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+/* blas/source_hemm.h
+ *
+ * Copyright (C) 2001 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 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, k;
+ INDEX n1, n2;
+ int uplo, side;
+
+ 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");
+ }
+}