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/* Ergo, version 3.8, a program for linear scaling electronic structure
* calculations.
* Copyright (C) 2019 Elias Rudberg, Emanuel H. Rubensson, Pawel Salek,
* and Anastasia Kruchinina.
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*
* Primary academic reference:
* Ergo: An open-source program for linear-scaling electronic structure
* calculations,
* Elias Rudberg, Emanuel H. Rubensson, Pawel Salek, and Anastasia
* Kruchinina,
* SoftwareX 7, 107 (2018),
* <http://dx.doi.org/10.1016/j.softx.2018.03.005>
*
* For further information about Ergo, see <http://www.ergoscf.org>.
*/
/* This file belongs to the template_lapack part of the Ergo source
* code. The source files in the template_lapack directory are modified
* versions of files originally distributed as CLAPACK, see the
* Copyright/license notice in the file template_lapack/COPYING.
*/
#ifndef TEMPLATE_LAPACK_LARF_HEADER
#define TEMPLATE_LAPACK_LARF_HEADER
template<class Treal>
int template_lapack_larf(const char *side, const integer *m, const integer *n, const Treal *v,
const integer *incv, const Treal *tau, Treal *c__, const integer *ldc,
Treal *work)
{
/* -- LAPACK auxiliary routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
February 29, 1992
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'
=====================================================================
Parameter adjustments */
/* Table of constant values */
Treal c_b4 = 1.;
Treal c_b5 = 0.;
integer c__1 = 1;
/* System generated locals */
integer c_dim1, c_offset;
Treal d__1;
--v;
c_dim1 = *ldc;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--work;
/* Function Body */
if (template_blas_lsame(side, "L")) {
/* Form H * C */
if (*tau != 0.) {
/* w := C' * v */
template_blas_gemv("Transpose", m, n, &c_b4, &c__[c_offset], ldc, &v[1], incv,
&c_b5, &work[1], &c__1);
/* C := C - v * w' */
d__1 = -(*tau);
template_blas_ger(m, n, &d__1, &v[1], incv, &work[1], &c__1, &c__[c_offset],
ldc);
}
} else {
/* Form C * H */
if (*tau != 0.) {
/* w := C * v */
template_blas_gemv("No transpose", m, n, &c_b4, &c__[c_offset], ldc, &v[1],
incv, &c_b5, &work[1], &c__1);
/* C := C - w * v' */
d__1 = -(*tau);
template_blas_ger(m, n, &d__1, &work[1], &c__1, &v[1], incv, &c__[c_offset],
ldc);
}
}
return 0;
/* End of DLARF */
} /* dlarf_ */
#endif
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