 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
2d barcode generator vb.net The Factorial Numbers Again in Software
EXAMPLE 4.12 The Factorial Numbers Again EAN 13 Scanner In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. EAN13 Supplement 5 Generator In None Using Barcode maker for Software Control to generate, create European Article Number 13 image in Software applications. This program has the same effect as the one in Example 4.9 on page 65: int main() { long bound; cout << "Enter a positive integer: "; cin >> bound; EAN13 Decoder In None Using Barcode recognizer for Software Control to read, scan read, scan image in Software applications. GTIN  13 Creation In Visual C#.NET Using Barcode generator for .NET Control to generate, create EAN13 image in Visual Studio .NET applications. TeamLRN
EAN13 Supplement 5 Drawer In .NET Using Barcode generation for ASP.NET Control to generate, create GS1  13 image in ASP.NET applications. EAN13 Supplement 5 Maker In .NET Framework Using Barcode creator for Visual Studio .NET Control to generate, create EAN13 image in VS .NET applications. CHAP. 4] EAN13 Maker In VB.NET Using Barcode generation for .NET Control to generate, create GS1  13 image in Visual Studio .NET applications. Drawing EAN / UCC  14 In None Using Barcode generator for Software Control to generate, create USS128 image in Software applications. ITERATION
Paint Code 128C In None Using Barcode drawer for Software Control to generate, create USS Code 128 image in Software applications. Creating EAN13 In None Using Barcode printer for Software Control to generate, create EAN13 image in Software applications. cout << "Factorial numbers that are <= " << bound << ":\n1, 1"; long f=1; for (int i=2; f <= bound; i++) { f *= i; cout << ", " << f; } } Enter a positive integer: 1000000 Factorial numbers < 1000000: 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880 Universal Product Code Version A Printer In None Using Barcode generator for Software Control to generate, create UCC  12 image in Software applications. Making Code 3/9 In None Using Barcode drawer for Software Control to generate, create Code39 image in Software applications. This for loop program has the same effect as the do..while loop program because it executes the same instructions. After initializing f to 1, both programs initialize i to 2 and then repeat the following five instructions: print f, multiply f by i, increment i, check the condition (f <= bound) , and terminate the loop if the condition is false. Printing EAN  14 In None Using Barcode maker for Software Control to generate, create ITF14 image in Software applications. Bar Code Drawer In VS .NET Using Barcode drawer for Reporting Service Control to generate, create bar code image in Reporting Service applications. The for statement is quite flexible, as the following examples demonstrate. EXAMPLE 4.13 Using a Descending for Loop Generating Linear In Visual Studio .NET Using Barcode generation for .NET Control to generate, create 1D image in .NET framework applications. Barcode Recognizer In Java Using Barcode reader for Java Control to read, scan read, scan image in Java applications. This program prints the first ten positive integers in reverse order: int main() { for (int i=10; i > 0; i) cout << " " << i; } 10 9 8 7 6 5 4 3 2 1 GTIN  128 Encoder In .NET Framework Using Barcode creator for .NET Control to generate, create USS128 image in Visual Studio .NET applications. Print EAN13 In Java Using Barcode maker for Java Control to generate, create EAN13 image in Java applications. EXAMPLE 4.14 Using a for Loop with a Step Greater than One
DataMatrix Creator In None Using Barcode maker for Excel Control to generate, create DataMatrix image in Microsoft Excel applications. Printing USS128 In None Using Barcode generator for Microsoft Excel Control to generate, create EAN / UCC  14 image in Office Excel applications. This program determines whether an input number is prime: int main() { long n; cout << "Enter a positive integer: "; cin >> n; if (n < 2) cout << n << " is not prime." << endl; else if (n < 4) cout << n << " is prime." << endl; else if (n%2 == 0) cout << n << " = 2*" << n/2 << endl; else { for (int d=3; d <= n/2; d += 2) if (n%d == 0) { cout << n << " = " << d << "*" << n/d << endl; exit(0); } cout << n << " is prime." << endl; }; } Enter a positive integer: 101 101 is prime. Enter a positive integer: 975313579 975313579 = 17*57371387 Note that this for loop uses an increment of 2 on its control variable i. ITERATION
[CHAP. 4
EXAMPLE 4.15 Using a Sentinel to Control a for Loop
This program finds the maximum of a sequence of input numbers: int main() { int n, max; cout << "Enter positive integers (0 to quit): "; cin >> n; for (max = n; n > 0; ) { if (n > max) max = n; cin >> n; } cout << "max = " << max << endl; } Enter positive integers (0 to quit): 44 77 55 22 99 33 11 66 88 0 max = 99 This for loop is controlled by the input variable n; it continues until n 0. When an input variable controls a loop this way, it is called a sentinel. Note the control mechanism (max = n; n > 0; ) in this for loop. Its update part is missing, and its initialization max = n has no declaration. The variable max has to be declared before the for loop because it is used outside of its block, in the last output statement in the program. EXAMPLE 4.16 Using a Loop Invariant to Prove that a for Loop is Correct
This program finds the minimum of a sequence of input numbers. It is similar to the program in Example 4.15: int main() { int n, min; cout << "Enter positive integers (0 to quit): "; cin >> n; for (min = n; n > 0; ) { if (n < min) min = n; // INVARIANT: min <= n for all n, and min equals one of the n cin >> n; } cout << "min = " << min << endl; } Enter positive integers (0 to quit): 44 77 55 22 99 33 11 66 88 0 min = 11 The fullline comment inside the block of the for loop is called a loop invariant. It states a condition that has two characteristic properties: (1) it is true at that point on every iteration of the loop; (2) the fact that it is true when the loop terminates proves that the loop performs correctly. In this case, the condition min <= n for all n is always true because the preceding if statement resets the value of min if the last input value of n was less than the previous value of min. And the condition that min equals one of the n is always true because min is initialized to the first n and the only place where min changes its value is when it is assigned to a new input value of n. Finally, the fact that the condition is true when the loop terminates means that min is the minimum of all the input numbers. And that outcome is precisely the objective of the for loop.

