umf_blas3_update.c
4.17 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
/* ========================================================================== */
/* === UMF_blas3_update ===================================================== */
/* ========================================================================== */
/* -------------------------------------------------------------------------- */
/* UMFPACK Copyright (c) Timothy A. Davis, CISE, */
/* Univ. of Florida. All Rights Reserved. See ../Doc/License for License. */
/* 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 i, j, s, k, m, n, d, nb, dc ;
#ifndef NBLAS
Int blas_ok = TRUE ;
#else
#define blas_ok FALSE
#endif
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)
{
#ifndef NBLAS
BLAS_GER (m, n, L, U, C, d) ;
#endif
if (!blas_ok)
{
/* 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
{
/* triangular solve to update the U block */
#ifndef NBLAS
BLAS_TRSM_RIGHT (n, k, LU, nb, U, dc) ;
#endif
if (!blas_ok)
{
/* use plain C code if no BLAS at compile time, or if integer
* overflow has occurred */
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) */
#ifndef NBLAS
BLAS_GEMM (m, n, k, L, U, dc, C, d) ;
#endif
if (!blas_ok)
{
/* use plain C code if no BLAS at compile time, or if integer
* overflow has occurred */
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++ ;
}
}
}
}
}
}
#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)) ;
}