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  • #!/usr/bin/env python3
    # -*- coding: utf-8 -*-
    """
    
    MNH_LIC Copyright 1994-2021 CNRS, Meteo-France and Universite Paul Sabatier
    MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
    MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
    MNH_LIC for details. version 1.
    
    """
    import matplotlib as mpl
    mpl.use('Agg')
    import matplotlib.pyplot as plt
    from matplotlib import cm
    from matplotlib.colors import ListedColormap
    import numpy as np
    
    import cartopy.feature as cfeature
    
    class PanelPlot():
        
        def __init__(self, nb_l, nb_c, Lfigsize, bigtitle, titlepad=40, minmaxpad=1.03, timepad=-0.06, lateralminmaxpad=0.86, 
    
                     labelcolorbarpad=6.0, colorbaraspect=20, colorbarpad=0.04, tickspad=0.8,
                     minmaxTextSize=10, bigtitleSize=13, titleSize=12,
                     xlabelSize=11, ylabelSize=11, timeSize=11, cbTicksLabelSize=11, cbTitleSize=11, xyTicksLabelSize=10, figBoxLinewidth=1,
                     xyTicksWidth=1, xyTicksLength=6):
    
            self.bigtitle = bigtitle       #  Panel title
            self.Lfigsize = Lfigsize       #  Panel size
            self.nb_l = nb_l               #  Panel number of lines
            self.nb_c = nb_c               #  Panel number of rows
    
            self.nb_graph = 0              #  New independent graph within the subplot
    
            self.titlepad = titlepad       #  Title pad (vertical shift) from graph
    
            self.tickspad = tickspad       #  Ticks pad (between ticks and axis label)
    
            self.minmaxpad = minmaxpad     #  Min/Max print pad (vertical shift)
            self.timepad = timepad         #  Time print pad (vertical shift)
            self.colorbarpad = colorbarpad #  Colorbar pad (horizontal shift from graph)
            self.lateralminmaxpad = lateralminmaxpad
    
            self.labelcolorbarpad = labelcolorbarpad #  Vertical colorbal label pad
            self.colorbaraspect = colorbaraspect     #  Ratio of long to short dimensions of colorbar w.r.t. the figure
    
            self.minmaxTextSize = minmaxTextSize     #  min/max text fontsize
            self.bigtitleSize = bigtitleSize         #  Panel title fontsize
            self.titleSize = titleSize               #  Graph title fontsize
            self.xlabelSize = xlabelSize             #  X-label fontsize
            self.ylabelSize = ylabelSize             #  Y-label fontsize
            self.timeSize = timeSize                 #  Time attribute of the graphs fontsize
            self.cbTicksLabelSize = cbTicksLabelSize #  Colorbar ticks label fontsize
            self.cbTitleSize = cbTitleSize           #  Colorbar title fontsize
            self.xyTicksLabelSize = xyTicksLabelSize #  X/Y ticks label fontsize
            self.figBoxLinewidth = figBoxLinewidth   #  Figure Box contour line width
    
            self.xyTicksWidth = xyTicksWidth   #  Ticks width
            self.xyTicksLength = xyTicksLength #  Ticks length 
    
    
            #  Initialization of the panel plots
            self.fig = plt.figure(figsize=(self.Lfigsize[0],self.Lfigsize[1]))
    
            self.fig.suptitle(self.bigtitle,fontsize=16)
    
    
        def save_graph(self, iplt, fig, fig_name='tempgraph'):
    
            Create a temporary png file of the panel plot which can be converted to PDF    
    
          """
          self.iplt = iplt
          self.fig = fig
    
          self.fig_name=fig_name   #  .png figure prefix name
    
          self.fig.savefig(self.fig_name+str(self.iplt))
    
          self.iplt+=1
          return self.iplt
        
        def draw_Backmap(self,drawCoastLines, ax, projo):
          """
            Handle drawing of the background plot (coastlines, departements, grid lines and labels)   
          """
          self.drawCoastLines = drawCoastLines
          self.projo = projo
          
    
          if 'PlateCarree' in str(projo):
            gl = ax.gridlines(crs=self.projo, draw_labels=True, linewidth=1, color='gray')
    
            if float(cartopy.__version__[:4]) >= 0.18:
              gl.top_labels = False
              gl.right_labels = False
            else:
              gl.xlabels_top = False
              gl.ylabels_right = False
    
          if self.drawCoastLines and 'GeoAxes' in str(type(ax)):
            ax.coastlines(resolution='10m')
            
            #  Countries border
            ax.add_feature(cfeature.BORDERS)
            ax.add_feature(cfeature.LAKES, alpha=0.7)
            
    
        def addWhitecm(self, colormap_in, nb_level,whiteTop=False):
            """
              Add a white color at the top (whiteTop=True) or bottom of the colormap w.r.t. the number of independent colors used
            """
    
            color_map = cm.get_cmap(colormap_in, 256)
            newcolor_map = color_map(np.linspace(0, 1, 256))
            whites = np.array([1, 1, 1, 1]) #RBG code + opacity
    
            if whiteTop:
                for i in range(int(256/nb_level)): newcolor_map[-i, :] = whites
            else:
                for i in range(int(256/nb_level)): newcolor_map[:i, :] = whites
    
            newcmp = ListedColormap(newcolor_map)
    
