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diff --git a/gsl-1.9/cblas/source_her2k.h b/gsl-1.9/cblas/source_her2k.h
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+/* blas/source_her2k_c.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;
+ int uplo, trans;
+
+ const BASE alpha_real = CONST_REAL0(alpha);
+ BASE alpha_imag = CONST_IMAG0(alpha);
+
+ if (beta == 1.0 && ((alpha_real == 0.0 && alpha_imag == 0.0) || K == 0))
+ return;
+
+ if (Order == CblasRowMajor) {
+ uplo = Uplo;
+ trans = Trans;
+ } else {
+ uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;
+ trans = (Trans == CblasNoTrans) ? CblasConjTrans : CblasNoTrans;
+ alpha_imag *= -1; /* conjugate alpha */
+ }
+
+ /* form C := beta*C */
+
+ if (beta == 0.0) {
+ if (uplo == CblasUpper) {
+ for (i = 0; i < N; i++) {
+ for (j = i; j < N; j++) {
+ REAL(C, ldc * i + j) = 0.0;
+ IMAG(C, ldc * i + j) = 0.0;
+ }
+ }
+ } else {
+ for (i = 0; i < N; i++) {
+ for (j = 0; j <= i; j++) {
+ REAL(C, ldc * i + j) = 0.0;
+ IMAG(C, ldc * i + j) = 0.0;
+ }
+ }
+ }
+ } else if (beta != 1.0) {
+ if (uplo == CblasUpper) {
+ for (i = 0; i < N; i++) {
+ REAL(C, ldc * i + i) *= beta;
+ IMAG(C, ldc * i + i) = 0.0;
+ for (j = i + 1; j < N; j++) {
+ REAL(C, ldc * i + j) *= beta;
+ IMAG(C, ldc * i + j) *= beta;
+ }
+ }
+ } else {
+ for (i = 0; i < N; i++) {
+ for (j = 0; j < i; j++) {
+ REAL(C, ldc * i + j) *= beta;
+ IMAG(C, ldc * i + j) *= beta;
+ }
+ REAL(C, ldc * i + i) *= beta;
+ IMAG(C, ldc * i + i) = 0.0;
+ }
+ }
+ } else {
+ for (i = 0; i < N; i++) {
+ IMAG(C, ldc * i + i) = 0.0;
+ }
+ }
+
+ if (alpha_real == 0.0 && alpha_imag == 0.0)
+ return;
+
+ if (uplo == CblasUpper && trans == CblasNoTrans) {
+
+ for (i = 0; i < N; i++) {
+
+ /* Cii += alpha Aik conj(Bik) + conj(alpha) Bik conj(Aik) */
+ {
+ BASE temp_real = 0.0;
+ /* BASE temp_imag = 0.0; */
+ for (k = 0; k < K; k++) {
+ const BASE Aik_real = CONST_REAL(A, i * lda + k);
+ const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
+ /* temp1 = alpha * Aik */
+ const BASE temp1_real = alpha_real * Aik_real - alpha_imag * Aik_imag;
+ const BASE temp1_imag = alpha_real * Aik_imag + alpha_imag * Aik_real;
+ const BASE Bik_real = CONST_REAL(B, i * ldb + k);
+ const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
+ temp_real += temp1_real * Bik_real + temp1_imag * Bik_imag;
+ }
+
+ REAL(C, i * ldc + i) += 2 * temp_real;
+ IMAG(C, i * ldc + i) = 0.0;
+ }
+
+ /* Cij += alpha Aik conj(Bjk) + conj(alpha) Bik conj(Ajk) */
+ for (j = i + 1; j < N; j++) {
+ BASE temp_real = 0.0;
+ BASE temp_imag = 0.0;
+ for (k = 0; k < K; k++) {
+ const BASE Aik_real = CONST_REAL(A, i * lda + k);
+ const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
+ /* temp1 = alpha * Aik */
+ const BASE temp1_real = alpha_real * Aik_real - alpha_imag * Aik_imag;
+ const BASE temp1_imag = alpha_real * Aik_imag + alpha_imag * Aik_real;
+ const BASE Bik_real = CONST_REAL(B, i * ldb + k);
