/* fortran/zlarf.f -- translated by f2c (version 20200916). 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 */ #ifdef __cplusplus extern "C" { #endif #include "lmp_f2c.h" /* Table of constant values */ static doublecomplex c_b1 = {1.,0.}; static doublecomplex c_b2 = {0.,0.}; static integer c__1 = 1; /* > \brief \b ZLARF applies an elementary reflector to a general rectangular matrix. */ /* =========== DOCUMENTATION =========== */ /* Online html documentation available at */ /* http://www.netlib.org/lapack/explore-html/ */ /* > \htmlonly */ /* > Download ZLARF + dependencies */ /* > */ /* > [TGZ] */ /* > */ /* > [ZIP] */ /* > */ /* > [TXT] */ /* > \endhtmlonly */ /* Definition: */ /* =========== */ /* SUBROUTINE ZLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK ) */ /* .. Scalar Arguments .. */ /* CHARACTER SIDE */ /* INTEGER INCV, LDC, M, N */ /* COMPLEX*16 TAU */ /* .. */ /* .. Array Arguments .. */ /* COMPLEX*16 C( LDC, * ), V( * ), WORK( * ) */ /* .. */ /* > \par Purpose: */ /* ============= */ /* > */ /* > \verbatim */ /* > */ /* > ZLARF applies a complex elementary reflector H to a complex M-by-N */ /* > matrix C, from either the left or the right. H is represented in the */ /* > form */ /* > */ /* > H = I - tau * v * v**H */ /* > */ /* > where tau is a complex scalar and v is a complex vector. */ /* > */ /* > If tau = 0, then H is taken to be the unit matrix. */ /* > */ /* > To apply H**H, supply conjg(tau) instead */ /* > tau. */ /* > \endverbatim */ /* Arguments: */ /* ========== */ /* > \param[in] SIDE */ /* > \verbatim */ /* > SIDE is CHARACTER*1 */ /* > = 'L': form H * C */ /* > = 'R': form C * H */ /* > \endverbatim */ /* > */ /* > \param[in] M */ /* > \verbatim */ /* > M is INTEGER */ /* > The number of rows of the matrix C. */ /* > \endverbatim */ /* > */ /* > \param[in] N */ /* > \verbatim */ /* > N is INTEGER */ /* > The number of columns of the matrix C. */ /* > \endverbatim */ /* > */ /* > \param[in] V */ /* > \verbatim */ /* > V is COMPLEX*16 array, dimension */ /* > (1 + (M-1)*abs(INCV)) if SIDE = 'L' */ /* > or (1 + (N-1)*abs(INCV)) if SIDE = 'R' */ /* > The vector v in the representation of H. V is not used if */ /* > TAU = 0. */ /* > \endverbatim */ /* > */ /* > \param[in] INCV */ /* > \verbatim */ /* > INCV is INTEGER */ /* > The increment between elements of v. INCV <> 0. */ /* > \endverbatim */ /* > */ /* > \param[in] TAU */ /* > \verbatim */ /* > TAU is COMPLEX*16 */ /* > The value tau in the representation of H. */ /* > \endverbatim */ /* > */ /* > \param[in,out] C */ /* > \verbatim */ /* > C is COMPLEX*16 array, dimension (LDC,N) */ /* > On entry, the M-by-N matrix C. */ /* > On exit, C is overwritten by the matrix H * C if SIDE = 'L', */ /* > or C * H if SIDE = 'R'. */ /* > \endverbatim */ /* > */ /* > \param[in] LDC */ /* > \verbatim */ /* > LDC is INTEGER */ /* > The leading dimension of the array C. LDC >= max(1,M). */ /* > \endverbatim */ /* > */ /* > \param[out] WORK */ /* > \verbatim */ /* > WORK is COMPLEX*16 array, dimension */ /* > (N) if SIDE = 'L' */ /* > or (M) if SIDE = 'R' */ /* > \endverbatim */ /* Authors: */ /* ======== */ /* > \author Univ. of Tennessee */ /* > \author Univ. of California Berkeley */ /* > \author Univ. of Colorado Denver */ /* > \author NAG Ltd. */ /* > \ingroup complex16OTHERauxiliary */ /* ===================================================================== */ /* Subroutine */ int zlarf_(char *side, integer *m, integer *n, doublecomplex *v, integer *incv, doublecomplex *tau, doublecomplex *c__, integer * ldc, doublecomplex *work, ftnlen side_len) { /* System generated locals */ integer c_dim1, c_offset, i__1; doublecomplex z__1; /* Local variables */ integer i__; logical applyleft; extern logical lsame_(char *, char *, ftnlen, ftnlen); integer lastc; extern /* Subroutine */ int zgerc_(integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, ftnlen); integer lastv; extern integer ilazlc_(integer *, integer *, doublecomplex *, integer *), ilazlr_(integer *, integer *, doublecomplex *, integer *); /* -- LAPACK auxiliary routine -- */ /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */ /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ --v; c_dim1 = *ldc; c_offset = 1 + c_dim1; c__ -= c_offset; --work; /* Function Body */ applyleft = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1); lastv = 0; lastc = 0; if (tau->r != 0. || tau->i != 0.) { /* Set up variables for scanning V. LASTV begins pointing to the end */ /* of V. */ if (applyleft) { lastv = *m; } else { lastv = *n; } if (*incv > 0) { i__ = (lastv - 1) * *incv + 1; } else { i__ = 1; } /* Look for the last non-zero row in V. */ for(;;) { /* while(complicated condition) */ i__1 = i__; if (!(lastv > 0 && (v[i__1].r == 0. && v[i__1].i == 0.))) break; --lastv; i__ -= *incv; } if (applyleft) { /* Scan for the last non-zero column in C(1:lastv,:). */ lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc); } else { /* Scan for the last non-zero row in C(:,1:lastv). */ lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc); } } /* Note that lastc.eq.0 renders the BLAS operations null; no special */ /* case is needed at this level. */ if (applyleft) { /* Form H * C */ if (lastv > 0) { /* w(1:lastc,1) := C(1:lastv,1:lastc)**H * v(1:lastv,1) */ zgemv_((char *)"Conjugate transpose", &lastv, &lastc, &c_b1, &c__[ c_offset], ldc, &v[1], incv, &c_b2, &work[1], &c__1, ( ftnlen)19); /* C(1:lastv,1:lastc) := C(...) - v(1:lastv,1) * w(1:lastc,1)**H */ z__1.r = -tau->r, z__1.i = -tau->i; zgerc_(&lastv, &lastc, &z__1, &v[1], incv, &work[1], &c__1, &c__[ c_offset], ldc); } } else { /* Form C * H */ if (lastv > 0) { /* w(1:lastc,1) := C(1:lastc,1:lastv) * v(1:lastv,1) */ zgemv_((char *)"No transpose", &lastc, &lastv, &c_b1, &c__[c_offset], ldc, &v[1], incv, &c_b2, &work[1], &c__1, (ftnlen)12); /* C(1:lastc,1:lastv) := C(...) - w(1:lastc,1) * v(1:lastv,1)**H */ z__1.r = -tau->r, z__1.i = -tau->i; zgerc_(&lastc, &lastv, &z__1, &work[1], &c__1, &v[1], incv, &c__[ c_offset], ldc); } } return 0; /* End of ZLARF */ } /* zlarf_ */ #ifdef __cplusplus } #endif