def _broadcast_compat_variables(*variables):
    """Create broadcast compatible variables, with the same dimensions.

    Unlike the result of broadcast_variables(), some variables may have
    dimensions of size 1 instead of the the size of the broadcast dimension.
    """
    dims = tuple(_unified_dims(variables))
    return tuple(var.set_dims(dims) if var.dims != dims else var
                 for var in variables)