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
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
|
/*
-- MAGMA (version 2.5.4) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date October 2020
@author Azzam Haidar
@author Stan Tomov
@author Raffaele Solca
*/
#include "magma_internal.h"
#define applyQver 113
#ifdef __cplusplus
extern "C" {
#endif
// =============================================================================
// Auxiliary functions for 2-stage eigensolvers
/******************************************************************************/
void cmp_vals(magma_int_t n, double *wr1, double *wr2, double *nrmI, double *nrm1, double *nrm2)
{
magma_int_t i;
double curv, maxv, sumv;
maxv = 0.0;
sumv = 0.0;
for (i = 0; i < n; ++i) {
curv = fabs( wr1[i] - wr2[i]);
sumv += curv;
if (maxv < curv) maxv = curv;
}
*nrmI = maxv;
*nrm1 = sumv;
*nrm2 = sqrt( sumv );
}
/******************************************************************************/
void magma_bulge_findpos113(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t *myblkid)
{
magma_int_t prevGblkid, mastersweep;
magma_int_t locblknb = 0;
magma_int_t prevblkcnt = 0;
magma_int_t myblknb = 0;
magma_int_t lstGblkid = magma_ceildiv( n-1, Vblksiz ) - 1; //nbGblk-1;
magma_int_t myGblkid = sweep/Vblksiz;
// go forward and for each Gblk(a column of blocks) before my Gblk compute its number of blk.
//===================================================
for (prevGblkid = lstGblkid; prevGblkid > myGblkid; prevGblkid--)
{
mastersweep = prevGblkid * Vblksiz;
if (prevGblkid == lstGblkid)
locblknb = magma_ceildiv((n-(mastersweep+1)), nb);
else
locblknb = magma_ceildiv((n-(mastersweep+2)), nb);
prevblkcnt = prevblkcnt + locblknb;
}
//===================================================
/*
// for best performance, the if condiiton inside the loop
// is only for prevblkid == lastblkid so I can unroll this
// out of the loop and so remove the if condition.
//===================================================
// for prevGblkid == lstGblkid
mastersweep = lstGblkid * Vblksiz;
locblknb = magma_ceildiv((n-(mastersweep+1)), nb);
prevblkcnt = prevblkcnt + locblknb;
// the remaining of the loop
for (prevGblkid = lstGblkid-1; prevGblkid > myGblkid; prevGblkid--)
{
mastersweep = prevGblkid * Vblksiz;
locblknb = magma_ceildiv((n-(mastersweep+2)), nb);
prevblkcnt = prevblkcnt + locblknb;
}
//===================================================
*/
myblknb = magma_ceildiv((st-sweep), nb);
*myblkid = prevblkcnt + myblknb -1;
//printf("voici sweep %d lstGblkid %d myGblkid %d prevcnt %d myblknb %d myblkid %d\n", sweep, lstGblkid, myGblkid, prevblkcnt, myblknb, *myblkid );
}
/******************************************************************************/
void magma_bulge_findpos(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t *myblkid)
{
magma_int_t locblknb, prevblkcnt, prevGblkid;
magma_int_t myblknb, nbprevGblk, mastersweep;
locblknb = 0;
prevblkcnt = 0;
myblknb = 0;
nbprevGblk = sweep/Vblksiz;
for (prevGblkid = 0; prevGblkid < nbprevGblk; prevGblkid++)
{
mastersweep = prevGblkid * Vblksiz;
locblknb = magma_ceildiv((n-(mastersweep+2)), nb);
prevblkcnt = prevblkcnt + locblknb;
}
myblknb = magma_ceildiv((st-sweep), nb);
*myblkid = prevblkcnt + myblknb -1;
}
/******************************************************************************/
void magma_bulge_findVTAUpos(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t ldv,
magma_int_t *Vpos, magma_int_t *TAUpos)
{
magma_int_t myblkid;
magma_int_t locj = sweep%Vblksiz;
if (applyQver == 113)
magma_bulge_findpos113(n, nb, Vblksiz, sweep, st, &myblkid);
else
magma_bulge_findpos(n, nb, Vblksiz, sweep, st, &myblkid);
*Vpos = myblkid*Vblksiz*ldv + locj*ldv + locj;
*TAUpos = myblkid*Vblksiz + locj;
}
/******************************************************************************/
void magma_bulge_findVTpos(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t ldv, magma_int_t ldt,
