1 /* blas/source_hemv.h 2 * 3 * Copyright (C) 2001, 2007 Brian Gough 4 * 5 * This program is free software; you can redistribute it and/or modify 6 * it under the terms of the GNU General Public License as published by 7 * the Free Software Foundation; either version 3 of the License, or (at 8 * your option) any later version. 9 * 10 * This program is distributed in the hope that it will be useful, but 11 * WITHOUT ANY WARRANTY; without even the implied warranty of 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 13 * General Public License for more details. 14 * 15 * You should have received a copy of the GNU General Public License 16 * along with this program; if not, write to the Free Software 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. 18 */ 19 20 { 21 const int conj = (order == CblasColMajor) ? -1 : 1; 22 INDEX i, j; 23 24 const BASE alpha_real = CONST_REAL0(alpha); 25 const BASE alpha_imag = CONST_IMAG0(alpha); 26 27 const BASE beta_real = CONST_REAL0(beta); 28 const BASE beta_imag = CONST_IMAG0(beta); 29 30 if ((alpha_real == 0.0 && alpha_imag == 0.0) 31 && (beta_real == 1.0 && beta_imag == 0.0)) 32 return; 33 34 /* form y := beta*y */ 35 if (beta_real == 0.0 && beta_imag == 0.0) { 36 INDEX iy = OFFSET(N, incY); 37 for (i = 0; i < N; i++) { 38 REAL(Y, iy) = 0.0; 39 IMAG(Y, iy) = 0.0; 40 iy += incY; 41 } 42 } else if (!(beta_real == 1.0 && beta_imag == 0.0)) { 43 INDEX iy = OFFSET(N, incY); 44 for (i = 0; i < N; i++) { 45 const BASE y_real = REAL(Y, iy); 46 const BASE y_imag = IMAG(Y, iy); 47 const BASE tmpR = y_real * beta_real - y_imag * beta_imag; 48 const BASE tmpI = y_real * beta_imag + y_imag * beta_real; 49 REAL(Y, iy) = tmpR; 50 IMAG(Y, iy) = tmpI; 51 iy += incY; 52 } 53 } 54 55 if (alpha_real == 0.0 && alpha_imag == 0.0) 56 return; 57 58 /* form y := alpha*A*x + y */ 59 60 if ((order == CblasRowMajor && Uplo == CblasUpper) 61 || (order == CblasColMajor && Uplo == CblasLower)) { 62 INDEX ix = OFFSET(N, incX); 63 INDEX iy = OFFSET(N, incY); 64 for (i = 0; i < N; i++) { 65 BASE x_real = CONST_REAL(X, ix); 66 BASE x_imag = CONST_IMAG(X, ix); 67 BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag; 68 BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real; 69 BASE temp2_real = 0.0; 70 BASE temp2_imag = 0.0; 71 const INDEX j_min = i + 1; 72 const INDEX j_max = N; 73 INDEX jx = OFFSET(N, incX) + j_min * incX; 74 INDEX jy = OFFSET(N, incY) + j_min * incY; 75 BASE Aii_real = CONST_REAL(A, lda * i + i); 76 /* Aii_imag is zero */ 77 REAL(Y, iy) += temp1_real * Aii_real; 78 IMAG(Y, iy) += temp1_imag * Aii_real; 79 for (j = j_min; j < j_max; j++) { 80 BASE Aij_real = CONST_REAL(A, lda * i + j); 81 BASE Aij_imag = conj * CONST_IMAG(A, lda * i + j); 82 REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag); 83 IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real; 84 x_real = CONST_REAL(X, jx); 85 x_imag = CONST_IMAG(X, jx); 86 temp2_real += x_real * Aij_real - x_imag * Aij_imag; 87 temp2_imag += x_real * Aij_imag + x_imag * Aij_real; 88 jx += incX; 89 jy += incY; 90 } 91 REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag; 92 IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real; 93 ix += incX; 94 iy += incY; 95 } 96 } else if ((order == CblasRowMajor && Uplo == CblasLower) 97 || (order == CblasColMajor && Uplo == CblasUpper)) { 98 INDEX ix = OFFSET(N, incX) + (N - 1) * incX; 99 INDEX iy = OFFSET(N, incY) + (N - 1) * incY; 100 for (i = N; i > 0 && i--;) { 101 BASE x_real = CONST_REAL(X, ix); 102 BASE x_imag = CONST_IMAG(X, ix); 103 BASE temp1_real = alpha_real * x_real - alpha_imag * x_imag; 104 BASE temp1_imag = alpha_real * x_imag + alpha_imag * x_real; 105 BASE temp2_real = 0.0; 106 BASE temp2_imag = 0.0; 107 const INDEX j_min = 0; 108 const INDEX j_max = i; 109 INDEX jx = OFFSET(N, incX) + j_min * incX; 110 INDEX jy = OFFSET(N, incY) + j_min * incY; 111 BASE Aii_real = CONST_REAL(A, lda * i + i); 112 /* Aii_imag is zero */ 113 REAL(Y, iy) += temp1_real * Aii_real; 114 IMAG(Y, iy) += temp1_imag * Aii_real; 115 116 for (j = j_min; j < j_max; j++) { 117 BASE Aij_real = CONST_REAL(A, lda * i + j); 118 BASE Aij_imag = conj * CONST_IMAG(A, lda * i + j); 119 REAL(Y, jy) += temp1_real * Aij_real - temp1_imag * (-Aij_imag); 120 IMAG(Y, jy) += temp1_real * (-Aij_imag) + temp1_imag * Aij_real; 121 x_real = CONST_REAL(X, jx); 122 x_imag = CONST_IMAG(X, jx); 123 temp2_real += x_real * Aij_real - x_imag * Aij_imag; 124 temp2_imag += x_real * Aij_imag + x_imag * Aij_real; 125 jx += incX; 126 jy += incY; 127 } 128 REAL(Y, iy) += alpha_real * temp2_real - alpha_imag * temp2_imag; 129 IMAG(Y, iy) += alpha_real * temp2_imag + alpha_imag * temp2_real; 130 ix -= incX; 131 iy -= incY; 132 } 133 } else { 134 BLAS_ERROR("unrecognized operation"); 135 } 136 } 137