<reponame>Jaimedlrm/entropytriangle<filename>entropytriangle/entropytriangle.py
'''

Module for plotting the ET

'''

import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
import matplotlib.lines as mlines

from matplotlib.lines import Line2D
from sys import exit as exit
from .ternary import ternary_axes_subplot
from .coordsentropic import *
from random import choice

#Auxiliar functions

def get_cmap(number, cmet = "1"):

    """
    Used for generating a set of random colors in order to differenciate the coordinates of each variable in the diagram. 
    A series of color maps can be applied (It will be randomly selected)

    > colors_markers = get_cmap(len(df.index))

    Parameters
    ----------
    number : Number of colours (1 per variable)

    Returns
    ----------
    colors : Returns a set of colors for creating the scatter plot (matplotlib.colors.LinearSegmentedColormap)

    """
    if(cmet=="1"):
        #cmaps = list(['Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds','YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu','GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn'])
        cmaps = list(['spring','summer','autumn','winter','cool','Wistia'])
        cmaps = list(['summer'])
    else:
        cmaps = list(['summer'])
    return plt.cm.get_cmap(choice(cmaps) , number)



def markers(n) :
    
    #filled_markers = ('o', '*','+', 'x','D') ; mk = list()
    filled_markers = ('o') ; mk = list()
    for i in range(n) : mk.append(choice(filled_markers))
    return mk

    
    
def entriangle (edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):
    
    """
    Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)

    > entropytriangle(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):

    Parameters
    ----------
    edf : Dataframe with the entropic measures calculated
    names : Used for plotting a list of Daframes (Defalut = NONE) 
            In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)
    scale : Scale for the entropy triangle
    fonts : Fontsize of the Labels
    s_mk : Size of the marks for the triangle
    gridl : Space between each gridline
    tick_size: size of the numbers for the ticks
    pltscale : Scale of the matplotlib window
    chart_title: Plot´s title
    

    Returns
    ----------
    points : painted points 
    Shows the triangle
    
    """

    if(not isinstance(edf,pd.DataFrame)):
            exit("Can only work with Data Frames or lists of DataFrames! (df it´s not a DataFrame)")
               
    points = entcoords(edf, scale)

    #SMET PLOT
    if(hasSplitSmetCoords(edf) or hasAggregateSmetCoords(edf) or hasDualAggregateSmetCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale,angle = -60)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")
    
        colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        mk = markers(1)*len(edf)
        
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk, marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.1')

        if (hasSplitSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Source Multivariate split entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{P_{X_i}}$", fontsize=fonts)
            tax.right_axis_label(r"$ M'_{P_{X_i}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ H'_{P_{X_i|X_i^c}}$", fontsize=fonts)

        elif (hasAggregateSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Source Multivariate entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{Pi_{X}}$", fontsize=fonts)
            tax.right_axis_label(r"$ M'_{P_{X}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ VI'_{P_{X}}$", fontsize=fonts)

        elif (hasDualAggregateSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Dual Source Multivariate entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{P_{X}}$", fontsize=fonts)
            tax.right_axis_label(r"$ D'_{P_{X}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ VI'_{P_{X}}$", fontsize=fonts)
    
    elif(hasCbetEntropicCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        mk = markers(1)*len(edf.index) ; colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk , marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.1')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Bivariate entropy triangle (CBET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI_{P_{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ MI_{P_{XY}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H_{P_{X}\cdot{P_{Y}}}$", fontsize=fonts)


    #CMET PLOT
    elif(hasCmetEntropicCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        mk = markers(len(edf.index)) ; colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk , marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.3')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Multivariate entropies (CMET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI'_{P_\overline{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ 2\cdot{I'_{P_\overline{XY}}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H'_{P_\overline{XY}}$", fontsize=fonts)

    else: 
        
        exit("Entropic coordinates needed for the diagram plotting")

    tax.ticks(axis='lbr', linewidth=1, multiple = gridl , fontsize = ticks_size )
    tax.clear_matplotlib_ticks()
    tax.legend(title = 'Features' ,labelspacing = 1.5 , fontsize = 10)
    
    tax.show()
    figure.savefig('plot.pdf')
    
