def integralize(exp):
"""
Coerce an expression into an integer if possible,
else return an error.
Returns the corresponding integer if ``exp`` is integral.
Returns ``exp`` if ``exp`` is an expression
which is not known to be integral.
Otherwise, an exception is raised.
"""
if isinstance(exp, float):
exp = create_RealNumber(exp)
elif isinstance(exp, Expression) and not exp.is_constant():
return exp
try:
if isinstance(exp, (int, IntegerFactorization)):
return exp + Integer(0)
elif exp.is_integer():
return Integer(exp)
mp = exp.minpoly()
if mp.degree() == 1:
return Integer(mp.any_root())
except Exception:
pass
raise TypeError("attempt to coerce non-integer to Integer")
def _sympysage_float(self):
"""
EXAMPLES::
sage: from sympy.core.numbers import RealNumber as RN
sage: assert SR(-1.34)._sympy_() == RN('-1.34')
sage: assert SR(-1.34) == RN('-1.34')._sage_()
"""
from sage.rings.real_mpfr import create_RealNumber
return create_RealNumber(str(self))
def _sympysage_float(self):
"""
EXAMPLES::
sage: from sympy.core.numbers import RealNumber as RN
sage: assert SR(-1.34)._sympy_() == RN('-1.34')
sage: assert SR(-1.34) == RN('-1.34')._sage_()
"""
from sage.rings.real_mpfr import create_RealNumber
return create_RealNumber(str(self))
def int_or_real(x):
r"""
Convert ``x`` to a Sage integer or real number.
If ``x`` is integral, an ``Integer`` is returned. Otherwise, a real number
is returned.
"""
if isinteger(x):
return Integer(x)
else:
return create_RealNumber(x)
def int_or_real(x):
r"""
Convert ``x`` to a Sage integer or real number.
If ``x`` is integral, an ``Integer`` is returned. Otherwise, a real number
is returned.
"""
if isinteger(x):
return Integer(x)
else:
return create_RealNumber(x)
def round(x):
"""
Return ``x`` rounded to an ``Integer``.
"""
return create_RealNumber(x).round()
def int_or_real(x):
if isinteger(x):
return Integer(x)
else:
return create_RealNumber(x)
