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299 lines
8.5 KiB
299 lines
8.5 KiB
/* dorgbr.f -- translated by f2c (version 20061008). |
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You must link the resulting object file with libf2c: |
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on Microsoft Windows system, link with libf2c.lib; |
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm |
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or, if you install libf2c.a in a standard place, with -lf2c -lm |
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-- in that order, at the end of the command line, as in |
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cc *.o -lf2c -lm |
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., |
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http://www.netlib.org/f2c/libf2c.zip |
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*/ |
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#include "clapack.h" |
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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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/* Subroutine */ int dorgbr_(char *vect, integer *m, integer *n, integer *k, |
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doublereal *a, integer *lda, doublereal *tau, doublereal *work, |
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integer *lwork, integer *info) |
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{ |
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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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integer i__, j, nb, mn; |
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extern logical lsame_(char *, char *); |
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integer iinfo; |
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logical wantq; |
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extern /* Subroutine */ int xerbla_(char *, integer *); |
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *, |
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integer *, integer *); |
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extern /* Subroutine */ int dorglq_(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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integer lwkopt; |
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logical lquery; |
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/* -- LAPACK routine (version 3.2) -- */ |
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/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ |
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/* November 2006 */ |
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/* .. Scalar Arguments .. */ |
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/* .. */ |
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/* .. Array Arguments .. */ |
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/* .. */ |
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/* Purpose */ |
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/* ======= */ |
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/* DORGBR generates one of the real orthogonal matrices Q or P**T */ |
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/* determined by DGEBRD when reducing a real matrix A to bidiagonal */ |
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/* form: A = Q * B * P**T. Q and P**T are defined as products of */ |
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/* elementary reflectors H(i) or G(i) respectively. */ |
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/* If VECT = 'Q', A is assumed to have been an M-by-K matrix, and Q */ |
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/* is of order M: */ |
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/* if m >= k, Q = H(1) H(2) . . . H(k) and DORGBR returns the first n */ |
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/* columns of Q, where m >= n >= k; */ |
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/* if m < k, Q = H(1) H(2) . . . H(m-1) and DORGBR returns Q as an */ |
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/* M-by-M matrix. */ |
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/* If VECT = 'P', A is assumed to have been a K-by-N matrix, and P**T */ |
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/* is of order N: */ |
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/* if k < n, P**T = G(k) . . . G(2) G(1) and DORGBR returns the first m */ |
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/* rows of P**T, where n >= m >= k; */ |
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/* if k >= n, P**T = G(n-1) . . . G(2) G(1) and DORGBR returns P**T as */ |
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/* an N-by-N matrix. */ |
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/* Arguments */ |
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/* ========= */ |
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/* VECT (input) CHARACTER*1 */ |
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/* Specifies whether the matrix Q or the matrix P**T is */ |
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/* required, as defined in the transformation applied by DGEBRD: */ |
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/* = 'Q': generate Q; */ |
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/* = 'P': generate P**T. */ |
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/* M (input) INTEGER */ |
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/* The number of rows of the matrix Q or P**T to be returned. */ |
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/* M >= 0. */ |
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/* N (input) INTEGER */ |
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/* The number of columns of the matrix Q or P**T to be returned. */ |
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/* N >= 0. */ |
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/* If VECT = 'Q', M >= N >= min(M,K); */ |
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/* if VECT = 'P', N >= M >= min(N,K). */ |
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/* K (input) INTEGER */ |
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/* If VECT = 'Q', the number of columns in the original M-by-K */ |
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/* matrix reduced by DGEBRD. */ |
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/* If VECT = 'P', the number of rows in the original K-by-N */ |
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/* matrix reduced by DGEBRD. */ |
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/* K >= 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 DGEBRD. */ |
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/* On exit, the M-by-N matrix Q or P**T. */ |
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/* LDA (input) INTEGER */ |
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/* The leading dimension of the array A. LDA >= max(1,M). */ |
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/* TAU (input) DOUBLE PRECISION array, dimension */ |
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/* (min(M,K)) if VECT = 'Q' */ |
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/* (min(N,K)) if VECT = 'P' */ |
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/* TAU(i) must contain the scalar factor of the elementary */ |
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/* reflector H(i) or G(i), which determines Q or P**T, as */ |
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/* returned by DGEBRD in its array argument TAUQ or TAUP. */ |
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/* WORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,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,min(M,N)). */ |
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/* For optimum performance LWORK >= min(M,N)*NB, where NB */ |
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/* is 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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/* .. Parameters .. */ |
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/* .. */ |
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/* .. Local Scalars .. */ |
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/* .. */ |
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/* .. External Functions .. */ |