    
    
        def set_Title(self, ax, i, title, Lid_overlap, xlab, ylab):
          """
            Handle top title of each graph 
            Parameters :
                - titlepad : global attribute for vertical shift placement w.r.t the graph
          """
          self.ax = ax
          self.title = title
          self.Lid_overlap = Lid_overlap
          self.i = i
          #self.ax[self.i].set_xlabel("test", fontweight='bold')
          if not Lid_overlap: 
    
            self.ax[self.i].set_title(title, pad=self.titlepad, fontsize=self.titleSize)
    
          else:  #  If graph overlap, title is concatenated
            new_title = self.ax[self.i].get_title() + ' and ' + title
    
            self.ax[self.i].set_title(new_title, pad=self.titlepad, fontsize=self.titleSize)
    
    
        def set_xlim(self, ax, i, xlim):
          """
           Handle x limits plotted if necessary
          """
          self.ax = ax
          self.xlim = xlim
          self.i = i
          
    
          self.ax[self.i].set_xlim(xlim[0],xlim[1])#, fontsize=self.xlabelSize)
    
          
        def set_ylim(self, ax, i, ylim):
          """
           Handle x limits plotted if necessary
          """
          self.ax = ax
          self.ylim = ylim
          self.i = i
          
    
          self.ax[self.i].set_ylim(ylim[0],ylim[1])#, fontsize=self.ylabelSize)
    
    
        def set_XYaxislab(self, ax, i, xlab, ylab):
          """
            Handle x and y axis labels
          """
          self.ax = ax
          self.xlab = xlab
          self.ylab = ylab
          self.i = i
    
          #  This handing label is a known issue with GeoAxes of cartopy 
          #  https://stackoverflow.com/questions/35479508/cartopy-set-xlabel-set-ylabel-not-ticklabels
          #  https://github.com/SciTools/cartopy/issues/1332
          if 'GeoAxes' in str(type(self.ax[self.i])):
            self.ax[self.i].text(-0.11, 0.45, ylab, verticalalignment='top', horizontalalignment='left',
    
                  rotation='vertical', rotation_mode='anchor',  transform=self.ax[self.i].transAxes, color='black', fontsize=self.ylabelSize)
    
            self.ax[self.i].text(0.45, -0.06, xlab, verticalalignment='top', horizontalalignment='left',
    
                 rotation='horizontal', rotation_mode='anchor',  transform=self.ax[self.i].transAxes, color='black', fontsize=self.xlabelSize)
    
             self.ax[self.i].set_xlabel(xlab, fontsize=self.xlabelSize, labelpad=0.1)
             self.ax[self.i].set_ylabel(ylab, fontsize=self.ylabelSize, labelpad=0.1)
    
        def addLine(self, ax, beg_coord, end_coord, color='black', linewidth=0.2):
    
          self.ax = ax
          self.beg_coord = beg_coord
          self.end_coord = end_coord
          self.color = color
          self.linewidth = linewidth
                
          x1, y1 = [self.beg_coord[0],self.end_coord[0]], [self.beg_coord[1], self.end_coord[1]]
          ax.plot(x1, y1,color=self.color,linewidth=self.linewidth)
    
        def print_minmax(self, var, title):
            print(str(title) + "   min = " + str(np.nanmin(var)) + "  max = " + str(np.nanmax(var)))
    
        def set_minmaxText(self, ax, i, var, title, Lid_overlap, facconv):
          """
            Show min and max value Text in the plot
            If overlap variable, text is align to the right
            TODO : handle more than 2 overlap variables
          """    
          self.ax = ax
          self.var = var
          self.i = i
          self.title = title
          self.facconv = facconv
          
          strtext = "   min = " + "{:.3e}".format(np.nanmin(var*facconv)) + "  max = " + "{:.3e}".format(np.nanmax(var*facconv))
          if not Lid_overlap:
            self.ax[self.i].text(0.01, self.minmaxpad, strtext, verticalalignment='top', horizontalalignment='left',
    
              transform=self.ax[self.i].transAxes, color='black', fontsize=self.minmaxTextSize)
    
          else:
            self.ax[self.i].text(self.lateralminmaxpad, self.minmaxpad, strtext, verticalalignment='top', horizontalalignment='right',
    
              transform=self.ax[self.i].transAxes, color='black', fontsize=self.minmaxTextSize)    
    
          #  Print to help choose min/max value for ticks
          self.print_minmax(var*facconv, title)
          
        def showTimeText(self, ax, i, timetxt):
          """
            Show time validity
          """    
          self.ax = ax
          self.i = i
          self.timetxt = timetxt
          
          strtext = "Time = " + timetxt
          self.ax[self.i].text(0.0, self.timepad, strtext, verticalalignment='top', horizontalalignment='left',
    
              transform=self.ax[self.i].transAxes, color='black', fontsize=self.timeSize)
    
    
    
        def psectionV(self, Lxx=[], Lzz=[], Lvar=[], Lxlab=[], Lylab=[], Ltitle=[], Lminval=[], Lmaxval=[], 
                     Lstep=[], Lstepticks=[], Lcolormap=[], Lcbarlabel=[], LcolorLine=[],
    
                     Lfacconv=[], ax=[], Lid_overlap=[], colorbar=True, orog=[], Lxlim=[], Lylim=[], Ltime=[], Lpltype=[], LaddWhite_cm=[], LwhiteTop=[]):
    
          """
            Horizontal cross section plot
    
                - Lxx    : List of x or y coordinate variable or time axis
                - Lzz    : List of z coordinates variable
                - Lvar   : List of variables to plot
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Lxlim  : List of x (min, max) value plotted
                - Lylim  : List of y (min, max) value plotted
                - Ltime  : List of time (validity)
                - Ltitle : List of sub-title
                - Lminval: List of minimum value for each colorbar
                - Lmaxval: List of maximum value for each colorbar
                - Lstep  : List of color-steps for each colorbar
                - Lstepticks : List of value of labels for each colorbar
                - Lcolormap  : List of colormap
                - LcolorLine : List of colors for colors arg of contour (color line only)
                - Lcbarlabel : List of colorbar label legend (units)
                - Lfacconv   : List of factors for unit conversion of each variables
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap: List of number index of plot to overlap current variables
    
                - Lpltype    : List of types of plot 'cf' or 'c'. cf=contourf, c=contour (lines only)
    
