## test scale-freenes of a network

import networkx as nx
import numpy as np
import random
import argparse
from itertools import groupby,chain
from collections import defaultdict
import pandas as pd    
from .powerlaw import *
import matplotlib.pyplot as plt

def basic_pl_stats(degree_sequence):

    """
    :param degree sequence of individual nodes
    """

    results = Fit(degree_sequence,discrete=True)
    return (results.alpha,results.sigma)

def plot_power_law(degree_sequence,title,xlabel,plabel,ylabel="Number of nodes",formula_x=70,formula_y=0.05,show=True):

    plt.figure(2)  
    ax1 = plt.subplot(211)
    results = Fit(degree_sequence,discrete=True)

    a= results.power_law.pdf(degree_sequence)
    fig1 = results.plot_pdf(linewidth=1,color="black",label="Raw data",linear_bins=True,linestyle="",marker="o",markersize=1)
    results.power_law.plot_pdf(linewidth=1.5,ax=fig1,color="green",linestyle="--",label="Power law")
    results.lognormal.plot_pdf(linewidth=0.5,ax=fig1,color="blue",linestyle="-",label="Log-normal")
    results.truncated_power_law.plot_pdf(linewidth=0.5,ax=fig1,color="orange",linestyle="-",label="Truncated power law")
    results.exponential.plot_pdf(linewidth=0.5,ax=fig1,color="red",linestyle="-",label="Exponential")
    
    print ("ALPHA: ",results.alpha)
    print ("SIGMA: ",results.sigma)
    print ("xmin: ",results.xmin)
    
    print("percent of non PL coverage: {}".format(len([x for x in degree_sequence if x < results.xmin])*100/len(degree_sequence)))
    print("Percentage of PL coverage: {}".format(len([x for x in degree_sequence if x > results.xmin])*100/len(degree_sequence)))
    
    start = a[int(results.xmin)]
    k = results.xmin
    
    norm = int(round(start*len(degree_sequence)*100/pow(k,-results.alpha),0))
    
    # print ("Xm: ",results.fitting_cdf)
    # print ("n: ",results.n)
    
    print ("Fixed xmax: ",results.fixed_xmax)
    print(results.distribution_compare('truncated_power_law','lognormal'))
    print(results.distribution_compare('lognormal','power_law'))
    print(results.distribution_compare('truncated_power_law','power_law'))

    print ("............")
            
    print(results.distribution_compare('exponential','lognormal'))
    print(results.distribution_compare('exponential','truncated_power_law'))
    print(results.distribution_compare('exponential','power_law'))
    import matplotlib.ticker as mtick
    from matplotlib.ticker import ScalarFormatter, FormatStrFormatter
    plt.legend(numpoints=1,loc="lower left",bbox_to_anchor=(0.05, 0))
    vals = ax1.get_yticks()
    vals = [float(round(x*len(degree_sequence),1)) for x in vals]
    ax1.set_yticklabels(vals[0:6])
    plt.ylabel(ylabel)
    plt.axvline(x=results.xmin,color="black",linestyle="--")
    plt.ylim(0,0.1)
    ax1.text(formula_x, formula_y, r"$f(k) ="+str(norm)+" k^{-"+str(round(results.alpha,3))+"}$", fontsize=13)

    #    plt.xlabel(xlabel)
    #    plt.figure(3)

    ax1 = plt.subplot(212)
    plt.axvline(x=results.xmin,color="black",linestyle="--")
    plt.xlabel(xlabel)
    ax1.text(results.xmin+0.5, 0.001, r"$X_{min}$", fontsize=13)
    fig1 = results.plot_ccdf(linewidth=2,color="black",label="Raw data",linestyle="",marker="o",markersize=1)
    results.power_law.plot_ccdf(ax=fig1,color="green",linestyle="--",label="Power law",linewidth=1.5)
    results.lognormal.plot_ccdf(ax=fig1,color="blue",linestyle="-",label="Log-normal")
    results.truncated_power_law.plot_ccdf(ax=fig1,color="orange",linestyle="-",label="Truncated power law")
    results.exponential.plot_ccdf(ax=fig1,color="red",linestyle="-",label="Exponential",linewidth=0.5)    
    
#    ax1.set_xscale('log')
#    ax1.set_xticks([20,30,40,65])    
#    plt.xticks(x, [1,10,100,1000], rotation='vertical')

    import matplotlib.ticker as mtick
    plt.ylabel(r"$P(k) = Pr(K \geq k)$")
    #    plt.xlim(5,120)    

    if show:
        plt.show()


if __name__ == "__main__":

    G = nx.powerlaw_cluster_graph(1000,3,0.5,1573)
    val_vect = sorted(dict(nx.degree(G)).values(),reverse=True)
    plot_power_law(val_vect,"","Node degree","individual node")
