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
|
//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation. All Rights Reserved.
//
//-----------------------------------------------------------------------------
using System.Diagnostics.Contracts;
using System.Collections.Generic;
using Bpl = Microsoft.Boogie;
namespace Microsoft.Boogie {
public class LoopUnroll {
public static List<Block/*!*/>/*!*/ UnrollLoops(Block start, int unrollMaxDepth) {
Contract.Requires(start != null);
Contract.Requires(0 <= unrollMaxDepth);
Contract.Ensures(cce.NonNullElements(Contract.Result<List<Block>>()));
Dictionary<Block, GraphNode/*!*/> gd = new Dictionary<Block, GraphNode/*!*/>();
HashSet<Block> beingVisited = new HashSet<Block>();
GraphNode gStart = GraphNode.ComputeGraphInfo(null, start, gd, beingVisited);
// Compute SCCs
StronglyConnectedComponents<GraphNode/*!*/> sccs =
new StronglyConnectedComponents<GraphNode/*!*/>(gd.Values, Preds, Succs);
Contract.Assert(sccs != null);
sccs.Compute();
Dictionary<GraphNode/*!*/, SCC<GraphNode/*!*/>> containingSCC = new Dictionary<GraphNode/*!*/, SCC<GraphNode/*!*/>>();
foreach (SCC<GraphNode/*!*/> scc in sccs) {
foreach (GraphNode/*!*/ n in scc) {
Contract.Assert(n != null);
containingSCC[n] = scc;
}
}
LoopUnroll lu = new LoopUnroll(unrollMaxDepth, containingSCC, new List<Block/*!*/>());
lu.Visit(gStart);
lu.newBlockSeqGlobal.Reverse();
return lu.newBlockSeqGlobal;
}
private static System.Collections.IEnumerable/*<GraphNode/*!>/*!*/ Succs(GraphNode n) {
Contract.Requires(n != null);
Contract.Ensures(Contract.Result<System.Collections.IEnumerable>() != null);
List<GraphNode/*!*/>/*!*/ AllEdges = new List<GraphNode/*!*/>();
AllEdges.AddRange(n.ForwardEdges);
AllEdges.AddRange(n.BackEdges);
return AllEdges;
}
private static System.Collections.IEnumerable/*<GraphNode!>*//*!*/ Preds(GraphNode n) {
Contract.Requires(n != null);
Contract.Ensures(Contract.Result<System.Collections.IEnumerable>() != null);
return n.Predecessors;
}
class GraphNode {
public readonly Block/*!*/ Block;
public readonly CmdSeq/*!*/ Body;
[ContractInvariantMethod]
void ObjectInvariant() {
Contract.Invariant(Block != null);
Contract.Invariant(Body != null);
Contract.Invariant(cce.NonNullElements(ForwardEdges));
Contract.Invariant(cce.NonNullElements(BackEdges));
Contract.Invariant(cce.NonNullElements(Predecessors));
Contract.Invariant(isCutPoint == (BackEdges.Count != 0));
}
bool isCutPoint; // is set during ComputeGraphInfo
public bool IsCutPoint {
get {
return isCutPoint;
}
}
[Rep]
public readonly List<GraphNode/*!*/>/*!*/ ForwardEdges = new List<GraphNode/*!*/>();
[Rep]
public readonly List<GraphNode/*!*/>/*!*/ BackEdges = new List<GraphNode/*!*/>();
[Rep]
public readonly List<GraphNode/*!*/>/*!*/ Predecessors = new List<GraphNode/*!*/>();
GraphNode(Block b, CmdSeq body) {
Contract.Requires(body != null);
Contract.Requires(b != null);
this.Block = b;
this.Body = body;
}
static CmdSeq GetOptimizedBody(CmdSeq cmds) {
Contract.Requires(cmds != null);
Contract.Ensures(Contract.Result<CmdSeq>() != null);
int n = 0;
foreach (Cmd c in cmds) {
n++;
PredicateCmd pc = c as PredicateCmd;
if (pc != null && pc.Expr is LiteralExpr && ((LiteralExpr)pc.Expr).IsFalse) {
// return a sequence consisting of the commands seen so far
Cmd[] s = new Cmd[n];
for (int i = 0; i < n; i++) {
s[i] = cmds[i];
}
return new CmdSeq(s);
}
}
return cmds;
}
public static GraphNode ComputeGraphInfo(GraphNode from, Block b, Dictionary<Block/*!*/, GraphNode/*!*/>/*!*/ gd, HashSet<Block> beingVisited) {
Contract.Requires(beingVisited != null);
Contract.Requires(b != null);
Contract.Requires(cce.NonNullElements(gd));
Contract.Ensures(Contract.Result<GraphNode>() != null);
GraphNode g;
if (gd.TryGetValue(b, out g)) {
Contract.Assume(from != null);
Contract.Assert(g != null);
if (beingVisited.Contains(b)) {
// it's a cut point
g.isCutPoint = true;