                - colorbar   : show colorbar or not
    
                - LaddWhite_cm : List of boolean to add white color to a colormap at the last bottom (low value) tick colorbar
                - LwhiteTop    : List of boolean to add the white color at the first top (high value). If false, the white is added at the bottom if Laddwhite_cm=T
    
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          
          # Initialize default value w.r.t to the number of plots
    #      D={'Lxlab':Lxlab, 'Lylab':Lylab, 'Ltitle':Ltitle,'Lminval':Lminval, 'Lmaxval':Lmaxval, 
    #         'Lstep':Lstep, 'Lstepticks':Lstepticks, 'Lcolormap':Lcolormap, 'Lcbarlabel':Lcbarlabel, 'Lfacconv':Lfacconv, 'Ltime':Ltime,
    #         'LaddWhite_cm':LaddWhite_cm, 'Lpltype':Lpltype}
    #      D = initialize_default_val(Lvar, D)
    
          #  Default values
          if not Lfacconv: Lfacconv = [1.0]*len(Lvar)
          if not Lcolormap and not LcolorLine: Lcolormap=['gist_rainbow_r']*len(Lvar) #  If no color given, a cmap is given
          if not Lcolormap: LcolorLine=['black']*len(Lvar)
          if not Lpltype: Lpltype=['cf']*len(Lvar)
          if not LaddWhite_cm: LaddWhite_cm=[False]*len(Lvar)
    
          if not LwhiteTop: LwhiteTop=[False]*len(Lvar)            
    
          if not Lylab: Lylab = ['']*len(Lvar)
          if not Lxlab: Lxlab = ['']*len(Lvar)    
          #  Add an extra percentage of the top max value for forcing the colorbar show the true user maximum value (correct a bug)
          Lmaxval = list(map(lambda x, y: x + 1E-6*y, Lmaxval, Lstep) ) #The extra value is 1E-6 times the step ticks of the colorbar
        
          #  On all variables to plot
          for i,var in enumerate(Lvar):
            if firstCall: #1st call
              iax = i
              self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1))
              self.nb_graph+=1
            elif Lid_overlap != []: #overlapping plot
              iax = Lid_overlap[i]
            else: #existing ax with no overlapping (graphd appended to existing panel)
              self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
              self.nb_graph+=1
              iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
              
            #  Colors normalization
            norm = mpl.colors.Normalize(vmax=Lmaxval[i], vmin=Lminval[i])
    
            #  Print min/max (stout and on plot)
            self.set_minmaxText(self.ax, iax, var, Ltitle[i], Lid_overlap, Lfacconv[i])
            
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
    
            # Number of contours level
            if not Lstep[i]: #  Default value of number of steps is 20
                Lstep[i] = (Lmaxval[i] - Lminval[i])/20  
                Lstepticks[i] = Lstep[i]
            
            levels_contour = np.arange(Lminval[i],Lmaxval[i],step=Lstep[i])
            
            #  Add White to colormap
    
            if LaddWhite_cm[i] and Lcolormap: Lcolormap[i]=self.addWhitecm(Lcolormap[i], len(levels_contour), LwhiteTop[i])
    
            
            #  Plot
            if Lpltype[i]=='c': #  Contour
                if LcolorLine:
                    cf = self.ax[iax].contour(Lxx[i], Lzz[i], var*Lfacconv[i], levels=levels_contour, 
    
                                    norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], colors=LcolorLine[i], linewidths=0.1)
    
                else:
                    cf = self.ax[iax].contour(Lxx[i], Lzz[i], var*Lfacconv[i], levels=levels_contour, 
    
                                    norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], cmap=Lcolormap[i], linewidths=0.1)                    
    
            else:  #  Contourf
              cf = self.ax[iax].contourf(Lxx[i], Lzz[i], var*Lfacconv[i], levels=levels_contour, 
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], cmap=Lcolormap[i])            
       
            #  Title
            self.set_Title(self.ax, iax, Ltitle[i], Lid_overlap,Lxlab[i], Lylab[i])
        
            #  X/Y Axis label
            self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
    
      
            #  Ticks label 
            self.ax[iax].tick_params(axis='both', labelsize=self.xyTicksLabelSize, width=self.xyTicksWidth, length=self.xyTicksLength, pad=self.tickspad)
            
            #  Bounding box of the plot line width
            for axis in ['top','bottom','left','right']:
              self.ax[iax].spines[axis].set_linewidth(self.figBoxLinewidth)
    
            
            # X/Y Axis limits value
            if Lxlim:
              try:
                self.set_xlim(self.ax, iax, Lxlim[i])
              except:
                 pass
            if Lylim:
              try:
                self.set_ylim(self.ax, iax, Lylim[i])
              except:
                  pass
              
    
            if Lpltype[i]=='c': #  Contour
    
                self.ax[iax].clabel(cf, fontsize=self.cbTicksLabelSize)
                #self.ax[iax].clabel(cf, levels=np.arange(Lminval[i],Lmaxval[i],step=Lstep[i]), fontsize=self.cbTicksLabelSize) #TODO bug, levels not recognized
    
            #Filling area under topography
            if not orog==[]:
    
              self.ax[iax].fill_between(Lxx[i][0,:], orog, color='black', linewidth=0.2)
    
            
            #  Colorbar
            if colorbar:
              cb=plt.colorbar(cf, ax=self.ax[iax], fraction=0.031, pad=self.colorbarpad, ticks=np.arange(Lminval[i],Lmaxval[i],Lstepticks[i]), aspect=self.colorbaraspect)   
    
              cb.ax.set_title(Lcbarlabel[i], pad=self.labelcolorbarpad, loc='left', fontsize=self.cbTitleSize) # This creates a new AxesSubplot only for the colorbar y=0 ==> location at the bottom
    
        def pXY_lines(self, Lxx=[], Lyy=[], Lxlab=[], Lylab=[], Ltitle=[], Llinetype=[], Llinewidth=[],
                     Llinecolor=[], Llinelabel=[], LfacconvX=[], LfacconvY=[], ax=[], id_overlap=None, Lxlim=[], 
    
