def from_float(cls, f):
"""Converts a finite float to a rational number, exactly.
Beware that Fraction.from_float(0.3) != Fraction(3, 10).
"""
if isinstance(f, numbers.Integral):
return cls(f)
elif not isinstance(f, float):
raise TypeError("%s.from_float() only takes floats, not %r (%s)" %
(cls.__name__, f, type(f).__name__))
if math.isnan(f):
raise ValueError("Cannot convert %r to %s." % (f, cls.__name__))
if math.isinf(f):
raise OverflowError("Cannot convert %r to %s." % (f, cls.__name__))
return cls(*f.as_integer_ratio())
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