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typedef type alias; where type is the given type and alias is the new name. For example, if you are used to
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programming in Pascal, you might want to use these type aliases:
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typedef long Integer; typedef double Real;
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Then you could declare variables like this:
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Integer n = 22; const Real PI = 3.141592653589793; Integer frequency[64]; Note the syntax for the typedef of an array type: typedef element-type alias[];
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It shows that the number of elements in an array is not part of its type.
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A typedef statement does not define a new type; it only provides a synonym for an existing type. For example, the sum() function defined in Example 6.9 on page 131 could be called by
cout << sum(frequency,4);
even though the frequency[] array is declared (above) to have elements of type Integer. There is no conflict in the parameter because Integer and int are merely different names for the same type. The next example shows another use for typedefs. EXAMPLE 6.18 The Bubble Sort Again
This is the same program as in Example 6.13 on page 134. The only change is the typedef for the type name Sequence which is then used in the parameter lists and the declaration of a in main(): typedef float Sequence[]; void sort(Sequence,int); void print(Sequence,int); int main() { Sequence a = {55.5, 22.5, 99.9, 66.6, 44.4, 88.8, 33.3, 77.7}; print(a,8); sort(a,8); print(a,8); } void sort(Sequence a, int n) { for (int i=n-1; i>0; i--) for (int j=0; j<i; j++) if (a[j] > a[j+1]) swap(a[j],a[j+1]); } Note the typedef: typedef float Sequence[]; The brackets [] appear after the alias type name Sequence. This alias is then used without brackets to declare array variables and formal parameters.
6.11 MULTIDIMENSIONAL ARRAYS The arrays we have used previously have all been one-dimensional. This means that they are linear; i.e., sequential. But the element type of an array can be almost any type, including an array type. An array of arrays is called a multidimensional array. A one-dimensional array of one-dimensional arrays is called a two-dimensional array; a one-dimensional array of two-dimensional arrays is called a three-dimensional array; etc. The simplest way to declare a multidimensional array is like this:
double a[32][10][4];
This is a three-dimensional array with dimensions 32, 10, and 4. The statement
a[25][8][3] = 99.99
would assign the value 99.99 to the element identified by the multi-index (25,8,3). EXAMPLE 6.19 Reading and Printing a Two-Dimensional Array
This program shows how a two-dimensional array can be processed: void read(int a[][5]); void print(cont int a[][5]);
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int main() { int a[3][5]; read(a); print(a); } void read(int a[][5]) { cout << "Enter 15 integers, 5 per row:\n ; for (int i=0; i<3; i++) { cout << "Row " << i << ": "; for (int j=0; j<5; j++) cin >> a[i][j]; } } void print(const int a[][5]) { for (int i=0; i<3; i++) { for (int j=0; j<5; j++) cout << " " << a[i][j]; cout << endl; } } Enter 15 integers, 5 per row: Row 0: 44 77 33 11 44 Row 1: 60 50 30 90 70 Row 2: 85 25 45 45 55 44 77 33 11 44 60 50 30 90 70 85 25 45 45 55 Notice that in the functions parameter lists, the first dimension is left unspecified while the second dimension (5) is specified. This is because the two-dimensional array a[][] is stored as a one-dimensional array of three 5-element arrays. The compiler does not need to know how many of these 5-element arrays are to be stored, but it does need to know that they are 5-element arrays.
When a multi-dimensional array is passed to a function, the first dimension is not specified, while all the remaining dimensions are specified. EXAMPLE 6.20 Processing a Two-Dimensional Array of Quiz Scores
const NUM_STUDENTS = 3; const NUM_QUIZZES = 5; typedef int Score[NUM_STUDENTS][NUM_QUIZZES]; void read(Score); void printQuizAverages(Score); void printClassAverages(Score); int main() { Score score; cout << "Enter " << NUM_QUIZZES << " scores for each student:\n"; read(score); cout << "The quiz averages are:\n"; printQuizAverages(score); cout << "The class averages are:\n"; printClassAverages(score); }
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