                     Lylim=[], Ltime=[], LaxisColor=[]):
          """
            XY (multiple)-lines plot
    
                - Lxx    : List of variables to plot or coordinates along the X axis
    
                - Lyy    : List of variables to plot or coordinates along the Y axis
    
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Lxlim  : List of x (min, max) value plotted
                - Lylim  : List of y (min, max) value plotted
                - Ltime  : List of time (validity)
                - Ltitle : List of sub-title
                - Llinewidth : List of lines thickness
                - Llinetype  : List of line types
                - Lcolorlines: List of color lines
                - Llinelabel : List of legend label lines
    
                - LfacconvX/Y: List of factors for unit conversion of the variables/coordinates to plot on X and Y axis
    
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap: List of number index of plot to overlap current variables
                - LaxisColor : List of colors for multiple x-axis overlap
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          #  Defaults value convert to x number of variables list
    
          if not LfacconvX:   LfacconvX = [1.0]*len(Lxx)
          if not LfacconvY:   LfacconvY = [1.0]*len(Lxx)
          if not Llinewidth: Llinewidth = [1.0]*len(Lxx)
          if not Llinecolor: Llinecolor = ['blue']*len(Lxx)
          if not Llinetype:  Llinetype = ['-']*len(Lxx)
          if not Llinelabel: Llinelabel = ['']*len(Lxx)
          if not LaxisColor: LaxisColor = ['black']*len(Lxx)
          if not Lylab: Lylab = ['']*len(Lxx)
          if not Lxlab: Lxlab = ['']*len(Lxx)
    
        
          if firstCall: #  1st call
            iax = 0
            self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,1, label='graph axe x down'))
            self.nb_graph+=1
          elif id_overlap: #  overlapping plot with a different x-axis
            self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph, label='graph axe x top',frame_on=False))
            iax = len(self.ax)-1
          else: #  existing ax with no overlapping (graph appended to existing panel)
            self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
            self.nb_graph+=1
            iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
              
          #  On all variables to plot
    
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
    
            #  Plot
    
            cf = self.ax[iax].plot(Lxx[i]*LfacconvX[i], Lyy[i]*LfacconvY[i], color=Llinecolor[i], ls=Llinetype[i], 
    
                        label=Llinelabel[i], linewidth=Llinewidth[i])
            #  Legend
            #TODO : Handling legend with overlap two axis lines in the same box. For now, placement is by hand
            if not id_overlap: 
              self.ax[iax].legend(loc='upper right', bbox_to_anchor=(1, 0.95))
            else:
              self.ax[iax].legend(loc='upper right', bbox_to_anchor=(1, 0.90))
    
            #  Title
            if Ltitle: self.set_Title(self.ax, iax, Ltitle[i], id_overlap,Lxlab[i], Lylab[i])
        
            #  X/Y Axis label
            if id_overlap: 
              self.ax[iax].xaxis.tick_top()
              self.ax[iax].xaxis.set_label_position('top') 
              self.ax[iax].set_xlabel(Lxlab[i])
              self.ax[iax].set_ylabel(Lylab[i])
            else:
              self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
              
            self.ax[iax].tick_params(axis='x', colors=LaxisColor[i]) 
    
            # X/Y Axis limits value
            if Lxlim:
              try:
                self.set_xlim(self.ax, iax, Lxlim[i])
              except:
                 pass
            if Lylim:
              try:
                self.set_ylim(self.ax, iax, Lylim[i])
              except:
                  pass
          return self.fig
        
        def psectionH(self, lon=[],lat=[], Lvar=[], Lcarte=[], Llevel=[], Lxlab=[], Lylab=[], Ltitle=[], Lminval=[], Lmaxval=[], 
                     Lstep=[], Lstepticks=[], Lcolormap=[], LcolorLine=[], Lcbarlabel=[], Lproj=[], Lfacconv=[], coastLines=True, ax=[], 
    
                     Lid_overlap=[], colorbar=True, Ltime=[], LaddWhite_cm=[], LwhiteTop=[], Lpltype=[], Lcbformatlabel=[]):
    
          """
            Horizontal cross section plot
    
                - lon    : longitude 2D array
                - lat    : latitude 2D array
                - Lvar   : List of variables to plot
                - Lcarte : Zooming [lonmin, lonmax, latmin, latmax]
                - Llevel : List of k-level value for the section plot (ignored if variable is already 2D)
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Ltitle : List of sub-title
                - Ltime  : List of time (validity)
                - Lminval: List of minimum value for each colorbar
                - Lmaxval: List of maximum value for each colorbar
                - Lstep  : List of color-steps for each colorbar
                - Lstepticks : List of value of labels for each colorbar
                - Lcolormap  : List of colormap
                - LcolorLine : List of colors for colors arg of contour (color line only)
                - Lcbarlabel : List of colorbar label legend (units)
                - Lproj      : List of ccrs cartopy projection ([] for cartesian coordinates)
                - Lfacconv   : List of factors for unit conversion of each variables
                - coastLines : Boolean to plot coast lines and grid lines
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap : List of number index of plot to overlap current variables
                - colorbar   : show colorbar or not
                - Lpltype      : List of types of plot 'cf' or 'c'. cf=contourf, c=contour (lines only)
                - LaddWhite_cm : List of boolean to add white color to a colormap at the first (low value) tick colorbar
    
                - LwhiteTop    : List of boolean to add the white color at the first top (high value). If false, the white is added at the bottom if Laddwhite_cm=T            
    
