def test_Domain_convert():
def check_element(e1, e2, K1, K2, K3):
assert type(e1) is type(e2), '%s, %s: %s %s -> %s' % (e1, e2, K1, K2, K3)
assert e1 == e2, '%s, %s: %s %s -> %s' % (e1, e2, K1, K2, K3)
def check_domains(K1, K2):
K3 = K1.unify(K2)
check_element(K3.convert_from(K1.one, K1), K3.one , K1, K2, K3)
check_element(K3.convert_from(K2.one, K2), K3.one , K1, K2, K3)
check_element(K3.convert_from(K1.zero, K1), K3.zero, K1, K2, K3)
check_element(K3.convert_from(K2.zero, K2), K3.zero, K1, K2, K3)
def composite_domains(K):
return [K, K[y], K[z], K[y, z],
K.frac_field(y), K.frac_field(z), K.frac_field(y, z)]
QQ2 = QQ.algebraic_field(sqrt(2))
QQ3 = QQ.algebraic_field(sqrt(3))
doms = [ZZ, QQ, QQ2, QQ3, QQ_I, ZZ_I, RR, CC]
for i, K1 in enumerate(doms):
for K2 in doms[i:]:
for K3 in composite_domains(K1):
for K4 in composite_domains(K2):
check_domains(K3, K4)
assert QQ.convert(10e-52) == QQ(1684996666696915, 1684996666696914987166688442938726917102321526408785780068975640576)
R, x = ring("x", ZZ)
assert ZZ.convert(x - x) == 0
assert ZZ.convert(x - x, R.to_domain()) == 0
assert CC.convert(ZZ_I(1, 2)) == CC(1, 2)
assert CC.convert(QQ_I(1, 2)) == CC(1, 2)
def test_Domain_convert():
assert QQ.convert(10e-52) == QQ(
1684996666696915,
1684996666696914987166688442938726917102321526408785780068975640576)
R, x = ring("x", ZZ)
assert ZZ.convert(x - x) == 0
assert ZZ.convert(x - x, R.to_domain()) == 0
def test_Domain_convert():
assert QQ.convert(10e-52) == QQ(
1684996666696915, 1684996666696914987166688442938726917102321526408785780068975640576
)
R, x = ring("x", ZZ)
assert ZZ.convert(x - x) == 0
assert ZZ.convert(x - x, R.to_domain()) == 0
def test_Domain_convert():
def check_element(e1, e2, K1, K2, K3):
assert type(e1) is type(e2), '%s, %s: %s %s -> %s' % (e1, e2, K1, K2,
K3)
assert e1 == e2, '%s, %s: %s %s -> %s' % (e1, e2, K1, K2, K3)
def check_domains(K1, K2):
K3 = K1.unify(K2)
check_element(K3.convert_from(K1.one, K1), K3.one, K1, K2, K3)
check_element(K3.convert_from(K2.one, K2), K3.one, K1, K2, K3)
check_element(K3.convert_from(K1.zero, K1), K3.zero, K1, K2, K3)
check_element(K3.convert_from(K2.zero, K2), K3.zero, K1, K2, K3)
def composite_domains(K):
domains = [
K,
K[y],
K[z],
K[y, z],
K.frac_field(y),
K.frac_field(z),
K.frac_field(y, z),
# XXX: These should be tested and made to work...
# K.old_poly_ring(y), K.old_frac_field(y),
]
return domains
QQ2 = QQ.algebraic_field(sqrt(2))
QQ3 = QQ.algebraic_field(sqrt(3))
doms = [ZZ, QQ, QQ2, QQ3, QQ_I, ZZ_I, RR, CC]
for i, K1 in enumerate(doms):
for K2 in doms[i:]:
for K3 in composite_domains(K1):
for K4 in composite_domains(K2):
check_domains(K3, K4)
assert QQ.convert(10e-52) == QQ(
1684996666696915,
1684996666696914987166688442938726917102321526408785780068975640576)
R, xr = ring("x", ZZ)
assert ZZ.convert(xr - xr) == 0
assert ZZ.convert(xr - xr, R.to_domain()) == 0
assert CC.convert(ZZ_I(1, 2)) == CC(1, 2)
assert CC.convert(QQ_I(1, 2)) == CC(1, 2)
K1 = QQ.frac_field(x)
K2 = ZZ.frac_field(x)
K3 = QQ[x]
K4 = ZZ[x]
Ks = [K1, K2, K3, K4]
for Ka, Kb in product(Ks, Ks):
assert Ka.convert_from(Kb.from_sympy(x), Kb) == Ka.from_sympy(x)
assert K2.convert_from(QQ(1, 2), QQ) == K2(QQ(1, 2))
def ModularIntegerFactory(_mod, _dom=None, _sym=True):
"""Create custom class for specific integer modulus."""
if _dom is None:
from sympy.polys.domains import ZZ as _dom
elif not _dom.is_ZZ:
raise TypeError("expected an integer ring, got %s" % _dom)
try:
_mod = _dom.convert(_mod)
except CoercionFailed:
ok = False
else:
ok = True
if not ok or _mod < 1:
raise ValueError("modulus must be a positive integer, got %s" % _mod)
key = _mod, _dom, _sym
try:
cls = _modular_integer_cache[key]
except KeyError:
class cls(ModularInteger):
mod, dom, sym = _mod, _dom, _sym
if _sym:
cls.__name__ = "SymmetricModularIntegerMod%s" % _mod
else:
cls.__name__ = "ModularIntegerMod%s" % _mod
_modular_integer_cache[key] = cls
return cls
def from_GaussianRationalField(K1, a, K0):
"""Convert a QQ_I element to ZZ_I."""
return K1.new(ZZ.convert(a.x), ZZ.convert(a.y))
def test_Domain_convert():
assert QQ.convert(10e-52) != QQ(0)
assert ZZ.convert(DMP([[ZZ(1)]], ZZ)) == ZZ(1)
def test_Domain_convert():
assert QQ.convert(10e-52) != QQ(0)
assert ZZ.convert(DMP([[ZZ(1)]], ZZ)) == ZZ(1)