metering mode to CLI

1 files changed, 358 insertions, 0 deletions

diff --git a/contrib/libs/clapack/chetd2.c b/contrib/libs/clapack/chetd2.c
new file mode 100644
index 0000000000..a18ee716fc
--- /dev/null
+++ b/contrib/libs/clapack/chetd2.c
@@ -0,0 +1,358 @@
+/* chetd2.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_b2 = {0.f,0.f};
+static integer c__1 = 1;
+
+/* Subroutine */ int chetd2_(char *uplo, integer *n, complex *a, integer *lda, 
+	 real *d__, real *e, complex *tau, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2, i__3;
+    real r__1;
+    complex q__1, q__2, q__3, q__4;
+
+    /* Local variables */
+    integer i__;
+    complex taui;
+    extern /* Subroutine */ int cher2_(char *, integer *, complex *, complex *
+, integer *, complex *, integer *, complex *, integer *);
+    complex alpha;
+    extern /* Complex */ VOID cdotc_(complex *, integer *, complex *, integer 
+	    *, complex *, integer *);
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int chemv_(char *, integer *, complex *, complex *
+, integer *, complex *, integer *, complex *, complex *, integer *
+), caxpy_(integer *, complex *, complex *, integer *, 
+	    complex *, integer *);
+    logical upper;
+    extern /* Subroutine */ int clarfg_(integer *, complex *, complex *, 
+	    integer *, complex *), xerbla_(char *, integer *);
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CHETD2 reduces a complex Hermitian matrix A to real symmetric */
+/*  tridiagonal form T by a unitary similarity transformation: */
+/*  Q' * A * Q = T. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          Specifies whether the upper or lower triangular part of the */
+/*          Hermitian matrix A is stored: */
+/*          = 'U':  Upper triangular */
+/*          = 'L':  Lower triangular */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input/output) COMPLEX array, dimension (LDA,N) */
+/*          On entry, the Hermitian 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 unitary */
+/*          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 unitary 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) REAL array, dimension (N) */
+/*          The diagonal elements of the tridiagonal matrix T: */
+/*          D(i) = A(i,i). */
+
+/*  E       (output) REAL 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) COMPLEX array, dimension (N-1) */
+/*          The scalar factors of the elementary reflectors (see Further */
+/*          Details). */
+
+/*  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 complex scalar, and v is a complex 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 complex scalar, and v is a complex 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 .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --d__;
+    --e;
+    --tau;
+
+    /* Function Body */
+    *info = 0;
+    upper = lsame_(uplo, "U");
+    if (! upper && ! lsame_(uplo, "L")) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*lda < max(1,*n)) {
+	*info = -4;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CHETD2", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n <= 0) {
+	return 0;
+    }
+
+    if (upper) {
+
+/*        Reduce the upper triangle of A */
+
+	i__1 = *n + *n * a_dim1;
+	i__2 = *n + *n * a_dim1;
+	r__1 = a[i__2].r;
+	a[i__1].r = r__1, a[i__1].i = 0.f;
+	for (i__ = *n - 1; i__ >= 1; --i__) {
+
+/*           Generate elementary reflector H(i) = I - tau * v * v' */
+/*           to annihilate A(1:i-1,i+1) */
+
+	    i__1 = i__ + (i__ + 1) * a_dim1;
+	    alpha.r = a[i__1].r, alpha.i = a[i__1].i;
+	    clarfg_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &taui);
+	    i__1 = i__;
+	    e[i__1] = alpha.r;
+
+	    if (taui.r != 0.f || taui.i != 0.f) {
+
+/*              Apply H(i) from both sides to A(1:i,1:i) */
+
+		i__1 = i__ + (i__ + 1) * a_dim1;
+		a[i__1].r = 1.f, a[i__1].i = 0.f;
