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from sympy.testing.pytest import raises
from sympy.core.symbol import S
from sympy.polys import ZZ, QQ
from sympy.polys.matrices.domainscalar import DomainScalar
from sympy.polys.matrices.domainmatrix import DomainMatrix
def test_DomainScalar___new__():
raises(TypeError, lambda: DomainScalar(ZZ(1), QQ))
raises(TypeError, lambda: DomainScalar(ZZ(1), 1))
def test_DomainScalar_new():
A = DomainScalar(ZZ(1), ZZ)
B = A.new(ZZ(4), ZZ)
assert B == DomainScalar(ZZ(4), ZZ)
def test_DomainScalar_repr():
A = DomainScalar(ZZ(1), ZZ)
assert repr(A) in {'1', 'mpz(1)'}
def test_DomainScalar_from_sympy():
expr = S(1)
B = DomainScalar.from_sympy(expr)
assert B == DomainScalar(ZZ(1), ZZ)
def test_DomainScalar_to_sympy():
B = DomainScalar(ZZ(1), ZZ)
expr = B.to_sympy()
assert expr.is_Integer and expr == 1
def test_DomainScalar_to_domain():
A = DomainScalar(ZZ(1), ZZ)
B = A.to_domain(QQ)
assert B == DomainScalar(QQ(1), QQ)
def test_DomainScalar_convert_to():
A = DomainScalar(ZZ(1), ZZ)
B = A.convert_to(QQ)
assert B == DomainScalar(QQ(1), QQ)
def test_DomainScalar_unify():
A = DomainScalar(ZZ(1), ZZ)
B = DomainScalar(QQ(2), QQ)
A, B = A.unify(B)
assert A.domain == B.domain == QQ
def test_DomainScalar_add():
A = DomainScalar(ZZ(1), ZZ)
B = DomainScalar(QQ(2), QQ)
assert A + B == DomainScalar(QQ(3), QQ)
raises(TypeError, lambda: A + 1.5)
def test_DomainScalar_sub():
A = DomainScalar(ZZ(1), ZZ)
B = DomainScalar(QQ(2), QQ)
assert A - B == DomainScalar(QQ(-1), QQ)
raises(TypeError, lambda: A - 1.5)
def test_DomainScalar_mul():
A = DomainScalar(ZZ(1), ZZ)
B = DomainScalar(QQ(2), QQ)
dm = DomainMatrix([[ZZ(1), ZZ(2)], [ZZ(3), ZZ(4)]], (2, 2), ZZ)
assert A * B == DomainScalar(QQ(2), QQ)
assert A * dm == dm
assert B * 2 == DomainScalar(QQ(4), QQ)
raises(TypeError, lambda: A * 1.5)
def test_DomainScalar_floordiv():
A = DomainScalar(ZZ(-5), ZZ)
B = DomainScalar(QQ(2), QQ)
assert A // B == DomainScalar(QQ(-5, 2), QQ)
C = DomainScalar(ZZ(2), ZZ)
assert A // C == DomainScalar(ZZ(-3), ZZ)
raises(TypeError, lambda: A // 1.5)
def test_DomainScalar_mod():
A = DomainScalar(ZZ(5), ZZ)
B = DomainScalar(QQ(2), QQ)
assert A % B == DomainScalar(QQ(0), QQ)
C = DomainScalar(ZZ(2), ZZ)
assert A % C == DomainScalar(ZZ(1), ZZ)
raises(TypeError, lambda: A % 1.5)
def test_DomainScalar_divmod():
A = DomainScalar(ZZ(5), ZZ)
B = DomainScalar(QQ(2), QQ)
assert divmod(A, B) == (DomainScalar(QQ(5, 2), QQ), DomainScalar(QQ(0), QQ))
C = DomainScalar(ZZ(2), ZZ)
assert divmod(A, C) == (DomainScalar(ZZ(2), ZZ), DomainScalar(ZZ(1), ZZ))
raises(TypeError, lambda: divmod(A, 1.5))
def test_DomainScalar_pow():
A = DomainScalar(ZZ(-5), ZZ)
B = A**(2)
assert B == DomainScalar(ZZ(25), ZZ)
raises(TypeError, lambda: A**(1.5))
def test_DomainScalar_pos():
A = DomainScalar(QQ(2), QQ)
B = DomainScalar(QQ(2), QQ)
assert +A == B
def test_DomainScalar_neg():
A = DomainScalar(QQ(2), QQ)
B = DomainScalar(QQ(-2), QQ)
assert -A == B
def test_DomainScalar_eq():
A = DomainScalar(QQ(2), QQ)
assert A == A
B = DomainScalar(ZZ(-5), ZZ)
assert A != B
C = DomainScalar(ZZ(2), ZZ)
assert A != C
D = [1]
assert A != D
def test_DomainScalar_isZero():
A = DomainScalar(ZZ(0), ZZ)
assert A.is_zero() == True
B = DomainScalar(ZZ(1), ZZ)
assert B.is_zero() == False
def test_DomainScalar_isOne():
A = DomainScalar(ZZ(1), ZZ)
assert A.is_one() == True
B = DomainScalar(ZZ(0), ZZ)
assert B.is_one() == False
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