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
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
|
#include <iostream>
#include <cmath>
#include "lp_common.h"
#include "stl-hashmap.h"
#include "cpu_time.h"
// Constraint 5
// only one blocking request each time a job of T_i
// issues a request, with regard to each cluster and each task.
static void add_fifo_cluster_constraints(
VarMapper& vars,
const ResourceSharingInfo& info,
const ResourceLocality& locality,
const TaskInfo& ti,
LinearProgram& lp)
{
hashmap<unsigned int, unsigned int> per_cluster_counts;
foreach(ti.get_requests(), req)
per_cluster_counts[locality[req->get_resource_id()]] += req->get_num_requests();
foreach_task_except(info.get_tasks(), ti, tx)
{
unsigned int t = tx->get_id();
// one constraint for each cluster accessed by tx
hashmap<unsigned int, LinearExpression *> constraints;
foreach(tx->get_requests(), request)
{
unsigned int q = request->get_resource_id();
unsigned int c = locality[q];
LinearExpression *exp;
if (constraints.find(c) == constraints.end())
constraints[c] = new LinearExpression();
exp = constraints[c];
foreach_request_instance(*request, ti, v)
{
unsigned int var_id;
var_id = vars.lookup(t, q, v, BLOCKING_DIRECT);
exp->add_var(var_id);
var_id = vars.lookup(t, q, v, BLOCKING_INDIRECT);
exp->add_var(var_id);
}
}
// add each per-cluster constraint
foreach(constraints, it)
lp.add_inequality(it->second, per_cluster_counts[it->first]);
}
}
// Constraint 4
// only one *directly* blocking request each time a job of T_i
// issues a request, with regard to each resource and each task.
static void add_fifo_resource_constraints(
VarMapper& vars,
const ResourceSharingInfo& info,
const ResourceLocality& locality,
const TaskInfo& ti,
LinearProgram& lp)
{
hashmap<unsigned int, unsigned int> per_resource_counts;
foreach(ti.get_requests(), req)
per_resource_counts[req->get_resource_id()] = req->get_num_requests();
foreach_task_except(info.get_tasks(), ti, tx)
{
unsigned int t = tx->get_id();
//for all requests accessed by tx
foreach(tx->get_requests(), request)
{
unsigned int q = request->get_resource_id();
LinearExpression *exp = new LinearExpression();
foreach_request_instance(*request, ti, v)
{
unsigned int var_id;
var_id = vars.lookup(t, q, v, BLOCKING_DIRECT);
exp->add_var(var_id);
}
lp.add_inequality(exp, per_resource_counts[q]);
}
}
}
void add_dflp_constraints(
VarMapper& vars,
const ResourceSharingInfo& info,
const ResourceLocality& locality,
const TaskInfo& ti,
LinearProgram& lp)
{
// Constraint 1
add_mutex_constraints(vars, info, ti, lp);
// Constraint 2
add_topology_constraints(vars, info, locality, ti, lp);
// Constraint 3
add_local_lower_priority_constraints(vars, info, locality, ti, lp);
// Constraint 4
add_fifo_resource_constraints(vars, info, locality, ti, lp);
// Constraint 5
add_fifo_cluster_constraints(vars, info, locality, ti, lp);
}
#ifdef CONFIG_MERGED_LINPROGS
static BlockingBounds* _lp_dflp_bounds(const ResourceSharingInfo& info,
const ResourceLocality& locality)
{
BlockingBounds *results = new BlockingBounds(info);
const unsigned int num_tasks = info.get_tasks().size();
LinearExpression *local_obj = new LinearExpression[num_tasks];
LinearExpression *remote_obj = new LinearExpression[num_tasks];
LinearProgram lp;
unsigned int var_idx = 0;
#if DEBUG_LP_OVERHEADS >= 2
static DEFINE_CPU_CLOCK(model_gen_cost);
static DEFINE_CPU_CLOCK(solver_cost);
static DEFINE_CPU_CLOCK(extract_cost);
static DEFINE_CPU_CLOCK(total_cost);
std::cout << "---- " << __FUNCTION__ << " ----" << std::endl;
model_gen_cost.start();
total_cost.start();
#endif
// Generate a "merged" LP.
