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/* ========================================================================== */
/* === UMF_blas3_update ===================================================== */
/* ========================================================================== */
/* -------------------------------------------------------------------------- */
/* UMFPACK Version 4.1 (Apr. 30, 2003), Copyright (c) 2003 by Timothy A. */
/* Davis. All Rights Reserved. See ../README for License. */
/* email: davis@cise.ufl.edu CISE Department, Univ. of Florida. */
/* web: http://www.cise.ufl.edu/research/sparse/umfpack */
/* -------------------------------------------------------------------------- */
#include "umf_internal.h"
GLOBAL void UMF_blas3_update
(
WorkType *Work
)
{
/* ---------------------------------------------------------------------- */
/* local variables */
/* ---------------------------------------------------------------------- */
Entry *L, *U, *C, *LU ;
Int k, m, n, d, nb, dc ;
DEBUG5 (("In UMF_blas3_update "ID" "ID" "ID"\n",
Work->fnpiv, Work->fnrows, Work->fncols)) ;
k = Work->fnpiv ;
if (k == 0)
{
/* no work to do */
return ;
}
m = Work->fnrows ;
n = Work->fncols ;
d = Work->fnr_curr ;
dc = Work->fnc_curr ;
nb = Work->nb ;
ASSERT (d >= 0 && (d % 2) == 1) ;
C = Work->Fcblock ; /* ldc is fnr_curr */
L = Work->Flblock ; /* ldl is fnr_curr */
U = Work->Fublock ; /* ldu is fnc_curr, stored by rows */
LU = Work->Flublock ; /* nb-by-nb */
#ifndef NDEBUG
DEBUG5 (("DO RANK-NB UPDATE of frontal:\n")) ;
DEBUG5 (("DGEMM : "ID" "ID" "ID"\n", k, m, n)) ;
DEBUG7 (("C block: ")) ; UMF_dump_dense (C, d, m, n) ;
DEBUG7 (("A block: ")) ; UMF_dump_dense (L, d, m, k) ;
DEBUG7 (("B' block: ")) ; UMF_dump_dense (U, dc, n, k) ;
DEBUG7 (("LU block: ")) ; UMF_dump_dense (LU, nb, k, k) ;
#endif
if (k == 1)
{
#ifdef USE_NO_BLAS
/* no BLAS available - use plain C code instead */
Int i, j ;
/* rank-1 outer product to update the C block */
for (j = 0 ; j < n ; j++)
{
Entry u_j = U [j] ;
if (IS_NONZERO (u_j))
{
Entry *c_ij, *l_is ;
c_ij = & C [j*d] ;
l_is = & L [0] ;
#pragma ivdep
for (i = 0 ; i < m ; i++)
{
/* C [i+j*d]-= L [i] * U [j] */
MULT_SUB (*c_ij, *l_is, u_j) ;
c_ij++ ;
l_is++ ;
}
}
}
#else
BLAS_GER (m, n, L, U, C, d) ;
#endif /* USE_NO_BLAS */
}
else
{
#ifdef USE_NO_BLAS
/* no BLAS available - use plain C code instead */
Int i, j, s ;
/* triangular solve to update the U block */
for (s = 0 ; s < k ; s++)
{
for (i = s+1 ; i < k ; i++)
{
Entry l_is = LU [i+s*nb] ;
if (IS_NONZERO (l_is))
{
Entry *u_ij, *u_sj ;
u_ij = & U [i*dc] ;
u_sj = & U [s*dc] ;
#pragma ivdep
for (j = 0 ; j < n ; j++)
{
/* U [i*dc+j] -= LU [i+s*nb] * U [s*dc+j] ; */
MULT_SUB (*u_ij, l_is, *u_sj) ;
u_ij++ ;
u_sj++ ;
}
}
}
}
/* rank-k outer product to update the C block */
/* C = C - L*U' (U is stored by rows, not columns) */
for (s = 0 ; s < k ; s++)
{
for (j = 0 ; j < n ; j++)
{
Entry u_sj = U [j+s*dc] ;
if (IS_NONZERO (u_sj))
{
Entry *c_ij, *l_is ;
c_ij = & C [j*d] ;
l_is = & L [s*d] ;
#pragma ivdep
for (i = 0 ; i < m ; i++)
{
/* C [i+j*d]-= L [i+s*d] * U [s*dc+j] */
MULT_SUB (*c_ij, *l_is, u_sj) ;
c_ij++ ;
l_is++ ;
}
}
}
}
#else
BLAS_TRSM_RIGHT (n, k, LU, nb, U, dc) ;
BLAS_GEMM (m, n, k, L, U, dc, C, d) ;
#endif /* USE_NO_BLAS */
}
#ifndef NDEBUG
DEBUG5 (("RANK-NB UPDATE of frontal done:\n")) ;
DEBUG5 (("DGEMM : "ID" "ID" "ID"\n", k, m, n)) ;
DEBUG7 (("C block: ")) ; UMF_dump_dense (C, d, m, n) ;
DEBUG7 (("A block: ")) ; UMF_dump_dense (L, d, m, k) ;
DEBUG7 (("B' block: ")) ; UMF_dump_dense (U, dc, n, k) ;
DEBUG7 (("LU block: ")) ; UMF_dump_dense (LU, nb, k, k) ;
#endif
DEBUG2 (("blas3 "ID" "ID" "ID"\n", k, Work->fnrows, Work->fncols)) ;
}
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