#!/usr/bin/python # -*- coding: utf8 -*-  import matplotlib.pyplot as plt import matplotlib as mpl import numpy as np from math import *  code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp' try:     import mplwp except ImportError, er:     print 'ImportError:', er     print 'You need to download mplwp.py from', code_website     exit(1)  name = 'mplwp_inverse_hyperbolic functions.svg' fig = mplwp.fig_standard(mpl)  xlim = -4,4; fig.gca().set_xlim(xlim) ylim = -3,3; fig.gca().set_ylim(ylim) mplwp.mark_axeszero(fig.gca())  x1 = np.linspace(xlim[0], xlim[1], 5001) y1 = [asinh(xx) for xx in x1] plt.plot(x1, y1, label='arsinh', zorder=-1)  y2 = np.linspace(0, acosh(xlim[1]), 5001) x2 = [cosh(yy) for yy in y2] plt.plot(x2, y2, label='arcosh', zorder=-3) plt.plot(x2[0], y2[0], 'o', color=fig.gca().lines[-1].get_color(), zorder=-2)  y3 = np.linspace(ylim[0], ylim[1], 5001) x3 = [tanh(yy) for yy in y3] plt.plot(x3, y3, label='artanh', zorder=-4)  def coth(x): return 1.0 / tanh(x) y4 = np.concatenate((np.linspace(atanh(1./xlim[0]), ylim[0], 3001),                      [float('NaN')],                      np.linspace(ylim[1], atanh(1./xlim[1]), 3001))) x4 = [coth(yy) for yy in y4] plt.plot(x4, y4, label='arcoth', zorder=-5)  def sech(x): return 1.0 / cosh(x) y5 = np.linspace(0, ylim[1], 5001) x5 = [sech(yy) for yy in y5] plt.plot(x5, y5, label='arsech', zorder=-7) plt.plot(x5[0], y5[0], 'o', color=fig.gca().lines[-1].get_color(), zorder=-6)  def acsch(x): return asinh(1./x) x6 = np.concatenate((np.linspace(xlim[0], 1./sinh(ylim[0]), 4001),                      [float('NaN')],                      np.linspace(1./sinh(ylim[1]), xlim[1], 4001))) y6 = [acsch(xx) for xx in x6] plt.plot(x6, y6, label='arcsch', zorder=-8)  mpl.rc('legend', borderaxespad=0.8) plt.legend(loc='upper left', ncol=2, columnspacing=1.1, handletextpad=0.3,     bbox_to_anchor=(0, 0.914)).get_frame().set_alpha(0.9) plt.savefig(name) mplwp.postprocess(name)