[] add metering mode to CLI

1 files changed, 368 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zsysvx.c b/contrib/libs/clapack/zsysvx.c
new file mode 100644
index 0000000000..cdcb775a7c
--- /dev/null
+++ b/contrib/libs/clapack/zsysvx.c
@@ -0,0 +1,368 @@
+/* zsysvx.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;
+
+/* Subroutine */ int zsysvx_(char *fact, char *uplo, integer *n, integer *
+	nrhs, doublecomplex *a, integer *lda, doublecomplex *af, integer *
+	ldaf, integer *ipiv, doublecomplex *b, integer *ldb, doublecomplex *x, 
+	 integer *ldx, doublereal *rcond, doublereal *ferr, doublereal *berr, 
+	doublecomplex *work, integer *lwork, doublereal *rwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, af_dim1, af_offset, b_dim1, b_offset, x_dim1, 
+	    x_offset, i__1, i__2;
+
+    /* Local variables */
+    integer nb;
+    extern logical lsame_(char *, char *);
+    doublereal anorm;
+    extern doublereal dlamch_(char *);
+    logical nofact;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *);
+    integer lwkopt;
+    logical lquery;
+    extern doublereal zlansy_(char *, char *, integer *, doublecomplex *, 
+	    integer *, doublereal *);
+    extern /* Subroutine */ int zsycon_(char *, integer *, doublecomplex *, 
+	    integer *, integer *, doublereal *, doublereal *, doublecomplex *, 
+	     integer *), zsyrfs_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, integer *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublereal *, doublereal *, doublecomplex *, doublereal *, 
+	    integer *), zsytrf_(char *, integer *, doublecomplex *, 
+	    integer *, integer *, doublecomplex *, integer *, integer *), zsytrs_(char *, integer *, integer *, doublecomplex *, 
+	    integer *, integer *, doublecomplex *, integer *, integer *);
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZSYSVX uses the diagonal pivoting factorization to compute the */
+/*  solution to a complex system of linear equations A * X = B, */
+/*  where A is an N-by-N symmetric matrix and X and B are N-by-NRHS */
+/*  matrices. */
+
+/*  Error bounds on the solution and a condition estimate are also */
+/*  provided. */
+
+/*  Description */
+/*  =========== */
+
+/*  The following steps are performed: */
+
+/*  1. If FACT = 'N', the diagonal pivoting method is used to factor A. */
+/*     The form of the factorization is */
+/*        A = U * D * U**T,  if UPLO = 'U', or */
+/*        A = L * D * L**T,  if UPLO = 'L', */
+/*     where U (or L) is a product of permutation and unit upper (lower) */
+/*     triangular matrices, and D is symmetric and block diagonal with */
+/*     1-by-1 and 2-by-2 diagonal blocks. */
+
+/*  2. If some D(i,i)=0, so that D is exactly singular, then the routine */
+/*     returns with INFO = i. Otherwise, the factored form of A is used */
+/*     to estimate the condition number of the matrix A.  If the */
+/*     reciprocal of the condition number is less than machine precision, */
+/*     INFO = N+1 is returned as a warning, but the routine still goes on */
+/*     to solve for X and compute error bounds as described below. */
+
+/*  3. The system of equations is solved for X using the factored form */
+/*     of A. */
+
+/*  4. Iterative refinement is applied to improve the computed solution */
+/*     matrix and calculate error bounds and backward error estimates */
+/*     for it. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  FACT    (input) CHARACTER*1 */
+/*          Specifies whether or not the factored form of A has been */
+/*          supplied on entry. */
+/*          = 'F':  On entry, AF and IPIV contain the factored form */
+/*                  of A.  A, AF and IPIV will not be modified. */
+/*          = 'N':  The matrix A will be copied to AF and factored. */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          = 'U':  Upper triangle of A is stored; */
+/*          = 'L':  Lower triangle of A is stored. */
+
+/*  N       (input) INTEGER */
+/*          The number of linear equations, i.e., the order of the */
