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295 lines
8.3 KiB
295 lines
8.3 KiB
/* sormtr.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 sormtr_(char *side, char *uplo, char *trans, integer *m, |
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integer *n, real *a, integer *lda, real *tau, real *c__, integer *ldc, |
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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[2], i__2, i__3; |
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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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logical upper; |
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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 sormql_(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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/* SORMTR overwrites the general real M-by-N matrix C 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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/* where Q is a real orthogonal matrix of order nq, with nq = m if */ |
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/* SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of */ |
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/* nq-1 elementary reflectors, as returned by SSYTRD: */ |
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/* if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); */ |
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/* if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). */ |
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/* Arguments */ |
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/* ========= */ |
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/* SIDE (input) CHARACTER*1 */ |
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/* = 'L': apply Q or Q**T from the Left; */ |
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/* = 'R': apply Q or Q**T from the Right. */ |
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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 SSYTRD; */ |
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/* = 'L': Lower triangle of A contains elementary reflectors */ |
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/* from SSYTRD. */ |
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/* TRANS (input) CHARACTER*1 */ |
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/* = 'N': No transpose, apply Q; */ |
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/* = 'T': Transpose, apply Q**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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/* A (input) REAL array, dimension */ |
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/* (LDA,M) if SIDE = 'L' */ |
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/* (LDA,N) if SIDE = 'R' */ |
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/* The vectors which define the elementary reflectors, as */ |
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/* returned by SSYTRD. */ |
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/* LDA (input) INTEGER */ |
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/* The leading dimension of the array A. */ |
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/* LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. */ |
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/* TAU (input) REAL array, dimension */ |
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/* (M-1) if SIDE = 'L' */ |
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/* (N-1) if SIDE = 'R' */ |
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/* TAU(i) must contain the scalar factor of the elementary */ |
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/* reflector H(i), as returned by SSYTRD. */ |
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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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/* 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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left = lsame_(side, "L"); |
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upper = lsame_(uplo, "U"); |
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lquery = *lwork == -1; |
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/* NQ is the order of Q 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 (! left && ! lsame_(side, "R")) { |
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*info = -1; |
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} else if (! upper && ! lsame_(uplo, "L")) { |
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*info = -2; |
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} else if (! lsame_(trans, "N") && ! lsame_(trans, |
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"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 (*lda < max(1,nq)) { |
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*info = -7; |
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} else if (*ldc < max(1,*m)) { |
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*info = -10; |
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} else if (*lwork < max(1,nw) && ! lquery) { |
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*info = -12; |
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} |
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if (*info == 0) { |
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if (upper) { |
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if (left) { |
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/* Writing concatenation */ |
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i__1[0] = 1, a__1[0] = side; |
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i__1[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); |
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i__2 = *m - 1; |
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i__3 = *m - 1; |
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nb = ilaenv_(&c__1, "SORMQL", ch__1, &i__2, n, &i__3, &c_n1); |
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} else { |
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/* Writing concatenation */ |
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i__1[0] = 1, a__1[0] = side; |
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i__1[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); |
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i__2 = *n - 1; |
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i__3 = *n - 1; |
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nb = ilaenv_(&c__1, "SORMQL", ch__1, m, &i__2, &i__3, &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__1[0] = 1, a__1[0] = side; |
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i__1[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); |
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i__2 = *m - 1; |
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i__3 = *m - 1; |
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nb = ilaenv_(&c__1, "SORMQR", ch__1, &i__2, n, &i__3, &c_n1); |
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} else { |
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/* Writing concatenation */ |
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i__1[0] = 1, a__1[0] = side; |
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i__1[1] = 1, a__1[1] = trans; |
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s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); |
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i__2 = *n - 1; |
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i__3 = *n - 1; |
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nb = ilaenv_(&c__1, "SORMQR", ch__1, m, &i__2, &i__3, &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__2 = -(*info); |
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xerbla_("SORMTR", &i__2); |
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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 || nq == 1) { |
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work[1] = 1.f; |
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return 0; |
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} |
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if (left) { |
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mi = *m - 1; |
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ni = *n; |
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} else { |
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mi = *m; |
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ni = *n - 1; |
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} |
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if (upper) { |
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/* Q was determined by a call to SSYTRD with UPLO = 'U' */ |
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i__2 = nq - 1; |
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sormql_(side, trans, &mi, &ni, &i__2, &a[(a_dim1 << 1) + 1], lda, & |
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tau[1], &c__[c_offset], ldc, &work[1], lwork, &iinfo); |
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} else { |
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/* Q was determined by a call to SSYTRD with UPLO = 'L' */ |
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if (left) { |
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i1 = 2; |
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i2 = 1; |
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} else { |
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i1 = 1; |
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i2 = 2; |
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} |
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i__2 = nq - 1; |
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sormqr_(side, trans, &mi, &ni, &i__2, &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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work[1] = (real) lwkopt; |
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return 0; |
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/* End of SORMTR */ |
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} /* sormtr_ */
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