#!/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_arctan_arccot_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().yaxis.set_major_formatter(mpl.ticker.FuncFormatter(flabel))

# make space for labels
mplwp.move_axes(fig, 21, 0)
fig.gca().yaxis.set_major_locator(mpl.ticker.MultipleLocator(0.25))

xlim = -5,5; fig.gca().set_xlim(xlim)
ylim = -0.625,1.125; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

x1 = np.linspace(xlim[0], xlim[1], 5001)
y1 = [atan(xx)/pi for xx in x1]
plt.plot(x1, y1, label='arctan')

x2 = np.linspace(xlim[0], xlim[1], 5001)
y2 = [0.5 - atan(xx)/pi for xx in x2]
plt.plot(x2, y2, label='arccot')

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