+/*          matrix A.  N >= 0. */
+
+/*  NRHS    (input) INTEGER */
+/*          The number of right hand sides, i.e., the number of columns */
+/*          of the matrices B and X.  NRHS >= 0. */
+
+/*  A       (input) COMPLEX*16 array, dimension (LDA,N) */
+/*          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. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  AF      (input or output) COMPLEX*16 array, dimension (LDAF,N) */
+/*          If FACT = 'F', then AF is an input argument and on entry */
+/*          contains the block diagonal matrix D and the multipliers used */
+/*          to obtain the factor U or L from the factorization */
+/*          A = U*D*U**T or A = L*D*L**T as computed by ZSYTRF. */
+
+/*          If FACT = 'N', then AF is an output argument and on exit */
+/*          returns the block diagonal matrix D and the multipliers used */
+/*          to obtain the factor U or L from the factorization */
+/*          A = U*D*U**T or A = L*D*L**T. */
+
+/*  LDAF    (input) INTEGER */
+/*          The leading dimension of the array AF.  LDAF >= max(1,N). */
+
+/*  IPIV    (input or output) INTEGER array, dimension (N) */
+/*          If FACT = 'F', then IPIV is an input argument and on entry */
+/*          contains details of the interchanges and the block structure */
+/*          of D, as determined by ZSYTRF. */
+/*          If IPIV(k) > 0, then rows and columns k and IPIV(k) were */
+/*          interchanged and D(k,k) is a 1-by-1 diagonal block. */
+/*          If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0, then rows and */
+/*          columns k-1 and -IPIV(k) were interchanged and D(k-1:k,k-1:k) */
+/*          is a 2-by-2 diagonal block.  If UPLO = 'L' and IPIV(k) = */
+/*          IPIV(k+1) < 0, then rows and columns k+1 and -IPIV(k) were */
+/*          interchanged and D(k:k+1,k:k+1) is a 2-by-2 diagonal block. */
+
+/*          If FACT = 'N', then IPIV is an output argument and on exit */
+/*          contains details of the interchanges and the block structure */
+/*          of D, as determined by ZSYTRF. */
+
+/*  B       (input) COMPLEX*16 array, dimension (LDB,NRHS) */
+/*          The N-by-NRHS right hand side matrix B. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the array B.  LDB >= max(1,N). */
+
+/*  X       (output) COMPLEX*16 array, dimension (LDX,NRHS) */
+/*          If INFO = 0 or INFO = N+1, the N-by-NRHS solution matrix X. */
+
+/*  LDX     (input) INTEGER */
+/*          The leading dimension of the array X.  LDX >= max(1,N). */
+
+/*  RCOND   (output) DOUBLE PRECISION */
+/*          The estimate of the reciprocal condition number of the matrix */
+/*          A.  If RCOND is less than the machine precision (in */
+/*          particular, if RCOND = 0), the matrix is singular to working */
+/*          precision.  This condition is indicated by a return code of */
+/*          INFO > 0. */
+
+/*  FERR    (output) DOUBLE PRECISION array, dimension (NRHS) */
+/*          The estimated forward error bound for each solution vector */
+/*          X(j) (the j-th column of the solution matrix X). */
+/*          If XTRUE is the true solution corresponding to X(j), FERR(j) */
+/*          is an estimated upper bound for the magnitude of the largest */
+/*          element in (X(j) - XTRUE) divided by the magnitude of the */
+/*          largest element in X(j).  The estimate is as reliable as */
+/*          the estimate for RCOND, and is almost always a slight */
+/*          overestimate of the true error. */
+
+/*  BERR    (output) DOUBLE PRECISION array, dimension (NRHS) */
+/*          The componentwise relative backward error of each solution */
+/*          vector X(j) (i.e., the smallest relative change in */
+/*          any element of A or B that makes X(j) an exact solution). */
+
+/*  WORK    (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/*  LWORK   (input) INTEGER */
+/*          The length of WORK.  LWORK >= max(1,2*N), and for best */
+/*          performance, when FACT = 'N', LWORK >= max(1,2*N,N*NB), where */