    #return tax

    
    
def entriangle_list(edf, names = None, scale = 100 , fonts = 30 ,s_mk = 200 , gridl = 20 , ticks_size = 15 , pltscale = 17, chart_title = ""):
    
    """
    Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)
    This function just work with LISTS of dataframes

    > entropytriangle_list(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):

    Parameters
    ----------
    edf : list of entropy dataframes 
    names : Used for plotting a list of Daframes (Defalut = NONE) 
            In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)
    scale : Scale for the entropy triangle
    fonts : Fontsize of the Labels
    s_mk : Size of the marks for the triangle
    gridl : Space between each gridline
    tick_size: size of the numbers for the ticks
    pltscale : Scale of the matplotlib window
    chart_title: Plot´s title
    

    Returns
    ----------
    points : painted points 
    Shows the triangle
    
    """

    if(not isinstance(edf, list)):
        exit('This function only works with LISTS of Dataframes, maybe you can try the etplot function for an individual DataFrame plot')
    
    if(not all(isinstance(edf[x],pd.DataFrame) for x in range(len(edf)))):
        exit('All values must be instances of DataFrames for entropy calculations')
    
    if(all(hasCbetEntropicCoords(edf[l]) for l in range(len(edf)))):
        
        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")
        
        name = names
        colors = get_cmap(len(edf)); mk = markers(1)*len(edf) #mk = markers(1)*len(edf[i].index)
        for i in range(len(edf)):
            points = entcoords(edf[i], scale)
            #mk = markers(1)*len(edf[i].index) ; 
            name = str(names[i])
            for j in range(len(edf[i].index)):
                tax.scatter(points[j:j+1], s = s_mk , marker = mk[j], color = colors(i), label = name ,edgecolor='black', linewidth='0.3')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Bivariate entropy triangle (CBET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI_{P_{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ MI_{P_{XY}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H_{P_{X}\cdot{P_{Y}}}$", fontsize=fonts)
    
    elif(all(hasCmetEntropicCoords(edf[l]) for l in range(len(edf)))):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        marker = list(['X','v','o'])
        colors = get_cmap(len(edf))

        for i in range(3): 
            for j in range(len(edf)):
                points = entcoords(edf[j].take([i]), scale)
                mk = marker[i]*len(edf) ; names = str(edf[i].index[i]+' with '+str(len(edf)-j)+' PC')

                if(i != 1):
                    tax.scatter(points, s = s_mk , marker = mk[j], color=colors(j), linewidth='0.1')
                
                else:
                    tax.scatter(points, s = s_mk , marker = mk[j], color ='white' , edgecolors = colors(j), linewidth='1.5')
                
        if(chart_title == ""):
            tax.set_title("Channel Multivariate entropies (CMET)", fontsize = fonts + 5)
        else:
            tax.set_title(chart_title, fontsize = fonts + 5)

        tax.left_axis_label(r"$ VI'_{P_\overline{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ 2\cdot{I'_{P_\overline{XY}}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H'_{P_\overline{XY}}$", fontsize=fonts)
       
        leg = list()
        leg.append(mpatches.Patch(color='white', label='Feature Type'))
        
        for i in range(len(edf)):leg.append(mpatches.Patch(color=colors(i), label=str(len(edf)-i)+' Principal Components'))
        leg.append(mpatches.Patch(color='white', label=''))
        leg.append(mpatches.Patch(color='white', label='Entropy types'))
    
        leg.append(mlines.Line2D([], [], color='grey', marker='X', linestyle='None',markersize=15, label='X')); leg.append(mlines.Line2D([], [], color='grey', marker='v', linestyle='None',markersize=15, label='Y')); leg.append(mlines.Line2D([], [], color='grey', marker='o', linestyle='None',markersize=15, label='XY'))


    tax.ticks(axis='lbr', linewidth=1, multiple = gridl , fontsize = ticks_size )
    tax.clear_matplotlib_ticks()
    
    if(all(hasCmetEntropicCoords(edf[l]) for l in range(len(edf)))):
        
        tax.legend(handles=leg, loc = 1 ,labelspacing = 1 , fontsize = 10)
    else:
        tax.legend(title = 'Features' ,labelspacing = 1.5 , fontsize = 12)
    
    
    tax.show()
    figure.savefig('plot.pdf')
    #return tax
    
    
    