+ const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
+
+ const BASE Ajk_real = CONST_REAL(A, j * lda + k);
+ const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
+ /* temp2 = alpha * Ajk */
+ const BASE temp2_real = alpha_real * Ajk_real - alpha_imag * Ajk_imag;
+ const BASE temp2_imag = alpha_real * Ajk_imag + alpha_imag * Ajk_real;
+ const BASE Bjk_real = CONST_REAL(B, j * ldb + k);
+ const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k);
+
+ /* Cij += alpha * Aik * conj(Bjk) + conj(alpha) * Bik * conj(Ajk) */
+ temp_real += ((temp1_real * Bjk_real + temp1_imag * Bjk_imag)
+ + (Bik_real * temp2_real + Bik_imag * temp2_imag));
+ temp_imag += ((temp1_real * (-Bjk_imag) + temp1_imag * Bjk_real)
+ + (Bik_real * (-temp2_imag) + Bik_imag * temp2_real));
+ }
+ REAL(C, i * ldc + j) += temp_real;
+ IMAG(C, i * ldc + j) += temp_imag;
+ }
+ }
+
+ } else if (uplo == CblasUpper && trans == CblasConjTrans) {
+
+ for (k = 0; k < K; k++) {
+ for (i = 0; i < N; i++) {
+ BASE Aki_real = CONST_REAL(A, k * lda + i);
+ BASE Aki_imag = CONST_IMAG(A, k * lda + i);
+ BASE Bki_real = CONST_REAL(B, k * ldb + i);
+ BASE Bki_imag = CONST_IMAG(B, k * ldb + i);
+ /* temp1 = alpha * conj(Aki) */
+ BASE temp1_real = alpha_real * Aki_real - alpha_imag * (-Aki_imag);
+ BASE temp1_imag = alpha_real * (-Aki_imag) + alpha_imag * Aki_real;
+ /* temp2 = conj(alpha) * conj(Bki) */
+ BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag;
+ BASE temp2_imag = -(alpha_real * Bki_imag + alpha_imag * Bki_real);
+
+ /* Cii += alpha * conj(Aki) * Bki + conj(alpha) * conj(Bki) * Aki */
+ {
+ REAL(C, i * lda + i) += 2 * (temp1_real * Bki_real - temp1_imag * Bki_imag);
+ IMAG(C, i * lda + i) = 0.0;
+ }
+
+ for (j = i + 1; j < N; j++) {
+ BASE Akj_real = CONST_REAL(A, k * lda + j);
+ BASE Akj_imag = CONST_IMAG(A, k * lda + j);
+ BASE Bkj_real = CONST_REAL(B, k * ldb + j);
+ BASE Bkj_imag = CONST_IMAG(B, k * ldb + j);
+ /* Cij += alpha * conj(Aki) * Bkj + conj(alpha) * conj(Bki) * Akj */
+ REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag)
+ + (temp2_real * Akj_real - temp2_imag * Akj_imag);
+ IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real)
+ + (temp2_real * Akj_imag + temp2_imag * Akj_real);
+ }
+ }
+ }
+
+ } else if (uplo == CblasLower && trans == CblasNoTrans) {
+
+ for (i = 0; i < N; i++) {
+
+ /* Cij += alpha Aik conj(Bjk) + conj(alpha) Bik conj(Ajk) */
+
+ for (j = 0; j < i; j++) {
+ BASE temp_real = 0.0;
+ BASE temp_imag = 0.0;
+ for (k = 0; k < K; k++) {
+ const BASE Aik_real = CONST_REAL(A, i * lda + k);
+ const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
+ /* temp1 = alpha * Aik */
+ const BASE temp1_real = alpha_real * Aik_real - alpha_imag * Aik_imag;
+ const BASE temp1_imag = alpha_real * Aik_imag + alpha_imag * Aik_real;
+ const BASE Bik_real = CONST_REAL(B, i * ldb + k);
+ const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
+
+ const BASE Ajk_real = CONST_REAL(A, j * lda + k);
