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EXAMPLE 6.16 Using the assert() Function to Enforce a Precondition
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This program tests an improved version of the search() function from Example 6.14. This version uses the isNondecreasing() function from Example 6.15 to determine whether the array is sorted. It passes the resulting boolean return value to the assert() function so that the search will not be carried out if the array is not sorted: #include <cassert> // defines the assert() function #include <iostream> // defines the cout object using namespace std; int index(int x, int a[], int n); int main() { int a[] = { 22, 33, 44, 55, 66, 77, 88, 60 }; cout << "index(44,a,7) = " << index(44,a,7) << endl; cout << "index(44,a,7) = " << index(44,a,8) << endl; cout << "index(60,a,7) = " << index(60,a,8) << endl; } bool isNondecreasing(int a[], int n); int index(int x, int a[], int n) { // PRECONDITION: a[0] <= a[1] <= ... <= a[n-1]; // binary search: assert(isNondecreasing(a,n)); int lo=0, hi=n-1, i; while (lo <= hi) { i = (lo + hi)/2; if (a[i] == x) return i; if (a[i] < x) lo = i+1; // continue search in a[i+1..hi] else hi = i-1; // continue search in a[lo..i-1] } return n; // x was not found in a[0..n-1] } index(44,a,7) = 2 Here, the array a[] is not completely sorted. But its first 7 elements are in order. So on the first call index(44,a,7), the index() function makes the call isNondecreasing(a,7) which returns the boolean value true to the assert() function, and the output is the same as in Example 6.14. But on the second call index(44,a,8), the subsequent call isNondecreasing(a,8) returns the boolean value false to the assert() function which then aborts the program, causing Windows to display the alert panel shown here.
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6.9 USING ARRAYS WITH ENUMERATION TYPES
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Enumeration types were described in 2. They are naturally processed with arrays.
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EXAMPLE 6.17 Enumerating the Days of the Week
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This program defines an array high[] of seven floats, representing the high temperatures for the seven days of a week:
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int main() { enum Day { SUN, MON, TUE, WED, THU, FRI, SAT }; float high[SAT+1] = {88.3, 95.0, 91.2, 89.9, 91.4, 92.5, 86.7}; for (int day = SUN; day <= SAT; day++) cout << "The high temperature for day " << day << " was " << high[day] << endl; } The high temperature for day 0 was 88.3 The high temperature for day 1 was 95.0 The high temperature for day 2 was 91.2 The high temperature for day 3 was 89.9 The high temperature for day 4 was 91.4 The high temperature for day 5 was 92.5 The high temperature for day 6 was 86.7
The array size is SAT+1 because SAT has the integer value 6 and the array needs 7 elements. The int variable day, declared as an index in the for loop, takes the values SUN, MON, TUE, WED, THU, FRI, or SAT. Remember that they are actually stored as the integers 0, 1, 2, 3, 4, 5, and 6. Note that it is not possible to print the names of the symbolic constants.
The advantage of using enumeration constants this way is that they render your code self-documenting. For example, in Example 6.17 the for loop control
for (int day = SUN; day <= SAT; day++)
speaks for itself. 6.10 TYPE DEFINITIONS Enumeration types are one way for programmers to define their own types. For example,
enum Color { RED, ORANGE, YELLOW, GREEN, BLUE, VIOLET };
defines the type Color which can then be used to declare variables like this:
Color shirt = BLUE; Color car[] = { GREEN, RED, BLUE, RED }; float wavelength[VIOLET+1] = {420, 480, 530, 570, 600, 620}; Here, shirt is a variable whose value can be any one of the 6 values of the type Color and is initialized to have the value BLUE, car is an array of 4 such Color type variables indexed from 0 to 3, and wavelength is an array of 6 float type variables indexed from RED to VIOLET. C++ also provides a way to rename existing types. The keyword typedef declares a new
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