magma_int_t *Vpos, magma_int_t *Tpos)
{
magma_int_t myblkid;
magma_int_t locj = sweep%Vblksiz;
if (applyQver == 113)
magma_bulge_findpos113(n, nb, Vblksiz, sweep, st, &myblkid);
else
magma_bulge_findpos(n, nb, Vblksiz, sweep, st, &myblkid);
*Vpos = myblkid*Vblksiz*ldv + locj*ldv + locj;
*Tpos = myblkid*Vblksiz*ldt + locj*ldt + locj;
}
/******************************************************************************/
void magma_bulge_findVTAUTpos(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t ldv, magma_int_t ldt,
magma_int_t *Vpos, magma_int_t *TAUpos, magma_int_t *Tpos, magma_int_t *blkid)
{
magma_int_t myblkid;
magma_int_t locj = sweep%Vblksiz;
if (applyQver == 113)
magma_bulge_findpos113(n, nb, Vblksiz, sweep, st, &myblkid);
else
magma_bulge_findpos(n, nb, Vblksiz, sweep, st, &myblkid);
*Vpos = myblkid*Vblksiz*ldv + locj*ldv + locj;
*TAUpos = myblkid*Vblksiz + locj;
*Tpos = myblkid*Vblksiz*ldt + locj*ldt + locj;
*blkid = myblkid;
}
/******************************************************************************/
magma_int_t magma_bulge_get_blkcnt(magma_int_t n, magma_int_t nb, magma_int_t Vblksiz)
{
magma_int_t colblk, nbcolblk;
magma_int_t myblknb, mastersweep;
magma_int_t blkcnt = 0;
nbcolblk = magma_ceildiv((n-1), Vblksiz);
for (colblk = 0; colblk<nbcolblk; colblk++)
{
mastersweep = colblk * Vblksiz;
if (colblk == (nbcolblk-1))
myblknb = magma_ceildiv((n-(mastersweep+1)), nb);
else
myblknb = magma_ceildiv((n-(mastersweep+2)), nb);
blkcnt = blkcnt + myblknb;
//printf("voici nbcolblk %d master sweep %d blkcnt %d\n", nbcolblk, mastersweep, *blkcnt);
}
return blkcnt;
}
/******************************************************************************/
magma_int_t magma_bulge_getlwstg1(magma_int_t n, magma_int_t nb, magma_int_t *lda2)
{
lda2[0] = 2*nb; //nb+1+nb-1
return n*lda2[0];
}
// =============================================================================
// Old functions
/******************************************************************************/
void findVTpos(magma_int_t N, magma_int_t NB, magma_int_t Vblksiz, magma_int_t sweep, magma_int_t st, magma_int_t *Vpos, magma_int_t *TAUpos, magma_int_t *Tpos, magma_int_t *myblkid)
{
// to be able to use and compare with the old reduction function.
// route the old function to the new ones because the changes are done on the new function.
magma_int_t ldv = NB + Vblksiz;
magma_int_t ldt = Vblksiz;
magma_bulge_findVTAUTpos(N, NB, Vblksiz, sweep, st, ldv, ldt,
Vpos, TAUpos, Tpos, myblkid);
return;
magma_int_t locblknb, prevblkcnt, prevGblkid;
magma_int_t myblknb, nbprevGblk, mastersweep;
magma_int_t blkid, locj, LDV;
locblknb = 0;
prevblkcnt = 0;
myblknb = 0;
nbprevGblk = sweep/Vblksiz;
for (prevGblkid = 0; prevGblkid < nbprevGblk; prevGblkid++)
{
mastersweep = prevGblkid * Vblksiz;
locblknb = magma_ceildiv((N-(mastersweep+2)), NB);
prevblkcnt = prevblkcnt + locblknb;
}
myblknb = magma_ceildiv((st-sweep), NB);
blkid = prevblkcnt + myblknb -1;
locj = sweep%Vblksiz;
LDV = NB + Vblksiz;
*myblkid= blkid;
*Vpos = blkid*Vblksiz*LDV + locj*LDV + locj;
*TAUpos = blkid*Vblksiz + locj;
*Tpos = blkid*Vblksiz*Vblksiz + locj*Vblksiz + locj;
//printf("voici blkid %d locj %d vpos %d tpos %d\n", blkid, locj, *Vpos, *Tpos);
}
/******************************************************************************/
void findVTsiz(magma_int_t N, magma_int_t NB, magma_int_t Vblksiz, magma_int_t *blkcnt, magma_int_t *LDV)
{
magma_int_t colblk, nbcolblk;
magma_int_t myblknb, mastersweep;
*blkcnt = 0;
nbcolblk = magma_ceildiv((N-1), Vblksiz);
for (colblk = 0; colblk<nbcolblk; colblk++)
{
mastersweep = colblk * Vblksiz;
if (colblk == (nbcolblk-1))
myblknb = magma_ceildiv((N-(mastersweep+1)), NB);
else
myblknb = magma_ceildiv((N-(mastersweep+2)), NB);
*blkcnt = *blkcnt + myblknb;
//printf("voici nbcolblk %d master sweep %d blkcnt %d\n", nbcolblk, mastersweep, *blkcnt);
}
*LDV = NB+Vblksiz;
}
#ifdef __cplusplus
} // extern "C"
#endif
|
