diff options
Diffstat (limited to 'gsl-1.9/cblas/source_symm_c.h')
-rw-r--r-- | gsl-1.9/cblas/source_symm_c.h | 203 |
1 files changed, 203 insertions, 0 deletions
diff --git a/gsl-1.9/cblas/source_symm_c.h b/gsl-1.9/cblas/source_symm_c.h new file mode 100644 index 0000000..8959dcc --- /dev/null +++ b/gsl-1.9/cblas/source_symm_c.h @@ -0,0 +1,203 @@ +/* blas/source_symm_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; + 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 = CONST_IMAG(A, i * lda + i); + REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag; + IMAG(C, i * ldc + j) += temp1_real * Aii_imag + 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 = CONST_IMAG(A, i * lda + i); + REAL(C, i * ldc + j) += temp1_real * Aii_real - temp1_imag * Aii_imag; + IMAG(C, i * ldc + j) += temp1_real * Aii_imag + 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 = CONST_IMAG(A, j * lda + j); + REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag; + IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + 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 = CONST_IMAG(A, j * lda + j); + REAL(C, i * ldc + j) += temp1_real * Ajj_real - temp1_imag * Ajj_imag; + IMAG(C, i * ldc + j) += temp1_real * Ajj_imag + 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"); + } +} |