'''Convert to and from Roman numerals
This program is part of 'Dive Into Python 3', a free Python book for
experienced programmers. Visit http://diveintopython3.org/ for the
latest version.
'''
class OutOfRangeError(ValueError): pass
class NotIntegerError(ValueError): pass
class InvalidRomanNumeralError(ValueError): pass
roman_numeral_map = (('M', 1000),
('CM', 900),
('D', 500),
('CD', 400),
('C', 100),
('XC', 90),
('L', 50),
('XL', 40),
('X', 10),
('IX', 9),
('V', 5),
('IV', 4),
('I', 1))
to_roman_table = [ None ]
from_roman_table = {}
def to_roman(n):
'''convert integer to Roman numeral'''
if int(n) != n:
raise NotIntegerError('non-integers can not be converted')
if not (0 < n < 5000):
raise OutOfRangeError('number out of range (must be 1..4999)')
return to_roman_table[n]
def from_roman(s):
'''convert Roman numeral to integer'''
if not isinstance(s, str):
raise InvalidRomanNumeralError('Input must be a string')
if not s:
raise InvalidRomanNumeralError('Input can not be blank')
if s not in from_roman_table:
raise InvalidRomanNumeralError('Invalid Roman numeral: {0}'.format(s))
return from_roman_table[s]
def build_lookup_tables():
def to_roman(n):
result = ''
for numeral, integer in roman_numeral_map:
if n >= integer:
result = numeral
n -= integer
break
if n > 0:
result += to_roman_table[n]
return result
for integer in range(1, 5000):
roman_numeral = to_roman(integer)
to_roman_table.append(roman_numeral)
from_roman_table[roman_numeral] = integer
build_lookup_tables()
# Copyright (c) 2009, Mark Pilgrim, All rights reserved.
#
# Redistribution and use in source and binary forms, with or without modification,
# are permitted provided that the following conditions are met:
#
# * Redistributions of source code must retain the above copyright notice,
# this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright notice,
# this list of conditions and the following disclaimer in the documentation
# and/or other materials provided with the distribution.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 'AS IS'
# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
# CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
# CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.