/* zunmrz.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; static integer c_n1 = -1; static integer c__2 = 2; static integer c__65 = 65; /* Subroutine */ int zunmrz_(char *side, char *trans, integer *m, integer *n, integer *k, integer *l, doublecomplex *a, integer *lda, doublecomplex *tau, doublecomplex *c__, integer *ldc, doublecomplex *work, integer * lwork, integer *info) { /* System generated locals */ address a__1[2]; integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2], i__4, i__5; char ch__1[2]; /* Builtin functions */ /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); /* Local variables */ integer i__; doublecomplex t[4160] /* was [65][64] */; integer i1, i2, i3, ib, ic, ja, jc, nb, mi, ni, nq, nw, iws; logical left; extern logical lsame_(char *, char *); integer nbmin, iinfo; extern /* Subroutine */ int zunmr3_(char *, char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *), xerbla_(char *, integer *); extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *); logical notran; integer ldwork; extern /* Subroutine */ int zlarzb_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *); char transt[1]; integer lwkopt; logical lquery; extern /* Subroutine */ int zlarzt_(char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *); /* -- LAPACK routine (version 3.2) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* January 2007 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* ZUNMRZ overwrites the general complex M-by-N matrix C with */ /* SIDE = 'L' SIDE = 'R' */ /* TRANS = 'N': Q * C C * Q */ /* TRANS = 'C': Q**H * C C * Q**H */ /* where Q is a complex unitary matrix defined as the product of k */ /* elementary reflectors */ /* Q = H(1) H(2) . . . H(k) */ /* as returned by ZTZRZF. Q is of order M if SIDE = 'L' and of order N */ /* if SIDE = 'R'. */ /* Arguments */ /* ========= */ /* SIDE (input) CHARACTER*1 */ /* = 'L': apply Q or Q**H from the Left; */ /* = 'R': apply Q or Q**H from the Right. */ /* TRANS (input) CHARACTER*1 */ /* = 'N': No transpose, apply Q; */ /* = 'C': Conjugate transpose, apply Q**H. */ /* M (input) INTEGER */ /* The number of rows of the matrix C. M >= 0. */ /* N (input) INTEGER */ /* The number of columns of the matrix C. N >= 0. */ /* K (input) INTEGER */ /* The number of elementary reflectors whose product defines */ /* the matrix Q. */ /* If SIDE = 'L', M >= K >= 0; */ /* if SIDE = 'R', N >= K >= 0. */ /* L (input) INTEGER */ /* The number of columns of the matrix A containing */ /* the meaningful part of the Householder reflectors. */ /* If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. */ /* A (input) COMPLEX*16 array, dimension */ /* (LDA,M) if SIDE = 'L', */ /* (LDA,N) if SIDE = 'R' */ /* The i-th row must contain the vector which defines the */ /* elementary reflector H(i), for i = 1,2,...,k, as returned by */ /* ZTZRZF in the last k rows of its array argument A. */ /* A is modified by the routine but restored on exit. */ /* LDA (input) INTEGER */ /* The leading dimension of the array A. LDA >= max(1,K). */ /* TAU (input) COMPLEX*16 array, dimension (K) */ /* TAU(i) must contain the scalar factor of the elementary */ /* reflector H(i), as returned by ZTZRZF. */ /* C (input/output) COMPLEX*16 array, dimension (LDC,N) */ /* On entry, the M-by-N matrix C. */ /* On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. */ /* LDC (input) INTEGER */ /* The leading dimension of the array C. LDC >= max(1,M). */ /* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */ /* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */ /* LWORK (input) INTEGER */ /* The dimension of the array WORK. */ /* If SIDE = 'L', LWORK >= max(1,N); */ /* if SIDE = 'R', LWORK >= max(1,M). */ /* For optimum performance LWORK >= N*NB if SIDE = 'L', and */ /* LWORK >= M*NB if SIDE = 'R', where NB is the optimal */ /* blocksize. */ /* If LWORK = -1, then a workspace query is assumed; the routine */ /* only calculates the optimal size of the WORK