//  [python]
def interactive_plot(plot_df, figsize=(12, 7), dpi = 100, selection="DTO"):
    """Create interactive plots for DTO and constrained selection.

    Args:
        plot_df (_type_): a pd.DataFrame including numbers for each method.
        figsize (tuple, optional): figure size in tuple. Defaults to (12, 7).
        dpi (int, optional): figure resolution. Defaults to 100.
        selection (str, optional): constrained | DTO, indicating which model selection approach is used. Defaults to "DTO".
    """
    from matplotlib.widgets import CheckButtons
    from matplotlib.widgets import Slider, Button, RangeSlider

    assert selection in ["constrained", "DTO"], NotImplementedError

    plot_df["Fairness"] = plot_df["test_fairness mean"]
    plot_df["Performance"] = plot_df["test_performance mean"]

    fig, ax = plt.subplots(2, 3, figsize=figsize, dpi = dpi, gridspec_kw={'width_ratios': [1, 0.2, 2.5], 'height_ratios': [1, 0.075]})

    with sns.axes_style("white"):
        plot_ax = sns.tsplot(
            data=plot_df,
            time="Performance",
            value="Fairness",
            unit="Models",
            markers=True,
            condition="Models",
            ax = ax[0, 2]
        )

    plot_ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))

    init_performance_max = max(plot_df["Performance"])
    init_fairness_max = max(plot_df["Fairness"])

    init_performance_min = min(plot_df["Performance"])
    init_fairness_min = min(plot_df["Fairness"])

    ax[0, 2].set_xlim(
        1.1*init_performance_min-0.1*init_performance_max, 
        1.1*init_performance_max-0.1*init_performance_min)

    ax[0, 2].set_ylim(
        1.1*init_fairness_min-0.1*init_fairness_max, 
        1.1*init_fairness_max-0.1*init_fairness_min)


    # Selection box for displaying different models
    lines = list(plot_ax.lines)
    num_models = int(len(lines)/2)

    # Make checkbuttons with all plotted lines with correct visibility
    labels = [str(line.get_label()) for line in lines[num_models:]]
    visibility = [line.get_visible() for line in lines[num_models:]]
    # check = CheckButtons(rax, labels, visibility)
    check = CheckButtons(ax[0, 0], labels, visibility)

    def func(label):
        index = labels.index(label)
        lines[index].set_visible(not lines[index].get_visible())
        plt.draw()

    check.on_clicked(func)

    # Vary the lines
    if selection == "constrained":
        performance_limit_line = ax[0, 2].axvline(init_performance_max, ls="--", color='r') # vertical
        fairness_limit_line = ax[0, 2].axhline(init_fairness_max, ls="--", color='r') # horizontal
    elif selection == "DTO":
        performance_limit_line = ax[0, 2].axvline(init_performance_max, ls="--", color='g') # vertical
        fairness_limit_line = ax[0, 2].axhline(init_fairness_max, ls="--", color='g') # horizontal

    fairness_slider = RangeSlider(
        ax=ax[0, 1],
        label="Fairness",
        valmin=0,
        valmax=1,
        valinit=(1.1*init_fairness_min-0.1*init_fairness_max, init_fairness_max),
        orientation="vertical"
    )

    performacne_slider = RangeSlider(
        ax=ax[1, 2],
        label="Performance",
        valmin=0,
        valmax=1,
        valinit=(1.1*init_performance_min-0.1*init_performance_max, init_performance_max),
    )

    def performance_update(val):
        performance_limit_line.set_xdata(val[1])

        ax[0, 2].set_xlim(
            1.1*val[0]-0.1*val[1], 
            1.1*val[1]-0.1*val[0])

        fig.canvas.draw_idle()

    def fairness_update(val):
        fairness_limit_line.set_ydata(val[1])

        ax[0, 2].set_ylim(
            1.1*val[0]-0.1*val[1], 
            1.1*val[1]-0.1*val[0])

        fig.canvas.draw_idle()

    performacne_slider.on_changed(performance_update)
    fairness_slider.on_changed(fairness_update)

