How to use the parameterized.Parameterized function in parameterized

# Copyright (c) 2014, James Hensman, Max Zwiessele
# Licensed under the BSD 3-clause license (see LICENSE.txt)

import numpy as np
from parameterized import Parameterized
from param import Param

class Remapping(Parameterized):
    def mapping(self):
        """
        The return value of this function gives the values which the re-mapped
        parameters should take. Implement in sub-classes.
        """
        raise NotImplementedError

    def callback(self):
        raise NotImplementedError

    def __str__(self):
        return self.name

    def parameters_changed(self):
        #ensure all out parameters have the correct value, as specified by our mapping
        index = self._highest_parent_.constraints[self]

raise NotImplementedError

    def __str__(self):
        return self.name

    def parameters_changed(self):
        #ensure all out parameters have the correct value, as specified by our mapping
        index = self._highest_parent_.constraints[self]
        self._highest_parent_.param_array[index] = self.mapping()
        [p.notify_observers(which=self) for p in self.tied_parameters]

class Fix(Remapping):
    pass


class Tie(Parameterized):
    """
    The new parameter tie framework. (under development)
    
    All the parameters tied together get a new parameter inside the *Tie* object. 
    Its value should always be equal to all the tied parameters, and its gradient
    is the sum of all the tied parameters.
    
    =====Implementation Details=====
    The *Tie* object should only exist on the top of param tree (the highest parent).
    
    Each tied param object has the attribute _tie_ which stores the labels for tied parameters.
    
    self.label_buf:
    It uses a label buffer that has the same length as all the parameters (self._highest_parent_.param_array).
    The buffer keeps track of all the tied parameters. All the tied parameters have a label (an interger) higher 
    than 0, and the parameters that have the same label are tied together.