1 |
|
/****************************************************************************** |
2 |
|
* Top contributors (to current version): |
3 |
|
* Morgan Deters, Clark Barrett, Mathias Preiner |
4 |
|
* |
5 |
|
* This file is part of the cvc5 project. |
6 |
|
* |
7 |
|
* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
8 |
|
* in the top-level source directory and their institutional affiliations. |
9 |
|
* All rights reserved. See the file COPYING in the top-level source |
10 |
|
* directory for licensing information. |
11 |
|
* **************************************************************************** |
12 |
|
* |
13 |
|
* Typing and cardinality rules for the theory of arrays. |
14 |
|
*/ |
15 |
|
|
16 |
|
#include "theory/arrays/theory_arrays_type_rules.h" |
17 |
|
|
18 |
|
// for array-constant attributes |
19 |
|
#include "expr/array_store_all.h" |
20 |
|
#include "theory/arrays/theory_arrays_rewriter.h" |
21 |
|
#include "theory/type_enumerator.h" |
22 |
|
#include "util/cardinality.h" |
23 |
|
|
24 |
|
namespace cvc5 { |
25 |
|
namespace theory { |
26 |
|
namespace arrays { |
27 |
|
|
28 |
12024 |
TypeNode ArraySelectTypeRule::computeType(NodeManager* nodeManager, |
29 |
|
TNode n, |
30 |
|
bool check) |
31 |
|
{ |
32 |
12024 |
Assert(n.getKind() == kind::SELECT); |
33 |
24048 |
TypeNode arrayType = n[0].getType(check); |
34 |
12024 |
if (check) |
35 |
|
{ |
36 |
12024 |
if (!arrayType.isArray()) |
37 |
|
{ |
38 |
|
throw TypeCheckingExceptionPrivate(n, |
39 |
|
"array select operating on non-array"); |
40 |
|
} |
41 |
24048 |
TypeNode indexType = n[1].getType(check); |
42 |
12024 |
if (!indexType.isSubtypeOf(arrayType.getArrayIndexType())) |
43 |
|
{ |
44 |
|
throw TypeCheckingExceptionPrivate( |
45 |
|
n, "array select not indexed with correct type for array"); |
46 |
|
} |
47 |
|
} |
48 |
24048 |
return arrayType.getArrayConstituentType(); |
49 |
|
} |
50 |
|
|
51 |
10092 |
TypeNode ArrayStoreTypeRule::computeType(NodeManager* nodeManager, |
52 |
|
TNode n, |
53 |
|
bool check) |
54 |
|
{ |
55 |
10092 |
if (n.getKind() == kind::STORE) |
56 |
|
{ |
57 |
19032 |
TypeNode arrayType = n[0].getType(check); |
58 |
9516 |
if (check) |
59 |
|
{ |
60 |
9516 |
if (!arrayType.isArray()) |
61 |
|
{ |
62 |
|
throw TypeCheckingExceptionPrivate( |
63 |
|
n, "array store operating on non-array"); |
64 |
|
} |
65 |
19032 |
TypeNode indexType = n[1].getType(check); |
66 |
19032 |
TypeNode valueType = n[2].getType(check); |
67 |
9516 |
if (!indexType.isSubtypeOf(arrayType.getArrayIndexType())) |
68 |
|
{ |
69 |
|
throw TypeCheckingExceptionPrivate( |
70 |
|
n, "array store not indexed with correct type for array"); |
71 |
|
} |
72 |
9516 |
if (!valueType.isSubtypeOf(arrayType.getArrayConstituentType())) |
73 |
|
{ |
74 |
|
Debug("array-types") |
75 |
|
<< "array type: " << arrayType.getArrayConstituentType() |
76 |
|
<< std::endl; |
77 |
|
Debug("array-types") << "value types: " << valueType << std::endl; |
78 |
|
throw TypeCheckingExceptionPrivate( |
79 |
|
n, "array store not assigned with correct type for array"); |
80 |
|
} |
81 |
|
} |
82 |
9516 |
return arrayType; |
83 |
|
} |
84 |
|
else |
85 |
|
{ |
86 |
576 |
Assert(n.getKind() == kind::STORE_ALL); |
87 |
1152 |
ArrayStoreAll storeAll = n.getConst<ArrayStoreAll>(); |
88 |
576 |
return storeAll.getType(); |
89 |
|
} |
90 |
|
} |
91 |
|
|
92 |
7354 |
bool ArrayStoreTypeRule::computeIsConst(NodeManager* nodeManager, TNode n) |
93 |
|
{ |
94 |
7354 |
Assert(n.getKind() == kind::STORE); |
95 |
|
|
96 |
14708 |
TNode store = n[0]; |
97 |
14708 |
TNode index = n[1]; |
98 |
14708 |
TNode value = n[2]; |
99 |
|
|
100 |
|
// A constant must have only constant children and be in normal form |
101 |
|
// If any child is non-const, this is not a constant |
102 |
7354 |
if (!store.isConst() || !index.isConst() || !value.isConst()) |