    
    
    
'''

Module for plotting the ET

'''

import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
import matplotlib.lines as mlines

from matplotlib.lines import Line2D
from sys import exit as exit
from .ternary import ternary_axes_subplot
from .coordsentropic import *
from random import choice

#Auxiliar functions

def get_cmap(number, cmet = "1"):

    """
    Used for generating a set of random colors in order to differenciate the coordinates of each variable in the diagram. 
    A series of color maps can be applied (It will be randomly selected)

    > colors_markers = get_cmap(len(df.index))

    Parameters
    ----------
    number : Number of colours (1 per variable)

    Returns
    ----------
    colors : Returns a set of colors for creating the scatter plot (matplotlib.colors.LinearSegmentedColormap)

    """
    if(cmet=="1"):
        #cmaps = list(['Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds','YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu','GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn'])
        cmaps = list(['spring','summer','autumn','winter','cool','Wistia'])
        cmaps = list(['summer'])
    else:
        cmaps = list(['summer'])
    return plt.cm.get_cmap(choice(cmaps) , number)



def markers(n) :
    
    #filled_markers = ('o', '*','+', 'x','D') ; mk = list()
    filled_markers = ('o') ; mk = list()
    for i in range(n) : mk.append(choice(filled_markers))
    return mk

    
    
def entriangle (edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):
    
    """
    Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)

    > entropytriangle(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):

    Parameters
    ----------
    edf : Dataframe with the entropic measures calculated
    names : Used for plotting a list of Daframes (Defalut = NONE) 
            In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)
    scale : Scale for the entropy triangle
    fonts : Fontsize of the Labels
    s_mk : Size of the marks for the triangle
    gridl : Space between each gridline
    tick_size: size of the numbers for the ticks
    pltscale : Scale of the matplotlib window
    chart_title: Plot´s title
    

    Returns
    ----------
    points : painted points 
    Shows the triangle
    
    """

    if(not isinstance(edf,pd.DataFrame)):
            exit("Can only work with Data Frames or lists of DataFrames! (df it´s not a DataFrame)")
               
    points = entcoords(edf, scale)

    #SMET PLOT
    if(hasSplitSmetCoords(edf) or hasAggregateSmetCoords(edf) or hasDualAggregateSmetCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale,angle = -60)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")
    
        colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        mk = markers(1)*len(edf)
        
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk, marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.1')

        if (hasSplitSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Source Multivariate split entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{P_{X_i}}$", fontsize=fonts)
            tax.right_axis_label(r"$ M'_{P_{X_i}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ H'_{P_{X_i|X_i^c}}$", fontsize=fonts)

        elif (hasAggregateSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Source Multivariate entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{Pi_{X}}$", fontsize=fonts)
            tax.right_axis_label(r"$ M'_{P_{X}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ VI'_{P_{X}}$", fontsize=fonts)

        elif (hasDualAggregateSmetCoords(edf)):

            if(chart_title != ""):
                tax.set_title(chart_title, fontsize = fonts + 5)
            else:
                tax.set_title("Dual Source Multivariate entropies (SMET)", fontsize = fonts + 5)
            tax.left_axis_label(r"$\Delta H'_{P_{X}}$", fontsize=fonts)
            tax.right_axis_label(r"$ D'_{P_{X}}$", fontsize=fonts)
            tax.bottom_axis_label(r"$ VI'_{P_{X}}$", fontsize=fonts)
    
    elif(hasCbetEntropicCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        mk = markers(1)*len(edf.index) ; colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk , marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.1')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Bivariate entropy triangle (CBET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI_{P_{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ MI_{P_{XY}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H_{P_{X}\cdot{P_{Y}}}$", fontsize=fonts)