                - Lcbformatlabel: List of boolean to reduce the format to exponential 1.1E+02 format colorbar label
    
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          
          # Initialize default value w.r.t to the number of plots
    #      D={'lon':lon, 'lat':lat, 'Lcarte':Lcarte, 'Llevel':Llevel, 'Lxlab':Lxlab, 'Lylab':Lylab, 'Ltitle':Ltitle,'Lminval':Lminval, 'Lmaxval':Lmaxval, 
    #         'Lstep':Lstep, 'Lstepticks':Lstepticks, 'Lcolormap':Lcolormap, 'Lcbarlabel':Lcbarlabel, 'Lproj':Lproj, 'Lfacconv':Lfacconv, 'Ltime':Ltime,
    #         'LaddWhite_cm':LaddWhite_cm, 'Lpltype':Lpltype}
    #      D = initialize_default_val(Lvar, D)
          
          #  If all plots are not using conversion factor, convert it to List
          if not Lfacconv: Lfacconv = [1.0]*len(Lvar)
          if not Lylab: Lylab = ['']*len(Lvar)
          if not Lxlab: Lxlab = ['']*len(Lvar)
          if not Lcolormap and not LcolorLine: Lcolormap=['gist_rainbow_r']*len(Lvar) #  If no color given, a cmap is given
          if not Lcolormap: LcolorLine=['black']*len(Lvar)
          if not Lpltype: Lpltype=['cf']*len(Lvar)
          if not LaddWhite_cm: LaddWhite_cm=[False]*len(Lvar)
    
          if not LwhiteTop: LwhiteTop=[False]*len(Lvar)      
    
          if not Lcbformatlabel: Lcbformatlabel=[False]*len(Lvar)
    
          #  Add an extra percentage of the top max value for forcing the colorbar show the true user maximum value (correct a bug)
          if Lstep: Lmaxval = list(map(lambda x, y: x + 1E-6*y, Lmaxval, Lstep) ) #The extra value is 1E-6 times the step ticks of the colorbar
        
          #  This following must be after the extra percentage top value addition
          if not Lstep: Lstep=[None]*len(Lvar)
          if not Lstepticks: Lstepticks=[None]*len(Lvar)
    
          #  On all variables to plot
          for i,var in enumerate(Lvar):
            if firstCall: #1st call
              iax = i
              if Lproj:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1, projection = Lproj[i]))
              else: # Cartesian coordinates
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1))
              self.nb_graph+=1
            elif Lid_overlap != []: #overlapping plot
              iax = Lid_overlap[i]
            else: #existing ax with no overlapping (graphd appended to existing panel)
              if Lproj:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1, projection = Lproj[i]))
              else: # Cartesian coordinates
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
              self.nb_graph+=1
              iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
    
            #Colors normalization
            norm = mpl.colors.Normalize(vmax=Lmaxval[i], vmin=Lminval[i])
            
            #  Zooming
            if len(Lcarte) == 4: #zoom
              self.ax[iax].set_xlim(Lcarte[0], Lcarte[1])
              self.ax[iax].set_ylim(Lcarte[2], Lcarte[3])
            #  Variable to plot w.r.t dimensions
            if var.ndim==2:
              vartoPlot = var[:,:]
            else:
              vartoPlot = var[Llevel[i],:,:]
        
            #  Print min/max (stout and on plot)
            self.set_minmaxText(self.ax, iax, vartoPlot, Ltitle[i], Lid_overlap, Lfacconv[i])
            
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
            
            # Number of contours level
            if not Lstep[i]: #  Default value of number of steps is 20
                Lstep[i] = (Lmaxval[i] - Lminval[i])/20  
                Lstepticks[i] = Lstep[i]
            
            levels_contour = np.arange(Lminval[i],Lmaxval[i],step=Lstep[i])
            
            #  Add White to colormap
    
            if LaddWhite_cm[i] and Lcolormap: Lcolormap[i]=self.addWhitecm(Lcolormap[i], len(levels_contour), LwhiteTop[i])
    
            #  Plot
            if Lproj:
              if Lpltype[i]=='c': #  Contour
                  if LcolorLine:
    
                      cf = self.ax[iax].contour(lon[i], lat[i], vartoPlot*Lfacconv[i], levels=levels_contour,transform=Lproj[i], 
    
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], colors=LcolorLine[i])
                  else:
    
                      cf = self.ax[iax].contour(lon[i], lat[i], vartoPlot*Lfacconv[i], levels=levels_contour,transform=Lproj[i], 
    
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], cmap=Lcolormap[i])
              else:
                cf = self.ax[iax].contourf(lon[i], lat[i], vartoPlot*Lfacconv[i], levels=levels_contour,transform=Lproj[i], 
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], cmap=Lcolormap[i])
            else: # Cartesian coordinates
              if Lpltype[i]=='c': #  Contour
    
                cf = self.ax[iax].contour(lon[i], lat[i], vartoPlot*Lfacconv[i], levels=levels_contour, 
    
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], colors=LcolorLine[i])
              else:
                cf = self.ax[iax].contourf(lon[i], lat[i], vartoPlot*Lfacconv[i], levels=levels_contour, 
                             norm=norm, vmin=Lminval[i], vmax=Lmaxval[i], cmap=Lcolormap[i])
            #  Title
            self.set_Title(self.ax, iax, Ltitle[i], Lid_overlap,Lxlab[i], Lylab[i])
            
