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Merge pull request #375 from pysmt/sorts
Handling of Sorts
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# | ||
# This file is part of pySMT. | ||
# | ||
# Copyright 2014 Andrea Micheli and Marco Gario | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
# | ||
from six import StringIO | ||
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from pysmt.shortcuts import FreshSymbol, EqualsOrIff, Select, TRUE, FALSE, Function | ||
from pysmt.shortcuts import Array, BV | ||
from pysmt.typing import INT, BOOL, REAL | ||
from pysmt.typing import Type, ArrayType, FunctionType, BVType | ||
from pysmt.typing import PartialType | ||
from pysmt.test import TestCase, main | ||
from pysmt.smtlib.parser import SmtLibParser | ||
from pysmt.exceptions import PysmtValueError, PysmtTypeError | ||
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SMTLIB_SRC="""\ | ||
(define-sort Set (T) (Array T Bool)) | ||
(define-sort I () Int) | ||
(declare-const s1 (Set I)) | ||
(declare-const a I) | ||
(declare-const b Int) | ||
(assert (= (select s1 a) true)) | ||
(assert (= (select s1 b) false)) | ||
(check-sat) | ||
""" | ||
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class TestSorts(TestCase): | ||
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def test_smtlib_sort(self): | ||
# parser = SmtLibParser() | ||
# buf = StringIO(SMTLIB_SRC) | ||
# script = parser.get_script(buf) | ||
pass | ||
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def test_basic_types(self): | ||
self.assertTrue(BOOL.is_bool_type()) | ||
self.assertFalse(BOOL.is_function_type()) | ||
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self.assertTrue(REAL.is_real_type()) | ||
self.assertFalse(REAL.is_bool_type()) | ||
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self.assertTrue(INT.is_int_type()) | ||
self.assertFalse(INT.is_real_type()) | ||
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ftype = FunctionType(REAL, [REAL, REAL]) | ||
self.assertTrue(ftype.is_function_type()) | ||
self.assertFalse(ftype.is_int_type()) | ||
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self.assertNotEqual(BOOL, INT) | ||
self.assertEqual(REAL, REAL) | ||
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AAIBR = ArrayType(ArrayType(INT, BOOL), REAL) | ||
self.assertEqual(str(AAIBR), "Array{Array{Int, Bool}, Real}") | ||
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bt1 = BVType(4) | ||
bt2 = BVType(4) | ||
self.assertEqual(bt1, bt2) | ||
self.assertEqual(bt1.width, 4) | ||
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def test_fake_arrays(self): | ||
FakeArrayType = Type("FakeArray", 2) | ||
with self.assertRaises(PysmtValueError): | ||
FreshSymbol(FakeArrayType) | ||
FakeArrayII = FakeArrayType(INT, INT) | ||
self.assertEqual(str(FakeArrayII), "FakeArray{Int, Int}") | ||
self.assertEqual(FakeArrayII.as_smtlib(False), "(FakeArray Int Int)") | ||
s = FreshSymbol(FakeArrayII) | ||
self.assertIsNotNone(s) | ||
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def test_simple_sorts(self): | ||
# (define-sort I () Int) | ||
# (define-sort Set (T) (Array T Bool)) | ||
I = INT | ||
SET = PartialType("Set", lambda t1: ArrayType(t1, BOOL)) | ||
self.assertEqual(ArrayType(INT, BOOL), SET(I)) | ||
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# (declare-const s1 (Set I)) | ||
# (declare-const a I) | ||
# (declare-const b Int) | ||
s1 = FreshSymbol(SET(I)) | ||
a = FreshSymbol(I) | ||
b = FreshSymbol(INT) | ||
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# (= (select s1 a) true) | ||
# (= (select s1 b) false) | ||
f1 = EqualsOrIff(Select(s1, a), TRUE()) | ||
f2 = EqualsOrIff(Select(s1, b), FALSE()) | ||
self.assertIsNotNone(f1) | ||
self.assertIsNotNone(f2) | ||
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# Cannot instantiate a PartialType directly: | ||
with self.assertRaises(PysmtValueError): | ||
FreshSymbol(SET) | ||
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# (declare-sort A 0) | ||
# Uninterpreted sort | ||
A = Type("A", 0) | ||
B = Type("B") | ||
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c1 = FreshSymbol(A) | ||
c2 = FreshSymbol(A) | ||
c3 = FreshSymbol(Type("A")) | ||
c4 = FreshSymbol(B) | ||
EqualsOrIff(c1, c2) | ||
EqualsOrIff(c2, c3) | ||
with self.assertRaises(PysmtTypeError): | ||
EqualsOrIff(c1, c4) | ||
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with self.assertRaises(PysmtValueError): | ||
Type("A", 1) | ||
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C = Type("C", 1) | ||
c5 = FreshSymbol(C(A)) | ||
c6 = FreshSymbol(C(B)) | ||
self.assertIsNotNone(c5) | ||
with self.assertRaises(PysmtTypeError): | ||
EqualsOrIff(c5, c6) | ||
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# Nesting | ||
ty = C(C(C(C(C(A))))) | ||
self.assertIsNotNone(FreshSymbol(ty)) | ||
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pty = PartialType("pty", lambda S,T: S(S(S(S(S(T)))))) | ||
self.assertEqual(pty(C,A), ty) | ||
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def test_normalization(self): | ||
from pysmt.environment import Environment | ||
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env2 = Environment() | ||
mgr2 = env2.formula_manager | ||
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ty = ArrayType(BOOL, REAL) | ||
x = FreshSymbol(ty) | ||
fty = FunctionType(BOOL, (ty,)) | ||
f = FreshSymbol(fty) | ||
g = Function(f, (x,)) | ||
self.assertIsNotNone(g) | ||
self.assertNotIn(g, mgr2) | ||
g2 = mgr2.normalize(g) | ||
self.assertIn(g2, mgr2) | ||
# Since the types are from two different environments, they | ||
# should be different. | ||
x2 = g2.arg(0) | ||
ty2 = x2.symbol_type() | ||
self.assertFalse(ty2 is ty, ty) | ||
fname = g2.function_name() | ||
fty2 = fname.symbol_type() | ||
self.assertFalse(fty2 is fty, fty) | ||
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# Test ArrayValue | ||
h = Array(BVType(4), BV(0, 4)) | ||
h2 = mgr2.normalize(h) | ||
self.assertEqual(h.array_value_index_type(), | ||
h2.array_value_index_type()) | ||
self.assertFalse(h.array_value_index_type() is \ | ||
h2.array_value_index_type()) | ||
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if __name__ == '__main__': | ||
main() |
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