Mapytex/fraction.py

192 lines
5.3 KiB
Python

#!/usr/bin/env python
# encoding: utf-8
from calculus import isNumber
from arithmetic import gcd
class Fraction(object):
"""Fractions!"""
def __init__(self, num, denom = 1):
"""To initiate a fraction we need a numerator and a denominator
:param num: the numerator
:param denom: the denominator
"""
self._num = num
self._denom = denom
def simplify(self):
"""Simplify the fraction
:returns: steps to simplify the fraction or the fraction if there is nothing to do
"""
steps = [str(self)]
if self._denom < 0:
self._num = - self._num
self._denom = - self._denom
steps += [str(self)]
gcd_ = gcd(abs(self._num), abs(self._denom))
if self._num == self._denom:
self._num = 1
self._denom = 1
steps += [str(self)]
elif gcd_ != 1:
self._num, self._denom = self._num // gcd_ , self._denom // gcd_
steps += ["( {reste1} * {gcd} ) / ( {reste2} * {gcd} )".format(reste1 = self._num, reste2 = self._denom, gcd = gcd_)]
steps += [str(self)]
return steps
def __str__(self):
if self._denom == 1:
return str(self._num)
else:
return str(self._num) + " / " + str(self._denom)
def __add__(self, other):
if type(other) == Fraction:
#cool
number = other
else:
number = Fraction(other)
steps = ["{frac1} + {frac2}".format(frac1 = self, frac2 = number)]
if self._denom == number._denom:
com_denom = self._denom
num1 = self._num
num2 = number._num
else:
gcd_denom = gcd(self._denom, number._denom)
coef1 = number._denom // gcd_denom
coef2 = self._denom // gcd_denom
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) + ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
com_denom = self._denom * coef1
num1 = self._num * coef1
num2 = number._num * coef2
steps += ["( {num1} + {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
num = num1 + num2
ans_frac = Fraction(num, com_denom)
steps += ans_frac.simplify()
return steps
def __sub__(self, other):
if type(other) == Fraction:
#cool
number = other
else:
number = Fraction(other)
steps = ["{frac1} - {frac2}".format(frac1 = self, frac2 = number)]
if self._denom == number._denom:
com_denom = self._denom
num1 = self._num
num2 = number._num
else:
gcd_denom = gcd(self._denom, number._denom)
coef1 = number._denom // gcd_denom
coef2 = self._denom // gcd_denom
steps += ["( {num1} * {coef1} ) / ( {den1} * {coef1} ) - ( {num2} * {coef2} ) / ( {den2} * {coef2} )".format(num1 = self._num, den1 = self._denom, coef1 = coef1, num2 = number._num, den2 = number._denom, coef2 = coef2)]
com_denom = self._denom * coef1
num1 = self._num * coef1
num2 = number._num * coef2
steps += ["( {num1} - {num2} ) / {denom}".format(num1 = num1, num2 = num2, denom = com_denom)]
num = num1 - num2
ans_frac = Fraction(num, com_denom)
steps += ans_frac.simplify()
return steps
def __mul__(self, other):
if type(other) == Fraction:
#cool
number = other
else:
number = Fraction(other)
steps = ["( {frac1} ) * ( {frac2} )".format(frac1 = self, frac2 = number)]
steps += ["( {num1} * {num2} ) / ( {denom1} * {denom2} )".format(num1 = self._num, num2 = number._num, denom1 = self._denom, denom2 = number._denom)]
num = self._num * number._num
denom = self._denom * number._denom
ans_frac = Fraction(num, denom)
steps += ans_frac.simplify()
return steps
def __truediv__(self, other):
if type(other) == Fraction:
#cool
number = other
else:
number = Fraction(other)
steps = ["( {frac1} ) / ( {frac2} )".format(frac1 = self, frac2 = number)]
number = Fraction(number._denom, number._num)
steps += self * number
return steps
if __name__ == '__main__':
f = Fraction(34, 12)
g = Fraction(1,5)
h = Fraction(-1,5)
t = Fraction(-4,5)
print("---------")
for i in (f - 1):
print(i)
print("---------")
for i in (f + 1):
print(i)
print("---------")
for i in (f + g):
print(i)
print("---------")
for i in (f - g):
print(i)
print("---------")
for i in (f * g):
print(i)
print("---------")
for i in (h + t):
print(i)
print("---------")
for i in (h - t):
print(i)
print("---------")
for i in (h * t):
print(i)
print("---------")
for i in (h / t):
print(i)
#print(f.simplify())
# -----------------------------
# Reglages pour 'vim'
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# cursor: 16 del