from.BackEdges.Add(g);
g.Predecessors.Add(from);
} else {
from.ForwardEdges.Add(g);
g.Predecessors.Add(from);
}
} else {
CmdSeq body = GetOptimizedBody(b.Cmds);
g = new GraphNode(b, body);
gd.Add(b, g);
if (from != null) {
from.ForwardEdges.Add(g);
g.Predecessors.Add(from);
}
if (body != b.Cmds) {
// the body was optimized -- there is no way through this block
} else {
beingVisited.Add(b);
GotoCmd gcmd = b.TransferCmd as GotoCmd;
if (gcmd != null) {
Contract.Assume(gcmd.labelTargets != null);
foreach (Block/*!*/ succ in gcmd.labelTargets) {
Contract.Assert(succ != null);
ComputeGraphInfo(g, succ, gd, beingVisited);
}
}
beingVisited.Remove(b);
}
}
return g;
}
}
readonly List<Block/*!*/>/*!*/ newBlockSeqGlobal;
readonly Dictionary<GraphNode/*!*/, SCC<GraphNode/*!*/>>/*!*/ containingSCC;
readonly int c;
readonly LoopUnroll next;
readonly LoopUnroll/*!*/ head;
Dictionary<Block, Block/*!*/>/*!*/ newBlocks = new Dictionary<Block, Block/*!*/>();
[ContractInvariantMethod]
void ObjectInvariant() {
Contract.Invariant(head != null);
Contract.Invariant(cce.NonNullElements(newBlockSeqGlobal));
Contract.Invariant(newBlocks != null && cce.NonNullElements(newBlocks.Values));
}
[NotDelayed]
private LoopUnroll(int unrollMaxDepth, Dictionary<GraphNode/*!*/, SCC<GraphNode/*!*/>>/*!*/ scc, List<Block/*!*/>/*!*/ newBlockSeqGlobal)
: base() {//BASEMOVE DANGER
Contract.Requires(cce.NonNullElements(newBlockSeqGlobal));
Contract.Requires(cce.NonNullElements(scc) && Contract.ForAll(scc.Values, v => cce.NonNullElements(v)));
Contract.Requires(0 <= unrollMaxDepth);
this.newBlockSeqGlobal = newBlockSeqGlobal;
this.c = unrollMaxDepth;
this.containingSCC = scc;
//:base();
this.head = this;
if (unrollMaxDepth != 0) {
next = new LoopUnroll(unrollMaxDepth - 1, scc, newBlockSeqGlobal, this);
}
}
private LoopUnroll(int unrollMaxDepth, Dictionary<GraphNode/*!*/, SCC<GraphNode/*!*/>> scc, List<Block/*!*/>/*!*/ newBlockSeqGlobal, LoopUnroll head) {
Contract.Requires(head != null);
Contract.Requires(cce.NonNullElements(scc));
Contract.Requires(cce.NonNullElements(newBlockSeqGlobal));
Contract.Requires(0 <= unrollMaxDepth);
this.newBlockSeqGlobal = newBlockSeqGlobal;
this.c = unrollMaxDepth;
this.containingSCC = scc;
this.head = head;
if (unrollMaxDepth != 0) {
next = new LoopUnroll(unrollMaxDepth - 1, scc, newBlockSeqGlobal, head);
}
}
Block Visit(GraphNode node) {
Contract.Requires(node != null);
Contract.Ensures(Contract.Result<Block>() != null);
Block orig = node.Block;
Block nw;
if (newBlocks.TryGetValue(orig, out nw)) {
Contract.Assert(nw != null);
} else {
CmdSeq body;
TransferCmd tcmd;
Contract.Assert(orig.TransferCmd != null);
if (next == null && node.IsCutPoint) {
// as the body, use the assert/assume commands that make up the loop invariant
body = new CmdSeq();
foreach (Cmd/*!*/ c in node.Body) {
Contract.Assert(c != null);
if (c is PredicateCmd || c is CommentCmd) {
body.Add(c);
} else {
break;
}
}
body.Add(new AssumeCmd(orig.tok, Bpl.Expr.False));
tcmd = new ReturnCmd(orig.TransferCmd.tok);
} else {
body = node.Body;
BlockSeq newSuccs = new BlockSeq();
foreach (GraphNode succ in node.ForwardEdges) {
Block s;
if (containingSCC[node] == containingSCC[succ]) {
s = Visit(succ);
} else {
Contract.Assert(head != null); // follows from object invariant
s = head.Visit(succ);
}
newSuccs.Add(s);
}
Contract.Assert(next != null || node.BackEdges.Count == 0); // follows from if-else test above and the GraphNode invariant
foreach (GraphNode succ in node.BackEdges) {
Contract.Assert(next != null); // since if we get here, node.BackEdges.Count != 0
Block s = next.Visit(succ);
newSuccs.Add(s);
}
if (newSuccs.Length == 0) {
tcmd = new ReturnCmd(orig.TransferCmd.tok);
} else {
tcmd = new GotoCmd(orig.TransferCmd.tok, newSuccs);
}
}
nw = new Block(orig.tok, orig.Label + "#" + this.c, body, tcmd);
newBlocks.Add(orig, nw);
newBlockSeqGlobal.Add(nw);
}
return nw;
}
}
}
|