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358 lines
10 KiB
358 lines
10 KiB
/* sormbr.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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static integer c__2 = 2; |
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/* Subroutine */ int sormbr_(char *vect, char *side, char *trans, integer *m, |
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integer *n, integer *k, real *a, integer *lda, real *tau, real *c__, |
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integer *ldc, real *work, integer *lwork, integer *info) |
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{ |
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/* System generated locals */ |
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address a__1[2]; |
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integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2]; |
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char ch__1[2]; |
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/* Builtin functions */ |
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/* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); |
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/* Local variables */ |
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integer i1, i2, nb, mi, ni, nq, nw; |
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logical left; |
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extern logical lsame_(char *, char *); |
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integer iinfo; |
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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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logical notran, applyq; |
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char transt[1]; |
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extern /* Subroutine */ int sormlq_(char *, char *, integer *, integer *, |
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integer *, real *, integer *, real *, real *, integer *, real *, |
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integer *, integer *); |
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integer lwkopt; |
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logical lquery; |
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extern /* Subroutine */ int sormqr_(char *, char *, integer *, integer *, |
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integer *, real *, integer *, real *, real *, integer *, real *, |
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integer *, integer *); |
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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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/* If VECT = 'Q', SORMBR overwrites the general real M-by-N matrix C */ |
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/* with */ |
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/* SIDE = 'L' SIDE = 'R' */ |
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/* TRANS = 'N': Q * C C * Q */ |
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/* TRANS = 'T': Q**T * C C * Q**T */ |
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/* If VECT = 'P', SORMBR overwrites the general real M-by-N matrix C */ |
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/* with */ |
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/* SIDE = 'L' SIDE = 'R' */ |
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/* TRANS = 'N': P * C C * P */ |
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/* TRANS = 'T': P**T * C C * P**T */ |
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/* Here Q and P**T are the orthogonal matrices determined by SGEBRD when */ |
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/* reducing a real matrix A to bidiagonal form: A = Q * B * P**T. Q and */ |
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/* P**T are defined as products of elementary reflectors H(i) and G(i) */ |
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/* respectively. */ |
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/* Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Thus nq is the */ |
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/* order of the orthogonal matrix Q or P**T that is applied. */ |
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/* If VECT = 'Q', A is assumed to have been an NQ-by-K matrix: */ |
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/* if nq >= k, Q = H(1) H(2) . . . H(k); */ |
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/* if nq < k, Q = H(1) H(2) . . . H(nq-1). */ |
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/* If VECT = 'P', A is assumed to have been a K-by-NQ matrix: */ |
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/* if k < nq, P = G(1) G(2) . . . G(k); */ |
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/* if k >= nq, P = G(1) G(2) . . . G(nq-1). */ |
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/* Arguments */ |
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/* ========= */ |
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/* VECT (input) CHARACTER*1 */ |
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/* = 'Q': apply Q or Q**T; */ |
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/* = 'P': apply P or P**T. */ |
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/* SIDE (input) CHARACTER*1 */ |
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/* = 'L': apply Q, Q**T, P or P**T from the Left; */ |
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/* = 'R': apply Q, Q**T, P or P**T from the Right. */ |
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/* TRANS (input) CHARACTER*1 */ |
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/* = 'N': No transpose, apply Q or P; */ |
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/* = 'T': Transpose, apply Q**T or P**T. */ |
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/* M (input) INTEGER */ |
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/* The number of rows of the matrix C. M >= 0. */ |
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/* N (input) INTEGER */ |
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/* The number of columns of the matrix C. N >= 0. */ |
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/* K (input) INTEGER */ |
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/* If VECT = 'Q', the number of columns in the original */ |
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/* matrix reduced by SGEBRD. */ |
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/* If VECT = 'P', the number of rows in the original */ |
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/* matrix reduced by SGEBRD. */ |
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/* K >= 0. */ |
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/* A (input) REAL array, dimension */ |
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/* (LDA,min(nq,K)) if VECT = 'Q' */ |
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/* (LDA,nq) if VECT = 'P' */ |
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/* The vectors which define the elementary reflectors H(i) and */ |
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/* G(i), whose products determine the matrices Q and P, as */ |
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/* returned by SGEBRD. */ |
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/* LDA (input) INTEGER */ |
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/* The leading dimension of the array A. */ |
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/* If VECT = 'Q', LDA >= max(1,nq); */ |
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/* if VECT = 'P', LDA >= max(1,min(nq,K)). */ |
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/* TAU (input) REAL array, dimension (min(nq,K)) */ |
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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, as returned */ |
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/* by SGEBRD in the array argument TAUQ or TAUP. */ |
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/* C (input/output) REAL array, dimension (LDC,N) */ |
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/* On entry, the M-by-N matrix C. */ |
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/* On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q */ |
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/* or P*C or P**T*C or C*P or C*P**T. */ |
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/* LDC (input) INTEGER */ |
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/* The leading dimension of the array C. LDC >= max(1,M). */ |
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/* WORK (workspace/output) REAL 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. */ |
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/* If SIDE = 'L', LWORK >= max(1,N); */ |
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/* if SIDE = 'R', LWORK >= max(1,M). */ |
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/* For optimum performance LWORK >= N*NB if SIDE = 'L', and */ |
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/* LWORK >= M*NB if SIDE = 'R', where NB is the optimal */ |
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/* 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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/* .. 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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c_dim1 = *ldc; |
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c_offset = 1 + c_dim1; |
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c__ -= c_offset; |
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--work; |
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/* Function Body */ |
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*info = 0; |
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applyq = lsame_(vect, "Q"); |
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left = lsame_(side, "L"); |
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notran = lsame_(trans, "N"); |
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lquery = *lwork == -1; |
