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Because it is so easy to convert between integer types and real types in C++, it is easy to forget the distinction between them. In general, integers are used for counting discrete things, while reals are used for measuring on a continuous scale. This means that integer values are exact, while real values are approximate. In the C programming language, the syntax for casting v as type T is T)v. C++ inherits this form also, so we could have done n=int(v) as n=(int)v.
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3 Iteration In this chapter: The whileStatement The do...while Statement The for Statement The break Statement The continue Statement The goto Statement Constants, Variables, and Objects Iteration is the repetition of a statement or block of statements in a program. C++ has three iteration statements: the while statement, the do... while statement, and the for statement. Iteration statements are also called loops because of their cyclic nature. The while Statement The while statement has the syntax while (condition) statement; First the condition is evaluated. If it is nonzero (i.e., true), the statement is executed and the condition is evaluated again. These two steps are repeated until the condition evaluates to zero (i.e., is
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false). Note that parentheses are required around the condition. Example 3.1 Printing Cubes void main() { int n; cout <<"Enter >0 ints.\nTerminate with 0\n"; cin >>n; while (n>O) { cout <<" cubed is " <<n*n*n <<"\n"; cin >>n; } } Enter >0 ints. Terminate with 0 2 cubed is 8 5 cubed is 125 0
First n is set to 2. The while statement tests the condition (n>0). Since the condition is true, the statements inside the loop are executed. The second statement reads 5 into n. At the end of the loop, control returns to the condition (n> 0 ). It is still true, so the statements inside the loop are executed again. Each time control reaches the end of the loop, the condition is tested. After the third iteration, n is 0, and the condition is false. That terminates the loop. Most C++ programmers indent all the statements that lie inside a loop to make it easier to see the logic of the program. When you want several statements to execute within a loop, you need to use braces { } to combine them into a compound statement. Example 3.1 illustrates the standard way to format a compound statement in a loop. The left brace ends the loop's header line. The right brace is on a line by itself below the "w" of the while keyword. And the statements within the compound statement are all indented. Of course, the compiler doesn't care how the code is formatted. It would accept this format: while(n>0) {cout <<" cubed=" <<n*n*n <<'\n";cin >>n;} Most C++ programmers find using multiple lines as in Ex. 3.1 to be easier to read. Some C programmers also like to put the left brace on a line by itself, directly below the "w" of the while keyword.
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The do...while Statement The do... while statement is almost the same as the while statement. Its syntax is do statement while (condition); The only difference is that the do ... while statement executes the statement first and then evaluates the condition. These two steps are repeated until the condition evaluates to zero (i.e., is false). A do ... while loop will always iterate at least once, regardless of the value of the condition, because the statement executes before the condition is evaluated the first time. Example 3.2 The Factorial Function This program computes the factorial function: n!=(n)(n-i) (3)(2) (1).
void main() { int n, f=l; cout <<"Enter a positive integer: "; cin >>n; cout <<n <<" factorial is "; do { f *= n; n-; } while (n>l); cout <<f <<endl; }
The program initializes f to 1 and then multiplies it by the input number n and all the positive integers that are less than n. So 5!=(5)(4)(3)(2)(1)=120, and 8!=(8)(7)(6)(5)(4)(3)(2)(1)=40,320. The for Statement A loop is controlled by three separate parts: an initialization, a continuation condition, and an update. For example, in the program in Ex. 3.2, the loop control variable is n; its initialization is cin >>n, its continuation condition is n>1, and its update is n-. When these three parts are simple, the loop can be set up as a for loop. The syntax for the for statement is for (initialize; continue; update) The initialize, the continue, or the update may be empty.
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