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/* blas/source_gbmv_c.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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INDEX lenX, lenY, L, U;
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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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CHECK_ARGS14(GBMV,order,TransA,M,N,KL,KU,alpha,A,lda,X,incX,beta,Y,incY);
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if (M == 0 || 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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if (TransA == CblasNoTrans) {
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lenX = N;
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lenY = M;
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L = KL;
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U = KU;
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} else {
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lenX = M;
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lenY = N;
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L = KU;
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U = KL;
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}
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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(lenY, incY);
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for (i = 0; i < lenY; 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(lenY, incY);
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for (i = 0; i < lenY; 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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if ((order == CblasRowMajor && TransA == CblasNoTrans)
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|| (order == CblasColMajor && TransA == CblasTrans)) {
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/* form y := alpha*A*x + y */
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INDEX iy = OFFSET(lenY, incY);
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for (i = 0; i < lenY; i++) {
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BASE dotR = 0.0;
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BASE dotI = 0.0;
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const INDEX j_min = (i > L ? i - L : 0);
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const INDEX j_max = GSL_MIN(lenX, i + U + 1);
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INDEX ix = OFFSET(lenX, incX) + j_min * incX;
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for (j = j_min; j < j_max; j++) {
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const BASE x_real = CONST_REAL(X, ix);
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const BASE x_imag = CONST_IMAG(X, ix);
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const BASE A_real = CONST_REAL(A, lda * i + (L + j - i));
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const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i));
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dotR += A_real * x_real - A_imag * x_imag;
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dotI += A_real * x_imag + A_imag * x_real;
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ix += incX;
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}
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REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI;
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IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR;
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iy += incY;
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}
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} else if ((order == CblasRowMajor && TransA == CblasTrans)
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|| (order == CblasColMajor && TransA == CblasNoTrans)) {
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/* form y := alpha*A'*x + y */
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INDEX ix = OFFSET(lenX, incX);
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for (j = 0; j < lenX; j++) {
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const BASE x_real = CONST_REAL(X, ix);
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const BASE x_imag = CONST_IMAG(X, ix);
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BASE tmpR = alpha_real * x_real - alpha_imag * x_imag;
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BASE tmpI = alpha_real * x_imag + alpha_imag * x_real;
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if (!(tmpR == 0.0 && tmpI == 0.0)) {
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const INDEX i_min = (j > U ? j - U : 0);
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const INDEX i_max = GSL_MIN(lenY, j + L + 1);
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INDEX iy = OFFSET(lenY, incY) + i_min * incY;
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for (i = i_min; i < i_max; i++) {
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const BASE A_real = CONST_REAL(A, lda * j + (U + i - j));
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const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j));
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REAL(Y, iy) += A_real * tmpR - A_imag * tmpI;
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IMAG(Y, iy) += A_real * tmpI + A_imag * tmpR;
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iy += incY;
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}
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}
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ix += incX;
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}
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} else if (order == CblasRowMajor && TransA == CblasConjTrans) {
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/* form y := alpha*A^H*x + y */
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INDEX ix = OFFSET(lenX, incX);
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for (j = 0; j < lenX; j++) {
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const BASE x_real = CONST_REAL(X, ix);
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const BASE x_imag = CONST_IMAG(X, ix);
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BASE tmpR = alpha_real * x_real - alpha_imag * x_imag;
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BASE tmpI = alpha_real * x_imag + alpha_imag * x_real;
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if (!(tmpR == 0.0 && tmpI == 0.0)) {
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const INDEX i_min = (j > U ? j - U : 0);
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const INDEX i_max = GSL_MIN(lenY, j + L + 1);
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INDEX iy = OFFSET(lenY, incY) + i_min * incY;
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for (i = i_min; i < i_max; i++) {
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const BASE A_real = CONST_REAL(A, lda * j + (U + i - j));
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const BASE A_imag = CONST_IMAG(A, lda * j + (U + i - j));
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REAL(Y, iy) += A_real * tmpR - (-A_imag) * tmpI;
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IMAG(Y, iy) += A_real * tmpI + (-A_imag) * tmpR;
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iy += incY;
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}
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}
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ix += incX;
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}
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} else if (order == CblasColMajor && TransA == CblasConjTrans) {
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/* form y := alpha*A^H*x + y */
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INDEX iy = OFFSET(lenY, incY);
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for (i = 0; i < lenY; i++) {
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BASE dotR = 0.0;
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BASE dotI = 0.0;
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const INDEX j_min = (i > L ? i - L : 0);
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const INDEX j_max = GSL_MIN(lenX, i + U + 1);
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INDEX ix = OFFSET(lenX, incX) + j_min * incX;
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for (j = j_min; j < j_max; j++) {
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const BASE x_real = CONST_REAL(X, ix);
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const BASE x_imag = CONST_IMAG(X, ix);
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const BASE A_real = CONST_REAL(A, lda * i + (L + j - i));
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const BASE A_imag = CONST_IMAG(A, lda * i + (L + j - i));
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dotR += A_real * x_real - (-A_imag) * x_imag;
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dotI += A_real * x_imag + (-A_imag) * x_real;
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ix += incX;
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}
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REAL(Y, iy) += alpha_real * dotR - alpha_imag * dotI;
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IMAG(Y, iy) += alpha_real * dotI + alpha_imag * dotR;
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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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