#!/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_gudermann_inv_piaxis.svg'
fig = mplwp.fig_standard(mpl)

# add pi to xaxis labels
def flabel(x, i):
    return u'{}\u03C0'.format(x).replace('-', u'\u2212')
fig.gca().xaxis.set_major_formatter(mpl.ticker.FuncFormatter(flabel))

fig.gca().xaxis.set_major_locator(mpl.ticker.MultipleLocator(0.25))
fig.gca().yaxis.set_major_locator(mpl.ticker.MultipleLocator(1))
xlim = -0.625,0.625; fig.gca().set_xlim(xlim)
ylim = -5.5, 5.5; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())
#mplwp.move_axes(fig, 22, 0)

f = lambda x: atan(sinh(x)) / pi
y = np.linspace(ylim[0], ylim[1], 5001)
x = [f(yy) for yy in y]

plt.plot(x, y, label=ur'$gd^{\u22121}$')

plt.legend(loc='upper left').get_frame().set_alpha(0.9)
plt.savefig(name)
mplwp.postprocess(name)