103 |
|
{ |
104 |
3956 |
return false; |
105 |
|
} |
106 |
|
|
107 |
|
// Normal form for nested stores is just ordering by index but also need to |
108 |
|
// check that we are not writing to default value |
109 |
3398 |
if (store.getKind() == kind::STORE && (!(store[1] < index))) |
110 |
|
{ |
111 |
15 |
return false; |
112 |
|
} |
113 |
|
|
114 |
3383 |
unsigned depth = 1; |
115 |
3383 |
unsigned valCount = 1; |
116 |
7215 |
while (store.getKind() == kind::STORE) |
117 |
|
{ |
118 |
1916 |
depth += 1; |
119 |
1916 |
if (store[2] == value) |
120 |
|
{ |
121 |
239 |
valCount += 1; |
122 |
|
} |
123 |
1916 |
store = store[0]; |
124 |
|
} |
125 |
3383 |
Assert(store.getKind() == kind::STORE_ALL); |
126 |
6766 |
ArrayStoreAll storeAll = store.getConst<ArrayStoreAll>(); |
127 |
6766 |
Node defaultValue = storeAll.getValue(); |
128 |
3383 |
if (value == defaultValue) |
129 |
|
{ |
130 |
15 |
return false; |
131 |
|
} |
132 |
|
|
133 |
|
// Get the cardinality of the index type |
134 |
6736 |
Cardinality indexCard = index.getType().getCardinality(); |
135 |
|
|
136 |
3368 |
if (indexCard.isInfinite()) |
137 |
|
{ |
138 |
2803 |
return true; |
139 |
|
} |
140 |
|
|
141 |
|
// When index sort is finite, we have to check whether there is any value |
142 |
|
// that is written to more than the default value. If so, it is not in |
143 |
|
// normal form. |
144 |
|
|
145 |
|
// Get the most frequently written value for n[0] |
146 |
1130 |
TNode mostFrequentValue; |
147 |
565 |
unsigned mostFrequentValueCount = 0; |
148 |
565 |
store = n[0]; |
149 |
565 |
if (store.getKind() == kind::STORE) |
150 |
|
{ |
151 |
293 |
mostFrequentValue = getMostFrequentValue(store); |
152 |
293 |
mostFrequentValueCount = getMostFrequentValueCount(store); |
153 |
|
} |
154 |
|
|
155 |
|
// Compute the most frequently written value for n |
156 |
565 |
if (valCount > mostFrequentValueCount |
157 |
565 |
|| (valCount == mostFrequentValueCount && value < mostFrequentValue)) |
158 |
|
{ |
159 |
389 |
mostFrequentValue = value; |
160 |
389 |
mostFrequentValueCount = valCount; |
161 |
|
} |
162 |
|
|
163 |
|
// Need to make sure the default value count is larger, or the same and the |
164 |
|
// default value is expression-order-less-than nextValue |
165 |
|
Cardinality::CardinalityComparison compare = |
166 |
565 |
indexCard.compare(mostFrequentValueCount + depth); |
167 |
565 |
Assert(compare != Cardinality::UNKNOWN); |
168 |
565 |
if (compare == Cardinality::LESS |
169 |
569 |
|| (compare == Cardinality::EQUAL |
170 |
144 |
&& (!(defaultValue < mostFrequentValue)))) |
171 |
|
{ |
172 |
4 |
return false; |
173 |
|
} |
174 |
561 |
setMostFrequentValue(n, mostFrequentValue); |
175 |
561 |
setMostFrequentValueCount(n, mostFrequentValueCount); |
176 |
561 |
return true; |
177 |
|
} |
178 |
|
|
179 |
|
TypeNode ArrayTableFunTypeRule::computeType(NodeManager* nodeManager, |
180 |
|
TNode n, |
181 |
|
bool check) |
182 |
|
{ |
183 |
|
Assert(n.getKind() == kind::ARR_TABLE_FUN); |
184 |
|
TypeNode arrayType = n[0].getType(check); |
185 |
|
if (check) |
186 |
|
{ |
187 |
|
if (!arrayType.isArray()) |
188 |
|
{ |
189 |
|
throw TypeCheckingExceptionPrivate(n, |
190 |
|
"array table fun arg 0 is non-array"); |
191 |
|
} |
192 |
|
TypeNode arrType2 = n[1].getType(check); |
193 |
|
if (!arrayType.isArray()) |
194 |
|
{ |
195 |
|
throw TypeCheckingExceptionPrivate(n, |
196 |
|
"array table fun arg 1 is non-array"); |
197 |
|
} |
198 |
|
TypeNode indexType = n[2].getType(check); |
199 |
|
if (!indexType.isComparableTo(arrayType.getArrayIndexType())) |
200 |
|
{ |
201 |
|
throw TypeCheckingExceptionPrivate( |
202 |
|
n, "array table fun arg 2 does not match type of array"); |
203 |
|
} |
204 |
|
indexType = n[3].getType(check); |
205 |
|
if (!indexType.isComparableTo(arrayType.getArrayIndexType())) |
