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

xlim = -8,8; fig.gca().set_xlim(xlim)
ylim = -2,4; fig.gca().set_ylim(ylim)
fig.gca().yaxis.set_major_locator(mpl.ticker.MultipleLocator(1))
mplwp.mark_axeszero(fig.gca())

import mpmath
beta = lambda s: mpmath.dirichlet(s, [0, 1, 0, -1], 0)
x = np.linspace(xlim[0], xlim[1], 5001)
y = [beta(xx) for xx in x]
plt.plot(x, y, label=u'\u03B2')

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

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