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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/sstegr.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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+/* sstegr.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"
+
+/* Subroutine */ int sstegr_(char *jobz, char *range, integer *n, real *d__,
+ real *e, real *vl, real *vu, integer *il, integer *iu, real *abstol,
+ integer *m, real *w, real *z__, integer *ldz, integer *isuppz, real *
+ work, integer *lwork, integer *iwork, integer *liwork, integer *info)
+{
+ /* System generated locals */
+ integer z_dim1, z_offset;
+
+ /* Local variables */
+ logical tryrac;
+ extern /* Subroutine */ int sstemr_(char *, char *, integer *, real *,
+ real *, real *, real *, integer *, integer *, integer *, real *,
+ real *, integer *, integer *, integer *, logical *, real *,
+ integer *, integer *, integer *, integer *);
+
+
+
+/* -- LAPACK computational routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SSTEGR computes selected eigenvalues and, optionally, eigenvectors */
+/* of a real symmetric tridiagonal matrix T. Any such unreduced matrix has */
+/* a well defined set of pairwise different real eigenvalues, the corresponding */
+/* real eigenvectors are pairwise orthogonal. */
+
+/* The spectrum may be computed either completely or partially by specifying */
+/* either an interval (VL,VU] or a range of indices IL:IU for the desired */
+/* eigenvalues. */
+
+/* SSTEGR is a compatability wrapper around the improved SSTEMR routine. */
+/* See SSTEMR for further details. */
+
+/* One important change is that the ABSTOL parameter no longer provides any */
+/* benefit and hence is no longer used. */
+
+/* Note : SSTEGR and SSTEMR work only on machines which follow */
+/* IEEE-754 floating-point standard in their handling of infinities and */
+/* NaNs. Normal execution may create these exceptiona values and hence */
+/* may abort due to a floating point exception in environments which */
+/* do not conform to the IEEE-754 standard. */
+
+/* Arguments */
+/* ========= */
+
+/* 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. */
+
+/* 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 */
+/* T. On exit, D is overwritten. */
+
+/* E (input/output) REAL array, dimension (N) */
+/* On entry, the (N-1) subdiagonal elements of the tridiagonal */
+/* matrix T in elements 1 to N-1 of E. E(N) need not be set on */
+/* input, but is used internally as workspace. */
+/* On exit, E is overwritten. */
+
+/* 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. */
+/* Not referenced if RANGE = 'A' or 'V'. */
+
+/* ABSTOL (input) REAL */
+/* Unused. Was the absolute error tolerance for the */
+/* eigenvalues/eigenvectors in previous versions. */
+
+/* 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) REAL array, dimension (LDZ, max(1,M) ) */
+/* If JOBZ = 'V', and if INFO = 0, then the first M columns of Z */
+/* contain the orthonormal eigenvectors of the matrix T */
+/* corresponding to the selected eigenvalues, with the i-th */
+/* column of Z holding the eigenvector associated with W(i). */
+/* If JOBZ = 'N', then Z is not referenced. */
+/* 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. */
+/* Supplying N columns is always safe. */
+
+/* LDZ (input) INTEGER */
+/* The leading dimension of the array Z. LDZ >= 1, and if */
+/* JOBZ = 'V', then LDZ >= max(1,N). */
+
+/* ISUPPZ (output) INTEGER ARRAY, dimension ( 2*max(1,M) ) */
+/* The support of the eigenvectors in Z, i.e., the indices */
+/* indicating the nonzero elements in Z. The i-th computed eigenvector */
+/* is nonzero only in elements ISUPPZ( 2*i-1 ) through */
+/* ISUPPZ( 2*i ). This is relevant in the case when the matrix */
+/* is split. ISUPPZ is only accessed when JOBZ is 'V' and N > 0. */
+
+/* WORK (workspace/output) REAL array, dimension (LWORK) */
+/* On exit, if INFO = 0, WORK(1) returns the optimal */
+/* (and minimal) LWORK. */
+
+/* LWORK (input) INTEGER */
+/* The dimension of the array WORK. LWORK >= max(1,18*N) */
+/* if JOBZ = 'V', and LWORK >= max(1,12*N) if JOBZ = 'N'. */
+/* 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. */
+
+/* IWORK (workspace/output) INTEGER array, dimension (LIWORK) */
+/* On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK. */
+
+/* LIWORK (input) INTEGER */
+/* The dimension of the array IWORK. LIWORK >= max(1,10*N) */
+/* if the eigenvectors are desired, and LIWORK >= max(1,8*N) */
+/* if only the eigenvalues are to be computed. */
+/* If LIWORK = -1, then a workspace query is assumed; the */
+/* routine only calculates the optimal size of the IWORK array, */
+/* returns this value as the first entry of the IWORK array, and */
+/* no error message related to LIWORK is issued by XERBLA. */
+
+/* INFO (output) INTEGER */
+/* On exit, INFO */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+/* > 0: if INFO = 1X, internal error in SLARRE, */
+/* if INFO = 2X, internal error in SLARRV. */
+/* Here, the digit X = ABS( IINFO ) < 10, where IINFO is */
+/* the nonzero error code returned by SLARRE or */
+/* SLARRV, respectively. */
+
+/* Further Details */
+/* =============== */
+
+/* Based on contributions by */
+/* Inderjit Dhillon, IBM Almaden, USA */
+/* Osni Marques, LBNL/NERSC, USA */
+/* Christof Voemel, LBNL/NERSC, USA */
+
+/* ===================================================================== */
+
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Executable Statements .. */
+ /* Parameter adjustments */
+ --d__;
+ --e;
+ --w;
+ z_dim1 = *ldz;
+ z_offset = 1 + z_dim1;
+ z__ -= z_offset;
+ --isuppz;
+ --work;
+ --iwork;
+
+ /* Function Body */
+ *info = 0;
+ tryrac = FALSE_;
+ sstemr_(jobz, range, n, &d__[1], &e[1], vl, vu, il, iu, m, &w[1], &z__[
+ z_offset], ldz, n, &isuppz[1], &tryrac, &work[1], lwork, &iwork[1]
+, liwork, info);
+
+/* End of SSTEGR */
+
+ return 0;
+} /* sstegr_ */