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
|
//===- ConstantRangeList.cpp - ConstantRangeList implementation -----------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#include "llvm/IR/ConstantRangeList.h"
#include <cstddef>
using namespace llvm;
bool ConstantRangeList::isOrderedRanges(ArrayRef<ConstantRange> RangesRef) {
if (RangesRef.empty())
return true;
auto Range = RangesRef[0];
if (Range.getLower().sge(Range.getUpper()))
return false;
for (unsigned i = 1; i < RangesRef.size(); i++) {
auto CurRange = RangesRef[i];
auto PreRange = RangesRef[i - 1];
if (CurRange.getLower().sge(CurRange.getUpper()) ||
CurRange.getLower().sle(PreRange.getUpper()))
return false;
}
return true;
}
std::optional<ConstantRangeList>
ConstantRangeList::getConstantRangeList(ArrayRef<ConstantRange> RangesRef) {
if (!isOrderedRanges(RangesRef))
return std::nullopt;
return ConstantRangeList(RangesRef);
}
void ConstantRangeList::insert(const ConstantRange &NewRange) {
if (NewRange.isEmptySet())
return;
assert(!NewRange.isFullSet() && "Do not support full set");
assert(NewRange.getLower().slt(NewRange.getUpper()));
// Handle common cases.
if (empty() || Ranges.back().getUpper().slt(NewRange.getLower())) {
Ranges.push_back(NewRange);
return;
}
assert(getBitWidth() == NewRange.getBitWidth());
if (NewRange.getUpper().slt(Ranges.front().getLower())) {
Ranges.insert(Ranges.begin(), NewRange);
return;
}
auto LowerBound = lower_bound(
Ranges, NewRange, [](const ConstantRange &a, const ConstantRange &b) {
return a.getLower().slt(b.getLower());
});
if (LowerBound != Ranges.end() && LowerBound->contains(NewRange))
return;
// Slow insert.
SmallVector<ConstantRange, 2> ExistingTail(LowerBound, Ranges.end());
Ranges.erase(LowerBound, Ranges.end());
// Merge consecutive ranges.
if (!Ranges.empty() && NewRange.getLower().sle(Ranges.back().getUpper())) {
APInt NewLower = Ranges.back().getLower();
APInt NewUpper =
APIntOps::smax(NewRange.getUpper(), Ranges.back().getUpper());
Ranges.back() = ConstantRange(NewLower, NewUpper);
} else {
Ranges.push_back(NewRange);
}
for (auto Iter = ExistingTail.begin(); Iter != ExistingTail.end(); Iter++) {
if (Ranges.back().getUpper().slt(Iter->getLower())) {
Ranges.push_back(*Iter);
} else {
APInt NewLower = Ranges.back().getLower();
APInt NewUpper =
APIntOps::smax(Iter->getUpper(), Ranges.back().getUpper());
Ranges.back() = ConstantRange(NewLower, NewUpper);
}
}
}
void ConstantRangeList::subtract(const ConstantRange &SubRange) {
if (SubRange.isEmptySet() || empty())
return;
assert(!SubRange.isFullSet() && "Do not support full set");
assert(SubRange.getLower().slt(SubRange.getUpper()));
assert(getBitWidth() == SubRange.getBitWidth());
// Handle common cases.
if (Ranges.back().getUpper().sle(SubRange.getLower()))
return;
if (SubRange.getUpper().sle(Ranges.front().getLower()))
return;
SmallVector<ConstantRange, 2> Result;
auto AppendRangeIfNonEmpty = [&Result](APInt Start, APInt End) {
if (Start.slt(End))
Result.push_back(ConstantRange(Start, End));
};
for (auto &Range : Ranges) {
if (SubRange.getUpper().sle(Range.getLower()) ||
Range.getUpper().sle(SubRange.getLower())) {
// "Range" and "SubRange" do not overlap.
// L---U : Range
// L---U : SubRange (Case1)
// L---U : SubRange (Case2)
Result.push_back(Range);
} else if (Range.getLower().sle(SubRange.getLower()) &&
SubRange.getUpper().sle(Range.getUpper())) {
// "Range" contains "SubRange".
// L---U : Range
// L-U : SubRange
// Note that ConstantRange::contains(ConstantRange) checks unsigned,
// but we need signed checking here.
AppendRangeIfNonEmpty(Range.getLower(), SubRange.getLower());
AppendRangeIfNonEmpty(SubRange.getUpper(), Range.getUpper());
} else if (SubRange.getLower().sle(Range.getLower()) &&
Range.getUpper().sle(SubRange.getUpper())) {
// "SubRange" contains "Range".