for (unsigned int i = 0; i < num_tasks; i++)
{
const TaskInfo &ti = info.get_tasks()[i];
VarMapper vars = VarMapper(var_idx);
set_blocking_objective(vars, info, locality, ti, lp,
local_obj + i, remote_obj + i);
add_dflp_constraints(vars, info, locality, ti, lp);
var_idx = vars.get_next_var();
}
#if DEBUG_LP_OVERHEADS >= 2
model_gen_cost.stop();
solver_cost.start();
#endif
// Solve the big, combined LP.
Solution *sol = linprog_solve(lp, var_idx);
assert(sol != NULL);
#if DEBUG_LP_OVERHEADS >= 2
solver_cost.stop();
extract_cost.start();
#endif
// Extract each task's solution.
for (unsigned int i = 0; i < num_tasks; i++)
{
Interference total, remote, local;
local.total_length = lrint(sol->evaluate(local_obj[i]));
remote.total_length = lrint(sol->evaluate(remote_obj[i]));
total.total_length = local.total_length + remote.total_length;
(*results)[i] = total;
results->set_remote_blocking(i, remote);
results->set_local_blocking(i, local);
}
#if DEBUG_LP_OVERHEADS >= 2
extract_cost.stop();
total_cost.stop();
std::cout << model_gen_cost << std::endl;
std::cout << solver_cost << std::endl;
std::cout << extract_cost << std::endl;
std::cout << total_cost << std::endl;
#endif
delete sol;
delete[] local_obj;
delete[] remote_obj;
return results;
}
#else // per-task LPs
static void apply_dflp_bounds_for_task(
unsigned int i,
BlockingBounds& bounds,
const ResourceSharingInfo& info,
const ResourceLocality& locality)
{
LinearProgram lp;
VarMapper vars;
const TaskInfo& ti = info.get_tasks()[i];
LinearExpression *local_obj = new LinearExpression();
#if DEBUG_LP_OVERHEADS >= 2
static DEFINE_CPU_CLOCK(model_gen_cost);
static DEFINE_CPU_CLOCK(solver_cost);
std::cout << "---- " << __FUNCTION__ << " ----" << std::endl;
model_gen_cost.start();
#endif
set_blocking_objective(vars, info, locality, ti, lp, local_obj);
add_dflp_constraints(vars, info, locality, ti, lp);
#if DEBUG_LP_OVERHEADS >=2
model_gen_cost.stop();
std::cout << model_gen_cost << std::endl;
solver_cost.start();
#endif
Solution *sol = linprog_solve(lp, vars.get_num_vars());
#if DEBUG_LP_OVERHEADS >=2
solver_cost.stop();
std::cout << solver_cost << std::endl;
#endif
assert(sol != NULL);
Interference total, remote, local;
total.total_length = sol->evaluate(*lp.get_objective());
local.total_length = sol->evaluate(*local_obj);
remote.total_length = total.total_length - local.total_length;
bounds[i] = total;
bounds.set_remote_blocking(i, remote);
bounds.set_local_blocking(i, local);
delete local_obj;
delete sol;
}
static BlockingBounds* _lp_dflp_bounds(const ResourceSharingInfo& info,
const ResourceLocality& locality)
{
BlockingBounds *results = new BlockingBounds(info);
for (unsigned int i = 0; i < info.get_tasks().size(); i++)
apply_dflp_bounds_for_task(i, *results, info, locality);
return results;
}
#endif
BlockingBounds* lp_dflp_bounds(const ResourceSharingInfo& info,
const ResourceLocality& locality)
{
#if DEBUG_LP_OVERHEADS >= 1
static DEFINE_CPU_CLOCK(cpu_costs);
cpu_costs.start();
#endif
BlockingBounds *results = _lp_dflp_bounds(info, locality);
#if DEBUG_LP_OVERHEADS >=1
cpu_costs.stop();
std::cout << cpu_costs << std::endl;
#endif
return results;
}
|