e3181f26b1
Changed MPI routines to hypre_MPI routines. Added hypre_printf, etc. routines. Added AUTOTEST tests to look for 'int' and 'MPI_' calls. Added a new approach for the Fortran interface (not implemented everywhere yet).
265 lines
7.9 KiB
C
265 lines
7.9 KiB
C
#include "../blas/hypre_blas.h"
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#include "hypre_lapack.h"
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#include "f2c.h"
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/* Subroutine */ HYPRE_Int dsyev_(char *jobz, char *uplo, integer *n, doublereal *a,
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integer *lda, doublereal *w, doublereal *work, integer *lwork,
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integer *info)
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{
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/* -- LAPACK driver routine (version 3.0) --
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Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
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Courant Institute, Argonne National Lab, and Rice University
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June 30, 1999
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Purpose
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=======
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DSYEV computes all eigenvalues and, optionally, eigenvectors of a
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real symmetric matrix A.
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Arguments
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=========
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JOBZ (input) CHARACTER*1
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= 'N': Compute eigenvalues only;
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= 'V': Compute eigenvalues and eigenvectors.
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UPLO (input) CHARACTER*1
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= 'U': Upper triangle of A is stored;
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= 'L': Lower triangle of A is stored.
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N (input) INTEGER
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The order of the matrix A. N >= 0.
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A (input/output) DOUBLE PRECISION array, dimension (LDA, N)
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On entry, the symmetric matrix A. If UPLO = 'U', the
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leading N-by-N upper triangular part of A contains the
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upper triangular part of the matrix A. If UPLO = 'L',
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the leading N-by-N lower triangular part of A contains
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the lower triangular part of the matrix A.
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On exit, if JOBZ = 'V', then if INFO = 0, A contains the
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orthonormal eigenvectors of the matrix A.
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If JOBZ = 'N', then on exit the lower triangle (if UPLO='L')
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or the upper triangle (if UPLO='U') of A, including the
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diagonal, is destroyed.
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LDA (input) INTEGER
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The leading dimension of the array A. LDA >= max(1,N).
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W (output) DOUBLE PRECISION array, dimension (N)
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If INFO = 0, the eigenvalues in ascending order.
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WORK (workspace/output) DOUBLE PRECISION array, dimension (LWORK)
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On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
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LWORK (input) INTEGER
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The length of the array WORK. LWORK >= max(1,3*N-1).
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For optimal efficiency, LWORK >= (NB+2)*N,
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where NB is the blocksize for DSYTRD returned by ILAENV.
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If LWORK = -1, then a workspace query is assumed; the routine
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only calculates the optimal size of the WORK array, returns
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this value as the first entry of the WORK array, and no error
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message related to LWORK is issued by XERBLA.
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INFO (output) INTEGER
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= 0: successful exit
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< 0: if INFO = -i, the i-th argument had an illegal value
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> 0: if INFO = i, the algorithm failed to converge; i
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off-diagonal elements of an intermediate tridiagonal
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form did not converge to zero.
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=====================================================================
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Test the input parameters.
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Parameter adjustments */
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/* Table of constant values */
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static integer c__1 = 1;
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static integer c_n1 = -1;
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static integer c__0 = 0;
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static doublereal c_b17 = 1.;
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2;
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doublereal d__1;
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/* Builtin functions */
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double sqrt(doublereal);
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/* Local variables */
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static integer inde;
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static doublereal anrm;
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static integer imax;
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static doublereal rmin, rmax;
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/***static integer lopt;***/
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extern /* Subroutine */ HYPRE_Int dscal_(integer *, doublereal *, doublereal *,
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integer *);
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static doublereal sigma;
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extern logical lsame_(char *, char *);
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static integer iinfo;
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static logical lower, wantz;
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static integer nb;
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extern doublereal dlamch_(char *);
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static integer iscale;
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extern /* Subroutine */ HYPRE_Int dlascl_(char *, integer *, integer *,
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doublereal *, doublereal *, integer *, integer *, doublereal *,
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integer *, integer *);
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static doublereal safmin;
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
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integer *, integer *, ftnlen, ftnlen);
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extern /* Subroutine */ HYPRE_Int xerbla_(char *, integer *);
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static doublereal bignum;
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static integer indtau;
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extern /* Subroutine */ HYPRE_Int dsterf_(integer *, doublereal *, doublereal *,
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integer *);
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extern doublereal dlansy_(char *, char *, integer *, doublereal *,
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integer *, doublereal *);
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static integer indwrk;
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extern /* Subroutine */ HYPRE_Int dorgtr_(char *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *, integer *), dsteqr_(char *, integer *, doublereal *, doublereal *,
