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element-type alias[];
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It shows that the number of elements in an array is not part of its type. A typedef statement does not define a new type; it only provides a synonym for an existing type. For example, the ce 1 s ius function defined above could be called by
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tout << Celsius(x);
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where x is declared by
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double x = 100;
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There is no conflict in the parameter because Real and double name the same type. This is different from an enum statement which does define a new integer type. The next example shows another use for typedefs.
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EXAMPLE 5.16 The Bubble Sort Again
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This is the same progi-am as in Example 5.12;The only change is the typedef of Sequence which is then used in the $rameter lists and the declaration of a in main ( ) :
typedef float SequenceH; void sort(Sequence, const int); void print(const Sequence, const int);
main0
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 swap(float&,
float&);
// Bubble Sort: void sort(Sequence a, const int n) { for (int i = n-l; i > 0; i--) for (int j = 0; j c i; j++)
if Mjl > aLi+ > sww(a[jl ,aLi+ll);
void 1 print(const Sequence a, const int n)
for (int i = 0; i < 15; i++) tout << " 'I cc a[i]; tout << endl;
1 Note the typedef: typedef float Sequence[]; The brackets [ ] appear after the alias type name Sequence. Then this alias is used without brackets to declare may variables and formal parameters.
5.11 MULTIDIMENSIONAL ARRAYS The arrays we have considered previously have all been one-dimenbional. 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 twodimensional 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
CHAP. 51
ARRAYS
would assign the value 99.99 to the element identified by the multi-index (25,8,3).
EXAMPLE 5.17 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(const int a[][5]); main0 int a[3][5]; read(a); print(a);
void read(int a[][5]) 1 tout << "Enter 15 integers, 5 per row:\n"; for (int i = 0; i < 3; i++) { tout CC "Row ' cc i << ": "; for (int j = 0; j < 5; j++) tin >> a[i][j]; 1 1 void print(const int a[][5])
for (int i = 0; i c 3; i++) { for (int j = 0; j < 5; j++) tout cc " 'I cc a[i][j]; tout CC endl;
Notice that in the functions parameter lists, the first dimension is left unspecified while the second dimension (5) is specified. This is because a is stored as a one-dimensional array of 3 5-element arrays. The compiler does not need to know how many (3) 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.
ARRAYS
[CHAP. 5
EXAMPLE 5.18 Reading and Printing a Two-Dimensional Array
const numstudents = 3; const numQuizzes = 5; typedef int Score[numStudents][numQuizzes]; void read(Score); void printQuizAverages(const Score); void printClassAverages(const Score); main0 1 Score score; tout CC "Enter ' C-C numQuizzes cc " scores for each student:\n"; , readbcore); tout cc "The quiz averages are:\n"; printQuizAverages(score); tout << "The class averages are:\n"; printClassAverages(score); 1 void read(Score score)
for (int s = 0; s c numstudents; s++) { tout << "Student " -cc s << ": "; for (int q = 0; q -c numguizzes; q++) tin >> score[s] [q];
void printQuizAverages(const Score score) ( for (int s = 0; s < numstudents; s++) { float sum = 0.0; for (int q = 0; q -c numQuizzes; q++) sum += scorebl hl; tout C< "\tStudent It <C s << ": " cc sum/numQuizzes c< endl; > ) void 1 printClassAverages(const Score score)
for (int q = 0; q < numQuizzes; q++) { float sum = 0.0; for (int s = 0; s < numstudents; s++) sum += scorebl hl ; tout c-c "\tQuiz " cc q << ": " cc sum/numStudents cc endl; 1 1
This uses a typede f to define the alias Score for the two-dimensional array type. This makes the function headers more readable.
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