<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def get_default_value_by_type(type_, state=None):
 """ Java specify defaults values for primitive and reference types. This method returns the default value for a given type. :param str type_: Name of type. :return: Default value for this type. """

        if type_ in ['byte', 'char', 'short', 'int', 'boolean']:
            return BVS('default_value_{}'.format(type_), 32)
        elif type_ == "long":
            return BVS('default_value_{}'.format(type_), 64)
        elif type_ == 'float':
            return FPS('default_value_{}'.format(type_), FSORT_FLOAT)
        elif type_ == 'double':
            return FPS('default_value_{}'.format(type_), FSORT_DOUBLE)
        elif state is not None:
            if type_ == 'java.lang.String':
                return SimSootValue_StringRef.new_string(state, StringS('default_value_{}'.format(type_), 1000))
            if type_.endswith('[][]'):
                raise NotImplementedError
                # multiarray = SimSootExpr_NewMultiArray.new_array(self.state, element_type, size)
                # multiarray.add_default_value_generator(lambda s: SimSootExpr_NewMultiArray._generate_inner_array(s, element_type, sizes))
                # return  multiarray
            elif type_.endswith('[]'):
                array = SimSootExpr_NewArray.new_array(state, type_[:-2], BVV(2, 32))
                return array
            else:
                return SimSootValue_ThisRef.new_object(state, type_, symbolic=True, init_object=False)
        else:
            # not a primitive type
            # => treat it as a reference
            return SootNullConstant()