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/* NQ is the order of Q or P and NW is the minimum dimension of WORK */ |
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if (left) { |
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nq = *m; |
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nw = *n; |
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} else { |
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nq = *n; |
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nw = *m; |
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} |
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if (! applyq && ! lsame_(vect, "P")) { |
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*info = -1; |
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} else if (! left && ! lsame_(side, "R")) { |
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*info = -2; |
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} else if (! notran && ! lsame_(trans, "T")) { |
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*info = -3; |
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} else if (*m < 0) { |
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*info = -4; |
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} else if (*n < 0) { |
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*info = -5; |
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} else if (*k < 0) { |
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*info = -6; |
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} else /* if(complicated condition) */ { |
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/* Computing MAX */ |
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i__1 = 1, i__2 = min(nq,*k); |
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if (applyq && *lda < max(1,nq) || ! applyq && *lda < max(i__1,i__2)) { |
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*info = -8; |
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} else if (*ldc < max(1,*m)) { |
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*info = -11; |
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} else if (*lwork < max(1,nw) && ! lquery) { |
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*info = -13; |
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} |
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} |
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if (*info == 0) { |
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if (applyq) { |
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if (left) { |
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/* Writing concatenation */ |
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i__3[0] = 1, a__1[0] = side; |
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i__3[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); |
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i__1 = *m - 1; |
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i__2 = *m - 1; |
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nb = ilaenv_(&c__1, "SORMQR", ch__1, &i__1, n, &i__2, &c_n1); |
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} else { |
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/* Writing concatenation */ |
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i__3[0] = 1, a__1[0] = side; |
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i__3[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); |
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i__1 = *n - 1; |
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i__2 = *n - 1; |
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nb = ilaenv_(&c__1, "SORMQR", ch__1, m, &i__1, &i__2, &c_n1); |
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} |
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} else { |
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if (left) { |
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/* Writing concatenation */ |
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i__3[0] = 1, a__1[0] = side; |
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i__3[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); |
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i__1 = *m - 1; |
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i__2 = *m - 1; |
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nb = ilaenv_(&c__1, "SORMLQ", ch__1, &i__1, n, &i__2, &c_n1); |
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} else { |
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/* Writing concatenation */ |
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i__3[0] = 1, a__1[0] = side; |
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i__3[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); |
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i__1 = *n - 1; |
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i__2 = *n - 1; |
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nb = ilaenv_(&c__1, "SORMLQ", ch__1, m, &i__1, &i__2, &c_n1); |
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} |
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} |
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lwkopt = max(1,nw) * nb; |
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work[1] = (real) lwkopt; |
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} |
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if (*info != 0) { |
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i__1 = -(*info); |
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xerbla_("SORMBR", &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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work[1] = 1.f; |
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if (*m == 0 || *n == 0) { |
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return 0; |
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} |
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if (applyq) { |
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/* Apply Q */ |
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if (nq >= *k) { |
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/* Q was determined by a call to SGEBRD with nq >= k */ |
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sormqr_(side, trans, m, n, k, &a[a_offset], lda, &tau[1], &c__[ |
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c_offset], ldc, &work[1], lwork, &iinfo); |
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} else if (nq > 1) { |
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/* Q was determined by a call to SGEBRD with nq < k */ |
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if (left) { |
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mi = *m - 1; |
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ni = *n; |
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i1 = 2; |
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i2 = 1; |
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} else { |
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mi = *m; |
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ni = *n - 1; |
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i1 = 1; |
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i2 = 2; |
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} |
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i__1 = nq - 1; |
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sormqr_(side, trans, &mi, &ni, &i__1, &a[a_dim1 + 2], lda, &tau[1] |
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, &c__[i1 + i2 * c_dim1], ldc, &work[1], lwork, &iinfo); |
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} |
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} else { |
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/* Apply P */ |
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if (notran) { |
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*(unsigned char *)transt = 'T'; |
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} else { |
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*(unsigned char *)transt = 'N'; |
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} |
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if (nq > *k) { |
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/* P was determined by a call to SGEBRD with nq > k */ |
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sormlq_(side, transt, m, n, k, &a[a_offset], lda, &tau[1], &c__[ |
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c_offset], ldc, &work[1], lwork, &iinfo); |
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} else if (nq > 1) { |
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/* P was determined by a call to SGEBRD with nq <= k */ |
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if (left) { |
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mi = *m - 1; |
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ni = *n; |
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i1 = 2; |
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i2 = 1; |
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} else { |
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mi = *m; |
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ni = *n - 1; |
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i1 = 1; |
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i2 = 2; |
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} |
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i__1 = nq - 1; |
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sormlq_(side, transt, &mi, &ni, &i__1, &a[(a_dim1 << 1) + 1], lda, |
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&tau[1], &c__[i1 + i2 * c_dim1], ldc, &work[1], lwork, & |
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iinfo); |
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} |
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} |
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work[1] = (real) lwkopt; |
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return 0; |
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/* End of SORMBR */ |
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} /* sormbr_ */
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