[] add metering mode to CLI

1 files changed, 394 insertions, 0 deletions

diff --git a/contrib/libs/clapack/chegvx.c b/contrib/libs/clapack/chegvx.c
new file mode 100644
index 0000000000..89d91defd7
--- /dev/null
+++ b/contrib/libs/clapack/chegvx.c
@@ -0,0 +1,394 @@
+/* chegvx.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 = {1.f,0.f};
+static integer c__1 = 1;
+static integer c_n1 = -1;
+
+/* Subroutine */ int chegvx_(integer *itype, char *jobz, char *range, char *
+	uplo, integer *n, complex *a, integer *lda, complex *b, integer *ldb, 
+	real *vl, real *vu, integer *il, integer *iu, real *abstol, integer *
+	m, real *w, complex *z__, integer *ldz, complex *work, integer *lwork, 
+	 real *rwork, integer *iwork, integer *ifail, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, z_dim1, z_offset, i__1, i__2;
+
+    /* Local variables */
+    integer nb;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int ctrmm_(char *, char *, char *, char *, 
+	    integer *, integer *, complex *, complex *, integer *, complex *, 
+	    integer *);
+    char trans[1];
+    extern /* Subroutine */ int ctrsm_(char *, char *, char *, char *, 
+	    integer *, integer *, complex *, complex *, integer *, complex *, 
+	    integer *);
+    logical upper, wantz, alleig, indeig, valeig;
+    extern /* Subroutine */ int chegst_(integer *, char *, integer *, complex 
+	    *, integer *, complex *, integer *, integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern /* Subroutine */ int xerbla_(char *, integer *), cheevx_(
+	    char *, char *, char *, integer *, complex *, integer *, real *, 
+	    real *, integer *, integer *, real *, integer *, real *, complex *
+, integer *, complex *, integer *, real *, integer *, integer *, 
+	    integer *), cpotrf_(char *, integer *, 
+	    complex *, integer *, integer *);
+    integer lwkopt;
+    logical lquery;
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CHEGVX computes selected eigenvalues, and optionally, eigenvectors */
+/*  of a complex generalized Hermitian-definite eigenproblem, of the form */
+/*  A*x=(lambda)*B*x,  A*Bx=(lambda)*x,  or B*A*x=(lambda)*x.  Here A and */
+/*  B are assumed to be Hermitian and B is also positive definite. */
+/*  Eigenvalues and eigenvectors can be selected by specifying either a */
+/*  range of values or a range of indices for the desired eigenvalues. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  ITYPE   (input) INTEGER */
+/*          Specifies the problem type to be solved: */
+/*          = 1:  A*x = (lambda)*B*x */
+/*          = 2:  A*B*x = (lambda)*x */
+/*          = 3:  B*A*x = (lambda)*x */
+
+/*  JOBZ    (input) CHARACTER*1 */
+/*          = 'N':  Compute eigenvalues only; */
+/*          = 'V':  Compute eigenvalues and eigenvectors. */
+
+/*  RANGE   (input) CHARACTER*1 */
+/*          = 'A': all eigenvalues will be found. */
+/*          = 'V': all eigenvalues in the half-open interval (VL,VU] */
+/*                 will be found. */
+/*          = 'I': the IL-th through IU-th eigenvalues will be found. */
+/* * */
+/*  UPLO    (input) CHARACTER*1 */
+/*          = 'U':  Upper triangles of A and B are stored; */
+/*          = 'L':  Lower triangles of A and B are stored. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrices A and B.  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.  If UPLO = 'L', */
+/*          the leading N-by-N lower triangular part of A contains */
+/*          the lower triangular part of the matrix A. */
+
+/*          On exit,  the lower triangle (if UPLO='L') or the upper */
+/*          triangle (if UPLO='U') of A, including the diagonal, is */
+/*          destroyed. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  B       (input/output) COMPLEX array, dimension (LDB, N) */
+/*          On entry, the Hermitian matrix B.  If UPLO = 'U', the */
+/*          leading N-by-N upper triangular part of B contains the */
+/*          upper triangular part of the matrix B.  If UPLO = 'L', */
+/*          the leading N-by-N lower triangular part of B contains */