206 |
|
{ |
207 |
|
throw TypeCheckingExceptionPrivate( |
208 |
|
n, "array table fun arg 3 does not match type of array"); |
209 |
|
} |
210 |
|
} |
211 |
|
return arrayType.getArrayIndexType(); |
212 |
|
} |
213 |
|
|
214 |
|
TypeNode ArrayLambdaTypeRule::computeType(NodeManager* nodeManager, |
215 |
|
TNode n, |
216 |
|
bool check) |
217 |
|
{ |
218 |
|
Assert(n.getKind() == kind::ARRAY_LAMBDA); |
219 |
|
TypeNode lamType = n[0].getType(check); |
220 |
|
if (check) |
221 |
|
{ |
222 |
|
if (n[0].getKind() != kind::LAMBDA) |
223 |
|
{ |
224 |
|
throw TypeCheckingExceptionPrivate(n, "array lambda arg is non-lambda"); |
225 |
|
} |
226 |
|
} |
227 |
|
if (lamType.getNumChildren() != 2) |
228 |
|
{ |
229 |
|
throw TypeCheckingExceptionPrivate(n, |
230 |
|
"array lambda arg is not unary lambda"); |
231 |
|
} |
232 |
|
return nodeManager->mkArrayType(lamType[0], lamType[1]); |
233 |
|
} |
234 |
|
|
235 |
240 |
Cardinality ArraysProperties::computeCardinality(TypeNode type) |
236 |
|
{ |
237 |
240 |
Assert(type.getKind() == kind::ARRAY_TYPE); |
238 |
|
|
239 |
480 |
Cardinality indexCard = type[0].getCardinality(); |
240 |
480 |
Cardinality valueCard = type[1].getCardinality(); |
241 |
|
|
242 |
480 |
return valueCard ^ indexCard; |
243 |
|
} |
244 |
|
|
245 |
|
bool ArraysProperties::isWellFounded(TypeNode type) |
246 |
|
{ |
247 |
|
return type[0].isWellFounded() && type[1].isWellFounded(); |
248 |
|
} |
249 |
|
|
250 |
15 |
Node ArraysProperties::mkGroundTerm(TypeNode type) |
251 |
|
{ |
252 |
15 |
return *TypeEnumerator(type); |
253 |
|
} |
254 |
|
|
255 |
|
TypeNode ArrayPartialSelectTypeRule::computeType(NodeManager* nodeManager, |
256 |
|
TNode n, |
257 |
|
bool check) |
258 |
|
{ |
259 |
|
Assert(n.getKind() == kind::PARTIAL_SELECT_0 |
260 |
|
|| n.getKind() == kind::PARTIAL_SELECT_1); |
261 |
|
return nodeManager->integerType(); |
262 |
|
} |
263 |
|
|
264 |
21 |
TypeNode ArrayEqRangeTypeRule::computeType(NodeManager* nodeManager, |
265 |
|
TNode n, |
266 |
|
bool check) |
267 |
|
{ |
268 |
21 |
Assert(n.getKind() == kind::EQ_RANGE); |
269 |
21 |
if (check) |
270 |
|
{ |
271 |
42 |
TypeNode n0_type = n[0].getType(check); |
272 |
42 |
TypeNode n1_type = n[1].getType(check); |
273 |
21 |
if (!n0_type.isArray()) |
274 |
|
{ |
275 |
|
throw TypeCheckingExceptionPrivate( |
276 |
|
n, "first operand of eqrange is not an array"); |
277 |
|
} |
278 |
21 |
if (!n1_type.isArray()) |
279 |
|
{ |
280 |
|
throw TypeCheckingExceptionPrivate( |
281 |
|
n, "second operand of eqrange is not an array"); |
282 |
|
} |
283 |
21 |
if (n0_type != n1_type) |
284 |
|
{ |
285 |
|
throw TypeCheckingExceptionPrivate(n, "array types do not match"); |
286 |
|
} |
287 |
42 |
TypeNode indexType = n0_type.getArrayIndexType(); |
288 |
42 |
TypeNode indexRangeType1 = n[2].getType(check); |
289 |
42 |
TypeNode indexRangeType2 = n[3].getType(check); |
290 |
21 |
if (!indexRangeType1.isSubtypeOf(indexType)) |
291 |
|
{ |
292 |
|
throw TypeCheckingExceptionPrivate( |
293 |
|
n, "eqrange lower index type does not match array index type"); |
294 |
|
} |
295 |
21 |
if (!indexRangeType2.isSubtypeOf(indexType)) |
296 |
|
{ |
297 |
|
throw TypeCheckingExceptionPrivate( |
298 |
|
n, "eqrange upper index type does not match array index type"); |
299 |
|
} |
300 |
50 |
if (!indexType.isBitVector() && !indexType.isFloatingPoint() |
301 |
29 |
&& !indexType.isInteger() && !indexType.isReal()) |
302 |
|
{ |
303 |
|
throw TypeCheckingExceptionPrivate( |
304 |
|
n, |
305 |
|
"eqrange only supports bit-vectors, floating-points, integers, and " |
306 |
|
"reals as index type"); |
307 |
|
} |
308 |
|
} |
309 |
21 |
return nodeManager->booleanType(); |
310 |
|
} |
311 |
|
|
312 |
|
} // namespace arrays |
313 |
|
} // namespace theory |
314 |
22746 |
} // namespace cvc5 |