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doublereal *, integer *, doublereal *, integer *),
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dsytrd_(char *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, doublereal *, doublereal *, integer *, integer *);
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static integer llwork;
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static doublereal smlnum;
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static integer lwkopt;
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static logical lquery;
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static doublereal eps;
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#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
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a_dim1 = *lda;
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a_offset = 1 + a_dim1 * 1;
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a -= a_offset;
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--w;
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--work;
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/* Function Body */
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wantz = lsame_(jobz, "V");
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lower = lsame_(uplo, "L");
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lquery = *lwork == -1;
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*info = 0;
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if (! (wantz || lsame_(jobz, "N"))) {
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*info = -1;
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} else if (! (lower || lsame_(uplo, "U"))) {
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*info = -2;
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} else if (*n < 0) {
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*info = -3;
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} else if (*lda < max(1,*n)) {
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*info = -5;
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} else /* if(complicated condition) */ {
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/* Computing MAX */
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i__1 = 1, i__2 = *n * 3 - 1;
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if (*lwork < max(i__1,i__2) && ! lquery) {
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*info = -8;
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}
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}
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if (*info == 0) {
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nb = ilaenv_(&c__1, "DSYTRD", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6,
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(ftnlen)1);
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/* Computing MAX */
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i__1 = 1, i__2 = (nb + 2) * *n;
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lwkopt = max(i__1,i__2);
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work[1] = (doublereal) lwkopt;
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}
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if (*info != 0) {
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i__1 = -(*info);
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xerbla_("DSYEV ", &i__1);
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return 0;
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} else if (lquery) {
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return 0;
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}
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/* Quick return if possible */
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if (*n == 0) {
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work[1] = 1.;
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return 0;
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}
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if (*n == 1) {
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w[1] = a_ref(1, 1);
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work[1] = 3.;
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if (wantz) {
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a_ref(1, 1) = 1.;
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}
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return 0;
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}
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/* Get machine constants. */
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safmin = dlamch_("Safe minimum");
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eps = dlamch_("Precision");
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smlnum = safmin / eps;
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bignum = 1. / smlnum;
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rmin = sqrt(smlnum);
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rmax = sqrt(bignum);
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/* Scale matrix to allowable range, if necessary. */
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anrm = dlansy_("M", uplo, n, &a[a_offset], lda, &work[1]);
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iscale = 0;
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if (anrm > 0. && anrm < rmin) {
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iscale = 1;
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sigma = rmin / anrm;
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} else if (anrm > rmax) {
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iscale = 1;
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sigma = rmax / anrm;
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}
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if (iscale == 1) {
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dlascl_(uplo, &c__0, &c__0, &c_b17, &sigma, n, n, &a[a_offset], lda,
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info);
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}
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/* Call DSYTRD to reduce symmetric matrix to tridiagonal form. */
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inde = 1;
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indtau = inde + *n;
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indwrk = indtau + *n;
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llwork = *lwork - indwrk + 1;
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dsytrd_(uplo, n, &a[a_offset], lda, &w[1], &work[inde], &work[indtau], &
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work[indwrk], &llwork, &iinfo);
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/***lopt = (integer) ((*n << 1) + work[indwrk]);***/
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/* For eigenvalues only, call DSTERF. For eigenvectors, first call
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DORGTR to generate the orthogonal matrix, then call DSTEQR. */
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if (! wantz) {
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dsterf_(n, &w[1], &work[inde], info);
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} else {
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dorgtr_(uplo, n, &a[a_offset], lda, &work[indtau], &work[indwrk], &
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llwork, &iinfo);
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dsteqr_(jobz, n, &w[1], &work[inde], &a[a_offset], lda, &work[indtau],
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info);
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}
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/* If matrix was scaled, then rescale eigenvalues appropriately. */
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if (iscale == 1) {
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if (*info == 0) {
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imax = *n;
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} else {
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imax = *info - 1;
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}
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d__1 = 1. / sigma;
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dscal_(&imax, &d__1, &w[1], &c__1);
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}
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/* Set WORK(1) to optimal workspace size. */
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work[1] = (doublereal) lwkopt;
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return 0;
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/* End of DSYEV */
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} /* dsyev_ */
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#undef a_ref
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