Objects Types, Variables, and Constants Chapter 3 1 Overview of C++ Statements C++ Statements Declarations; Objects Expressions; Other Operations 2 Expressions In a C++ program, any finite sequence of ________ and __________ that combine to produce a value is called an expression. Examples from our temperature problem: __________ 1.8 * celsius 1.8 * celsius + 32 ________________________________________ Aside #1: expression; is a statement.) Aside #2: expressions may be empty We focus now on C++ objects and will look at operations later. Even: 1.8; 32; "Hello"; 1 + 1; ;;;; 3 Object Categories There are three kinds of objects: See Footnote on p.46 ___________: unnamed objects having a value (0, -3, 2.5, 2.998e8, 'A', "Hello\n", ...) __________: named objects whose values can Have memory change during program execution allocated to them __________: named objects whose values cannot change during program execution 4 5 basic types Literals – _______ literals are integers: 27, 0, 4, +4 Some Variations: unsigned, long, short Variations: float, long double – _______ literals are real numbers, and can be: fixed-point: -0.333, 0.5, 1.414, ... or E floating-point: 2.998e8, 0.2998e9, ... – There are just two _____ literals: false, true – _______ literals are single characters: 'A', 'a', '9', '$', '?', ... – _______ literals are sequences of characters: "Hello", "Goodbye", "Goodbye\n", ... Enclose in ' Not interchangeable Enclose in " 5 Variable Declarations Variables are used to store values, and can be either uninitialized or initialized. They must be _______________ before they are used. Examples: Declare only once ___________________ ___________________ ___________________ ___________________ cin >> celsius; _____________________________________________________ char letterGrade = 'A'; bool ok, done = false; • Pattern: type name; type name = expression; Allocates a memory location for values of this type and associates its address with name 6 Assignment Statements The value of a variable can be changed during execution by an assignment statement: Examples: _______________ ___________________________ letterGrade = 'B'; done = true; Changes value in name's memory location to value of expression Pattern: name = expression; 7 Constant Declarations Constants are used to represent a value with a meaningful name, and must be initialized. They cannot be changed later. Examples: ____________________________________________ ____________________________________________ Could use in Proj. 1.3 const char MIDDLE_INITIAL = 'A'; const string PROMPT = "Enter a number: "; Pattern: const type NAME = expression; Allocates a memory location for values of this type, associates its address with NAME, puts value of expression in it, and locks it. 8 Identifiers The name of an object is called an _________ (because it identifies the object). C++ identifiers must begin with a letter (underscores are permitted, but discouraged) followed by zero or more letters, digits or underscores. May not be C++ Valid: age, r2d2, myGPA, MAX_SCORE Invalid: keywords (See Appendix B) 123go, coffee-time, sam's, $name 9 Conventions Use meaningful identifiers for readability! We will use the following commonly-used convention to keep variable and constant objects distinct. • Constant names: all uppercase, with multiple words separated by underscores (e.g., ___________) • Variable names: all lowercase, with the first letter of each word after the first capitalized “camelback” (e.g., ___________) notation 10 char Objects Represented in memory by a ________ – ASCII uses 8 bits (1 byte) to represent a character, allowing for 28 = 256 different characters Java p.60 App. A – Unicode's first version used 16 bits to represent a character, allowing for 216 = 65,536 different characters. Now, 16, 24, or 32 bits. Most commonly used code in C++ is ASCII: 'A' = ________________ 'a' = 97 = 01100000 '0' = 48 = 00110000 chars can be treated as small integers; e.g,. char ch1 = 'A', ch2; int x = 2*ch1 + 1; ch2 = ch1 + 1; cout << x << ' ' << ch2 << '\n'; Output? ___________ 11 Escape Characters C++ provides a number of _________ characters : '\n' newline character '\t' horizontal tab '\v' '\f' '\a' '\\' '\'' '\"' '\ooo' vertical tab form feed alert/bell backslash char apostrophe double quote char with octal code ooo '\xhhh' char with hex code hhh See Appendix A 12 int Objects Three forms: – decimal (base-10) begin with 0 or a _________ digit or sign (-45, -2, 0, +21, 36, 65536, ...) – octal (base 8): begin with a ___ followed by octal digits (01, 02, 03, 04, 05, 06, 07, See second item on Other Course Information class page – ___________________________ _____________ ...) – hexadecimal(base 16): begin with ____ followed by digits with a, b, c, d, e, f = 10, 11, 12, 13, 14, 15 (0x1, 0x2, ..., 0x7, 0x8, 0x9, 0x , 0x , 0x , 0x , 0x , 0x , 0x , 0x , ...) 