+ const BASE Ajk_imag = CONST_IMAG(A, j * lda + k);
+ /* temp2 = alpha * Ajk */
+ const BASE temp2_real = alpha_real * Ajk_real - alpha_imag * Ajk_imag;
+ const BASE temp2_imag = alpha_real * Ajk_imag + alpha_imag * Ajk_real;
+ const BASE Bjk_real = CONST_REAL(B, j * ldb + k);
+ const BASE Bjk_imag = CONST_IMAG(B, j * ldb + k);
+
+ /* Cij += alpha * Aik * conj(Bjk) + conj(alpha) * Bik * conj(Ajk) */
+ temp_real += ((temp1_real * Bjk_real + temp1_imag * Bjk_imag)
+ + (Bik_real * temp2_real + Bik_imag * temp2_imag));
+ temp_imag += ((temp1_real * (-Bjk_imag) + temp1_imag * Bjk_real)
+ + (Bik_real * (-temp2_imag) + Bik_imag * temp2_real));
+ }
+ REAL(C, i * ldc + j) += temp_real;
+ IMAG(C, i * ldc + j) += temp_imag;
+ }
+
+ /* Cii += alpha Aik conj(Bik) + conj(alpha) Bik conj(Aik) */
+ {
+ BASE temp_real = 0.0;
+ /* BASE temp_imag = 0.0; */
+ for (k = 0; k < K; k++) {
+ const BASE Aik_real = CONST_REAL(A, i * lda + k);
+ const BASE Aik_imag = CONST_IMAG(A, i * lda + k);
+ /* temp1 = alpha * Aik */
+ const BASE temp1_real = alpha_real * Aik_real - alpha_imag * Aik_imag;
+ const BASE temp1_imag = alpha_real * Aik_imag + alpha_imag * Aik_real;
+ const BASE Bik_real = CONST_REAL(B, i * ldb + k);
+ const BASE Bik_imag = CONST_IMAG(B, i * ldb + k);
+ temp_real += temp1_real * Bik_real + temp1_imag * Bik_imag;
+ }
+
+ REAL(C, i * ldc + i) += 2 * temp_real;
+ IMAG(C, i * ldc + i) = 0.0;
+ }
+ }
+
+ } else if (uplo == CblasLower && trans == CblasConjTrans) {
+
+ for (k = 0; k < K; k++) {
+ for (i = 0; i < N; i++) {
+ BASE Aki_real = CONST_REAL(A, k * lda + i);
+ BASE Aki_imag = CONST_IMAG(A, k * lda + i);
+ BASE Bki_real = CONST_REAL(B, k * ldb + i);
+ BASE Bki_imag = CONST_IMAG(B, k * ldb + i);
+ /* temp1 = alpha * conj(Aki) */
+ BASE temp1_real = alpha_real * Aki_real - alpha_imag * (-Aki_imag);
+ BASE temp1_imag = alpha_real * (-Aki_imag) + alpha_imag * Aki_real;
+ /* temp2 = conj(alpha) * conj(Bki) */
+ BASE temp2_real = alpha_real * Bki_real - alpha_imag * Bki_imag;
+ BASE temp2_imag = -(alpha_real * Bki_imag + alpha_imag * Bki_real);
+
+ for (j = 0; j < i; j++) {
+ BASE Akj_real = CONST_REAL(A, k * lda + j);
+ BASE Akj_imag = CONST_IMAG(A, k * lda + j);
+ BASE Bkj_real = CONST_REAL(B, k * ldb + j);
+ BASE Bkj_imag = CONST_IMAG(B, k * ldb + j);
+ /* Cij += alpha * conj(Aki) * Bkj + conj(alpha) * conj(Bki) * Akj */
+ REAL(C, i * lda + j) += (temp1_real * Bkj_real - temp1_imag * Bkj_imag)
+ + (temp2_real * Akj_real - temp2_imag * Akj_imag);
+ IMAG(C, i * lda + j) += (temp1_real * Bkj_imag + temp1_imag * Bkj_real)
+ + (temp2_real * Akj_imag + temp2_imag * Akj_real);
+ }
+
+ /* Cii += alpha * conj(Aki) * Bki + conj(alpha) * conj(Bki) * Aki */
+ {
+ REAL(C, i * lda + i) += 2 * (temp1_real * Bki_real - temp1_imag * Bki_imag);
+ IMAG(C, i * lda + i) = 0.0;
+ }
+ }
+ }
+ } else {
+ BLAS_ERROR("unrecognized operation");
+ }
+}
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