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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/sstevd.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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1 files changed, 270 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sstevd.c b/contrib/libs/clapack/sstevd.c
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+/* sstevd.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;
+
+/* Subroutine */ int sstevd_(char *jobz, integer *n, real *d__, real *e, real
+ *z__, integer *ldz, real *work, integer *lwork, integer *iwork,
+ integer *liwork, integer *info)
+{
+ /* System generated locals */
+ integer z_dim1, z_offset, i__1;
+ real r__1;
+
+ /* Builtin functions */
+ double sqrt(doublereal);
+
+ /* Local variables */
+ real eps, rmin, rmax, tnrm, sigma;
+ extern logical lsame_(char *, char *);
+ extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
+ integer lwmin;
+ logical wantz;
+ integer iscale;
+ extern doublereal slamch_(char *);
+ real safmin;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ real bignum;
+ extern /* Subroutine */ int sstedc_(char *, integer *, real *, real *,
+ real *, integer *, real *, integer *, integer *, integer *,
+ integer *);
+ integer liwmin;
+ extern doublereal slanst_(char *, integer *, real *, real *);
+ extern /* Subroutine */ int ssterf_(integer *, real *, real *, integer *);
+ real smlnum;
+ 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 */
+/* ======= */
+
+/* SSTEVD computes all eigenvalues and, optionally, eigenvectors of a */
+/* real symmetric tridiagonal matrix. If eigenvectors are desired, it */
+/* uses a divide and conquer algorithm. */
+
+/* The divide and conquer algorithm makes very mild assumptions about */
+/* floating point arithmetic. It will work on machines with a guard */
+/* digit in add/subtract, or on those binary machines without guard */
+/* digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or */
+/* Cray-2. It could conceivably fail on hexadecimal or decimal machines */
+/* without guard digits, but we know of none. */
+
+/* Arguments */
+/* ========= */
+
+/* JOBZ (input) CHARACTER*1 */
+/* = 'N': Compute eigenvalues only; */
+/* = 'V': Compute eigenvalues and eigenvectors. */
+
+/* N (input) INTEGER */
+/* The order of the matrix. N >= 0. */
+
+/* D (input/output) REAL array, dimension (N) */
+/* On entry, the n diagonal elements of the tridiagonal matrix */
+/* A. */
+/* On exit, if INFO = 0, the eigenvalues in ascending order. */
+
+/* E (input/output) REAL array, dimension (N-1) */
+/* On entry, the (n-1) subdiagonal elements of the tridiagonal */
+/* matrix A, stored in elements 1 to N-1 of E. */
+/* On exit, the contents of E are destroyed. */
+
+/* Z (output) REAL array, dimension (LDZ, N) */
+/* If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal */
+/* eigenvectors of the matrix A, with the i-th column of Z */
+/* holding the eigenvector associated with D(i). */
+/* If JOBZ = 'N', then Z is not referenced. */
+
+/* LDZ (input) INTEGER */
+/* The leading dimension of the array Z. LDZ >= 1, and if */
+/* JOBZ = 'V', LDZ >= max(1,N). */
+
+/* WORK (workspace/output) REAL array, */
+/* dimension (LWORK) */
+/* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/* LWORK (input) INTEGER */
+/* The dimension of the array WORK. */