            #  Coastlines / Grid lines and labels
            if Lproj: self.draw_Backmap(coastLines, self.ax[iax], Lproj[i])
        
            #  X/Y Axis
            self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
            
    
            if Lpltype[i]=='c': #  Contour
    
              if 'GeoAxes' in str(type(self.ax[self.i])): # cartopy does not like the levels arguments in clabel, known issue
    
                self.ax[iax].clabel(cf, fontsize=self.cbTicksLabelSize)
    
                self.ax[iax].clabel(cf, levels=np.arange(Lminval[i],Lmaxval[i],step=Lstep[i]), fontsize=self.cbTicksLabelSize)
    
              cb=plt.colorbar(cf, ax=self.ax[iax], fraction=0.031, pad=self.colorbarpad, ticks=np.arange(Lminval[i],Lmaxval[i],Lstepticks[i]), aspect=self.colorbaraspect) 
    
              cb.ax.set_title(Lcbarlabel[i], pad = self.labelcolorbarpad, loc='left', fontsize=self.cbTitleSize) #This creates a new AxesSubplot only for the colorbar y=0 ==> location at the bottom
    
              if Lcbformatlabel[i]: cb.ax.set_yticklabels(["{:.1E}".format(i) for i in cb.get_ticks()])
    
            
          return self.fig
        
        def pvector(self, Lxx=[], Lyy=[], Lvar1=[], Lvar2=[], Lcarte=[], Llevel=[], Lxlab=[], Lylab=[], 
                    Ltitle=[], Lwidth=[], Larrowstep=[], Lcolor=[], Llegendval=[], Lcbarlabel=[], 
                    Lproj=[], Lfacconv=[], ax=[], coastLines=True, Lid_overlap=[], Ltime=[], Lscale=[],
                    Lylim=[], Lxlim=[]):
          """
            Horizontal vectors lines
    
                - Lxx    : List of x or y coordinate variable (lat or ni or nm)
                - Lyy    : List of y coordinates variable (lon or level)
                - Lvar1   : List of wind-component along x/y or oblic axis (3D for hor. section, 2D for vertical section)
                - Lvar2   : List of wind-component along y-axis : v-component for horizontal section / w-component for vertical section
                - Lcarte : Zooming [lonmin, lonmax, latmin, latmax]
                - Llevel : List of k-level value for the horizontal section plot (ignored if variable is already 2D)
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Lxlim  : List of x (min, max) value plotted
                - Lylim  : List of y (min, max) value plotted
                - Ltitle : List of sub-titles
                - Ltime  : List of time (validity)
                - Lwidth : List of thickness of the arrows
                - Lscale : List of scale for the length of the arrows (high value <=> small length)
                - Larrowstep : List of sub-sample (frequency) if too much arrows
                - Lcolor : List of colors for the arrows (default: black)
                - Llegendval : List of value for the legend of the default arrow
                - Lcbarlabel : List of labels for the legend of the default arrow
                - Lproj      : List of ccrs cartopy projection
                - Lfacconv   : List of factors for unit conversion of each variables
                - coastLines : Boolean to plot coast lines and grid lines
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap : List of number index of plot to overlap current variables
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          # If all plots are not using conversion factor, convert it to List
          if not Lfacconv:  Lfacconv = [1.0]*len(Lvar1)
          if not Lcolor: Lcolor = ['black']*len(Lvar1)
          if not Lscale : Lscale = [None]*len(Lvar1)
          if not Lylab: Lylab = ['']*len(Lvar1)
          if not Lxlab: Lxlab = ['']*len(Lvar1)
          #  On all variables to plot
          for i,var1 in enumerate(Lvar1):
            if firstCall: #1st call
              iax = i
              if Lproj: 
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1, projection = Lproj[i]))
              else:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1))
              self.nb_graph+=1
            elif Lid_overlap != []: #overlapping plot
              iax = Lid_overlap[i]
            else: #existing ax with no overlapping (graphd appended to existing panel)
              if Lproj:  
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1, projection = Lproj[i]))
              else:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
              self.nb_graph+=1
              iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
              
            #  Zooming
            if len(Lcarte) == 4: #zoom
              self.ax[iax].set_xlim(Lcarte[0], Lcarte[1])
              self.ax[iax].set_ylim(Lcarte[2], Lcarte[3])
            
            #  Variable to plot w.r.t dimensions
            if var1.ndim==2:
              vartoPlot1 = var1[:,:]
              vartoPlot2 = Lvar2[i][:,:]
            else: #  Variable is 3D : only for horizontal section
              vartoPlot1 = var1[Llevel[i],:,:]
              vartoPlot2 = Lvar2[i][Llevel[i],:,:]
            
            #  Print min/max val to help choose colorbar steps
            self.set_minmaxText(self.ax, iax, np.sqrt(vartoPlot1**2 + vartoPlot2**2), Ltitle[i], Lid_overlap, Lfacconv[i])
            
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
    
            #  Plot
            axeX = Lxx[i]
            axeY = Lyy[i]
            if Lxx[i].ndim == 2:
              cf = self.ax[iax].quiver(axeX[::Larrowstep[i],::Larrowstep[i]], axeY[::Larrowstep[i],::Larrowstep[i]], 
                           vartoPlot1[::Larrowstep[i],::Larrowstep[i]], vartoPlot2[::Larrowstep[i],::Larrowstep[i]],
                           width=Lwidth[i] ,angles='uv', color=Lcolor[i],scale=Lscale[i])
            else:
              cf = self.ax[iax].quiver(axeX[::Larrowstep[i]], axeY[::Larrowstep[i]], 
                           vartoPlot1[::Larrowstep[i],::Larrowstep[i]], vartoPlot2[::Larrowstep[i],::Larrowstep[i]],
                           width=Lwidth[i] ,angles='uv', color=Lcolor[i], scale=Lscale[i]) 
            #  Title
            self.set_Title(self.ax, iax, Ltitle[i], Lid_overlap,Lxlab[i], Lylab[i])
    
            #  X/Y Axis Label
            self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
            
            # X/Y Axis limits value
            if Lxlim:
              try:
                self.set_xlim(self.ax, iax, Lxlim[i])
              except:
                 pass
            if Lylim:
              try:
                self.set_ylim(self.ax, iax, Lylim[i])
              except:
                  pass
            