+/*          the lower triangular part of the matrix B. */
+
+/*          On exit, if INFO <= N, the part of B containing the matrix is */
+/*          overwritten by the triangular factor U or L from the Cholesky */
+/*          factorization B = U**H*U or B = L*L**H. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the array B.  LDB >= max(1,N). */
+
+/*  VL      (input) REAL */
+/*  VU      (input) REAL */
+/*          If RANGE='V', the lower and upper bounds of the interval to */
+/*          be searched for eigenvalues. VL < VU. */
+/*          Not referenced if RANGE = 'A' or 'I'. */
+
+/*  IL      (input) INTEGER */
+/*  IU      (input) INTEGER */
+/*          If RANGE='I', the indices (in ascending order) of the */
+/*          smallest and largest eigenvalues to be returned. */
+/*          1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0. */
+/*          Not referenced if RANGE = 'A' or 'V'. */
+
+/*  ABSTOL  (input) REAL */
+/*          The absolute error tolerance for the eigenvalues. */
+/*          An approximate eigenvalue is accepted as converged */
+/*          when it is determined to lie in an interval [a,b] */
+/*          of width less than or equal to */
+
+/*                  ABSTOL + EPS *   max( |a|,|b| ) , */
+
+/*          where EPS is the machine precision.  If ABSTOL is less than */
+/*          or equal to zero, then  EPS*|T|  will be used in its place, */
+/*          where |T| is the 1-norm of the tridiagonal matrix obtained */
+/*          by reducing A to tridiagonal form. */
+
+/*          Eigenvalues will be computed most accurately when ABSTOL is */
+/*          set to twice the underflow threshold 2*SLAMCH('S'), not zero. */
+/*          If this routine returns with INFO>0, indicating that some */
+/*          eigenvectors did not converge, try setting ABSTOL to */
+/*          2*SLAMCH('S'). */
+
+/*  M       (output) INTEGER */
+/*          The total number of eigenvalues found.  0 <= M <= N. */
+/*          If RANGE = 'A', M = N, and if RANGE = 'I', M = IU-IL+1. */
+
+/*  W       (output) REAL array, dimension (N) */
+/*          The first M elements contain the selected */
+/*          eigenvalues in ascending order. */
+
+/*  Z       (output) COMPLEX array, dimension (LDZ, max(1,M)) */
+/*          If JOBZ = 'N', then Z is not referenced. */
+/*          If JOBZ = 'V', then if INFO = 0, the first M columns of Z */
+/*          contain the orthonormal eigenvectors of the matrix A */
+/*          corresponding to the selected eigenvalues, with the i-th */
+/*          column of Z holding the eigenvector associated with W(i). */
+/*          The eigenvectors are normalized as follows: */
+/*          if ITYPE = 1 or 2, Z**T*B*Z = I; */
+/*          if ITYPE = 3, Z**T*inv(B)*Z = I. */
+
+/*          If an eigenvector fails to converge, then that column of Z */
+/*          contains the latest approximation to the eigenvector, and the */
+/*          index of the eigenvector is returned in IFAIL. */
+/*          Note: the user must ensure that at least max(1,M) columns are */
+/*          supplied in the array Z; if RANGE = 'V', the exact value of M */
+/*          is not known in advance and an upper bound must be used. */
+
+/*  LDZ     (input) INTEGER */
+/*          The leading dimension of the array Z.  LDZ >= 1, and if */
+/*          JOBZ = 'V', LDZ >= max(1,N). */
+
+/*  WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/*  LWORK   (input) INTEGER */
+/*          The length of the array WORK.  LWORK >= max(1,2*N). */
+/*          For optimal efficiency, LWORK >= (NB+1)*N, */
+/*          where NB is the blocksize for CHETRD returned by ILAENV. */
+
+/*          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. */
+
+/*  RWORK   (workspace) REAL array, dimension (7*N) */
+
+/*  IWORK   (workspace) INTEGER array, dimension (5*N) */
+
+/*  IFAIL   (output) INTEGER array, dimension (N) */
+/*          If JOBZ = 'V', then if INFO = 0, the first M elements of */
+/*          IFAIL are zero.  If INFO > 0, then IFAIL contains the */
