scatterHist.py

'''
Created on Sep 15, 2016
@author: urishaham
'''

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.ticker import NullFormatter

def scatterHist(x1,x2, y1,y2, axis1='', axis2='', title='', name1='', name2='',
                plots_dir=''):
    nullfmt = NullFormatter()         # no labels
    
    # definitions for the axes
    left, width = 0.1, 0.65
    bottom, height = 0.1, 0.65
    bottom_h = left_h = left + width + 0.02
    
    rect_scatter = [left, bottom, width, height]
    rect_histx = [left, bottom_h, width, 0.2]
    rect_histy = [left_h, bottom, 0.2, height]
    
    # start with a rectangular Figure
    fig = plt.figure(figsize=(8, 8))
       
    axScatter = plt.axes(rect_scatter)
    axHistx = plt.axes(rect_histx)
    axHisty = plt.axes(rect_histy)
    
    # no labels
    axHistx.xaxis.set_major_formatter(nullfmt)
    axHisty.yaxis.set_major_formatter(nullfmt)
    
    # the scatter plot:
    axScatter.scatter(x1, x2, color = 'blue', s=3)
    axScatter.scatter(y1, y2, color = 'red', s=3) 


    # now determine nice limits by hand:
    binwidth = 0.5
    xymax = np.max([np.max(np.fabs(x1)), np.max(np.fabs(x2))])
    lim = (int(xymax/binwidth) + 1) * binwidth
    
    axScatter.set_xlim((-lim, lim))
    axScatter.set_ylim((-lim, lim))
    
    bins = np.arange(-lim, lim + binwidth, binwidth)
    axHistx.hist(x1, bins=bins, color = 'blue', density=True, stacked = True, histtype='step' )
    axHisty.hist(x2, bins=bins, orientation='horizontal', color = 'blue', normed=True, stacked = True, histtype='step')
    axHistx.hist(y1, bins=bins, color = 'red', normed=True, stacked = True, histtype='step')
    axHisty.hist(y2, bins=bins, orientation='horizontal', color = 'red', normed=True, stacked = True, histtype='step')
    
    axHistx.set_xlim(axScatter.get_xlim())
    axHisty.set_ylim(axScatter.get_ylim())
    
    axHistx.set_xticklabels([])
    axHistx.set_yticklabels([])
    axHisty.set_xticklabels([])
    axHisty.set_yticklabels([])
    axScatter.set_xlabel(axis1, fontsize=18)
    axScatter.set_ylabel(axis2, fontsize=18)
    
    axHistx.set_title(title, fontsize=18)
    axScatter.legend([name1, name2], fontsize=18)
    plt.show(block=False)
    if not plots_dir=='':
        fig.savefig(plots_dir+'/'+title+'.eps' ,format='eps')