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).
232 lines
6.2 KiB
C
232 lines
6.2 KiB
C
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#include "hypre_lapack.h"
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#include "f2c.h"
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/* Subroutine */ HYPRE_Int dorgtr_(char *uplo, integer *n, doublereal *a, integer *
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lda, doublereal *tau, doublereal *work, integer *lwork, integer *info)
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{
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/* -- LAPACK 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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DORGTR generates a real orthogonal matrix Q which is defined as the
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product of n-1 elementary reflectors of order N, as returned by
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DSYTRD:
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if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),
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if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).
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Arguments
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=========
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UPLO (input) CHARACTER*1
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= 'U': Upper triangle of A contains elementary reflectors
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from DSYTRD;
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= 'L': Lower triangle of A contains elementary reflectors
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from DSYTRD.
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N (input) INTEGER
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The order of the matrix Q. N >= 0.
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A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
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On entry, the vectors which define the elementary reflectors,
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as returned by DSYTRD.
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On exit, the N-by-N orthogonal matrix Q.
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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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TAU (input) DOUBLE PRECISION array, dimension (N-1)
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TAU(i) must contain the scalar factor of the elementary
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reflector H(i), as returned by DSYTRD.
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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 dimension of the array WORK. LWORK >= max(1,N-1).
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For optimum performance LWORK >= (N-1)*NB, where NB is
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the optimal blocksize.
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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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=====================================================================
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Test the input arguments
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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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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2, i__3;
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/* Local variables */
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static integer i__, j;
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extern logical lsame_(char *, char *);
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static integer iinfo;
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static logical upper;
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static integer nb;
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extern /* Subroutine */ HYPRE_Int xerbla_(char *, integer *);
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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 dorgql_(integer *, integer *, integer *,
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doublereal *, integer *, doublereal *, doublereal *, integer *,
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integer *), dorgqr_(integer *, integer *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *, integer *);
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static integer lwkopt;
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static logical lquery;
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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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--tau;
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--work;
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/* Function Body */
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*info = 0;
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lquery = *lwork == -1;
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upper = lsame_(uplo, "U");
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if (! upper && ! lsame_(uplo, "L")) {
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*info = -1;
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} else if (*n < 0) {
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*info = -2;
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} else if (*lda < max(1,*n)) {
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*info = -4;
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} else /* if(complicated condition) */ {
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/* Computing MAX */
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i__1 = 1, i__2 = *n - 1;
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if (*lwork < max(i__1,i__2) && ! lquery) {
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*info = -7;
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}
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}
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if (*info == 0) {
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if (upper) {
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i__1 = *n - 1;
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i__2 = *n - 1;
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i__3 = *n - 1;
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nb = ilaenv_(&c__1, "DORGQL", " ", &i__1, &i__2, &i__3, &c_n1, (
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ftnlen)6, (ftnlen)1);
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} else {
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i__1 = *n - 1;
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i__2 = *n - 1;
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i__3 = *n - 1;
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nb = ilaenv_(&c__1, "DORGQR", " ", &i__1, &i__2, &i__3, &c_n1, (
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ftnlen)6, (ftnlen)1);
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}
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/* Computing MAX */
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i__1 = 1, i__2 = *n - 1;
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lwkopt = max(i__1,i__2) * nb;
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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_("DORGTR", &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 (upper) {
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/* Q was determined by a call to DSYTRD with UPLO = 'U'
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Shift the vectors which define the elementary reflectors one
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column to the left, and set the last row and column of Q to
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those of the unit matrix */
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i__1 = *n - 1;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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a_ref(i__, j) = a_ref(i__, j + 1);
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/* L10: */
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}
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a_ref(*n, j) = 0.;
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/* L20: */
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}
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i__1 = *n - 1;
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for (i__ = 1; i__ <= i__1; ++i__) {
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a_ref(i__, *n) = 0.;
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/* L30: */
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}
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a_ref(*n, *n) = 1.;
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/* Generate Q(1:n-1,1:n-1) */
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i__1 = *n - 1;
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i__2 = *n - 1;
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i__3 = *n - 1;
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dorgql_(&i__1, &i__2, &i__3, &a[a_offset], lda, &tau[1], &work[1],
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lwork, &iinfo);
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} else {
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/* Q was determined by a call to DSYTRD with UPLO = 'L'.
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Shift the vectors which define the elementary reflectors one
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column to the right, and set the first row and column of Q to
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those of the unit matrix */
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for (j = *n; j >= 2; --j) {
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a_ref(1, j) = 0.;
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i__1 = *n;
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for (i__ = j + 1; i__ <= i__1; ++i__) {
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a_ref(i__, j) = a_ref(i__, j - 1);
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/* L40: */
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}
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/* L50: */
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}
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a_ref(1, 1) = 1.;
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i__1 = *n;
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for (i__ = 2; i__ <= i__1; ++i__) {
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a_ref(i__, 1) = 0.;
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/* L60: */
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}
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if (*n > 1) {
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/* Generate Q(2:n,2:n) */
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i__1 = *n - 1;
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i__2 = *n - 1;
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i__3 = *n - 1;
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dorgqr_(&i__1, &i__2, &i__3, &a_ref(2, 2), lda, &tau[1], &work[1],
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lwork, &iinfo);
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}
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}
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work[1] = (doublereal) lwkopt;
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return 0;
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/* End of DORGTR */
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} /* dorgtr_ */
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#undef a_ref
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