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b/oop/solutions.tex @@ -0,0 +1,352 @@ +\documentclass{beamer} + +\usepackage{color} +\usepackage{graphicx} +\usepackage{minted} +\usepackage{url} + +\definecolor{pms280}{HTML}{00247d} +\definecolor{pms280_2nd}{HTML}{385499} +\definecolor{pms280_4th}{HTML}{7185b6} +\definecolor{pms280_8th}{HTML}{e2e6F0} +\definecolor{pms280_compl}{HTML}{7d5800} + +\usetheme{Boadilla} +\useoutertheme{infolines} +\useinnertheme{circles} +\setbeamercolor{author in head/foot}{bg=pms280,fg=white} +\setbeamercolor{title in head/foot}{bg=pms280_2nd,fg=white} +\setbeamercolor{date in head/foot}{bg=pms280_4th,fg=white} +\setbeamercolor{block title}{bg=pms280,fg=white} +\setbeamercolor{block body}{bg=pms280_8th} +\setbeamercolor{title}{fg=pms280} +\setbeamercolor{titlelike}{fg=pms280} +\setbeamercolor{itemize item}{fg=pms280} +\setbeamercolor{itemize subitem}{fg=pms280} +\setbeamertemplate{enumerate items}[default] +\setbeamercolor{enumerate item}{fg=pms280} + +\author{Jonathan~K.~Vis} +\institute[LUMC]{Dept. of Human Genetics, Leiden University Medical Center} +\date{September 21st, 2017} +\title{Solutions --- Object Oriented Programming} + +\begin{document} +\beamertemplatenavigationsymbolsempty + +\begin{frame} +\titlepage +\vfill +\hfill \textcolor{pms280_compl}{\texttt{j.k.vis@lumc.nl}} +\end{frame} + +\begin{frame}[fragile]{0. Skeleton} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + def __init__(self, numerator, denominator=1): + self._numerator = numerator + self._denominator = denominator +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> f1 = Fraction(1, 2) +\end{minted} +\end{frame} + +\begin{frame}[fragile]{1. Adding a print representation} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + def __init__(self, numerator, denominator=1): + self._numerator = numerator + self._denominator = denominator + + def __str__(self): + return str(self._numerator) + '/' + str(self._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2) +1/2 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{2. Add the \texttt{+} operator} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + def __init__(self, numerator, denominator=1): + self._numerator = numerator + self._denominator = denominator + + def __str__(self): + return str(self._numerator) + '/' + str(self._denominator) + + def __add__(self, other): + return Fraction(self._numerator * other._denominator + + other._numerator * self._denominator, + self._denominator * other._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2) + Fraction(2, 3) +7/6 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{3. Add an invert function} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def __str__(self): + return str(self._numerator) + '/' + str(self._denominator) + + def __add__(self, other): + return Fraction(self._numerator * other._denominator + + other._numerator * self._denominator, + self._denominator * other._denominator) + + def invert(self): + return Fraction(self._denominator, self._numerator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2).invert() +2/1 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{4. Conversion to a decimal representation} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def __add__(self, other): + return Fraction(self._numerator * other._denominator + + other._numerator * self._denominator, + self._denominator * other._denominator) + + def invert(self): + return Fraction(self._denominator, self._numerator) + + def to_float(self): + return float(self._numerator) / float(self._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2).to_float() +0.5 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{5. Get the integer part of a fraction} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def invert(self): + return Fraction(self._denominator, self._numerator) + + def to_float(self): + return float(self._numerator) / float(self._denominator) + + def integer(self): + return int(self._numerator) / int(self._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(7, 6).integer() +1 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{6a. Substracting} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def to_float(self): + return float(self._numerator) / float(self._denominator) + + def integer(self): + return int(self._numerator) / int(self._denominator) + + def __sub__(self, other): + return Fraction(self._numerator * other._denominator - + other._numerator * self._denominator, + self._denominator * other._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2) - Fraction(2, 3) +-1/6 +\end{minted} +\end{frame} + + +\begin{frame}[fragile]{6b. Multiplication} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def integer(self): + return int(self._numerator) / int(self._denominator) + + def __sub__(self, other): + return Fraction(self._numerator * other._denominator - + other._numerator * self._denominator, + self._denominator * other._denominator) + + def __mul__(self, other): + return Fraction(self._numerator * other._numerator, + self._denominator * other._denominator) +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2) * Fraction(2, 3) +2/6 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{6c. Division} +\small +\texttt{fraction.py} +\begin{minted}{python} +class Fraction(object): + ... + + def __sub__(self, other): + return Fraction(self._numerator * other._denominator - + other._numerator * self._denominator, + self._denominator * other._denominator) + + def __mul__(self, other): + return Fraction(self._numerator * other._numerator, + self._denominator * other._denominator) + + def __div__(self, other): + return self * other.invert() +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(1, 2) / Fraction(2, 3) +3/4 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{7. Simplification} +\small +\texttt{fraction.py} +\begin{minted}{python} +def gcd(a, b): + if b == 0: + return a + return gcd(b, a % b) + +class Fraction(object): + ... + + def simplify(self): + divisor = gcd(self._numerator, self._denominator) + self._numerator = self._numerator / divisor + self._denominator = self._denominator / divisor + return self +\end{minted} + +\vfill + +\texttt{test\_fraction.py} +\begin{minted}{python} +>>> print Fraction(2, 6).simplify() +1/3 +\end{minted} +\end{frame} + +\begin{frame}[fragile]{8--12. More advanced stuff} +8. It would be a good idea to \mintinline{python}{simplify()} after each +arithmetic operator. \\ + +\vfill + +9. Here, you really need the fractions to be in a \emph{normal} form. \\ + +\vfill +10. Probably (for printing reasons) you would like for the numerator to +be negative and not the denominator, avoid \mintinline{python}{1/-4}. And +convert to positive when both the numerator and denominator are negative. \\ + +\vfill + +11. Something like: +{ +\small +\begin{minted}{python} +def __mul__(self, other): + if isinstance(other, int): + return Fraction(self._numerator * other, self._denominator) + return Fraction(self._numerator * other._numerator, + self._denominator * other._denominator) +\end{minted} +} +\vfill + +12. Using \mintinline{python}{isinstance(numerator, int)} etc. in the +\mintinline{python}{__init__} function. +\end{frame} + +\begin{frame}[fragile]{General remarks} +\begin{itemize} +\item As always, more docstrings and \emph{more} comments; +\item All \mintinline{python}{import}s on the top of the file; +\item \mintinline{python}{a is b} does \emph{not} check for numerical +equality: use \mintinline{python}{==}; +\item \emph{Never} use bitwise operators: \mintinline{python}{&, |, ^, ~}: +use \mintinline{python}{and or not}; +\item Prefer not calling the special functions, e.g., +\mintinline{python}{__add__} directly: use \mintinline{python}{+}; +\item Try to make your code look \emph{beautiful}. +\end{itemize} +\end{frame} +\end{document} -- GitLab