13 unsigned Objects For integer objects whose values are never negative, C++ provides the ______________type. They also may be expressed in decimal, octal, and hexadecimal forms. The major advantage of using unsigned instead of int when values being processed are known to be nonnegative is that larger values can be stored. 14 Ranges of Integer Values INT_MAX INT_MIN Using 32 bits, int values range from -231 (-2147483648) to 231-1 (2147483647), whereas unsigned values range from UINT_MAX 0 to 232-1 (4294967295). An int value "loses" one of its bits to the sign, and so the maximum int value is about half of the maximum unsigned value. <climits> defines INT_MIN, INT_MAX, UINT_MAX, and other constants that specify ranges of C++ integers; <cfloat> does this for C++ real values. (See App. D) 15 Strange Behavior of Integer Overflow Overflow: when a value gets out of range; for example, an integer exceeds INT_MAX = 231 - 1 = 2147483647. //-- Program to demonstrate the effects of overflow Output: #include <iostream> using namespace std; 2 20 200 2000 20000 200000 2000000 20000000 200000000 2000000000 -1474836480 -1863462912 -1454759936 -1662697472 552894464 int main() { int number = 2; for (int i = 1; i <= 15; i = i + 1) { cout << number << '\n'; number = 10 * number; overflow } } 16 Why this strange behavior? Check INT_MAX + 1, INT_MAX + 2, . . . //-- Program to demonstrate the modular "wrap-around" effect of overflow #include <iostream> #include <climits> using namespace std; int main() { int number = INT_MAX - 3; for (int i = 1; i <= 7; i = i + 1) { cout << number << '\n'; number = number + 1; } } Output: INT_MAX INT_MIN 2147483644 2147483645 2147483646 2147483647 -2147483648 -2147483647 -2147483646 Arithmetic is ___________________ INT_MIN . . . INT_MAX 17 int Representation Sec. 3.3 Integers are often represented internally in the ____________________ format, where the highorder (leftmost) bit indicates the number’s sign: 210 = 00000000000000102 110 = 00000000000000012 010 = 00000000000000002 -110 = 11111111111111112 -210 = 11111111111111102 Here we show 16 bits, but 32 or 64 are common. 18 Twos-Complement To find twos-complement representation of a negative number: Represent its absolute value in binary: (_________________) Invert (complement) the bits: (_________________) Try practice exercises — Week 3 of schedule Add 1 (_________________) Simpler: Flip all bits ________________________ 19 Why Use Two's Complement? Because usual algorithms for +, * work! + 0 1 0 0 1 1 1 10 * 0 1 0 0 0 1 0 1 5 + 7: 111 carry bits 0000000000000101 +0000000000000111 0000000000001100 5 + –6: 0000000000000101 +1111111111111010 1111111111111111 20 double Objects See Ch. 3, pp. 58-60 Real values are often represented in 64 bits using the IEEE floating point standard: 5.75 = = Try practice exercises on course schedule exponent (11 bits) 0 10000000001 01110000000000000000000000000000000000000000000000000 sign (1 bit) float (single precision): bias = 127; exponent: 8 bits mantissa: 23 bits mantissa (52 bits) 21 Problem: Binary representations of most real numbers do not terminate; e.g., 13.1 = 1101.00011001100110011… So they can't be stored exactly; error in this representation is called ____________________ //-- Effect of roundoff error #include <iostream> #include <cmath> using namespace std; int main() { for (double x = 0; x != 50.0; x = x + 0.1) { double y = x * sqrt(1 + sin(x)); cout << x << " " << y << '\n'; //if (x > 60) break; } } Patriot missile failure See Other Course Information Execution: 0 0 0.1 0.104873 0.2 0.218968 . . . 22.6 14.7859 22.7001 13.4103 22.8001 11.9884 . . . 49.9998 42.937 50.0998 45.7826 50.1998 48.5246 . . . 100.099 76.3241 . . . 22 /* temperature.cpp converts a Celsius temperature to Fahrenheit. John Doe CPSC 104X Lab 1 Jan. 6, 2011 Input: A Celsius temperature Output: Corresponding Fahrenheit temperature -----------------------------------------------*/ #include <iostream> using namespace std; // cin, cout, <<, >> int main() { cout << "John Doe CPSC 104X -- Lab 1\n\n"; cout << "** Convert Celsius temps to Fahrenheit **\n"; cout << "Please enter a temperature in Celsius: "; double celsius; cin >> celsius; double fahrenheit = 1.8 * celsius + 32; cout << celsius << " degrees Celsius is " << fahrenheit << " degrees Fahrenheit.\n"; } 23