    #CMET PLOT
    elif(hasCmetEntropicCoords(edf)):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        mk = markers(len(edf.index)) ; colors = get_cmap(len(edf.index)) ; names = list(edf.index)
        for i in range(len(edf.index)):
            tax.scatter(points[i:i+1], s = s_mk , marker = mk[i], color = colors(i), label = names[i] ,edgecolor='black', linewidth='0.3')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Multivariate entropies (CMET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI'_{P_\overline{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ 2\cdot{I'_{P_\overline{XY}}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H'_{P_\overline{XY}}$", fontsize=fonts)

    else: 
        
        exit("Entropic coordinates needed for the diagram plotting")

    tax.ticks(axis='lbr', linewidth=1, multiple = gridl , fontsize = ticks_size )
    tax.clear_matplotlib_ticks()
    tax.legend(title = 'Features' ,labelspacing = 1.5 , fontsize = 10)
    
    tax.show()
    figure.savefig('plot.pdf')
    
    #return tax

    
    
def entriangle_list(edf, names = None, scale = 100 , fonts = 30 ,s_mk = 200 , gridl = 20 , ticks_size = 15 , pltscale = 17, chart_title = ""):
    
    """
    Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)
    This function just work with LISTS of dataframes

    > entropytriangle_list(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200 
                     ,gridl = 20 , ticks_size = 15 , pltscale = 20, 
                     chart_title = ""):

    Parameters
    ----------
    edf : list of entropy dataframes 
    names : Used for plotting a list of Daframes (Defalut = NONE) 
            In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)
    scale : Scale for the entropy triangle
    fonts : Fontsize of the Labels
    s_mk : Size of the marks for the triangle
    gridl : Space between each gridline
    tick_size: size of the numbers for the ticks
    pltscale : Scale of the matplotlib window
    chart_title: Plot´s title
    

    Returns
    ----------
    points : painted points 
    Shows the triangle
    
    """

    if(not isinstance(edf, list)):
        exit('This function only works with LISTS of Dataframes, maybe you can try the etplot function for an individual DataFrame plot')
    
    if(not all(isinstance(edf[x],pd.DataFrame) for x in range(len(edf)))):
        exit('All values must be instances of DataFrames for entropy calculations')
    
    if(all(hasCbetEntropicCoords(edf[l]) for l in range(len(edf)))):
        
        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")
        
        name = names
        colors = get_cmap(len(edf)); mk = markers(1)*len(edf) #mk = markers(1)*len(edf[i].index)
        for i in range(len(edf)):
            points = entcoords(edf[i], scale)
            #mk = markers(1)*len(edf[i].index) ; 
            name = str(names[i])
            for j in range(len(edf[i].index)):
                tax.scatter(points[j:j+1], s = s_mk , marker = mk[j], color = colors(i), label = name ,edgecolor='black', linewidth='0.3')

        if(chart_title != ""):
            tax.set_title(chart_title, fontsize = fonts + 5)
        else:
            tax.set_title("Channel Bivariate entropy triangle (CBET)", fontsize = fonts + 5)
        tax.left_axis_label(r"$ VI_{P_{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ MI_{P_{XY}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H_{P_{X}\cdot{P_{Y}}}$", fontsize=fonts)
    
    elif(all(hasCmetEntropicCoords(edf[l]) for l in range(len(edf)))):

        figure, tax = ternary_axes_subplot.figure(scale=scale)
        figure.set_size_inches(pltscale, pltscale)
        tax.boundary(linewidth=2.0)
        tax.gridlines(multiple = gridl, color="blue")

        marker = list(['X','v','o'])
        colors = get_cmap(len(edf))

        for i in range(3): 
            for j in range(len(edf)):
                points = entcoords(edf[j].take([i]), scale)
                mk = marker[i]*len(edf) ; names = str(edf[i].index[i]+' with '+str(len(edf)-j)+' PC')

                if(i != 1):
                    tax.scatter(points, s = s_mk , marker = mk[j], color=colors(j), linewidth='0.1')
                
                else:
                    tax.scatter(points, s = s_mk , marker = mk[j], color ='white' , edgecolors = colors(j), linewidth='1.5')
                