    # Reset fairness and performacne line
    if selection == "constrained":
        tradeoff_reset_button = Button(ax[1,1], 'RES', hovercolor='0.975')
    elif selection == "DTO":
        tradeoff_reset_button = Button(ax[1,1], 'DTO', hovercolor='0.975')
        utopia_point = ax[0, 2].plot(
            performacne_slider.val[1], 
            fairness_slider.val[1], 
            "go")[0]

        utopia_label = ax[0, 2].text(
            performacne_slider.val[1], 
            fairness_slider.val[1], 
            "Utopia", c="k", horizontalalignment='left',
            verticalalignment='bottom', fontsize=12)

        utopia_point.set_visible(False)
        utopia_label.set_visible(False)

    if selection == "constrained":
        def reset(event):
            performacne_slider.reset()
            fairness_slider.reset()

            ax[0, 2].set_xlim(
                1.1*init_performance_min-0.1*init_performance_max, 
                1.1*init_performance_max-0.1*init_performance_min)

            ax[0, 2].set_ylim(
                1.1*init_fairness_min-0.1*init_fairness_max, 
                1.1*init_fairness_max-0.1*init_fairness_min)
    elif selection == "DTO":
        # Handle the click event
        global DTO_lines
        DTO_lines = []
        global DTO_line_labels
        DTO_line_labels = []

        def DTO_onclick(event):
            if event.inaxes not in [ax[0, 2]]:
                return
            _xdata, _ydata = event.xdata, event.ydata
            # Draw a line between 
            _line = ax[0, 2].plot(
                [_xdata, performacne_slider.val[1]], 
                [_ydata, fairness_slider.val[1]], 'g:')
            DTO_lines.append(_line[0])

            # Calculate and display DTO
            _DTO = DTO(
                fairness_metric = [_ydata], 
                performacne_metric = [_xdata], 
                utopia_fairness = fairness_slider.val[1], 
                utopia_performance = performacne_slider.val[1])
            _DTO_label = ax[0, 2].text(
            _xdata, _ydata, 
            "{:.4f}".format(_DTO[0]), c="k", fontsize=9, 
            # horizontalalignment='left', verticalalignment='bottom',
            )
            DTO_line_labels.append(_DTO_label)

        global DTO_pick_cid
        DTO_pick_cid = fig.canvas.mpl_connect('button_press_event', DTO_onclick)
        fig.canvas.mpl_disconnect(DTO_pick_cid)


        def reset(event):
            global DTO_pick_cid
            global DTO_lines
            global DTO_line_labels

            if tradeoff_reset_button.label.get_text() == "DTO":
                # Change the button label
                tradeoff_reset_button.label.set_text("RES")
                # Update the location of Utopoia point
                utopia_point.set_xdata(performacne_slider.val[1])
                utopia_label.set_x(performacne_slider.val[1])
                utopia_point.set_ydata(fairness_slider.val[1])
                utopia_label.set_y(fairness_slider.val[1])
                # Display the Utopia point
                utopia_point.set_visible(True)
                utopia_label.set_visible(True)
                # Connect the pick event handler
                DTO_pick_cid = fig.canvas.mpl_connect('button_press_event', DTO_onclick)

            else:
                # Change the button label
                tradeoff_reset_button.label.set_text("DTO")

                performacne_slider.reset()
                fairness_slider.reset()

                ax[0, 2].set_xlim(
                    1.1*init_performance_min-0.1*init_performance_max, 
                    1.1*init_performance_max-0.1*init_performance_min)

                ax[0, 2].set_ylim(
                    1.1*init_fairness_min-0.1*init_fairness_max, 
                    1.1*init_fairness_max-0.1*init_fairness_min)
                
                # Remove utopia point
                utopia_point.set_visible(False)
                utopia_label.set_visible(False)

                # Disconnet the pick event handler
                fig.canvas.mpl_disconnect(DTO_pick_cid)
                # Remove Lines
                for line in DTO_lines:
                    # line.set_visible(False)
                    line.remove()
                DTO_lines = []
                # Remove labels
                for label in DTO_line_labels:
                    label.remove()
                DTO_line_labels = []
            
            fig.canvas.draw_idle()

    tradeoff_reset_button.on_clicked(reset)

    # ax[1,0].axis('off')
    method_selectAll_button = Button(ax[1,0], 'Unselect', hovercolor='0.975')
    def select_all_methods(event):
        if method_selectAll_button.label.get_text() == "Select All":
            method_selectAll_button.label.set_text("Unselect")

            for index in range(num_models):
                if not lines[index].get_visible():
                    # lines[index].set_visible(True)
                    check.set_active(index)
            plt.draw()

        else:
            method_selectAll_button.label.set_text("Select All")

            for index in range(num_models):
                if lines[index].get_visible():
                    # lines[index].set_visible(False)
                    check.set_active(index)
            plt.draw()
    
    method_selectAll_button.on_clicked(select_all_methods)



    plt.tight_layout()
    # plt.subplots_adjust(right=0.75)  
    plt.show()