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/* blas/source_hbmv.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;
const int conj = (order == CblasColMajor) ? -1 : 1;
CHECK_ARGS12(CZ_HBMV,order,Uplo,N,K,alpha,A,lda,X,incX,beta,Y,incY);
{
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);
if (N == 0)
return;
if ((alpha_real == 0.0 && alpha_imag == 0.0)
&& (beta_real == 1.0 && beta_imag == 0.0))
return;
/* form y := beta*y */
if (beta_real == 0.0 && beta_imag == 0.0) {
INDEX iy = OFFSET(N, incY);
for (i = 0; i < N; 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(N, incY);
for (i = 0; i < N; 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;
/* form y := alpha*A*x + y */
if ((order == CblasRowMajor && Uplo == CblasUpper)
|| (order == CblasColMajor && Uplo == CblasLower)) {
INDEX ix = OFFSET(N, incX);
INDEX iy = OFFSET(N, incY);
for (i = 0; i < N; i++) {
BASE x_real = CONST_REAL(X, ix);
BASE x_imag = CONST_IMAG(X, ix);
BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
const INDEX j_min = i + 1;
const INDEX j_max = GSL_MIN(N, i + K + 1);
INDEX jx = OFFSET(N, incX) + j_min * incX;
INDEX jy = OFFSET(N, incY) + j_min * incY;
BASE Aii_real = CONST_REAL(A, lda * i + 0);
/* Aii_imag is zero */
REAL(Y, iy) += temp1_real * Aii_real;
IMAG(Y, iy) += temp1_imag * Aii_real;
for (j = j_min; j < j_max; j++) {
BASE Aij_real = CONST_REAL(A, lda * i + (j - i));
BASE Aij_imag = conj * CONST_IMAG(A, lda * i + (j - i));
REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
x_real = CONST_REAL(X, jx);
x_imag = CONST_IMAG(X, jx);
temp2_real += x_real * Aij_real - x_imag * Aij_imag;
temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
jx += incX;
jy += incY;
}
REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
ix += incX;
iy += incY;
}
} else if ((order == CblasRowMajor && Uplo == CblasLower)
|| (order == CblasColMajor && Uplo == CblasUpper)) {
INDEX ix = OFFSET(N, incX);
INDEX iy = OFFSET(N, incY);
for (i = 0; i < N; i++) {
BASE x_real = CONST_REAL(X, ix);
BASE x_imag = CONST_IMAG(X, ix);
BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
const INDEX j_min = (K > i ? 0 : i - K);
const INDEX j_max = i;
INDEX jx = OFFSET(N, incX) + j_min * incX;
INDEX jy = OFFSET(N, incY) + j_min * incY;
for (j = j_min; j < j_max; j++) {
BASE Aij_real = CONST_REAL(A, i * lda + (K - i + j));
BASE Aij_imag = conj * CONST_IMAG(A, i * lda + (K - i + j));
REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
x_real = CONST_REAL(X, jx);
x_imag = CONST_IMAG(X, jx);
temp2_real += x_real * Aij_real - x_imag * Aij_imag;
temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
jx += incX;
jy += incY;
}
{
BASE Aii_real = CONST_REAL(A, lda * i + K);
/* Aii_imag is zero */
REAL(Y, iy) += temp1_real * Aii_real;
IMAG(Y, iy) += temp1_imag * Aii_real;
}
REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
ix += incX;
iy += incY;
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
}
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