2019.03.09 - initial commit
This commit is contained in:
Fabian Scheuermann
commit
74d442439c
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.ipynb_checkpoints/
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__pycache__/
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class duo:
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''' class to represent duodecimal numbers
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0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , X , E
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Input:
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------
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either string (base12) or float/int (base10)
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http://www.dozenal.org/drupal/sites_bck/default/files/DSA-ConversionRules_0.pdf
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'''
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def __init__(self,number):
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''' determine type of input and convert to decimal/duodecimal '''
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self.duo_digits = {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5',
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6: '6', 7: '7', 8: '8', 9: '9', 10: 'X', 11: 'E'}
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self.dec_digits = {'0': 0, '1': 1, '2': 2, '3': 3, '4': 4, '5': 5,
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'6': 6, '7': 7, '8': 8, '9': 9, 'E': 11, 'X': 10}
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self.base = 12
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if type(number) == int or type(number) == float:
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self.decimal = number
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self.duodecimal = self.dec_to_duo(number)
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elif type(number) == str:
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self.decimal = self.duo_to_dec(number)
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self.duodecimal = number.rstrip('0')
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else:
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raise TypeError('unkown type')
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def dec_to_duo(self,number):
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''' convert decimal float/int to duodecimal string '''
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# handle negative numbers
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if number <0:
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number = abs(number)
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sign = '-'
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else:
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sign = ''
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integer, fractional = divmod(number,1)
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out = []
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quotient = integer
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while quotient != 0:
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quotient, remainder = divmod(quotient,self.base)
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out.insert(0,remainder)
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integer = ''.join([self.duo_digits[dig] for dig in out])
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if fractional:
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out = []
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remainder = fractional
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for i in range(len(str(fractional).split('.')[1])+1):
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quotient, remainder = divmod(remainder*self.base,1)
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out.append(quotient)
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if remainder > 0.5:
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out.append(1)
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decimal = '.' + ''.join([self.duo_digits[dig] for dig in out])
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else:
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decimal = ''
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return sign + integer + decimal.rstrip('0')
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def duo_to_dec(self,string):
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''' convert duodecimal string to decimal float/int '''
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# handle negative numbers
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if string.startswith('-'):
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string = string[1:]
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sign = -1
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else:
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sign = 1
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if set(string) > set('123456789XE'):
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invalid = set(string) - set('123456789XE')
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raise ValueError('invalid character'.format(invalid))
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if '.' in string:
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integer, fractional = string.split('.')
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else:
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integer, fractional = string, ''
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out = 0
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for power, digit in enumerate(integer[::-1]):
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out += self.dec_digits[digit] * self.base**power
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for power, digit in enumerate(str(fractional),1):
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out += self.dec_digits[digit] * self.base**(-power)
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return out
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def __add__(self,other):
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'''add two duodecimal numbers'''
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if isinstance(other, duo):
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result = self.decimal + other.decimal
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elif type(other) == int or type(other) == float:
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result = self.decimal + other
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elif type(other) == str:
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result = self.decimal + self.duo_to_dec(other)
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else:
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raise TypeError('unkown type')
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return duo(result)
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def __sub__(self,other):
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''' subtract two duodecimal numbers '''
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if isinstance(other, duo):
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result = self.decimal - other.decimal
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elif type(other) == int or type(other) == float:
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result = self.decimal - other
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elif type(other) == str:
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result = self.decimal - self.duo_to_dec(other)
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else:
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raise TypeError('unkown type')
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return duo(result)
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def __mul__(self,other):
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''' multiply two duodecimal numbers '''
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if isinstance(other, duo):
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result = self.decimal * other.decimal
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elif type(other) == int or type(other) == float:
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result = self.decimal * other
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elif type(other) == str:
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result = self.decimal * self.duo_to_dec(other)
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else:
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raise TypeError('unkown type')
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return duo(result)
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def __truediv__(self,other):
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''' divide two duodecimal numbers '''
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if isinstance(other, duo):
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result = self.decimal / other.decimal
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elif type(other) == int or type(other) == float:
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result = self.decimal / other
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elif type(other) == str:
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result = self.decimal / self.duo_to_dec(other)
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else:
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raise TypeError('unkown type')
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return duo(result)
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def dec(self):
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''' return the decimal representation '''
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return self.decimal
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def __repr__(self):
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return self.duodecimal[:7].rstrip('0') + '(base12)'
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def __str__(self):
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return self.duodecimal
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@ -0,0 +1,213 @@
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Example usage of the duo class\n",
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"\n",
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"## Basic operations"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"from duodecimal import duo"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"36(base12)"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"duo(42)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"24(base12)"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"duo('24')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"5X(base12)"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"a = duo(42)\n",
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"b = duo(28)\n",
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"\n",
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"a + b"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"12(base12)"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"a - b"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"1(base12)"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"duo(3) * 4"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"3.4(base12)"
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]
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},
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"execution_count": 7,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"duo(10) / '3'"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Create a multiplication table"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"\t1 \t2 \t3 \t4 \t5 \t6 \t7 \t8 \t9 \t10 \t11 \t12\n",
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"---------------------------------------------------------------------------------------------------\n",
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" 1| \t1 \t2 \t3 \t4 \t5 \t6 \t7 \t8 \t9 \tX \tE \t10\n",
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" 2| \t2 \t4 \t6 \t8 \tX \t10 \t12 \t14 \t16 \t18 \t1X \t20\n",
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" 3| \t3 \t6 \t9 \t10 \t13 \t16 \t19 \t20 \t23 \t26 \t29 \t30\n",
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" 4| \t4 \t8 \t10 \t14 \t18 \t20 \t24 \t28 \t30 \t34 \t38 \t40\n",
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" 5| \t5 \tX \t13 \t18 \t21 \t26 \t2E \t34 \t39 \t42 \t47 \t50\n",
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" 6| \t6 \t10 \t16 \t20 \t26 \t30 \t36 \t40 \t46 \t50 \t56 \t60\n",
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" 7| \t7 \t12 \t19 \t24 \t2E \t36 \t41 \t48 \t53 \t5X \t65 \t70\n",
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" 8| \t8 \t14 \t20 \t28 \t34 \t40 \t48 \t54 \t60 \t68 \t74 \t80\n",
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" 9| \t9 \t16 \t23 \t30 \t39 \t46 \t53 \t60 \t69 \t76 \t83 \t90\n",
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"10| \tX \t18 \t26 \t34 \t42 \t50 \t5X \t68 \t76 \t84 \t92 \tX0\n",
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"11| \tE \t1X \t29 \t38 \t47 \t56 \t65 \t74 \t83 \t92 \tX1 \tE0\n",
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"12| \t10 \t20 \t30 \t40 \t50 \t60 \t70 \t80 \t90 \tX0 \tE0 \t100\n"
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]
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}
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],
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"source": [
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"multiplication_table = []\n",
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"for i in range(1,13):\n",
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" row = ['{:>2}|'.format(i)]\n",
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" for j in range(1,13):\n",
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" row.append(duo(i*j).__str__())\n",
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" multiplication_table.append(row)\n",
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"print('\\t'+' \\t'.join(map(str,range(1,13)))+ '\\n'+99*'-')\n",
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"for row in multiplication_table:\n",
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" print(' \\t'.join(row))"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.1"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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