+/* If JOBZ = 'N' or N <= 1 then LWORK must be at least 1. */
+/* If JOBZ = 'V' and N > 1 then LWORK must be at least */
+/* ( 1 + 4*N + N**2 ). */
+
+/* If LWORK = -1, then a workspace query is assumed; the routine */
+/* only calculates the optimal sizes of the WORK and IWORK */
+/* arrays, returns these values as the first entries of the WORK */
+/* and IWORK arrays, and no error message related to LWORK or */
+/* LIWORK is issued by XERBLA. */
+
+/* IWORK (workspace/output) INTEGER array, dimension (MAX(1,LIWORK)) */
+/* On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK. */
+
+/* LIWORK (input) INTEGER */
+/* The dimension of the array IWORK. */
+/* If JOBZ = 'N' or N <= 1 then LIWORK must be at least 1. */
+/* If JOBZ = 'V' and N > 1 then LIWORK must be at least 3+5*N. */
+
+/* If LIWORK = -1, then a workspace query is assumed; the */
+/* routine only calculates the optimal sizes of the WORK and */
+/* IWORK arrays, returns these values as the first entries of */
+/* the WORK and IWORK arrays, and no error message related to */
+/* LWORK or LIWORK is issued by XERBLA. */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+/* > 0: if INFO = i, the algorithm failed to converge; i */
+/* off-diagonal elements of E did not converge to zero. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ --d__;
+ --e;
+ z_dim1 = *ldz;
+ z_offset = 1 + z_dim1;
+ z__ -= z_offset;
+ --work;
+ --iwork;
+
+ /* Function Body */
+ wantz = lsame_(jobz, "V");
+ lquery = *lwork == -1 || *liwork == -1;
+
+ *info = 0;
+ liwmin = 1;
+ lwmin = 1;
+ if (*n > 1 && wantz) {
+/* Computing 2nd power */
+ i__1 = *n;
+ lwmin = (*n << 2) + 1 + i__1 * i__1;
+ liwmin = *n * 5 + 3;
+ }
+
+ if (! (wantz || lsame_(jobz, "N"))) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ } else if (*ldz < 1 || wantz && *ldz < *n) {
+ *info = -6;
+ }
+
+ if (*info == 0) {
+ work[1] = (real) lwmin;
+ iwork[1] = liwmin;
+
+ if (*lwork < lwmin && ! lquery) {
+ *info = -8;
+ } else if (*liwork < liwmin && ! lquery) {
+ *info = -10;
+ }
+ }
+
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("SSTEVD", &i__1);
+ return 0;
+ } else if (lquery) {
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n == 0) {
+ return 0;
+ }
+
+ if (*n == 1) {
+ if (wantz) {
+ z__[z_dim1 + 1] = 1.f;
+ }
+ return 0;
+ }
+
+/* Get machine constants. */
+
+ safmin = slamch_("Safe minimum");
+ eps = slamch_("Precision");
+ smlnum = safmin / eps;
+ bignum = 1.f / smlnum;
+ rmin = sqrt(smlnum);
+ rmax = sqrt(bignum);
+
+/* Scale matrix to allowable range, if necessary. */
+
+ iscale = 0;
+ tnrm = slanst_("M", n, &d__[1], &e[1]);
+ if (tnrm > 0.f && tnrm < rmin) {
+ iscale = 1;
+ sigma = rmin / tnrm;
+ } else if (tnrm > rmax) {
+ iscale = 1;
+ sigma = rmax / tnrm;
+ }
+ if (iscale == 1) {
+ sscal_(n, &sigma, &d__[1], &c__1);
+ i__1 = *n - 1;
+ sscal_(&i__1, &sigma, &e[1], &c__1);
+ }
+
+/* For eigenvalues only, call SSTERF. For eigenvalues and */
+/* eigenvectors, call SSTEDC. */
+
+ if (! wantz) {
+ ssterf_(n, &d__[1], &e[1], info);
+ } else {
+ sstedc_("I", n, &d__[1], &e[1], &z__[z_offset], ldz, &work[1], lwork,
+ &iwork[1], liwork, info);
+ }
+
+/* If matrix was scaled, then rescale eigenvalues appropriately. */
+
+ if (iscale == 1) {
+ r__1 = 1.f / sigma;
+ sscal_(n, &r__1, &d__[1], &c__1);
+ }
+
+ work[1] = (real) lwmin;
+ iwork[1] = liwmin;
+
+ return 0;
+
+/* End of SSTEVD */
+
+} /* sstevd_ */