Vehicle-cpp/hkpc/software/sympy/polys/matrices/tests/test_domainscalar.py

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_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