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

xlim = -5,5; fig.gca().set_xlim(xlim)
ylim = -4,5; fig.gca().set_ylim(ylim)
fig.gca().xaxis.set_major_locator(mpl.ticker.MultipleLocator(1))
mplwp.mark_axeszero(fig.gca())

import mpmath
x = np.linspace(xlim[0], xlim[1], 5001)

y1 = [float(mpmath.polylog(3, xx).real) for xx in x]
plt.plot(x, y1, label='Re(Li' + mplwp.unicode_sub(3) + '(x))')

y1 = [float(mpmath.polylog(3, xx).imag) for xx in x]
plt.plot(x, y1, label='Im(Li' + mplwp.unicode_sub(3) + '(x))')

plt.legend(loc='upper left').get_frame().set_alpha(0.9)

plt.savefig(name)
mplwp.postprocess(name)