            #  Coastlines:
            if Lproj: self.draw_Backmap(coastLines, self.ax[iax], Lproj[i])
        
            # Arrow legend key
            qk = self.ax[iax].quiverkey(cf, 1.0, -0.05, Llegendval[i], str(Llegendval[i]) + Lcbarlabel[i], labelpos='E', color='black')
               
          return self.fig
    
    
        def pstreamline(self, Lxx=[], Lyy=[], Lvar1=[], Lvar2=[], Lcarte=[], Llevel=[], Lxlab=[], Lylab=[], Llinewidth=[], Ldensity=[],
                    Ltitle=[], Lcolor=[], Lproj=[], Lfacconv=[], ax=[], coastLines=True, Lid_overlap=[], Ltime=[],
                    Lylim=[], Lxlim=[]):
          """
            Wind stream lines
    
                - Lxx    : List of x or y coordinate variable (lat or ni or nm)
                - Lyy    : List of y coordinates variable (lon or level)
                - Lvar1   : List of wind-component along x/y or oblic axis (3D for hor. section, 2D for vertical section)
                - Lvar2   : List of wind-component along y-axis : v-component for horizontal section / w-component for vertical section
                - Lcarte : Zooming [lonmin, lonmax, latmin, latmax]
                - Llevel : List of k-level value for the horizontal section plot (ignored if variable is already 2D)
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Lxlim  : List of x (min, max) value plotted
                - Lylim  : List of y (min, max) value plotted
                - Ltitle : List of sub-titles
                - Ltime  : List of time (validity)
                - Llinewidth : List of lines thickness
                - Ldensity   : List of density that control the closeness of streamlines
                - Lcolor : List of colors for the streamline (default: black)
                - Lproj      : List of ccrs cartopy projection
                - Lfacconv   : List of factors for unit conversion of each variables
                - coastLines : Boolean to plot coast lines and grid lines
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap : List of number index of plot to overlap current variables
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          # If all plots are not using conversion factor, convert it to List
          if not Lfacconv:  Lfacconv = [1.0]*len(Lvar1)
          if not Lcolor: Lcolor = ['black']*len(Lvar1)
          if not Lylab: Lylab = ['']*len(Lvar1)
          if not Lxlab: Lxlab = ['']*len(Lvar1)
          if not Llinewidth: Llinewidth = [1.0]*len(Lvar1)
          if not Ldensity: Ldensity = [1.0]*len(Lvar1)
          
          #  On all variables to plot
          for i,var1 in enumerate(Lvar1):
            if firstCall: #1st call
              iax = i
              if Lproj: 
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1, projection = Lproj[i]))
              else:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1))
              self.nb_graph+=1
            elif Lid_overlap != []: #overlapping plot
              iax = Lid_overlap[i]
            else: #existing ax with no overlapping (graphd appended to existing panel)
              if Lproj:  
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1, projection = Lproj[i]))
              else:
                self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
              self.nb_graph+=1
              iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
              
            #  Zooming
            if len(Lcarte) == 4: #zoom
              self.ax[iax].set_xlim(Lcarte[0], Lcarte[1])
              self.ax[iax].set_ylim(Lcarte[2], Lcarte[3])
            
            #  Variable to plot w.r.t dimensions
            if var1.ndim==2:
              vartoPlot1 = var1[:,:]
              vartoPlot2 = Lvar2[i][:,:]
            else: #  Variable is 3D : only for horizontal section
              vartoPlot1 = var1[Llevel[i],:,:]
              vartoPlot2 = Lvar2[i][Llevel[i],:,:]
            
            #  Print min/max val to help choose steps
            self.set_minmaxText(self.ax, iax, np.sqrt(vartoPlot1**2 + vartoPlot2**2), Ltitle[i], Lid_overlap, Lfacconv[i])
            
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
    
            #  Plot      
            cf = self.ax[iax].streamplot(Lxx[i], Lyy[i], vartoPlot1, vartoPlot2, density=Ldensity[i], linewidth=Llinewidth[i], color=Lcolor[i])
            
            #  Title
            self.set_Title(self.ax, iax, Ltitle[i], Lid_overlap,Lxlab[i], Lylab[i])
    
            #  X/Y Axis Label
            self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
            
            # X/Y Axis limits value
            if Lxlim:
              try:
                self.set_xlim(self.ax, iax, Lxlim[i])
              except:
                 pass
            if Lylim:
              try:
                self.set_ylim(self.ax, iax, Lylim[i])
              except:
                  pass
            
            #  Coastlines:
            if Lproj: self.draw_Backmap(coastLines, self.ax[iax], Lproj[i])
               
          return self.fig
      
    
        def pXY_bar(self, Lbins=[], Lvar=[], Lxlab=[], Lylab=[], Ltitle=[], Lcolor=[], Lwidth=[],
                     Llinecolor=[], Llinewidth=[], Lfacconv=[], ax=[], id_overlap=None, Lxlim=[], 
                     Lylim=[], Ltime=[], LaxisColor=[]):
          """
            XY Histogram
    
