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/* blas/source_hbmv.h
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*
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* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 3 of the License, or (at
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* your option) any later version.
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*
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* This program is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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{
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INDEX i, j;
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const int conj = (order == CblasColMajor) ? -1 : 1;
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CHECK_ARGS12(CZ_HBMV,order,Uplo,N,K,alpha,A,lda,X,incX,beta,Y,incY);
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{
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const BASE alpha_real = CONST_REAL0(alpha);
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const BASE alpha_imag = CONST_IMAG0(alpha);
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const BASE beta_real = CONST_REAL0(beta);
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const BASE beta_imag = CONST_IMAG0(beta);
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if (N == 0)
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return;
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if ((alpha_real == 0.0 && alpha_imag == 0.0)
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&& (beta_real == 1.0 && beta_imag == 0.0))
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return;
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/* form y := beta*y */
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if (beta_real == 0.0 && beta_imag == 0.0) {
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INDEX iy = OFFSET(N, incY);
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for (i = 0; i < N; i++) {
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REAL(Y, iy) = 0.0;
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IMAG(Y, iy) = 0.0;
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iy += incY;
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}
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} else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
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INDEX iy = OFFSET(N, incY);
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for (i = 0; i < N; i++) {
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const BASE y_real = REAL(Y, iy);
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const BASE y_imag = IMAG(Y, iy);
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const BASE tmpR = y_real * beta_real - y_imag * beta_imag;
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const BASE tmpI = y_real * beta_imag + y_imag * beta_real;
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REAL(Y, iy) = tmpR;
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IMAG(Y, iy) = tmpI;
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iy += incY;
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}
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}
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if (alpha_real == 0.0 && alpha_imag == 0.0)
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return;
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/* form y := alpha*A*x + y */
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if ((order == CblasRowMajor && Uplo == CblasUpper)
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|| (order == CblasColMajor && Uplo == CblasLower)) {
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INDEX ix = OFFSET(N, incX);
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INDEX iy = OFFSET(N, incY);
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for (i = 0; i < N; i++) {
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BASE x_real = CONST_REAL(X, ix);
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BASE x_imag = CONST_IMAG(X, ix);
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BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
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BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
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BASE temp2_real = 0.0;
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BASE temp2_imag = 0.0;
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const INDEX j_min = i + 1;
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const INDEX j_max = GSL_MIN(N, i + K + 1);
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INDEX jx = OFFSET(N, incX) + j_min * incX;
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INDEX jy = OFFSET(N, incY) + j_min * incY;
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BASE Aii_real = CONST_REAL(A, lda * i + 0);
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/* Aii_imag is zero */
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REAL(Y, iy) += temp1_real * Aii_real;
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IMAG(Y, iy) += temp1_imag * Aii_real;
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for (j = j_min; j < j_max; j++) {
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BASE Aij_real = CONST_REAL(A, lda * i + (j - i));
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BASE Aij_imag = conj * CONST_IMAG(A, lda * i + (j - i));
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REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
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IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
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x_real = CONST_REAL(X, jx);
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x_imag = CONST_IMAG(X, jx);
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temp2_real += x_real * Aij_real - x_imag * Aij_imag;
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temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
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jx += incX;
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jy += incY;
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}
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REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
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IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
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ix += incX;
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iy += incY;
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}
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} else if ((order == CblasRowMajor && Uplo == CblasLower)
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|| (order == CblasColMajor && Uplo == CblasUpper)) {
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INDEX ix = OFFSET(N, incX);
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INDEX iy = OFFSET(N, incY);
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for (i = 0; i < N; i++) {
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BASE x_real = CONST_REAL(X, ix);
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BASE x_imag = CONST_IMAG(X, ix);
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BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag;
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BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real;
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BASE temp2_real = 0.0;
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BASE temp2_imag = 0.0;
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const INDEX j_min = (K > i ? 0 : i - K);
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const INDEX j_max = i;
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INDEX jx = OFFSET(N, incX) + j_min * incX;
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INDEX jy = OFFSET(N, incY) + j_min * incY;
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for (j = j_min; j < j_max; j++) {
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BASE Aij_real = CONST_REAL(A, i * lda + (K - i + j));
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BASE Aij_imag = conj * CONST_IMAG(A, i * lda + (K - i + j));
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REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag);
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IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real;
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x_real = CONST_REAL(X, jx);
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x_imag = CONST_IMAG(X, jx);
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temp2_real += x_real * Aij_real - x_imag * Aij_imag;
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temp2_imag += x_real * Aij_imag + x_imag * Aij_real;
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jx += incX;
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jy += incY;
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}
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{
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BASE Aii_real = CONST_REAL(A, lda * i + K);
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/* Aii_imag is zero */
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REAL(Y, iy) += temp1_real * Aii_real;
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IMAG(Y, iy) += temp1_imag * Aii_real;
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}
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REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag;
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IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real;
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ix += incX;
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iy += incY;
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}
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} else {
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BLAS_ERROR("unrecognized operation");
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}
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}
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}
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