#!/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_gaussian_wavepacket_f4.svg'
fig = mplwp.fig_standard(mpl)
xlim = -4, 4; fig.gca().set_xlim(xlim)
ylim = -1.5, 1.5; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())

def f(x):
    return exp(-x**2 / 2.) * sin(2*pi * 4.*x)
x = np.linspace(xlim[0], xlim[1], 8001)
y = [f(xx) for xx in x]
plt.plot(x, y, label=ur'$e^{\u2212x²/2}\cdot\,sin(2\pi\cdot 4x)$')

mpl.rc('legend', borderaxespad=0.75)
plt.legend(loc='upper center').get_frame().set_alpha(0.9)
plt.savefig(name)
mplwp.postprocess(name)