// L-U : Range
// L---U : SubRange
continue;
} else if (Range.getLower().sge(SubRange.getLower()) &&
Range.getLower().sle(SubRange.getUpper())) {
// "Range" and "SubRange" overlap at the left.
// L---U : Range
// L---U : SubRange
AppendRangeIfNonEmpty(SubRange.getUpper(), Range.getUpper());
} else {
// "Range" and "SubRange" overlap at the right.
// L---U : Range
// L---U : SubRange
assert(SubRange.getLower().sge(Range.getLower()) &&
SubRange.getLower().sle(Range.getUpper()));
AppendRangeIfNonEmpty(Range.getLower(), SubRange.getLower());
}
}
Ranges = Result;
}
ConstantRangeList
ConstantRangeList::unionWith(const ConstantRangeList &CRL) const {
// Handle common cases.
if (empty())
return CRL;
if (CRL.empty())
return *this;
assert(getBitWidth() == CRL.getBitWidth() &&
"ConstantRangeList bitwidths don't agree!");
ConstantRangeList Result;
size_t i = 0, j = 0;
// "PreviousRange" tracks the lowest unioned range that is being processed.
// Its lower is fixed and the upper may be updated over iterations.
ConstantRange PreviousRange(getBitWidth(), false);
if (Ranges[i].getLower().slt(CRL.Ranges[j].getLower())) {
PreviousRange = Ranges[i++];
} else {
PreviousRange = CRL.Ranges[j++];
}
// Try to union "PreviousRange" and "CR". If they are disjoint, push
// "PreviousRange" to the result and assign it to "CR", a new union range.
// Otherwise, update the upper of "PreviousRange" to cover "CR". Note that,
// the lower of "PreviousRange" is always less or equal the lower of "CR".
auto UnionAndUpdateRange = [&PreviousRange,
&Result](const ConstantRange &CR) {
if (PreviousRange.getUpper().slt(CR.getLower())) {
Result.Ranges.push_back(PreviousRange);
PreviousRange = CR;
} else {
PreviousRange = ConstantRange(
PreviousRange.getLower(),
APIntOps::smax(PreviousRange.getUpper(), CR.getUpper()));
}
};
while (i < size() || j < CRL.size()) {
if (j == CRL.size() ||
(i < size() && Ranges[i].getLower().slt(CRL.Ranges[j].getLower()))) {
// Merge PreviousRange with this.
UnionAndUpdateRange(Ranges[i++]);
} else {
// Merge PreviousRange with CRL.
UnionAndUpdateRange(CRL.Ranges[j++]);
}
}
Result.Ranges.push_back(PreviousRange);
return Result;
}
ConstantRangeList
ConstantRangeList::intersectWith(const ConstantRangeList &CRL) const {
// Handle common cases.
if (empty())
return *this;
if (CRL.empty())
return CRL;
assert(getBitWidth() == CRL.getBitWidth() &&
"ConstantRangeList bitwidths don't agree!");
ConstantRangeList Result;
size_t i = 0, j = 0;
while (i < size() && j < CRL.size()) {
auto &Range = this->Ranges[i];
auto &OtherRange = CRL.Ranges[j];
// The intersection of two Ranges is (max(lowers), min(uppers)), and it's
// possible that max(lowers) > min(uppers) if they don't have intersection.
// Add the intersection to result only if it's non-empty.
// To keep simple, we don't call ConstantRange::intersectWith() as it
// considers the complex upper wrapped case and may result two ranges,
// like (2, 8) && (6, 4) = {(2, 4), (6, 8)}.
APInt Start = APIntOps::smax(Range.getLower(), OtherRange.getLower());
APInt End = APIntOps::smin(Range.getUpper(), OtherRange.getUpper());
if (Start.slt(End))
Result.Ranges.push_back(ConstantRange(Start, End));
// Move to the next Range in one list determined by the uppers.
// For example: A = {(0, 2), (4, 8)}; B = {(-2, 5), (6, 10)}
// We need to intersect three pairs: A0 && B0; A1 && B0; A1 && B1.
if (Range.getUpper().slt(OtherRange.getUpper()))
i++;
else
j++;
}
return Result;
}
void ConstantRangeList::print(raw_ostream &OS) const {
interleaveComma(Ranges, OS, [&](ConstantRange CR) {
OS << "(" << CR.getLower() << ", " << CR.getUpper() << ")";
});
}
#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
LLVM_DUMP_METHOD void ConstantRangeList::dump() const {
print(dbgs());
dbgs() << '\n';
}
#endif
|