# -*- coding: utf-8 -*-
# <nbformat>3.0</nbformat>

# <codecell>

%matplotlib inline

# <codecell>

import pylab as pl
import numpy as np

# <codecell>

a = np.arange(1000)
a = a/1000.0*(np.pi*2*60)
a = np.sin(a)

# <codecell>

pl.plot(a)

# <codecell>

f = np.fft.fft(a)
f = np.abs(f)
#f = np.fft.fftshift(f)

# <codecell>

pl.plot(f)

# <codecell>

for i in range(len(f)):
    print str(i) + " " + str(int(f[i]))

# <codecell>