+
+/*              Compute  x := tau * A * v  storing x in TAU(1:i) */
+
+		chemv_(uplo, &i__, &taui, &a[a_offset], lda, &a[(i__ + 1) * 
+			a_dim1 + 1], &c__1, &c_b2, &tau[1], &c__1);
+
+/*              Compute  w := x - 1/2 * tau * (x'*v) * v */
+
+		q__3.r = -.5f, q__3.i = -0.f;
+		q__2.r = q__3.r * taui.r - q__3.i * taui.i, q__2.i = q__3.r * 
+			taui.i + q__3.i * taui.r;
+		cdotc_(&q__4, &i__, &tau[1], &c__1, &a[(i__ + 1) * a_dim1 + 1]
+, &c__1);
+		q__1.r = q__2.r * q__4.r - q__2.i * q__4.i, q__1.i = q__2.r * 
+			q__4.i + q__2.i * q__4.r;
+		alpha.r = q__1.r, alpha.i = q__1.i;
+		caxpy_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &tau[
+			1], &c__1);
+
+/*              Apply the transformation as a rank-2 update: */
+/*                 A := A - v * w' - w * v' */
+
+		q__1.r = -1.f, q__1.i = -0.f;
+		cher2_(uplo, &i__, &q__1, &a[(i__ + 1) * a_dim1 + 1], &c__1, &
+			tau[1], &c__1, &a[a_offset], lda);
+
+	    } else {
+		i__1 = i__ + i__ * a_dim1;
+		i__2 = i__ + i__ * a_dim1;
+		r__1 = a[i__2].r;
+		a[i__1].r = r__1, a[i__1].i = 0.f;
+	    }
+	    i__1 = i__ + (i__ + 1) * a_dim1;
+	    i__2 = i__;
+	    a[i__1].r = e[i__2], a[i__1].i = 0.f;
+	    i__1 = i__ + 1;
+	    i__2 = i__ + 1 + (i__ + 1) * a_dim1;
+	    d__[i__1] = a[i__2].r;
+	    i__1 = i__;
+	    tau[i__1].r = taui.r, tau[i__1].i = taui.i;
+/* L10: */
+	}
+	i__1 = a_dim1 + 1;
+	d__[1] = a[i__1].r;
+    } else {
+
+/*        Reduce the lower triangle of A */
+
+	i__1 = a_dim1 + 1;
+	i__2 = a_dim1 + 1;
+	r__1 = a[i__2].r;
+	a[i__1].r = r__1, a[i__1].i = 0.f;
+	i__1 = *n - 1;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+
+/*           Generate elementary reflector H(i) = I - tau * v * v' */
+/*           to annihilate A(i+2:n,i) */
+
+	    i__2 = i__ + 1 + i__ * a_dim1;
+	    alpha.r = a[i__2].r, alpha.i = a[i__2].i;
+	    i__2 = *n - i__;
+/* Computing MIN */
+	    i__3 = i__ + 2;
+	    clarfg_(&i__2, &alpha, &a[min(i__3, *n)+ i__ * a_dim1], &c__1, &
+		    taui);
+	    i__2 = i__;
+	    e[i__2] = alpha.r;
+
+	    if (taui.r != 0.f || taui.i != 0.f) {
+
+/*              Apply H(i) from both sides to A(i+1:n,i+1:n) */
+
+		i__2 = i__ + 1 + i__ * a_dim1;
+		a[i__2].r = 1.f, a[i__2].i = 0.f;
+
+/*              Compute  x := tau * A * v  storing y in TAU(i:n-1) */
+
+		i__2 = *n - i__;
+		chemv_(uplo, &i__2, &taui, &a[i__ + 1 + (i__ + 1) * a_dim1], 
+			lda, &a[i__ + 1 + i__ * a_dim1], &c__1, &c_b2, &tau[
+			i__], &c__1);
+
+/*              Compute  w := x - 1/2 * tau * (x'*v) * v */
+
+		q__3.r = -.5f, q__3.i = -0.f;
+		q__2.r = q__3.r * taui.r - q__3.i * taui.i, q__2.i = q__3.r * 
+			taui.i + q__3.i * taui.r;
+		i__2 = *n - i__;
+		cdotc_(&q__4, &i__2, &tau[i__], &c__1, &a[i__ + 1 + i__ * 
+			a_dim1], &c__1);
+		q__1.r = q__2.r * q__4.r - q__2.i * q__4.i, q__1.i = q__2.r * 
+			q__4.i + q__2.i * q__4.r;
+		alpha.r = q__1.r, alpha.i = q__1.i;
+		i__2 = *n - i__;
+		caxpy_(&i__2, &alpha, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[
+			i__], &c__1);
+
+/*              Apply the transformation as a rank-2 update: */
+/*                 A := A - v * w' - w * v' */
+
+		i__2 = *n - i__;
+		q__1.r = -1.f, q__1.i = -0.f;
+		cher2_(uplo, &i__2, &q__1, &a[i__ + 1 + i__ * a_dim1], &c__1, 
+			&tau[i__], &c__1, &a[i__ + 1 + (i__ + 1) * a_dim1], 
+			lda);
+
+	    } else {
+		i__2 = i__ + 1 + (i__ + 1) * a_dim1;
+		i__3 = i__ + 1 + (i__ + 1) * a_dim1;
+		r__1 = a[i__3].r;
+		a[i__2].r = r__1, a[i__2].i = 0.f;
+	    }
+	    i__2 = i__ + 1 + i__ * a_dim1;
+	    i__3 = i__;
+	    a[i__2].r = e[i__3], a[i__2].i = 0.f;
+	    i__2 = i__;
+	    i__3 = i__ + i__ * a_dim1;
+	    d__[i__2] = a[i__3].r;
+	    i__2 = i__;
+	    tau[i__2].r = taui.r, tau[i__2].i = taui.i;
+/* L20: */
+	}
+	i__1 = *n;
+	i__2 = *n + *n * a_dim1;
+	d__[i__1] = a[i__2].r;
+    }
+
+    return 0;
+
+/*     End of CHETD2 */
+
+} /* chetd2_ */