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###############################################################################
# Top contributors (to current version):
# Alex Ozdemir, Aina Niemetz, Alex Sokolov
#
# This file is part of the cvc5 project.
#
# Copyright (c) 2009-2025 by the authors listed in the file AUTHORS
# in the top-level source directory and their institutional affiliations.
# All rights reserved. See the file COPYING in the top-level source
# directory for licensing information.
# #############################################################################
##
import pytest
import cvc5
from cvc5 import Sort, Term, Kind
@pytest.fixture
def tm():
return cvc5.TermManager()
@pytest.fixture
def solver(tm):
return cvc5.Solver(tm)
def test_basic_finite_field(tm, solver):
solver.setOption("produce-models", "true")
F = tm.mkFiniteFieldSort(5)
a = tm.mkConst(F, "a")
b = tm.mkConst(F, "b")
assert 5 == F.getFiniteFieldSize()
inv = tm.mkTerm(
Kind.EQUAL,
tm.mkTerm(Kind.FINITE_FIELD_MULT, a, b),
tm.mkFiniteFieldElem(1, F),
)
aIsTwo = tm.mkTerm(
Kind.EQUAL,
a,
tm.mkFiniteFieldElem(2, F),
)
solver.assertFormula(inv)
solver.assertFormula(aIsTwo)
r = solver.checkSat()
assert r.isSat()
assert solver.getValue(a).toPythonObj() == 2
assert solver.getValue(b).toPythonObj() == -2
bIsTwo = tm.mkTerm(
Kind.EQUAL,
b,
tm.mkFiniteFieldElem(2, F),
)
solver.assertFormula(bIsTwo)
r = solver.checkSat()
assert not r.isSat()
def test_basic_finite_field_base(tm, solver):
solver.setOption("produce-models", "true")
F = tm.mkFiniteFieldSort("101", 2)
a = tm.mkConst(F, "a")
b = tm.mkConst(F, "b")
assert 5 == F.getFiniteFieldSize()
inv = tm.mkTerm(
Kind.EQUAL,
tm.mkTerm(Kind.FINITE_FIELD_MULT, a, b),
tm.mkFiniteFieldElem("1", F, 3),
)
aIsTwo = tm.mkTerm(
Kind.EQUAL,
a,
tm.mkFiniteFieldElem("10", F, 2),
)
solver.assertFormula(inv)
solver.assertFormula(aIsTwo)
r = solver.checkSat()
assert r.isSat()
assert solver.getValue(a).toPythonObj() == 2
assert solver.getValue(b).toPythonObj() == -2
bIsTwo = tm.mkTerm(
Kind.EQUAL,
b,
tm.mkFiniteFieldElem(2, F),
)
solver.assertFormula(bIsTwo)
r = solver.checkSat()
assert not r.isSat()
def test_finite_field_base_equality(tm):
F = tm.mkFiniteFieldSort("11", 4)
c = tm.mkFiniteFieldElem("-6d", F, 16)
d = tm.mkFiniteFieldElem("1", F, 16)
assert c == d
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