+/*          NB is the optimal blocksize for ZSYTRF. */
+
+/*          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) DOUBLE PRECISION array, dimension (N) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0: successful exit */
+/*          < 0: if INFO = -i, the i-th argument had an illegal value */
+/*          > 0: if INFO = i, and i is */
+/*                <= N:  D(i,i) is exactly zero.  The factorization */
+/*                       has been completed but the factor D is exactly */
+/*                       singular, so the solution and error bounds could */
+/*                       not be computed. RCOND = 0 is returned. */
+/*                = N+1: D is nonsingular, but RCOND is less than machine */
+/*                       precision, meaning that the matrix is singular */
+/*                       to working precision.  Nevertheless, the */
+/*                       solution and error bounds are computed because */
+/*                       there are a number of situations where the */
+/*                       computed solution can be more accurate than the */
+/*                       value of RCOND would suggest. */
+
+/*  ===================================================================== */
+
+/*     .. 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;
+    af_dim1 = *ldaf;
+    af_offset = 1 + af_dim1;
+    af -= af_offset;
+    --ipiv;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    x_dim1 = *ldx;
+    x_offset = 1 + x_dim1;
+    x -= x_offset;
+    --ferr;
+    --berr;
+    --work;
+    --rwork;
+
+    /* Function Body */
+    *info = 0;
+    nofact = lsame_(fact, "N");
+    lquery = *lwork == -1;
+    if (! nofact && ! lsame_(fact, "F")) {
+	*info = -1;
+    } else if (! lsame_(uplo, "U") && ! lsame_(uplo, 
+	    "L")) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*nrhs < 0) {
+	*info = -4;
+    } else if (*lda < max(1,*n)) {
+	*info = -6;
+    } else if (*ldaf < max(1,*n)) {
+	*info = -8;
+    } else if (*ldb < max(1,*n)) {
+	*info = -11;
+    } else if (*ldx < max(1,*n)) {
+	*info = -13;
+    } else /* if(complicated condition) */ {
+/* Computing MAX */
+	i__1 = 1, i__2 = *n << 1;
+	if (*lwork < max(i__1,i__2) && ! lquery) {
+	    *info = -18;
+	}
+    }
+
+    if (*info == 0) {
+/* Computing MAX */
+	i__1 = 1, i__2 = *n << 1;
+	lwkopt = max(i__1,i__2);
+	if (nofact) {
+	    nb = ilaenv_(&c__1, "ZSYTRF", uplo, n, &c_n1, &c_n1, &c_n1);
+/* Computing MAX */
+	    i__1 = lwkopt, i__2 = *n * nb;
+	    lwkopt = max(i__1,i__2);
+	}
+	work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZSYSVX", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+    if (nofact) {
+
+/*        Compute the factorization A = U*D*U' or A = L*D*L'. */
+
+	zlacpy_(uplo, n, n, &a[a_offset], lda, &af[af_offset], ldaf);
+	zsytrf_(uplo, n, &af[af_offset], ldaf, &ipiv[1], &work[1], lwork, 
+		info);
+
+/*        Return if INFO is non-zero. */
+
+	if (*info > 0) {
+	    *rcond = 0.;
+	    return 0;
+	}
+    }
+
+/*     Compute the norm of the matrix A. */
+
+    anorm = zlansy_("I", uplo, n, &a[a_offset], lda, &rwork[1]);
+
+/*     Compute the reciprocal of the condition number of A. */
+
+    zsycon_(uplo, n, &af[af_offset], ldaf, &ipiv[1], &anorm, rcond, &work[1], 
+	    info);
+
+/*     Compute the solution vectors X. */
+
+    zlacpy_("Full", n, nrhs, &b[b_offset], ldb, &x[x_offset], ldx);
+    zsytrs_(uplo, n, nrhs, &af[af_offset], ldaf, &ipiv[1], &x[x_offset], ldx, 
+	    info);
+
+/*     Use iterative refinement to improve the computed solutions and */
+/*     compute error bounds and backward error estimates for them. */
+
+    zsyrfs_(uplo, n, nrhs, &a[a_offset], lda, &af[af_offset], ldaf, &ipiv[1], 
+	    &b[b_offset], ldb, &x[x_offset], ldx, &ferr[1], &berr[1], &work[1]
+, &rwork[1], info);
+
+/*     Set INFO = N+1 if the matrix is singular to working precision. */
+
+    if (*rcond < dlamch_("Epsilon")) {
+	*info = *n + 1;
+    }
+
+    work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+
+    return 0;
+
+/*     End of ZSYSVX */
+
+} /* zsysvx_ */