+/*          indices of the eigenvectors that failed to converge. */
+/*          If JOBZ = 'N', then IFAIL is not referenced. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+/*          > 0:  CPOTRF or CHEEVX returned an error code: */
+/*             <= N:  if INFO = i, CHEEVX failed to converge; */
+/*                    i eigenvectors failed to converge.  Their indices */
+/*                    are stored in array IFAIL. */
+/*             > N:   if INFO = N + i, for 1 <= i <= N, then the leading */
+/*                    minor of order i of B is not positive definite. */
+/*                    The factorization of B could not be completed and */
+/*                    no eigenvalues or eigenvectors were computed. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Mark Fahey, Department of Mathematics, Univ. of Kentucky, USA */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    --w;
+    z_dim1 = *ldz;
+    z_offset = 1 + z_dim1;
+    z__ -= z_offset;
+    --work;
+    --rwork;
+    --iwork;
+    --ifail;
+
+    /* Function Body */
+    wantz = lsame_(jobz, "V");
+    upper = lsame_(uplo, "U");
+    alleig = lsame_(range, "A");
+    valeig = lsame_(range, "V");
+    indeig = lsame_(range, "I");
+    lquery = *lwork == -1;
+
+    *info = 0;
+    if (*itype < 1 || *itype > 3) {
+	*info = -1;
+    } else if (! (wantz || lsame_(jobz, "N"))) {
+	*info = -2;
+    } else if (! (alleig || valeig || indeig)) {
+	*info = -3;
+    } else if (! (upper || lsame_(uplo, "L"))) {
+	*info = -4;
+    } else if (*n < 0) {
+	*info = -5;
+    } else if (*lda < max(1,*n)) {
+	*info = -7;
+    } else if (*ldb < max(1,*n)) {
+	*info = -9;
+    } else {
+	if (valeig) {
+	    if (*n > 0 && *vu <= *vl) {
+		*info = -11;
+	    }
+	} else if (indeig) {
+	    if (*il < 1 || *il > max(1,*n)) {
+		*info = -12;
+	    } else if (*iu < min(*n,*il) || *iu > *n) {
+		*info = -13;
+	    }
+	}
+    }
+    if (*info == 0) {
+	if (*ldz < 1 || wantz && *ldz < *n) {
+	    *info = -18;
+	}
+    }
+
+    if (*info == 0) {
+	nb = ilaenv_(&c__1, "CHETRD", uplo, n, &c_n1, &c_n1, &c_n1);
+/* Computing MAX */
+	i__1 = 1, i__2 = (nb + 1) * *n;
+	lwkopt = max(i__1,i__2);
+	work[1].r = (real) lwkopt, work[1].i = 0.f;
+
+/* Computing MAX */
+	i__1 = 1, i__2 = *n << 1;
+	if (*lwork < max(i__1,i__2) && ! lquery) {
+	    *info = -20;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CHEGVX", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    *m = 0;
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Form a Cholesky factorization of B. */
+
+    cpotrf_(uplo, n, &b[b_offset], ldb, info);
+    if (*info != 0) {
+	*info = *n + *info;
+	return 0;
+    }
+
+/*     Transform problem to standard eigenvalue problem and solve. */
+
+    chegst_(itype, uplo, n, &a[a_offset], lda, &b[b_offset], ldb, info);
+    cheevx_(jobz, range, uplo, n, &a[a_offset], lda, vl, vu, il, iu, abstol, 
+	    m, &w[1], &z__[z_offset], ldz, &work[1], lwork, &rwork[1], &iwork[
+	    1], &ifail[1], info);
+
+    if (wantz) {
+
+/*        Backtransform eigenvectors to the original problem. */
+
+	if (*info > 0) {
+	    *m = *info - 1;
+	}
+	if (*itype == 1 || *itype == 2) {
+
+/*           For A*x=(lambda)*B*x and A*B*x=(lambda)*x; */
+/*           backtransform eigenvectors: x = inv(L)'*y or inv(U)*y */
+
+	    if (upper) {
+		*(unsigned char *)trans = 'N';
+	    } else {
+		*(unsigned char *)trans = 'C';
+	    }
+
+	    ctrsm_("Left", uplo, trans, "Non-unit", n, m, &c_b1, &b[b_offset], 
+		     ldb, &z__[z_offset], ldz);
+
+	} else if (*itype == 3) {
+
+/*           For B*A*x=(lambda)*x; */
+/*           backtransform eigenvectors: x = L*y or U'*y */
+
+	    if (upper) {
+		*(unsigned char *)trans = 'C';
+	    } else {
+		*(unsigned char *)trans = 'N';
+	    }
+
+	    ctrmm_("Left", uplo, trans, "Non-unit", n, m, &c_b1, &b[b_offset], 
+		     ldb, &z__[z_offset], ldz);
+	}
+    }
+
+/*     Set WORK(1) to optimal complex workspace size. */
+
+    work[1].r = (real) lwkopt, work[1].i = 0.f;
+
+    return 0;
+
+/*     End of CHEGVX */
+
+} /* chegvx_ */