<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def validate(self, instance, value):
 """Checks that value is a complex number Floats and Integers are coerced to complex numbers """

        try:
            compval = complex(value)
            if not self.cast and (
                    abs(value.real - compval.real) > TOL or
                    abs(value.imag - compval.imag) > TOL
            ):
                self.error(
                    instance=instance,
                    value=value,
                    extra='Not within tolerance range of {}.'.format(TOL),
                )
        except (TypeError, ValueError, AttributeError):
            self.error(instance, value)
        return compval