        if(chart_title == ""):
            tax.set_title("Channel Multivariate entropies (CMET)", fontsize = fonts + 5)
        else:
            tax.set_title(chart_title, fontsize = fonts + 5)

        tax.left_axis_label(r"$ VI'_{P_\overline{XY}}$", fontsize=fonts)
        tax.right_axis_label(r"$ 2\cdot{I'_{P_\overline{XY}}}  $", fontsize=fonts)
        tax.bottom_axis_label(r"$\Delta H'_{P_\overline{XY}}$", fontsize=fonts)
       
        leg = list()
        leg.append(mpatches.Patch(color='white', label='Feature Type'))
        
        for i in range(len(edf)):leg.append(mpatches.Patch(color=colors(i), label=str(len(edf)-i)+' Principal Components'))
        leg.append(mpatches.Patch(color='white', label=''))
        leg.append(mpatches.Patch(color='white', label='Entropy types'))
    
        leg.append(mlines.Line2D([], [], color='grey', marker='X', linestyle='None',markersize=15, label='X')); leg.append(mlines.Line2D([], [], color='grey', marker='v', linestyle='None',markersize=15, label='Y')); leg.append(mlines.Line2D([], [], color='grey', marker='o', linestyle='None',markersize=15, label='XY'))


    tax.ticks(axis='lbr', linewidth=1, multiple = gridl , fontsize = ticks_size )
    tax.clear_matplotlib_ticks()
    
    if(all(hasCmetEntropicCoords(edf[l]) for l in range(len(edf)))):
        
        tax.legend(handles=leg, loc = 1 ,labelspacing = 1 , fontsize = 10)
    else:
        tax.legend(title = 'Features' ,labelspacing = 1.5 , fontsize = 12)
    
    
    tax.show()
    figure.savefig('plot.pdf')
    #return tax
Module for plotting the ET #Auxiliar functions Used for generating a set of random colors in order to differenciate the coordinates of each variable in the diagram.      A series of color maps can be applied (It will be randomly selected)      > colors_markers = get_cmap(len(df.index))      Parameters     ----------     number : Number of colours (1 per variable)      Returns     ----------     colors : Returns a set of colors for creating the scatter plot (matplotlib.colors.LinearSegmentedColormap) #cmaps = list(['Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds','YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu','GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn']) #filled_markers = ('o', '*','+', 'x','D') ; mk = list() Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)      > entropytriangle(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200                       ,gridl = 20 , ticks_size = 15 , pltscale = 20,                       chart_title = ""):      Parameters     ----------     edf : Dataframe with the entropic measures calculated     names : Used for plotting a list of Daframes (Defalut = NONE)              In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)     scale : Scale for the entropy triangle     fonts : Fontsize of the Labels     s_mk : Size of the marks for the triangle     gridl : Space between each gridline     tick_size: size of the numbers for the ticks     pltscale : Scale of the matplotlib window     chart_title: Plot´s title           Returns     ----------     points : painted points      Shows the triangle #SMET PLOT #CMET PLOT #return tax Function for creating and plotting points of the entropy triangle, independentlly of the type of triangle (CBET, SMET or CMET)     This function just work with LISTS of dataframes      > entropytriangle_list(edf,names = None, scale = 100 , fonts = 30 ,s_mk = 200                       ,gridl = 20 , ticks_size = 15 , pltscale = 20,                       chart_title = ""):      Parameters     ----------     edf : list of entropy dataframes      names : Used for plotting a list of Daframes (Defalut = NONE)              In case of list: Names of the dataframes (if empty, some names will be provided for the plotting)     scale : Scale for the entropy triangle     fonts : Fontsize of the Labels     s_mk : Size of the marks for the triangle     gridl : Space between each gridline     tick_size: size of the numbers for the ticks     pltscale : Scale of the matplotlib window     chart_title: Plot´s title           Returns     ----------     points : painted points      Shows the triangle #mk = markers(1)*len(edf[i].index) #mk = markers(1)*len(edf[i].index) ; #return tax