                - Lbins    : List of bins
                - Lvar   : List of the value for each bin
                - Lxlab  : List of x-axis label
                - Lylab  : List of y-axis label
                - Ltitle : List of sub-title
                - Lcolor : List of color (or sequence of colors for each value) of the bars
                - Lwidth     : List of width of the bars
                - Llinecolor  : List of line color of the bar edges
                - Llinewidth  : List of lines thickness of the bar edges
                - Lfacconv   : List of factors for unit conversion of each variables
                - Lxlim  : List of x (min, max) value plotted
                - Lylim  : List of y (min, max) value plotted
                - Ltime  : List of time (validity)
                - ax         : List of fig.axes for ploting multiple different types of plots in a subplot panel
                - Lid_overlap: List of number index of plot to overlap current variables
                - LaxisColor : List of colors for multiple x-axis overlap
          """
          self.ax = ax
          firstCall = (len(self.ax) == 0)
          #  Defaults value convert to x number of variables list
          if not Lfacconv: Lfacconv = [1.0]*len(Lvar)
          if not LaxisColor: LaxisColor = ['black']*len(Lvar)
          if not Lylab: Lylab = ['']*len(Lvar)
          if not Lxlab: Lxlab = ['']*len(Lvar)
          if not Lcolor: Lcolor = ['black']*len(Lvar)
          if not Lwidth: Lwidth = [1]*len(Lvar)
          if not Llinecolor: Llinecolor = ['black']*len(Lvar)
          if not Llinewidth: Llinewidth = [0]*len(Lvar)
                 
          #  On all variables to plot
          for i,var in enumerate(Lvar):
            if firstCall: #  1st call
              iax = i
              self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,i+1, label='graph axe x down'))
              self.nb_graph+=1
            elif id_overlap: #  overlapping plot with a different x-axis
              self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph, label='graph axe x top',frame_on=False))
              iax = len(self.ax)-1
            else: #  existing ax with no overlapping (graph appended to existing panel)
              self.ax.append(self.fig.add_subplot(self.nb_l,self.nb_c,self.nb_graph+1))
              self.nb_graph+=1
              print(len(self.ax))
              iax = len(self.ax)-1 #  The ax index of the new coming plot is the length of the existant ax -1 for indices matter
           
            #  Print time validity
            if Ltime: self.showTimeText(self.ax, iax, str(Ltime[i]))
    
            #  Bins by labels
            labels = np.array([str(L) for L in Lbins[i]])
    
            #  Plot
            cf = self.ax[iax].bar(labels, var*Lfacconv[i], width=Lwidth[i], color=Lcolor[i], linewidth=Llinewidth[i], edgecolor=Llinecolor[i])        
                   
            #  Legend
            #TODO : Handling legend with overlap two axis lines in the same box. For now, placement is by hand
            if not id_overlap: 
              self.ax[iax].legend(loc='upper right', bbox_to_anchor=(1, 0.95))
            else:
              self.ax[iax].legend(loc='upper right', bbox_to_anchor=(1, 0.90))
    
            #  Title
            if Ltitle: self.set_Title(self.ax, iax, Ltitle[i], id_overlap,Lxlab[i], Lylab[i])
        
            #  X/Y Axis label
            if id_overlap: 
              self.ax[iax].xaxis.tick_top()
              self.ax[iax].xaxis.set_label_position('top') 
              self.ax[iax].set_xlabel(Lxlab[i])
              self.ax[iax].set_ylabel(Lylab[i])
            else:
              self.set_XYaxislab(self.ax, iax, Lxlab[i], Lylab[i])
              
            self.ax[iax].tick_params(axis='x', colors=LaxisColor[i]) 
    
            # X/Y Axis limits value
            if Lxlim:
              try:
                self.set_xlim(self.ax, iax, Lxlim[i])
              except:
                 pass
            if Lylim:
              try:
                self.set_ylim(self.ax, iax, Lylim[i])
              except:
                  pass
    
          return self.fig
    #def initialize_default_val(Lvar, Dparam):
    #    #TODO : initialize default value for all parameter of all type of graphs
    #    #Returns All the parameters given in Dparam where :
    #    "- If no value is found (empty list []) : return the default value (if exist) * number of graph
    #    #- If ONE value only is found : return the value copied x times the number of graph
    #    #- If the list is complete, nothing is done
    #    #CURRENT PROBLEM
    #    #The returned value do not change the true referenced variable given as argument        
    #    #  Number of graphs
    #    l = len(Lvar)
    #    
    #    #  Add an extra percentage of the top max value for forcing the colorbar show the true user maximum value (correct a bug)
    #    #if Dparam['Lstep'] and Dparam['Lmaxval']: Dparam['Lmaxval'] = list(map(lambda x, y: x + 1E-6*y, Dparam['Lmaxval'], Dparam['Lstep']) ) #The extra value is 1E-6 times the step ticks of the colorbar
    #    print(Dparam.items())
    #    
    #    #  Read on which parameters initialize the default values
    #    for args_t in list(Dparam.items()):  #  Test on all arguments present, if they are empty list, default values apply for each graph
    #      args = list(args_t)
    #      print(args)
    #      if args[0] == 'Lfacconv' and not args[1]: args[1] = [1.0]*l
    #      elif args[0] == 'Lcolormap' and not args[1]: args[1] = ['gist_rainbow_r']*l
    #      elif args[0] == 'LcolorLine' and not args[1]: args[1] = ['black']*l
    #      elif args[0] == 'Lpltype' and not args[1]: args[1]= ['cf']*l
    #      elif args[0] == 'LaddWhite_cm' and not args[1]: args[1] = ['False']*l
    #      elif args[0] == 'Lstep' and not args[1]: args[1] = [None]*l #  default value filled later
    #      elif args[0] == 'Lstepticks' and not args[1]: args[1] = [None]*l
    #      Dparam[args[0]] = args[1]
    #      print(args)
    #     
    #    #  Check if there is no value for a parameter
    ##    for args_t in list(Dparam.items()):
    ##      args = list(args_t)
    ##      if args[1]
    #    #  Number of contours level
    ##    for i in range(l):
    ##      if 'Lstepticks' in arguments.args and 'Lmaxval' in arguments.args and 'Lminval' in arguments.args: 
    ##        Lstep[i] = (Lmaxval[i] - Lminval[i])/20  #  Default value of number of steps is 20
    ##        Lstepticks[i] = Lstep[i]  #  Default value is stepticks are the same as steps values
    #
    #