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statistics.py
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import math
import re
from class1 import Calculate
class Fraction:
def __init__(self, num1=0, num2=1, reduce=True):
if not ({type(num1), type(num2)} - {int, float, str}):
if type(num1) != str and type(num2) == str:
raise TypeError
if isinstance(num1, str):
regex = '-?[0-9]+(.[0-9]+)?'
if re.match(f'^{regex}/{regex}$', num1):
num1, num2 = num1.split('/')
num1 = [int, float]['.' in num1](num1)
num2 = [int, float]['.' in num2](num2)
else:
raise TypeError
if not num2:
raise ZeroDivisionError
if isinstance(num1, int) and isinstance(num2, int):
div = math.gcd(num1, num2) ** reduce
self.num1 = num1 // div
self.num2 = num2 // div
else:
num2 = num2 if num1 else 1
self.num1 = [float, int][num1 == int(num1)](num1)
self.num2 = [float, int][num2 == int(num2)](num2)
self.num = self.num1 / self.num2
def __neg__(self):
sign = sum([self.num1 > 0, self.num2 > 0, 1]) % 2
return Fraction(-1 ** sign * abs(self.num1), abs(self.num2))
def __sub__(self, other):
return self + -other
def __add__(self, other):
if type(other) in [int, float]:
return Fraction(self.num1 + other * self.num2, self.num2)
num_one = self.num1 * other.num2
num_two = other.num1 * self.num2
den = self.num2 * other.num2
return Fraction(num_one + num_two, den)
def __mul__(self, other):
if type(other) in [int, float]:
return Fraction(other * self.num1, self.num2)
num = self.num1 * other.num1
den = self.num2 * other.num2
return Fraction(num, den)
def __truediv__(self, other):
return self * Fraction(other.num2, other.num1)
def __int__(self):
return self.num1 // self.num2
def __float__(self):
return self.num1 / self.num2
def __repr__(self):
return f'Fraction({self.num1}, {self.num2})'
def __str__(self):
return f'{self.num1}/{self.num2}'
def __eq__(self, other):
return (self.num1 * other.num2) == (other.num1 * self.num2)
def __ne__(self, other):
return not (self == other)
def __lt__(self, other):
if type(other) in [int, float]:
other = Fraction(other)
return (self.num1 * other.num2) < (other.num1 * self.num2)
def __gt__(self, other):
return not (self <= other)
def __le__(self, other):
return (self == other) or (self < other)
def __ge__(self, other):
return not (self < other)
def __round__(self, number=0):
return Fraction(round(self.num1 / self.num2, number))
def __div__(self, other):
return self.fraction * other.reciprocal
def __mod__(self, other):
return (self.num1 / self.num2) % (other.num1 / other.num2 )
def reduction(self, other):
# reduction of fractions to a common denominator
lcm = Calculate(self.num2).least_cm(other.num2)
self.num1, other.num1 = lcm // self.num2, lcm // other.num2
self.num2, other.num2 = lcm, lcm
return [self, other]
def is_improper(self):
return self > Fraction(1)
def to_percent(self):
percent = Percent(self.num * 100)
return percent
def to_float(self):
return self.num
def to_proportion(self):
return Proportion(self.num1,self.num2)
def reciprocal(self):
# return reciprocal
return Fraction(self.num2,self.num1)
class Percent:
def __init__(self, num,rounding = True):
if isinstance(num, str):
if "%" in num:
try:
num = int(num.replace("%", ""))
except:
num = float(num.replace("%", ""))
if isinstance(num, Fraction):
num = num.num * 100
try:
num = round(num) if rounding == True else num
except:
raise TypeError("Error num!")
if num < 0:
raise TypeError
self.num = num
self.float_percent = num / 100
def __add__(self, other):
return Percent(self.num + other.num)
def __repr__(self):
return f"Percent({self.num})"
def __str__(self):
return f"{self.num}%"
def __sub__(self, other):
return Percent(self.num - other.num)
def __div__(self, other):
if not other.num:
raise ZeroDivisionError
return Percent(self.num / other.num)
def __mul__(self, other):
return Percent(self.num * other.num)
def __mod__(self, other):
return Percent(self.num % other.num)
def __eq__(self, other):
return self.num == other.num
def __ne__(self, other):
return self.num != other.num
def __lt__(self, other):
return self.num < other.num
def __gt__(self, other):
return self.num > other.num
def __neg__(self):
return Percent(-self.num)
def to_fraction(self):
return Fraction(num, 100, False)
def to_float(self):
return self.float_percent
def to_proportion(self):
return Proportion(self.num,100)
def percentage(self,number):
return Percent(round(((number - self.num ) / self.num * 100),3))
class Proportion:
def __init__(self,number1,number2 = 1,reduce = True):
if isinstance(number1,Fraction):
if isinstance(number2,Fraction) == False:
number2 = Fraction(number2)
if isinstance(number2,Fraction):
spyder = Calculate(number1.num2).least_cm(number2.num2)
number1 = Fraction((number1.num1 * spyder)).num
number2 = Fraction((number2.num1 * spyder)).num
if isinstance(number1,str) or isinstance(number2,str):
try:
number1 = number1[0]
number2 = number1[-1]
except:
number1 = int(number1)
number2 = int(number)
if isinstance(number1,float) or isinstance(number1,float):
number1 = int(number1)
number2 = int(number2)
if number1 == 0 or number2 == 0:
raise ZeroDivisionError("number1 or number2 must not be zero!")
exit()
div = math.gcd(number1,number2) if reduce == True else 1
self.number1 = number1 // div
self.number2 = number2 // div
self.float = number1 / number2
def __repr__(self):
return f"Proportion({self.number1},{self.number2})"
def __str__(self):
return f"{self.number1}:{self.number2}"
def __add__(self,other):
return self.float + other.float
def __mul__(self,other):
return self.float * other.float
def __sub__(self,other):
return self.float - other.float
def __div__(self, other):
return self.float / other.float
def __mod__(self,other):
return self.float % other.float
def __eq__(self,other):
return self.float == other.float
def __ne__(self,other):
return self.float != other.float
def __lt__(self,other):
return self.float < other.float
def __gt__(self,other):
return self.float > other.float
def to_fraction(self):
return Fraction(self.number1, self.number2)
def to_float(self):
return self.float
def to_percent(self):
return Percent(self.float * 100)