array, returns */ /* this value as the first entry of the WORK array, and no error */ /* message related to LWORK is issued by XERBLA. */ /* INFO (output) INTEGER */ /* = 0: successful exit */ /* < 0: if INFO = -i, the i-th argument had an illegal value */ /* Further Details */ /* =============== */ /* Based on contributions by */ /* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Test the input arguments */ /* Parameter adjustments */ a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --tau; c_dim1 = *ldc; c_offset = 1 + c_dim1; c__ -= c_offset; --work; /* Function Body */ *info = 0; left = lsame_(side, "L"); notran = lsame_(trans, "N"); lquery = *lwork == -1; /* NQ is the order of Q and NW is the minimum dimension of WORK */ if (left) { nq = *m; nw = max(1,*n); } else { nq = *n; nw = max(1,*m); } if (! left && ! lsame_(side, "R")) { *info = -1; } else if (! notran && ! lsame_(trans, "C")) { *info = -2; } else if (*m < 0) { *info = -3; } else if (*n < 0) { *info = -4; } else if (*k < 0 || *k > nq) { *info = -5; } else if (*l < 0 || left && *l > *m || ! left && *l > *n) { *info = -6; } else if (*lda < max(1,*k)) { *info = -8; } else if (*ldc < max(1,*m)) { *info = -11; } if (*info == 0) { if (*m == 0 || *n == 0) { lwkopt = 1; } else { /* Determine the block size. NB may be at most NBMAX, where */ /* NBMAX is used to define the local array T. */ /* Computing MIN */ /* Writing concatenation */ i__3[0] = 1, a__1[0] = side; i__3[1] = 1, a__1[1] = trans; s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); i__1 = 64, i__2 = ilaenv_(&c__1, "ZUNMRQ", ch__1, m, n, k, &c_n1); nb = min(i__1,i__2); lwkopt = nw * nb; } work[1].r = (doublereal) lwkopt, work[1].i = 0.; if (*lwork < max(1,nw) && ! lquery) { *info = -13; } } if (*info != 0) { i__1 = -(*info); xerbla_("ZUNMRZ", &i__1); return 0; } else if (lquery) { return 0; } /* Quick return if possible */ if (*m == 0 || *n == 0) { return 0; } /* Determine the block size. NB may be at most NBMAX, where NBMAX */ /* is used to define the local array T. */ /* Computing MIN */ /* Writing concatenation */ i__3[0] = 1, a__1[0] = side; i__3[1] = 1, a__1[1] = trans; s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); i__1 = 64, i__2 = ilaenv_(&c__1, "ZUNMRQ", ch__1, m, n, k, &c_n1); nb = min(i__1,i__2); nbmin = 2; ldwork = nw; if (nb > 1 && nb < *k) { iws = nw * nb; if (*lwork < iws) { nb = *lwork / ldwork; /* Computing MAX */ /* Writing concatenation */ i__3[0] = 1, a__1[0] = side; i__3[1] = 1, a__1[1] = trans; s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2); i__1 = 2, i__2 = ilaenv_(&c__2, "ZUNMRQ", ch__1, m, n, k, &c_n1); nbmin = max(i__1,i__2); } } else { iws = nw; } if (nb < nbmin || nb >= *k) { /* Use unblocked code */ zunmr3_(side, trans, m, n, k, l, &a[a_offset], lda, &tau[1], &c__[ c_offset], ldc, &work[1], &iinfo); } else { /* Use blocked code */ if (left && ! notran || ! left && notran) { i1 = 1; i2 = *k; i3 = nb; } else { i1 = (*k - 1) / nb * nb + 1; i2 = 1; i3 = -nb; } if (left) { ni = *n; jc = 1; ja = *m - *l + 1; } else { mi = *m; ic = 1; ja = *n - *l + 1; } if (notran) { *(unsigned char *)transt = 'C'; } else { *(unsigned char *)transt = 'N'; } i__1 = i2; i__2 = i3; for (i__ = i1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) { /* Computing MIN */ i__4 = nb, i__5 = *k - i__ + 1; ib = min(i__4,i__5); /* Form the triangular factor of the block reflector */ /* H = H(i+ib-1) . . . H(i+1) H(i) */ zlarzt_("Backward", "Rowwise", l, &ib, &a[i__ + ja * a_dim1], lda, &tau[i__], t, &c__65); if (left) { /* H or H' is applied to C(i:m,1:n) */ mi = *m - i__ + 1; ic = i__; } else { /* H or H' is applied to C(1:m,i:n) */ ni = *n - i__ + 1; jc = i__; } /* Apply H or H' */ zlarzb_(side, transt, "Backward", "Rowwise", &mi, &ni, &ib, l, &a[ i__ + ja * a_dim1], lda, t, &c__65, &c__[ic + jc * c_dim1] , ldc, &work[1], &ldwork); /* L10: */ } } work[1].r = (doublereal) lwkopt, work[1].i = 0.; return 0; /* End of ZUNMRZ */ } /* zunmrz_ */