1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
|
/* blas/source_hemm.h
*
* Copyright (C) 2001, 2007 Brian Gough
*
* 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, k;
INDEX n1, n2;
int uplo, side;
CHECK_ARGS13(HEMM,Order,Side,Uplo,M,N,alpha,A,lda,B,ldb,beta,C,ldc);
{
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 ((alpha_real == 0.0 && alpha_imag == 0.0)
&& (beta_real == 1.0 && beta_imag == 0.0))
return;
if (Order == CblasRowMajor) {
n1 = M;
n2 = N;
uplo = Uplo;
side = Side;
} else {
n1 = N;
n2 = M;
uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
side = (Side == CblasLeft) ? CblasRight : CblasLeft;
}
/* form y := beta*y */
if (beta_real == 0.0 && beta_imag == 0.0) {
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
REAL(C, ldc * i + j) = 0.0;
IMAG(C, ldc * i + j) = 0.0;
}
}
} else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Cij_real = REAL(C, ldc * i + j);
const BASE Cij_imag = IMAG(C, ldc * i + j);
REAL(C, ldc * i + j) = beta_real * Cij_real - beta_imag * Cij_imag;
IMAG(C, ldc * i + j) = beta_real * Cij_imag + beta_imag * Cij_real;
}
}
}
if (alpha_real == 0.0 && alpha_imag == 0.0)
return;
if (side == CblasLeft && uplo == CblasUpper) {
/* form C := alpha*A*B + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
{
const BASE Aii_real = CONST_REAL(A, i * lda + i);
/* const BASE Aii_imag = 0.0; */
REAL(C, i * ldc + j) += temp1_real * Aii_real;
IMAG(C, i * ldc + j) += temp1_imag * Aii_real;
}
for (k = i + 1; k < n1; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
REAL(C, k * ldc + j) += Aik_real * temp1_real - (-Aik_imag) * temp1_imag;
IMAG(C, k * ldc + j) += Aik_real * temp1_imag + (-Aik_imag) * temp1_real;
temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasLeft && uplo == CblasLower) {
/* form C := alpha*A*B + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
for (k = 0; k < i; k++) {
const BASE Aik_real = CONST_REAL(A, i * lda + k);
const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
const BASE Bkj_real = CONST_REAL(B, ldb * k + j);
const BASE Bkj_imag = CONST_IMAG(B, ldb * k + j);
REAL(C, k * ldc + j) += Aik_real * temp1_real - (-Aik_imag) * temp1_imag;
IMAG(C, k * ldc + j) += Aik_real * temp1_imag + (-Aik_imag) * temp1_real;
temp2_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;
temp2_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;
}
{
const BASE Aii_real = CONST_REAL(A, i * lda + i);
/* const BASE Aii_imag = 0.0; */
REAL(C, i * ldc + j) += temp1_real * Aii_real;
IMAG(C, i * ldc + j) += temp1_imag * Aii_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasRight && uplo == CblasUpper) {
/* form C := alpha*B*A + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
{
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
/* const BASE Ajj_imag = 0.0; */
REAL(C, i * ldc + j) += temp1_real * Ajj_real;
IMAG(C, i * ldc + j) += temp1_imag * Ajj_real;
}
for (k = j + 1; k < n2; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bik_real = CONST_REAL(B, ldb * i + k);
const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
temp2_real += Bik_real * Ajk_real - Bik_imag * (-Ajk_imag);
temp2_imag += Bik_real * (-Ajk_imag) + Bik_imag * Ajk_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else if (side == CblasRight && uplo == CblasLower) {
/* form C := alpha*B*A + C */
for (i = 0; i < n1; i++) {
for (j = 0; j < n2; j++) {
const BASE Bij_real = CONST_REAL(B, ldb * i + j);
const BASE Bij_imag = CONST_IMAG(B, ldb * i + j);
const BASE temp1_real = alpha_real * Bij_real - alpha_imag * Bij_imag;
const BASE temp1_imag = alpha_real * Bij_imag + alpha_imag * Bij_real;
BASE temp2_real = 0.0;
BASE temp2_imag = 0.0;
for (k = 0; k < j; k++) {
const BASE Ajk_real = CONST_REAL(A, j * lda + k);
const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
const BASE Bik_real = CONST_REAL(B, ldb * i + k);
const BASE Bik_imag = CONST_IMAG(B, ldb * i + k);
REAL(C, i * ldc + k) += temp1_real * Ajk_real - temp1_imag * Ajk_imag;
IMAG(C, i * ldc + k) += temp1_real * Ajk_imag + temp1_imag * Ajk_real;
temp2_real += Bik_real * Ajk_real - Bik_imag * (-Ajk_imag);
temp2_imag += Bik_real * (-Ajk_imag) + Bik_imag * Ajk_real;
}
{
const BASE Ajj_real = CONST_REAL(A, j * lda + j);
/* const BASE Ajj_imag = 0.0; */
REAL(C, i * ldc + j) += temp1_real * Ajj_real;
IMAG(C, i * ldc + j) += temp1_imag * Ajj_real;
}
REAL(C, i * ldc + j) += alpha_real * temp2_real - alpha_imag * temp2_imag;
IMAG(C, i * ldc + j) += alpha_real * temp2_imag + alpha_imag * temp2_real;
}
}
} else {
BLAS_ERROR("unrecognized operation");
}
}
}
|