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/* blas/source_tpmv_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 2 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 = (TransA == CblasConjTrans) ? -1 : 1;
const int Trans = (TransA != CblasConjTrans) ? TransA : CblasTrans;
const int nonunit = (Diag == CblasNonUnit);
if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasUpper)
|| (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasLower)) {
/* form x:= A*x */
INDEX ix = OFFSET(N, incX);
for (i = 0; i < N; i++) {
const BASE Aii_real = CONST_REAL(Ap, TPUP(N, i, i));
const BASE Aii_imag = conj * CONST_IMAG(Ap, TPUP(N, i, i));
BASE temp_r;
BASE temp_i;
if (nonunit) {
BASE x_real = REAL(X, ix);
BASE x_imag = IMAG(X, ix);
temp_r = Aii_real * x_real - Aii_imag * x_imag;
temp_i = Aii_real * x_imag + Aii_imag * x_real;
} else {
temp_r = REAL(X, ix);
temp_i = IMAG(X, ix);
}
{
INDEX jx = OFFSET(N, incX) + (i + 1) * incX;
for (j = i + 1; j < N; j++) {
const BASE Aij_real = CONST_REAL(Ap, TPUP(N, i, j));
const BASE Aij_imag = conj * CONST_IMAG(Ap, TPUP(N, i, j));
BASE x_real = REAL(X, jx);
BASE x_imag = IMAG(X, jx);
temp_r += Aij_real * x_real - Aij_imag * x_imag;
temp_i += Aij_real * x_imag + Aij_imag * x_real;
jx += incX;
}
}
REAL(X, ix) = temp_r;
IMAG(X, ix) = temp_i;
ix += incX;
}
} else if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasLower)
|| (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasUpper)) {
INDEX ix = OFFSET(N, incX) + incX * (N - 1);
for (i = N; i > 0 && i--;) {
const BASE Aii_real = CONST_REAL(Ap, TPLO(N, i, i));
const BASE Aii_imag = conj * CONST_IMAG(Ap, TPLO(N, i, i));
BASE temp_r;
BASE temp_i;
if (nonunit) {
BASE x_real = REAL(X, ix);
BASE x_imag = IMAG(X, ix);
temp_r = Aii_real * x_real - Aii_imag * x_imag;
temp_i = Aii_real * x_imag + Aii_imag * x_real;
} else {
temp_r = REAL(X, ix);
temp_i = IMAG(X, ix);
}
{
INDEX jx = OFFSET(N, incX);
for (j = 0; j < i; j++) {
const BASE Aij_real = CONST_REAL(Ap, TPLO(N, i, j));
const BASE Aij_imag = conj * CONST_IMAG(Ap, TPLO(N, i, j));
BASE x_real = REAL(X, jx);
BASE x_imag = IMAG(X, jx);
temp_r += Aij_real * x_real - Aij_imag * x_imag;
temp_i += Aij_real * x_imag + Aij_imag * x_real;
jx += incX;
}
}
REAL(X, ix) = temp_r;
IMAG(X, ix) = temp_i;
ix -= incX;
}
} else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasUpper)
|| (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasLower)) {
/* form x := A'*x */
INDEX ix = OFFSET(N, incX) + incX * (N - 1);
for (i = N; i > 0 && i--;) {
const BASE Aii_real = CONST_REAL(Ap, TPUP(N, i, i));
const BASE Aii_imag = conj * CONST_IMAG(Ap, TPUP(N, i, i));
BASE temp_r;
BASE temp_i;
if (nonunit) {
BASE x_real = REAL(X, ix);
BASE x_imag = IMAG(X, ix);
temp_r = Aii_real * x_real - Aii_imag * x_imag;
temp_i = Aii_real * x_imag + Aii_imag * x_real;
} else {
temp_r = REAL(X, ix);
temp_i = IMAG(X, ix);
}
{
INDEX jx = OFFSET(N, incX);
for (j = 0; j < i; j++) {
BASE x_real = REAL(X, jx);
BASE x_imag = IMAG(X, jx);
const BASE Aji_real = CONST_REAL(Ap, TPUP(N, j, i));
const BASE Aji_imag = conj * CONST_IMAG(Ap, TPUP(N, j, i));
temp_r += Aji_real * x_real - Aji_imag * x_imag;
temp_i += Aji_real * x_imag + Aji_imag * x_real;
jx += incX;
}
}
REAL(X, ix) = temp_r;
IMAG(X, ix) = temp_i;
ix -= incX;
}
} else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasLower)
|| (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasUpper)) {
INDEX ix = OFFSET(N, incX);
for (i = 0; i < N; i++) {
const BASE Aii_real = CONST_REAL(Ap, TPLO(N, i, i));
const BASE Aii_imag = conj * CONST_IMAG(Ap, TPLO(N, i, i));
BASE temp_r;
BASE temp_i;
if (nonunit) {
BASE x_real = REAL(X, ix);
BASE x_imag = IMAG(X, ix);
temp_r = Aii_real * x_real - Aii_imag * x_imag;
temp_i = Aii_real * x_imag + Aii_imag * x_real;
} else {
temp_r = REAL(X, ix);
temp_i = IMAG(X, ix);
}
{
INDEX jx = OFFSET(N, incX) + (i + 1) * incX;
for (j = i + 1; j < N; j++) {
BASE x_real = REAL(X, jx);
BASE x_imag = IMAG(X, jx);
const BASE Aji_real = CONST_REAL(Ap, TPLO(N, j, i));
const BASE Aji_imag = conj * CONST_IMAG(Ap, TPLO(N, j, i));
temp_r += Aji_real * x_real - Aji_imag * x_imag;
temp_i += Aji_real * x_imag + Aji_imag * x_real;
jx += incX;
}
}
REAL(X, ix) = temp_r;
IMAG(X, ix) = temp_i;
ix += incX;
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
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