Dotsies

gistfile1.py

"""notes:
    
    Vowels all touch the top center and bottom except "O" which touches outlines
    the center.
    
    This is to give visual cues about the top and bottom of the line.
    
    Consonants designed to be small and visually oriented around the center dot
    for the most common letters, and as frequency of usage goes down, the dot 
    patterns that are oriented around the center dot are used.
"""
dotsies = {
 'a': '10000',
 'b': '01000',
 'c': '00100',
 'd': '00010',
 'e': '00001',
 'f': '11000',
 'g': '01100',
 'h': '00110',
 'i': '00011',
 'j': '10100',
 'k': '01010',
 'l': '00101',
 'm': '10010',
 'n': '01001',
 'o': '10001',
 'p': '11100',
 'q': '11010',
 'r': '10110',
 's': '01110',
 't': '01101',
 'u': '01011',
 'v': '00111',
 'w': '11001',
 'x': '10101',
 'y': '10011',
 'z': '11110',
}
dotsies3 = {
 'a': '10101',
 'b': '10001',
 'c': '01101',
 'd': '11100',
 'e': '11111',
 'f': '01011',
 'g': '10100',
 'h': '01100',
 'i': '10111',
 'j': '11000',
 'k': '10011',
 'l': '00111',
 'm': '10110',
 'n': '01000',
 'o': '11011',
 'p': '00101',
 'q': '10000',
 'r': '00110',
 's': '00010',
 't': '00100',
 'u': '11101',
 'v': '11001',
 'w': '11010',
 'x': '00011',
 'y': '01010',
 'z': '00001',
}

# From wikipedia
letter_freq = {
 'a': 8.167,
 'b': 1.492,
 'c': 2.782,
 'd': 4.253,
 'e': 12.702,
 'f': 2.228,
 'g': 2.015,
 'h': 6.094,
 'i': 6.966,
 'j': 0.153,
 'k': 0.772,
 'l': 4.025,
 'm': 2.406,
 'n': 6.749,
 'o': 7.507,
 'p': 1.929,
 'q': 0.095,
 'r': 5.987,
 's': 6.327,
 't': 9.056,
 'u': 2.758,
 'v': 0.978,
 'w': 2.360,
 'x': 0.150,
 'y': 1.974,
 'z': 0.074,
}

def vowels(pattern):
    return dict((k,v) for (k,v) in pattern.iteritems() if k in 'aeiou')

def consonants(pattern):
    return dict((k,v) for (k,v) in pattern.iteritems() if k not in 'aeiou')

def avg_density(pattern):
    freq_total = sum(letter_freq[l] for l in pattern.iterkeys())
    freq = lambda letter: letter_freq[letter] / freq_total
    density = lambda glyph: sum(int(px) for px in glyph)
    
    return sum(freq(l) * density(g) for (l, g) in pattern.iteritems())
    
def print_densities(pattern):
    def pr(label, density): print "   ", (label + ":").ljust(20), density

    pr('Average density', avg_density(pattern))
    pr('Vowel density', avg_density(vowels(pattern)))
    pr('Consonant density', avg_density(consonants(pattern)))
    
print "DOTSIES"
print_densities(dotsies)
print
print "DOTSIES 3"
print_densities(dotsies3)