static int ATL_potrf2(const int N, TYPE *A, const int lda) { int j, k; static const TYPE one[2] = {ATL_rone, ATL_rzero}; static const TYPE none[2] = {ATL_rnone, ATL_rzero}; const size_t lda2 = lda+lda; TYPE Ajj, *Ac=A, *An=A+lda2; for (k=j=0; j != N; j++, k += 2) { Ajj = Ac[k] - llt_dot(k, Ac, 1, Ac, 1); Ac[k+1] = ATL_rzero; if (Ajj > ATL_rzero) { Ac[k] = Ajj = sqrt(Ajj); if (j != N-1) { llt_scal(j, ATL_rnone, Ac+1, 2); cblas_gemv(CblasColMajor, CblasTrans, j, N-j-1, none, An, lda, Ac, 1, one, An+k, lda); llt_scal(j, ATL_rnone, Ac+1, 2); llt_rscal(N-j-1, ATL_rone/Ajj, An+k, lda); Ac = An; An += lda2; } } else { Ac[k] = Ajj; return(j+1); } } return(0); }
/* * Automatically Tuned Linear Algebra Software v3.11.28 * (C) Copyright 1999 R. Clint Whaley * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions, and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. The name of the ATLAS group or the names of its contributers may * not be used to endorse or promote products derived from this * software without specific written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ATLAS GROUP OR ITS CONTRIBUTORS * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * */ static int ATL_potrf2(const int N, TYPE *A, const int lda) { #ifdef TREAL TYPE Ajj, *Ac=A; const int N_1 = N-1; int j; for (j=0; j != N_1; j++, Ac += lda) { Ajj = Ac[j] - cblas_dot(j, A+j, lda, A+j, lda); if (Ajj > ATL_rzero) { Ac[j] = Ajj = sqrt(Ajj); cblas_gemv(CblasColMajor, CblasNoTrans, N-j-1, j, ATL_rnone, A+j+1, lda, A+j, lda, ATL_rone, Ac+j+1, 1); cblas_scal(N-j-1, ATL_rone/Ajj, Ac+j+1, 1); } else { Ac[j] = Ajj; return(j+1); } } Ajj = Ac[j] - cblas_dot(j, A+j, lda, A+j, lda); if (Ajj > ATL_rzero) Ac[j] = Ajj = sqrt(Ajj); else { Ac[j] = Ajj; return(N); } #else TYPE Ajj, *Ac=A; TYPE one[2] = {ATL_rone, ATL_rzero}; TYPE none[2] = {ATL_rnone, ATL_rzero}; const int N_1 = N-1, lda2 = lda<<1; int j, j2; for (j2=j=0; j != N_1; j++, j2 += 2, Ac += lda2) { Ajj = Ac[j2]; cblas_dotc_sub(j, A+j2, lda, A+j2, lda, Ac+j2); Ajj -= Ac[j2]; if (Ajj > ATL_rzero) { Ac[j2] = Ajj = sqrt(Ajj); llt_scal(j, ATL_rnone, A+j2+1, lda2); cblas_gemv(CblasColMajor, CblasNoTrans, N-j-1, j, none, A+j2+2, lda, A+j2, lda, one, Ac+j2+2, 1); llt_scal(j, ATL_rnone, A+j2+1, lda2); llt_scal((N-j-1)<<1, ATL_rone/Ajj, Ac+j2+2, 1); } else { Ac[j2] = Ajj; return(j+1); } } Ajj = Ac[j2]; cblas_dotc_sub(j, A+j2, lda, A+j2, lda, Ac+j2); Ajj -= Ac[j2]; if (Ajj > ATL_rzero) Ac[j2] = sqrt(Ajj); else { Ac[j2] = Ajj; return(N); } #endif return(0); }