From e100bef95de834547c2f84eee953976ec133a32d Mon Sep 17 00:00:00 2001 From: "Ivan I. Ovchinnikov" Date: Mon, 23 Aug 2021 12:20:03 +0300 Subject: [PATCH] listings fix (removed cyrillic from code) --- build/main.pdf | Bin 296510 -> 300982 bytes sections/04-variables.tex | 166 +++++++++++++++++++------------------- 2 files changed, 83 insertions(+), 83 deletions(-) diff --git a/build/main.pdf b/build/main.pdf index 86e8261bb6567815c0eccfe91390ad22a27edb24..d9bd3a1eb71a1d8461455f320d78afb6d371a54c 100644 GIT binary patch delta 98070 zcmY(JLy#t1v}G&p%u3s~ZQHi(O7lzGwr$(CZQFMC|GFprCVO%s&W*UE75l87D5REJ zq`G(@U{=<~M4)I80Giujm+a^@4Mxem#$iPvy#=)Vc?*-FWNBr9!@a_09dgcCC1%i1G)A^=9qj@i5i`OH3o(Bdvfn z1BdHiX$~E9@z~)e*7Jo02tNAjr30T}B2oWL=efp!Yj|Cd#2hemz=|-_E)bNco6$^oBgSzrMV~s zBgdsra*N?>9!gc>>o5&QoRT7stB}rUP)eC16prx@&{x~~@^3bq&ZGt-oFF7E}{&Z5k>Jv4J>+l>6|Dj)GRA!VL zmn15y=keVkvF-A6L-Nx`ZsWZt68SHaikTZnzp$Ji3h4Ocxk1Y=)qI!trfFElkA<}V zOt3bln=MI}Uw$UD50%jjgT&xgjoFzoT9&y#eAFe)&Vi#4fO(^ae*DcwD&u_RRkiF7 zNh6l0T%BBhbq&?>`Lej8dSwMVvzt)7(qhW!xvKes=rpmW<>|^G(>4$cmf1U%+43}- 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z&}j-$=rHvxAg%hLI)^K%37_LmR#3ex(0e`zQ+DlyR01j2G~D;|4{(3^6xQo3nA7@r zE~ZcDxW&>wzJ3&-x1OV8On#(Vs3}_`&T=%NwoV@-V-I9>tiX{_Dk{wFRzKAJ>%s^= zg`kog1Xmvfp-z!>Ouau-be=y02eI-H{Fhq9rUAS~l$SdGk4AEK-+~rDiuV3ba!V+A za&;)btzbkY5(GgO;Y@4kj^YH-;EfGq2BFHHUNFl9Rac#l*R(x*T9fBi)6Q7k9m@pU z_$h&PHGvw)Xo!L#F8@o@?BU(O;W4FeERy6}yA!SGdh;-JqG9m&VaId(UrIavWt*;{w->sn_Wn2;5FVS)(#yQjVxcD7^Rcnfaxw!%-0g``&Dr#E_4 Y%KY@$bXZbkE^c-Z5)F-%;uoa<0+-Tv0RR91 diff --git a/sections/04-variables.tex b/sections/04-variables.tex index 430a51e..2abd579 100644 --- a/sections/04-variables.tex +++ b/sections/04-variables.tex @@ -40,15 +40,15 @@ $ ./program $ \end{verbatim} \paragraph{Числа с плавающей точкой (дробные)} представлены двумя типами: четырёхбайтный \code{float} и восьмибайтный \code{double} (также называемый long float). Хранятся в памяти в неявном виде, а разделённые на мантиссу экспоненту и знак, что делает их одними из самых сложных в работе\footnote{Здесь имеется ввиду внутренняя работа самого компьютера, а не работа с такими типами с точки зрения программиста. Именно из-за сложности, многие старые процессорные архитектуры не имели возможности работать с переменными такого типа}. При работе с числами с плавающей точкой нужно обращать особенное внимание на тип переменной, поскольку сравнение внешне одинаковых чисел разных типов с вероятностью 99\% даст ложный результат. -% \begin{lstlisting}[language=C,style=CCodeStyle] -% float real = 5,345f; // 4 bytes -% double realdouble = 5,345; // 8 bytes -% printf("float and double: %d\n", real == realdouble); +\begin{lstlisting}[language=C,style=CCodeStyle] +float real = 5,345f; // 4 bytes +double realdouble = 5,345; // 8 bytes +printf("float and double: %d\n", real == realdouble); -% int a = 10; -% int b = 10; -% printf("integers: %d\n", a == b); -% \end{lstlisting} +int a = 10; +int b = 10; +printf("integers: %d\n", a == b); +\end{lstlisting} Запустим код и убедимся в этом: \begin{verbatim} $ ./program @@ -57,92 +57,92 @@ integers: 1 $ \end{verbatim} \paragraph{Тип данных - указатель.} Как было сказано - переменная это именованный контейнер. У каждого такого контейнера есть свой собственный адрес в оперативной памяти. Язык С позволяет узнать этот адрес и работать с ним. Оператор взятия адреса это знак амперсанд (\&), написанный перед именем переменной. То есть у любой переменной всегда есть значение и адрес где это значение хранится. Для вывода в консоль адреса используется специальный заполнитель - \code{\%p}. -% \begin{lstlisting}[language=C,style=CCodeStyle] -% printf("Переменная а имеет значение: %d \n", a); -% printf("Переменная а хранится по адресу: %p \n", &a); -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +printf("Variable a has value: %d \n", a); +printf("Variable a stored at: %p \n", &a); +\end{lstlisting} При неоднократном запуске кода можно обратить внимание, что первые цифры в адресе всегда остаются неизменными, а последние меняются редко, это связано с