/* blas/source_trmv_c.h * * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman * * 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. */ { const int conj = (TransA == CblasConjTrans) ? -1 : 1; const int Trans = (TransA != CblasConjTrans) ? TransA : CblasTrans; const int nonunit = (Diag == CblasNonUnit); INDEX i, j; CHECK_ARGS9(TRMV,order,Uplo,TransA,Diag,N,A,lda,X,incX); if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasUpper) || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasLower)) { /* form x := A*x */ INDEX ix = OFFSET(N, incX); for (i = 0; i < N; i++) { BASE temp_r = 0.0; BASE temp_i = 0.0; const INDEX j_min = i + 1; INDEX jx = OFFSET(N, incX) + incX * j_min; for (j = j_min; j < N; j++) { const BASE x_real = REAL(X, jx); const BASE x_imag = IMAG(X, jx); const BASE A_real = CONST_REAL(A, lda * i + j); const BASE A_imag = conj * CONST_IMAG(A, lda * i + j); temp_r += A_real * x_real - A_imag * x_imag; temp_i += A_real * x_imag + A_imag * x_real; jx += incX; } if (nonunit) { const BASE x_real = REAL(X, ix); const BASE x_imag = IMAG(X, ix); const BASE A_real = CONST_REAL(A, lda * i + i); const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); } else { REAL(X, ix) += temp_r; IMAG(X, ix) += temp_i; } ix += incX; } } else if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasLower) || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasUpper)) { INDEX ix = OFFSET(N, incX) + (N - 1) * incX; for (i = N; i > 0 && i--;) { BASE temp_r = 0.0; BASE temp_i = 0.0; const INDEX j_max = i; INDEX jx = OFFSET(N, incX); for (j = 0; j < j_max; j++) { const BASE x_real = REAL(X, jx); const BASE x_imag = IMAG(X, jx); const BASE A_real = CONST_REAL(A, lda * i + j); const BASE A_imag = conj * CONST_IMAG(A, lda * i + j); temp_r += A_real * x_real - A_imag * x_imag; temp_i += A_real * x_imag + A_imag * x_real; jx += incX; } if (nonunit) { const BASE x_real = REAL(X, ix); const BASE x_imag = IMAG(X, ix); const BASE A_real = CONST_REAL(A, lda * i + i); const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); } else { REAL(X, ix) += temp_r; IMAG(X, ix) += temp_i; } ix -= incX; } } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasUpper) || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasLower)) { /* form x := A'*x */ INDEX ix = OFFSET(N, incX) + (N - 1) * incX; for (i = N; i > 0 && i--;) { BASE temp_r = 0.0; BASE temp_i = 0.0; const INDEX j_max = i; INDEX jx = OFFSET(N, incX); for (j = 0; j < j_max; j++) { const BASE x_real = REAL(X, jx); const BASE x_imag = IMAG(X, jx); const BASE A_real = CONST_REAL(A, lda * j + i); const BASE A_imag = conj * CONST_IMAG(A, lda * j + i); temp_r += A_real * x_real - A_imag * x_imag; temp_i += A_real * x_imag + A_imag * x_real; jx += incX; } if (nonunit) { const BASE x_real = REAL(X, ix); const BASE x_imag = IMAG(X, ix); const BASE A_real = CONST_REAL(A, lda * i + i); const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); } else { REAL(X, ix) += temp_r; IMAG(X, ix) += temp_i; } ix -= incX; } } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasLower) || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasUpper)) { INDEX ix = OFFSET(N, incX); for (i = 0; i < N; i++) { BASE temp_r = 0.0; BASE temp_i = 0.0; const INDEX j_min = i + 1; INDEX jx = OFFSET(N, incX) + j_min * incX; for (j = j_min; j < N; j++) { const BASE x_real = REAL(X, jx); const BASE x_imag = IMAG(X, jx); const BASE A_real = CONST_REAL(A, lda * j + i); const BASE A_imag = conj * CONST_IMAG(A, lda * j + i); temp_r += A_real * x_real - A_imag * x_imag; temp_i += A_real * x_imag + A_imag * x_real; jx += incX; } if (nonunit) { const BASE x_real = REAL(X, ix); const BASE x_imag = IMAG(X, ix); const BASE A_real = CONST_REAL(A, lda * i + i); const BASE A_imag = conj * CONST_IMAG(A, lda * i + i); REAL(X, ix) = temp_r + (A_real * x_real - A_imag * x_imag); IMAG(X, ix) = temp_i + (A_real * x_imag + A_imag * x_real); } else { REAL(X, ix) += temp_r; IMAG(X, ix) += temp_i; } ix += incX; } } else { BLAS_ERROR("unrecognized operation"); } }