lapack/dlarf.c

/* dlarf.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 doublereal c_b4 = 1.;
static doublereal c_b5 = 0.;
static integer c__1 = 1;

/* Subroutine */ int dlarf_(char *side, integer *m, integer *n, doublereal *v, 
	 integer *incv, doublereal *tau, doublereal *c__, integer *ldc, 
	doublereal *work)
{
    /* System generated locals */
    integer c_dim1, c_offset;
    doublereal d__1;

    /* Local variables */
    integer i__;
    logical applyleft;
    extern /* Subroutine */ int dger_(integer *, integer *, doublereal *, 
	    doublereal *, integer *, doublereal *, integer *, doublereal *, 
	    integer *);
    extern logical lsame_(char *, char *);
    extern /* Subroutine */ int dgemv_(char *, integer *, integer *, 
	    doublereal *, doublereal *, integer *, doublereal *, integer *, 
	    doublereal *, doublereal *, integer *);
    integer lastc, lastv;
    extern integer iladlc_(integer *, integer *, doublereal *, integer *), 
	    iladlr_(integer *, integer *, doublereal *, integer *);


/*  -- LAPACK auxiliary routine (version 3.2) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  DLARF applies a real elementary reflector H to a real m by n matrix */
/*  C, from either the left or the right. H is represented in the form */

/*        H = I - tau * v * v' */

/*  where tau is a real scalar and v is a real vector. */

/*  If tau = 0, then H is taken to be the unit matrix. */

/*  Arguments */
/*  ========= */

/*  SIDE    (input) CHARACTER*1 */
/*          = 'L': form  H * C */
/*          = 'R': form  C * H */

/*  M       (input) INTEGER */
/*          The number of rows of the matrix C. */

/*  N       (input) INTEGER */
/*          The number of columns of the matrix C. */

/*  V       (input) DOUBLE PRECISION 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. */

/*  INCV    (input) INTEGER */
/*          The increment between elements of v. INCV <> 0. */

/*  TAU     (input) DOUBLE PRECISION */
/*          The value tau in the representation of H. */

/*  C       (input/output) DOUBLE PRECISION 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'. */

/*  LDC     (input) INTEGER */
/*          The leading dimension of the array C. LDC >= max(1,M). */

/*  WORK    (workspace) DOUBLE PRECISION array, dimension */
/*                         (N) if SIDE = 'L' */
/*                      or (M) if SIDE = 'R' */

/*  ===================================================================== */

/*     .. 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, "L");
    lastv = 0;
    lastc = 0;
    if (*tau != 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. */
	while(lastv > 0 && v[i__] == 0.) {
	    --lastv;
	    i__ -= *incv;
	}
	if (applyleft) {
/*     Scan for the last non-zero column in C(1:lastv,:). */
	    lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
	} else {
/*     Scan for the last non-zero row in C(:,1:lastv). */
	    lastc = iladlr_(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)' * v(1:lastv,1) */

	    dgemv_("Transpose", &lastv, &lastc, &c_b4, &c__[c_offset], ldc, &
		    v[1], incv, &c_b5, &work[1], &c__1);

/*           C(1:lastv,1:lastc) := C(...) - v(1:lastv,1) * w(1:lastc,1)' */

	    d__1 = -(*tau);
	    dger_(&lastv, &lastc, &d__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) */

	    dgemv_("No transpose", &lastc, &lastv, &c_b4, &c__[c_offset], ldc, 
		     &v[1], incv, &c_b5, &work[1], &c__1);

/*           C(1:lastc,1:lastv) := C(...) - w(1:lastc,1) * v(1:lastv,1)' */

	    d__1 = -(*tau);
	    dger_(&lastc, &lastv, &d__1, &work[1], &c__1, &v[1], incv, &c__[
		    c_offset], ldc);
	}
    }
    return 0;

/*     End of DLARF */

} /* dlarf_ */