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Classes 2 COMPSCI 105 SS 2015 Principles of Computer Science

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Exercise PreLab01 will be closed at 23:59 Monday, 12 Jan Lab01 Will be closed at 23:59 Wednesday 14 Jan Exercise Create a Student class: The Student class should have three attributes: id, last_name, and first_name. Create a constructor to initialize the values Implement the __repr__ method and __str__ method Lecture 04COMPSCI 1052 >>> s1 = Student(1, ‘Angela’, ‘Chang’) >>> s1 >>> print(s1) >>> s1 = Student(1, ‘Angela’, ‘Chang’) >>> s1 >>> print(s1) Student(1,Angela, Chang) 1: Angela Chang Student(1,Angela, Chang) 1: Angela Chang

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Reminder – Fraction class Write a class to represent fractions in Python create a fraction add subtract multiply divide text representation COMPSCI 1053 ½ numerator denominator Lecture 04

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Overloading Operators Python operators work for built-in classes. But same operator behaves differently with different types. E.g. the + operator: perform arithmetic addition on two numbers, merge two lists concatenate two strings. Allow same operator to have different meaning according to the context is called operator overloading Lecture 04COMPSCI 1054 OperatorExpressionInternally Additionf1 + f2f1.__add__(f2) Subtractionf1 - f2f1.__sub__(f2) Equalityf1 == f2f1. __eq__(f2) Example01.py

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__add__ The __add__ method is called when the + operator is used If we implement __add__ then we can use + to add the objects f1 + f2 gets translated into f1.__add__(f2) COMPSCI 1055 x = Fraction(1, 2) y = Fraction(1, 4) z = x + y print(z) x = Fraction(1, 2) y = Fraction(1, 4) z = x + y print(z) def __add__(self, other): new_num = self.num * other.den + self.den * other.num new_den = self.den * other.den return Fraction(new_num, new_den) def __add__(self, other): new_num = self.num * other.den + self.den * other.num new_den = self.den * other.den return Fraction(new_num, new_den) 6/8 Lecture 04

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__sub__ The __sub__ method is called when the - operator is used If we implement __sub__ then we can use - to do subtraction f1 - f2 gets translated into f1.__sub__(f2) COMPSCI 1056 x = Fraction(1, 2) y = Fraction(1, 4) z = x - y print(z) x = Fraction(1, 2) y = Fraction(1, 4) z = x - y print(z) def __sub__(self, other): new_num = self.num * other.den - self.den * other.num new_den = self.den * other.den return Fraction(new_num, new_den) def __sub__(self, other): new_num = self.num * other.den - self.den * other.num new_den = self.den * other.den return Fraction(new_num, new_den) 2/8 Lecture 04

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__eq__ The __eq__ method checks equality of the objects Default behaviour is to compare the references We want to compare the contents COMPSCI 1057 def __eq__(self, other): return self.num * other.den == other.num * self.den def __eq__(self, other): return self.num * other.den == other.num * self.den Lecture 04

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Exercise 1 What is the output of the following code? COMPSCI 1058 x = Fraction(2, 3) y = Fraction(1, 3) z = y + y print(x == z) print(x is z) w = x + y print(w == 1) x = Fraction(2, 3) y = Fraction(1, 3) z = y + y print(x == z) print(x is z) w = x + y print(w == 1) Lecture 04

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Improving __eq__ Check the type of the other operand If the type is not a Fraction, then not equal? What other decisions could we make for equality? COMPSCI 1059 def __eq__(self, other): if not isinstance(other, Fraction): return False return self.num * other.den == other.num * self.den def __eq__(self, other): if not isinstance(other, Fraction): return False return self.num * other.den == other.num * self.den Lecture 04

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Improving your code Fractions: 12/30 2/5 The first fraction can be simplified to 2/5 The Common Factors of 12 and 30 were 1, 2, 3 and 6, The Greatest Common Factor is 6. So the largest number we can divide both 12 and 30 evenly by is 6 And so 12/30 can be simplified to 2/5 Lecture 04COMPSCI 10510

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Greatest Common Divisor Use Euclid's Algorithm Given two numbers, n and m, find the number k, such that k is the largest number that evenly divides both n and m. COMPSCI 10511 def gcd(m, n): while m % n != 0: old_m = m old_n = n m = old_n n = old_m % old_n return n def gcd(m, n): while m % n != 0: old_m = m old_n = n m = old_n n = old_m % old_n return n Lecture 04

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Improve the constructor We can improve the constructor so that it always represents a fraction using the "lowest terms" form. What other things might we want to add to a Fraction? COMPSCI 10512 class Fraction: def __init__(self, top, bottom): common = Fraction.gcd(top, bottom) #get largest common term self.num = top // common #numerator self.den = bottom // common #denominator def gcd(m, n): while m % n != 0: old_m = m old_n = n m = old_n n = old_m % old_n return n class Fraction: def __init__(self, top, bottom): common = Fraction.gcd(top, bottom) #get largest common term self.num = top // common #numerator self.den = bottom // common #denominator def gcd(m, n): while m % n != 0: old_m = m old_n = n m = old_n n = old_m % old_n return n Lecture 04

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Other standard Python operators Many standard operators and funtions: https://docs.python.org/3.4/library/operator.html Common Arithmetic operators object.__add__(self, other) object.__sub__(self, other) object.__mul__(self, other) object.__truediv__(self, other) Common Relational operators object.__lt__(self, other) object.__le__(self, other) object.__eq__(self, other) object.__ne__(self, other) object.__gt__(self, other) object.__ge__(self, other) COMPSCI 10513 Inplace arithmetic operators object.__iadd__(self, other) object.__isub__(self, other) object.__imul__(self, other) object.__itruediv__(self, other) Lecture 04

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Exercise 2 Implement the following methods of the Fraction class: Multiplication i.e. __mul__ Division i.e. __truediv__ Lecture 04COMPSCI 10514 a = Fraction(1, 3) b = Fraction(4, 5) c = a * b d = a / b print (c) print (d) a = Fraction(1, 3) b = Fraction(4, 5) c = a * b d = a / b print (c) print (d) 4/15 5/12 4/15 5/12

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Summary All types in Python are defined in a class All operators are translated into a method call All "standard" Python functions are translated into method calls When we write our own classes, we can define behaviour for standard operators COMPSCI 10515Lecture 04

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Adding & Subtracting Fractions With Like Denominators.

Adding & Subtracting Fractions With Like Denominators.

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