打印計數器

def flushPrint(variable):
    sys.stdout.write('\r')
    sys.stdout.write('%s' % variable)
    sys.stdout.flush()

單變量最小二乘（OLS）回歸擬合

def OLSRegressFit(x,y):
   xx = sm.add_constant(x, prepend=True)
   res = sm.OLS(y,xx).fit()
   constant, beta = res.params
   r2 = res.rsquared
   return [constant, beta, r2]

雙對數坐標系下線性回歸擬合畫圖（冪律函數）

def alloPlot(x,y,col,lab):
    lx = np.log(x+1)
    ly = np.log(y+1)
    xx = sm.add_constant(lx, prepend=True)
    res = sm.OLS(ly,xx).fit()
    constant, beta = res.params
    plt.plot(x,y, "o",color=col)
    plt.plot(x,np.exp(constant)*x**beta,color=col,label=lab+' '+str(np.round(beta,2)))

縱軸對數坐標下線性回歸擬合（指數函數）

def semilogPlot(x,y,col,lab):
    ly = np.log(y)
    xx = sm.add_constant(x, prepend=True)
    res = sm.OLS(ly,xx).fit()
    constant, beta = res.params
    plt.plot(x,y, "o",color=col)
    plt.plot(x,np.exp(constant+x*beta),color=col,label=lab+' '+str(np.round(beta,2)))

計算一個平衡過的流網絡從源到各節點的流距離

def flowDistanceFromSource(G): #input a balanced nx graph
    R = G.reverse()
    mapping = {'source':'sink','sink':'source'}
    H = nx.relabel_nodes(R,mapping)
    #---------initialize flow distance dict------
    L = dict((i,1) for i in G.nodes())
    #---------prepare weighted out-degree dict------
    T = G.out_degree(weight='weight')
    #---------iterate until converge------------
    ls = np.array(L.values())
    delta = len(L)*0.001 + 1
    k=0
    while delta > len(L)*0.001:
        k+=1
        if k>20:
            break
        for i in L:
            l=1
            for m,n in H.edges(i):
                l+=L[n]*H[m][n].values()[0]/float(T[m])
            L[i]=l
        delta = sum(np.abs(np.array(L.values()) - ls))
        ls = np.array(L.values())
    #---------clean the result-------
    del L['sink']
    for i in L:
        L[i]-=1
    L['sink'] = L.pop('source')
    L['source'] = 0
    return L

計算一個平衡過的流網絡從各節點到匯的流距離

def flowDistanceToSink(G): #input a balanced nx graph
    #---------initialize flow distance dict------
    L = dict((i,1) for i in G.nodes())
    #---------prepare weighted out-degree dict------
    T = G.out_degree(weight='weight')
    #---------iterate until converge------------
    ls = np.array(L.values())
    delta = len(L)*0.001 + 1
    k=0
    while delta > len(L)*0.001:
        k+=1
        if k>20:
            break
        for i in L:
            l=1
            for m,n in G.edges(i):
                l+=L[n]*G[m][n].values()[0]/float(T[m])
            L[i]=l
        delta = sum(np.abs(np.array(L.values()) - ls))
        ls = np.array(L.values())
    for i in L:
        L[i]-=1
    return L