Mercurial > public > think_complexity
view zipf.py @ 31:a2358c64d9af
Chapter 5.4, exercise 5: Pareto distribution and city populations.
author | Brian Neal <bgneal@gmail.com> |
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date | Mon, 07 Jan 2013 20:41:44 -0600 |
parents | 78116556b491 |
children |
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"""Exercise 1 in Chapter 5.1 of Allen Downey's Think Complexity "Write a program that reads a text from a file, counts word frequencies, and prints one line for each word, in descending order of frequency. You can test it by downloading an out-of-copyright book in plain text format from gutenberg.net. You might want to remove punctuation from the words. If you need some help getting started, you can download thinkcomplex.com/Pmf.py, which provides an object named Hist that maps from value to frequencies. Plot the results and check whether they form a straight line. For plotting suggestions, see Section 3.6. Can you estimate the value of s? You can download my solution from thinkcomplex.com/Zipf.py" """ import argparse import collections import string from matplotlib import pyplot DESCRIPTION = """\ This program reads words from files and analyzes their frequency. The words can be printed in descending order of frequency or plotted. See exercise 1 in Chapter 5.1 of Allen Downey's Think Complexity book. """ def word_generator(fp): """A generator function to produce words from a file-like object. """ for line in fp: line = line.replace('--', ' ') words = line.split() for word in words: if word.endswith("'s"): word = word[:-2] word = word.lower().strip(string.punctuation) yield word def process_file(fp, counter): word_iter = word_generator(fp) for word in word_iter: counter[word] += 1 def show_plot(counter): """Display a plot of log f vs. log r to demonstrate Zipf's law.""" data = [(r + 1, pair[1]) for r, pair in enumerate(counter.most_common())] r_vals, f_vals = zip(*data) pyplot.clf() pyplot.xscale('log') pyplot.yscale('log') pyplot.title('log f vs log r') pyplot.xlabel('r') pyplot.ylabel('f') pyplot.plot(r_vals, f_vals, label='f vs r', color='green', linewidth=3) pyplot.legend(loc=4) pyplot.show() def main(args=None): parser = argparse.ArgumentParser(description=DESCRIPTION) parser.add_argument('-p', '--plot', action='store_true', default=False, help='display a plot of the results instead of printing') parser.add_argument('files', nargs='+', type=argparse.FileType('r'), metavar='filename', help='filename to read words from') opts = parser.parse_args(args=args) counter = collections.Counter() for fp in opts.files: process_file(fp, counter) if opts.plot: show_plot(counter) else: for word, count in counter.most_common(): print word, count if __name__ == '__main__': main()