тем, что в современных операционных системах пользователю для его работы чаще всего выделяется некоторое адресное пространство, которое потом просто переиспользуется и перезаписывается. При запуске точно такого же кода на Вашем компьютере, Вы увидите, что адрес хранения переменной наверняка будет отличаться, это нормально. \begin{verbatim} $ ./program -Переменная а имеет значение: 10 -Переменная а хранится по адресу: 0x7ffe6aa136cf +Variable a has value: 10 +Variable a stored at: 0x7ffe6aa136cf $ \end{verbatim} \subsection{Базовая арифметика} Раз уж в предыдущем разделе мы коснулись арифметических выражений, поговорим немного об арифметике. \paragraph{Простые арифметические операции.} В языке С поддерживаются все базовые арифметические операции, такие как сложение, вычитание, умножение, деление. Операции бинарной арифметики (булевой алгебры), такие как \code{И}, \code{ИЛИ}, \code{НЕ}, \code{ИСКЛЮЧАЮЩЕЕ ИЛИ}, \code{СДВИГИ}. А также все вышеперечисленные операции с последующим присваиванием в первую переменную. Для начала, инициализируем переменную типа \code{int} значением, например, \code{70}, и выведем ее в консоль. Мы можем производить с этой переменной все привычные базовые арифметические манипуляции, ровно также, как мы можем производить эти манипуляции с литералом, который ей присваивается: -% \begin{lstlisting}[language=C,style=CCodeStyle] -% int variable = 70; -% printf("Переменная variable = %d\n", variable); -% printf("Переменная variable = %d\n", variable + 10); -% variable = variable + 50; -% printf("Переменная variable = %d\n", variable); -% variable = 123 + 50 * 12; -% printf("Переменная variable = %d\n", variable); -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +int variable = 70; +printf("The variable = %d\n", variable); +printf("The variable = %d\n", variable + 10); +variable = variable + 50; +printf("The variable = %d\n", variable); +variable = 123 + 50 * 12; +printf("The variable = %d\n", variable); +\end{lstlisting} То есть, нам доступны операции сложения, умножения, вычитания и деления. Как видно в результате работы программы, есть прямая зависимость между действительным значением переменной и порядком присваивания в неё значения, так в третьем выводе значение равно 120, то есть $70 + 50$, а значит во втором выводе присваивания нового значения $70 + 10$ в переменную \code{variable} не произошло. \begin{verbatim} $ ./program -Переменная variable = 70 -Переменная variable = 80 -Переменная variable = 120 -Переменная variable = 723 +The variable = 70 +The variable = 80 +The variable = 120 +The variable = 723 $ \end{verbatim} \paragraph{Оператор деления} заслуживает особенного внимания, поскольку у него есть два режима работы, отличающие этот оператор от привычной нам арифметики: если мы производим операции с целыми числами такими как \code{int}, \code{short} или \code{char} оператор деления всегда будет возвращать только целые числа, \textbf{отбросив дробную часть}. Это происходит из-за оптимизаций компилятора, то есть если операнды - это целые числа, то и результатом по мнению компьютера может быть только целое число, а из-за строгости типизации мы не можем положить в целочисленную переменную значение с плавающей точкой. Таким образом, отслеживание точности вычислений полностью возлагается на плечи программиста. Важно, что компилятор нам в этом помогает, хоть и не делает всю работу за нас. Компилятор, при преобразовании операций автоматически приводит типы операндов к наиболее подходящему и широкому. То есть, если мы, например, складываем два числа \code{int} и \code{char}, то \code{char} будет автоматически расширен до \code{int}, потому что максимальное значение \code{char} точно поместится в переменную типа \code{int}, а максимальное значение \code{int} точно никак не сможет поместиться в переменную с типом \code{char}. Точно также если умножать \code{int} и \code{float}, то \code{int} будет преобразован во \code{float} по той же причине - \code{int} совсем никак не умеет работать с плавающей точкой, а \code{float} вполне может содержать число без