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/* blas/source_gbmv_c.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* 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, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
{
INDEX i, j;
INDEX lenX, lenY, L, U;
const BASE alpha_real = CONST_REAL0(alpha);
const BASE alpha_imag = CONST_IMAG0(alpha);
const BASE beta_real = CONST_REAL0(beta);
const BASE beta_imag = CONST_IMAG0(beta);
CHECK_ARGS14(GBMV,order,TransA,M,N,KL,KU,alpha,A,lda,X,incX,beta,Y,incY);
if (M == 0 || N == 0)
return;
if ((alpha_real == 0.0 && alpha_imag == 0.0)
&& (beta_real == 1.0 && beta_imag == 0.0))
return;
if (TransA == CblasNoTrans) {
lenX = N;
lenY = M;
L = KL;
U = KU;
} else {
lenX = M;
lenY = N;
L = KU;
U = KL;
}
/* form y := beta*y */
if (beta_real == 0.0 && beta_imag == 0.0) {
INDEX iy = OFFSET(lenY, incY);
for (i = 0; i < lenY; i++) {
REAL(Y, iy) = 0.0;
IMAG(Y, iy) = 0.0;
iy += incY;
}
} else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
INDEX iy = OFFSET(lenY, incY);
for (i = 0; i < lenY; i++) {
const BASE y_real = REAL(Y, iy);
const BASE y_imag = IMAG(Y, iy);
const BASE tmpR = y_real * beta_real - y_imag * beta_imag;
const BASE tmpI = y_real * beta_imag + y_imag * beta_real;
REAL(Y, iy) = tmpR;
IMAG(Y, iy) = tmpI;
iy += incY;
}
}
if (alpha_real == 0.0 && alpha_imag == 0.0)
return;
if ((order == CblasRowMajor && TransA == CblasNoTrans)
|| (order == CblasColMajor && TransA == CblasTrans)) {
/* form y := alpha*A*x + y */
INDEX iy = OFFSET(lenY, incY);
for (i = 0; i < lenY; i++) {
BASE dotR = 0.0;
BASE dotI = 0.0;
const INDEX j_min = (i > L ? i - L : 0);
const INDEX j_max = GSL_MIN(lenX, i + U + 1);
INDEX ix = OFFSET(lenX, incX) + j_min * incX;
for (j = j_min; j < j_max; j++) {
const BASE x_real = CONST_REAL(X, ix);
const BASE x_imag = CONST_IMAG(X, ix);
const BASE A_real = CONST_REAL(A, lda * i + (L + j - i));
const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i));
dotR += A_real * x_real - A_imag * x_imag;
dotI += A_real * x_imag + A_imag * x_real;
ix += incX;
}
REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI;
IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR;
iy += incY;
}
} else if ((order == CblasRowMajor && TransA == CblasTrans)
|| (order == CblasColMajor && TransA == CblasNoTrans)) {
/* form y := alpha*A'*x + y */
INDEX ix = OFFSET(lenX, incX);
for (j = 0; j < lenX; j++) {
const BASE x_real = CONST_REAL(X, ix);
const BASE x_imag = CONST_IMAG(X, ix);
BASE tmpR = alpha_real * x_real - alpha_imag * x_imag;
BASE tmpI = alpha_real * x_imag + alpha_imag * x_real;
if (!(tmpR == 0.0 && tmpI == 0.0)) {
const INDEX i_min = (j > U ? j - U : 0);
const INDEX i_max = GSL_MIN(lenY, j + L + 1);
INDEX iy = OFFSET(lenY, incY) + i_min * incY;
for (i = i_min; i < i_max; i++) {
const BASE A_real = CONST_REAL(A, lda * j + (U + i - j));
const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j));
REAL(Y, iy) += A_real * tmpR - A_imag * tmpI;
IMAG(Y, iy) += A_real * tmpI + A_imag * tmpR;
iy += incY;
}
}
ix += incX;
}
} else if (order == CblasRowMajor && TransA == CblasConjTrans) {
/* form y := alpha*A^H*x + y */
INDEX ix = OFFSET(lenX, incX);
for (j = 0; j < lenX; j++) {
const BASE x_real = CONST_REAL(X, ix);
const BASE x_imag = CONST_IMAG(X, ix);
BASE tmpR = alpha_real * x_real - alpha_imag * x_imag;
BASE tmpI = alpha_real * x_imag + alpha_imag * x_real;
if (!(tmpR == 0.0 && tmpI == 0.0)) {
const INDEX i_min = (j > U ? j - U : 0);
const INDEX i_max = GSL_MIN(lenY, j + L + 1);
INDEX iy = OFFSET(lenY, incY) + i_min * incY;
for (i = i_min; i < i_max; i++) {
const BASE A_real = CONST_REAL(A, lda * j + (U + i - j));
const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j));
REAL(Y, iy) += A_real * tmpR - (-A_imag) * tmpI;
IMAG(Y, iy) += A_real * tmpI + (-A_imag) * tmpR;
iy += incY;
}
}
ix += incX;
}
} else if (order == CblasColMajor && TransA == CblasConjTrans) {
/* form y := alpha*A^H*x + y */
INDEX iy = OFFSET(lenY, incY);
for (i = 0; i < lenY; i++) {
BASE dotR = 0.0;
BASE dotI = 0.0;
const INDEX j_min = (i > L ? i - L : 0);
const INDEX j_max = GSL_MIN(lenX, i + U + 1);
INDEX ix = OFFSET(lenX, incX) + j_min * incX;
for (j = j_min; j < j_max; j++) {
const BASE x_real = CONST_REAL(X, ix);
const BASE x_imag = CONST_IMAG(X, ix);
const BASE A_real = CONST_REAL(A, lda * i + (L + j - i));
const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i));
dotR += A_real * x_real - (-A_imag) * x_imag;
dotI += A_real * x_imag + (-A_imag) * x_real;
ix += incX;
}
REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI;
IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR;
iy += incY;
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
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