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/* .. */ |
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/* .. External Subroutines .. */ |
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/* .. */ |
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/* .. Intrinsic Functions .. */ |
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/* .. */ |
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/* .. Executable Statements .. */ |
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/* Test the input arguments */ |
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/* Parameter adjustments */ |
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a_dim1 = *lda; |
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a_offset = 1 + a_dim1; |
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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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wantq = lsame_(vect, "Q"); |
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mn = min(*m,*n); |
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lquery = *lwork == -1; |
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if (! wantq && ! lsame_(vect, "P")) { |
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*info = -1; |
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} else if (*m < 0) { |
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*info = -2; |
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} else if (*n < 0 || wantq && (*n > *m || *n < min(*m,*k)) || ! wantq && ( |
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*m > *n || *m < min(*n,*k))) { |
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*info = -3; |
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} else if (*k < 0) { |
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*info = -4; |
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} else if (*lda < max(1,*m)) { |
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*info = -6; |
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} else if (*lwork < max(1,mn) && ! lquery) { |
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*info = -9; |
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} |
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if (*info == 0) { |
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if (wantq) { |
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nb = ilaenv_(&c__1, "DORGQR", " ", m, n, k, &c_n1); |
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} else { |
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nb = ilaenv_(&c__1, "DORGLQ", " ", m, n, k, &c_n1); |
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} |
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lwkopt = max(1,mn) * 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_("DORGBR", &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 (*m == 0 || *n == 0) { |
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work[1] = 1.; |
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return 0; |
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} |
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if (wantq) { |
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/* Form Q, determined by a call to DGEBRD to reduce an m-by-k */ |
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/* matrix */ |
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if (*m >= *k) { |
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/* If m >= k, assume m >= n >= k */ |
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dorgqr_(m, n, k, &a[a_offset], lda, &tau[1], &work[1], lwork, & |
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iinfo); |
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} else { |
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/* If m < k, assume m = n */ |
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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 */ |
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/* to those of the unit matrix */ |
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for (j = *m; j >= 2; --j) { |
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a[j * a_dim1 + 1] = 0.; |
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i__1 = *m; |
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for (i__ = j + 1; i__ <= i__1; ++i__) { |
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a[i__ + j * a_dim1] = a[i__ + (j - 1) * a_dim1]; |
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/* L10: */ |
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} |
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/* L20: */ |
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} |
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a[a_dim1 + 1] = 1.; |
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i__1 = *m; |
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for (i__ = 2; i__ <= i__1; ++i__) { |
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a[i__ + a_dim1] = 0.; |
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/* L30: */ |
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} |
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if (*m > 1) { |
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/* Form Q(2:m,2:m) */ |
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i__1 = *m - 1; |
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i__2 = *m - 1; |
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i__3 = *m - 1; |
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dorgqr_(&i__1, &i__2, &i__3, &a[(a_dim1 << 1) + 2], lda, &tau[ |
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1], &work[1], lwork, &iinfo); |
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} |
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} |
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} else { |
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/* Form P', determined by a call to DGEBRD to reduce a k-by-n */ |
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/* matrix */ |
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if (*k < *n) { |
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/* If k < n, assume k <= m <= n */ |
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dorglq_(m, n, k, &a[a_offset], lda, &tau[1], &work[1], lwork, & |
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iinfo); |
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} else { |
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/* If k >= n, assume m = n */ |
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/* Shift the vectors which define the elementary reflectors one */ |
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/* row downward, and set the first row and column of P' to */ |
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/* those of the unit matrix */ |
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a[a_dim1 + 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[i__ + a_dim1] = 0.; |
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/* L40: */ |
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} |
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i__1 = *n; |
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for (j = 2; j <= i__1; ++j) { |
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for (i__ = j - 1; i__ >= 2; --i__) { |
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a[i__ + j * a_dim1] = a[i__ - 1 + j * a_dim1]; |
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/* L50: */ |
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} |
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a[j * a_dim1 + 1] = 0.; |
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/* L60: */ |
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} |
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if (*n > 1) { |
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/* Form P'(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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dorglq_(&i__1, &i__2, &i__3, &a[(a_dim1 << 1) + 2], lda, &tau[ |
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1], &work[1], lwork, &iinfo); |
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} |
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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 DORGBR */ |
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} /* dorgbr_ */
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