дробной части. Из-за этого языки С/С++ считаются слабо типизированными. -% \begin{lstlisting}[language=C,style=CCodeStyle] -% variable = 10; -% variable = variable / 3; -% printf("Переменная variable = %d\n", variable); +\begin{lstlisting}[language=C,style=CCodeStyle] +variable = 10; +variable = variable / 3; +printf("The variable = %d\n", variable); -% float var = 10; -% var = var / 3; -% printf("Переменная var = %f\n", var); -% \end{lstlisting} -При использовании оператора деления с целочисленными операндами теряется точность вычислений, что недопустимо. +float var = 10; +var = var / 3; +printf("The var = %f\n", var); +\end{lstlisting} +В примере выше, обратите внимание, что переменная \code{variable} не была инициализирована, а ей просто было присвоено значение. Это сделано потому, что данный участок кода является продолжением кода примеров простой арифметики из предыдущего параграфа. При использовании оператора деления с целочисленными операндами теряется точность вычислений, что недопустимо. \frm{Чтобы оператор деления отработал в не целочисленном режиме, нужно, чтобы хотя бы один операнд был не целочисленным.} Чаще всего целочисленные переменные используют в качестве счётчиков, индексов и других вспомогательных переменных, поэтому математические операции с ними весьма распространены. \begin{verbatim} $ ./program -Переменная variable = 3 -Переменная var = 3.333333 +The variable = 3 +The var = 3.333333 $ \end{verbatim} \paragraph{Деление по модулю.} Также особенного внимания заслуживает оператор получения остатка от деления, иногда называемый оператором взятия по модулю. Записывается как символ \code{\%} и возвращает остаток от целочисленного деления первого числа на второе: -% \begin{lstlisting}[language=C,style=CCodeStyle] -% int remain = variable % 5; -% printf("Остаток от деления %d на %d: %d\n", variable, 5, remain); -% variable = variable + 50; -% printf("Переменная variable = %d\n", variable); -% variable += 50; -% printf("Переменная variable = %d\n", variable); -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +int remain = variable % 5; +printf("Division remainder of %d by %d: %d\n", variable, 5, remain); +variable = variable + 50; +printf("The variable = %d\n", variable); +variable += 50; +printf("The variable = %d\n", variable); +\end{lstlisting} Любые арифметические операции можно выполнить с последующим присваиванием в первую переменную. То есть это означает, что запись вида \code{variable = variable + 50;} можно сократить до \code{variable += 50;} и запустив следующий код мы можем убедиться, что начальное значение переменной увеличилось сначала на 50, а затем ещё на 50. \begin{verbatim} $ ./program -Остаток от деления 3 на 5: 3 -Переменная variable = 53 -Переменная variable = 103 +Division remainder of 3 by 5: 3 +The variable = 53 +The variable = 103 $ \end{verbatim} \paragraph{Инкремент и декремент.} Так, бегло рассмотрев арифметику в языке С нельзя не упомянуть об операторах увеличения и уменьшения значения переменной на единицу с последующим присваиванием. Они называются операторами инкремента (\code{++}) и декремента (\code{\textminus\textminus}). Это унарный оператор, поэтому записывается со своим операндом строго без пробелов: \code{variable++;} и редко используется как самостоятельный оператор на отдельной строке. У операторов инкремента и декремента есть два вида записи: префиксный и постфиксный. Их отличает время применения текущего значения и его изменения. При постфиксной записи, сначала происходит применение текущего результата, а затем его изменение, а при префиксной записи - сначала изменение, а затем применение. Например: -% \begin{lstlisting}[language=C,style=CCodeStyle] -% variable = 50; -% printf("1. Пост-инкремент: %d\n", variable++); -% printf("1. Следующая строка: %d\n", variable); -% variable = 50; -% printf("2. Пре-инкремент: %d\n", ++variable); -% printf("2. Следующая строка: %d\n", variable); -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +variable = 50; +printf("1. Postfix increment: %d\n", variable++); +printf("1. Next