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
|
/* Heuristics and transform for loop blocking and strip mining on
polyhedral representation.
Copyright (C) 2009, 2010, 2011, 2012 Free Software Foundation, Inc.
Contributed by Sebastian Pop <sebastian.pop@amd.com> and
Pranav Garg <pranav.garg2107@gmail.com>.
This file is part of GCC.
GCC 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, or (at your option)
any later version.
GCC 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 GCC; see the file COPYING3. If not see
<http://www.gnu.org/licenses/>. */
#include "config.h"
#ifdef HAVE_cloog
#include <isl/set.h>
#include <isl/map.h>
#include <isl/union_map.h>
#include <isl/constraint.h>
#include <cloog/cloog.h>
#include <cloog/isl/domain.h>
#endif
#include "system.h"
#include "coretypes.h"
#include "tree-flow.h"
#include "dumpfile.h"
#include "cfgloop.h"
#include "tree-chrec.h"
#include "tree-data-ref.h"
#include "sese.h"
#ifdef HAVE_cloog
#include "graphite-poly.h"
/* Strip mines with a factor STRIDE the scattering (time) dimension
around PBB at depth TIME_DEPTH.
The following example comes from the wiki page:
http://gcc.gnu.org/wiki/Graphite/Strip_mine
The strip mine of a loop with a tile of 64 can be obtained with a
scattering function as follows:
$ cat ./albert_strip_mine.cloog
# language: C
c
# parameter {n | n >= 0}
1 3
# n 1
1 1 0
1
n
1 # Number of statements:
1
# {i | 0 <= i <= n}
2 4
# i n 1
1 1 0 0
1 -1 1 0
0 0 0
1
i
1 # Scattering functions
3 6
# NEW OLD i n 1
1 -64 0 1 0 0
1 64 0 -1 0 63
0 0 1 -1 0 0
1
NEW OLD
#the output of CLooG is like this:
#$ cloog ./albert_strip_mine.cloog
# for (NEW=0;NEW<=floord(n,64);NEW++) {
# for (OLD=max(64*NEW,0);OLD<=min(64*NEW+63,n);OLD++) {
# S1(i = OLD) ;
# }
# }
*/
static void
pbb_strip_mine_time_depth (poly_bb_p pbb, int time_depth, int stride)
{
isl_space *d;
isl_constraint *c;
int iter, strip;
/* STRIP is the dimension that iterates with stride STRIDE. */
/* ITER is the dimension that enumerates single iterations inside
one strip that has at most STRIDE iterations. */
strip = time_depth;
iter = strip + 2;
pbb->transformed = isl_map_insert_dims (pbb->transformed, isl_dim_out,
strip, 2);
/* Lower bound of the striped loop. */
d = isl_map_get_space (pbb->transformed);
c = isl_inequality_alloc (isl_local_space_from_space (d));
c = isl_constraint_set_coefficient_si (c, isl_dim_out, strip, -stride);
c = isl_constraint_set_coefficient_si (c, isl_dim_out, iter, 1);
pbb->transformed = isl_map_add_constraint (pbb->transformed, c);
/* Upper bound of the striped loop. */
d = isl_map_get_space (pbb->transformed);
c = isl_inequality_alloc (isl_local_space_from_space (d));
c = isl_constraint_set_coefficient_si (c, isl_dim_out, strip, stride);
c = isl_constraint_set_coefficient_si (c, isl_dim_out, iter, -1);
c = isl_constraint_set_constant_si (c, stride - 1);
pbb->transformed = isl_map_add_constraint (pbb->transformed, c);
/* Static scheduling for ITER level.
This is mandatory to keep the 2d + 1 canonical scheduling format. */
d = isl_map_get_space (pbb->transformed);
c = isl_equality_alloc (isl_local_space_from_space (d));
c = isl_constraint_set_coefficient_si (c, isl_dim_out, strip + 1, 1);
pbb->transformed = isl_map_add_constraint (pbb->transformed, c);
}
/* Returns true when strip mining with STRIDE of the loop LST is
profitable. */
static bool
lst_strip_mine_profitable_p (lst_p lst, int stride)
{
mpz_t niter, strip_stride;
bool res;
gcc_assert (LST_LOOP_P (lst));
mpz_init (strip_stride);
mpz_init (niter);
mpz_set_si (strip_stride, stride);
lst_niter_for_loop (lst, niter);
res = (mpz_cmp (niter, strip_stride) > 0);
mpz_clear (strip_stride);
mpz_clear (niter);
return res;
}
/* Strip-mines all the loops of LST with STRIDE. Return the number of
loops strip-mined. */
static int
lst_do_strip_mine_loop (lst_p lst, int depth, int stride)
{
int i;
lst_p l;
poly_bb_p pbb;
if (!lst)
return 0;
if (LST_LOOP_P (lst))
{
int res = 0;
FOR_EACH_VEC_ELT (LST_SEQ (lst), i, l)
res += lst_do_strip_mine_loop (l, depth, stride);
return res;
}
pbb = LST_PBB (lst);
pbb_strip_mine_time_depth (pbb, psct_dynamic_dim (pbb, depth), stride);
return 1;
}
/* Strip-mines all the loops of LST with STRIDE. When STRIDE is zero,
read the stride from the PARAM_LOOP_BLOCK_TILE_SIZE. Return the
number of strip-mined loops.
Strip mining transforms a loop
| for (i = 0; i < N; i++)
| S (i);
into the following loop nest:
| for (k = 0; k < N; k += STRIDE)
| for (j = 0; j < STRIDE; j++)
| S (i = k + j);
*/
static int
lst_do_strip_mine (lst_p lst, int stride)
{
int i;
lst_p l;
int res = 0;
int depth;
if (!stride)
stride = PARAM_VALUE (PARAM_LOOP_BLOCK_TILE_SIZE);
if (!lst
|| !LST_LOOP_P (lst))
return false;
FOR_EACH_VEC_ELT (LST_SEQ (lst), i, l)
res += lst_do_strip_mine (l, stride);
depth = lst_depth (lst);
if (depth >= 0
&& lst_strip_mine_profitable_p (lst, stride))
{
res += lst_do_strip_mine_loop (lst, lst_depth (lst), stride);
lst_add_loop_under_loop (lst);
}
return res;
}
/* Strip mines all the loops in SCOP. Returns the number of
strip-mined loops. */
int
scop_do_strip_mine (scop_p scop, int stride)
{
return lst_do_strip_mine (SCOP_TRANSFORMED_SCHEDULE (scop), stride);
}
/* Loop blocks all the loops in SCOP. Returns true when we manage to
block some loops. */
bool
scop_do_block (scop_p scop)
{
store_scattering (scop);
/* If we don't strip mine at least two loops, or not interchange
loops, the strip mine alone will not be profitable, and the
transform is not a loop blocking: so revert the transform. */
if (lst_do_strip_mine (SCOP_TRANSFORMED_SCHEDULE (scop), 0) < 2
|| scop_do_interchange (scop) == 0)
{
restore_scattering (scop);
return false;
}
if (dump_file && (dump_flags & TDF_DETAILS))
fprintf (dump_file, "SCoP will be loop blocked.\n");
return true;
}
#endif
|