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The Binary Search is far more efficient than the Linear Search because each iteration reduces the search by a factor of two. For example, if the array has 1,000 elements, the Linear search could require 1,000 iterations, while the Binary search would not require more than 10. 5.9 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 5.14 Days of the Week
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This program defines an array high of seven f loa ts, representing the high temperatures for the seven days of a week:
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#include main0 <iostream.h>
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enum Day {sun, mon, tue, wed, thu, fri, sat}; float high[sat+l] = (88.3, 95.0, 91.2, 89.9, 91.4, 92.5, 86.7); for (Day day = sun; day C= sat; day++) tout cc "The high temperature for day ' cc day CC ' was ' CC high[day] CC endl;
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This program defines the type Day so that any variable declared to have this type may be assigned any of the 7 values sun, mon, tue, wed, thu, fri, or sat. This type can then be used the same way that int or any other type is used. The array size is sat+1 because sat = 6 and the array needs 7 elements. The variable day, declared as an index in the for loop, takes the values sun, mon, tue, wed, thu, f ri, or sat. Remember that they are really just like the integers 0, 1,2, 3,4,5, and 6. Note that it is not possible to print the names of the symbolic constants. Thus the values of the variable day printed by tout are 0, 1, 2, etc., not sun, mon, tue, etc.
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The advantage of using enumeration constants this way is that they render your code selfdocumenting. For example, the for loop control
for (Day day = sun; day C= sat; day++)
speaks for itself. An enumeration type is really like the short and char types. But it is different in that the values for the enumeration type have been given symbolic names, and the values need not be consecutive. It is really just another way of declaring a list of integer constants. Appendix D shows how enumeration types fit into the hierarchy of all C++ types.
ARRAYS
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EXAMPLE 5.15 Boolean Qpe
This shows how to implement a boolean type: enum Boolean {false, true};
// Prompts user for personnel information: void getInfo(Boolean& isMarried, Boolean& spouseIsEmployed); main0 Boolean isMarried, spouseIsEmp1oyed; getInfo(isMarried, spouseIsEmployed); if (isMarried) { tout cc "You are married.\n"; if (spouseIsEmployed) tout CC "Your spouse is employed.\n"; else tout CC "Your spouse is not employed.\n"; } else tout CC "You are not married.\n";
void getInfo(Boolean&
isMarried,
Boolean& spouseIsEmployed)
char ans; tout cc "Are you married "; tin >> ans; isMarried = (ans == 'y' II ans == 'Y'); if (isMarried) { tout cc "IS your spouse employed "; tin >> ans; spouseIsEmp1oyed = (ans == 'y' II ans == 'Y'); } else spouseIsEmployed = false;
Here the symbolic constant false has the numeric value 0, and the symbolic constant true has the numeric value 1. That makes these artificial boolean values consistent with standard C++ which recognizes the zero value as meaning false and non-zero values as meaning true when used in conditions such as if (isMarried)
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ARRAYS
5.10 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+l] = (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 name (Le., an alias) for a specified type. The syntax is
typedef type alias;
where type is the given type and alias is the new name. For example, if you are used to programming in Pascal, you might want to use these type aliases:
typedef typedef long Integer; double Real;
You could then use the names Integer and Real to declare variables of type long int and double, like this:
Integer n = 22; const Real pi = 3.141592653589793; Integer frequency[64];
Note the syntax for the typedef of an array type:
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