line of code: %d\n", variable); +variable = 50; +printf("2. Prefix increment: %d\n", ++variable); +printf("2. Next line of code: %d\n", variable); +\end{lstlisting} В результате выполнения этого кода мы можем видеть на экране следующий результат: \begin{verbatim} $ ./program -1. Пост-инкремент: 50 -1. Следующая строка: 51 -2. Пре-инкремент: 51 -2. Следующая строка: 51 +1. Postfix increment: 50 +1. Next line of code: 51 +2. Prefix increment: 51 +2. Next line of code: 51 $ \end{verbatim} \subsection{Булева алгебра и двоичные вычисления} @@ -221,19 +221,19 @@ $ \end{itemize} На основе этих знаний мы можем для примера написать программу, меняющую местами значения переменных без использования третьей, вспомогательной и быть уверенными, что переполнения переменных не произойдёт, как это могло бы произойти, например, при использовании сложения и обратного вычитания. Объявим две переменных \code{a} и \code{b}, присвоим им значения и выведем их в консоль. Также подготовим вывод измененных значений \code{a} и \code{b} в консоль: -% \begin{lstlisting}[language=C,style=CCodeStyle] -% char a = 11; -% char b = 15; -% printf("a = %d, b = %d\n", a, b); -% // here will be the swapping algorithm -% printf("a = %d, b = %d\n", a, b); -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +char a = 11; +char b = 15; +printf("a = %d, b = %d\n", a, b); +// here will be the swapping algorithm +printf("a = %d, b = %d\n", a, b); +\end{lstlisting} Далее, напишем некую конструкцию, которая при детальном изучении не представляет из себя никакой магии. В переменную \code{а} нужно будет записать результат вычисления \code{a \^{} b}, в переменную \code{b} нужно будет записать результат вычисления \code{b \^{} a} и наконец в переменную \code{а} нужно будет записать результат вычисления \code{a \^{} b}, в коде ниже будет приведена сразу сокращённая запись: -% \begin{lstlisting}[language=C,style=CCodeStyle] -% a ^= b; -% b ^= a; -% a ^= b; -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +a ^= b; +b ^= a; +a ^= b; +\end{lstlisting} Нужно сразу оговориться, что этот алгоритм может некорректно работать с одинаковыми и отрицательными числами, это будет зависеть от компилятора, поэтому, если включать этот алгоритм в состав более сложных, лучше осуществлять дополнительные проверки. Вывод этой конкретной программы будет следующим: \begin{verbatim} $ ./program @@ -278,16 +278,16 @@ a = a ^ b; //00001111 \paragraph{Операции сдвига} бывают логические, арифметические и циклические. В языке С реализован логический сдвиг, то есть недостающие разряды при сдвиге заполняются нулями. Итак, допустим, что нам нужно переменную \code{a} сдвинуть влево на \code{3} бита, на самом деле это означает что мы переменную \code{a} умножим на $2^3$. А переменную \code{b} мы сдвинем вправо на \code{2} бита, это означает, что мы переменную \code{b} разделим на $2^2$, при этом важно упомянуть, что будет произведено целочисленное деление. \frm{\textbf{Сдвиг влево} числа k на n - это \textit{умножение} $k*2^n$. \textbf{Сдвиг вправо} числа k на n - это \textit{целочисленное деление} $\frac{k}{2^n}$.} Это тоже самое что записать $a * 8$ и $b / 4$. Просто на маломощных компьютерах выполнится это гораздо быстрее. Бинарная алгебра это большая и сложная тема. -% \begin{lstlisting}[language=C,style=CCodeStyle] -% a = 15; //00001111 -% b = 11; //00001011 -% printf("a = %d", a); -% a = a << 3; // 15 * 8 -% printf("a = %d", a); //a = 120; //01111000 -% printf("b = %d", b); -% b = b >> 2; // 11 / 4 -% printf("b = %d", b); //b = 2; //00000010 -% \end{lstlisting} +\begin{lstlisting}[language=C,style=CCodeStyle] +a = 15; //00001111 +b = 11; //00001011 +printf("a = %d", a); +a = a << 3; // 15 * 8 +printf("a = %d", a); //a = 120; //01111000 +printf("b = %d", b); +b = b >> 2; // 11 / 4 +printf("b = %d", b); //b = 2; //00000010 +\end{lstlisting} Применять бинарную алгебру можно и в больших проектах, работающих со сложными высокоуровневыми абстракциями. Поддержка бинарных операций есть в подавляющем числе языков программирования. \begin{verbatim} $ ./program