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School of Information Technology and Engineering, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada

Let Y be an n-bit positive number and X a natural number belonging to the range 0 X , Y, so that it can also be represented as an n-bit number. The circuit corresponding to the basic division algorithm 6.1 (with q(i) substituted by q(p 2 i) in order that the least signi cant bit of q be q(0)) is an iterative circuit made up of p cells, which implement the division_step procedure (Figure 13.1). The divider structure is shown in Figure 13.2 (combinational and sequential implementations). In the binary case the division_step block (base-2 division step, Algorithm 6.2) consists of an (n 1)-bit subtractor and an n-bit 2-to-1 multiplexer (Figure 13.1). The corresponding cost C(n, p) and computation

The chapter begins with a look at the support C++ provides for an array type that is, a sequential collection of elements of one type, such as an array of integer values, perhaps representing test scores, or an array of strings, perhaps representing the individual words contained within a text file such as this chapter We then look at the weaknesses of the built-in array type and improve on it by providing an object-based Array type class and then extend that to an object-oriented hierarchy of specialized Array subtypes Finally, we compare our Array class type with the C++ standard library vector class and take a first look at the generic algorithms Along the way, we motivate and take a first peek at C++'s support for exception handling, templates, and namespaces

As we've seen in 1, C++ provides built-in support for primitive arithmetic data types such as integer:

// declares an integer object, ival // initialized to a first value of 1024 int ival = 1024;

It also supports double precision and single precision floating point data types:

// declares a double precision floating point object, dval // initialized to a first value of 314159 double dval = 314159; // declares a single precision floating point object, fval // also initialized to a first value of 314159 float fval = 314159;

1.1 INTRODUCTION In the fourth century b.c., the Greek writer Aeschylus wrote the play Agamemnon, which provides a detailed description of how re signals were supposedly used to communicate the fall of Troy to Athens over a distance of more than 450 km. This very same idea is present in the third movie of the trilogy The Lord of the Rings, where re signals were used to call for help of an ally army. In both cases, as well as in others found mainly in the literature and movies, the problem with a re signal is that there is only one meaning associated with it in the examples above, the fall of Troy and the call for help, respectively. This limitation of using re signals to relay a message was realized by Polybius, one of the most famous ancient Greek historians who lived 200 years after Aeschylus in the second century b.c. To overcome this limitation, Polybius proposed a very simple re signal mechanism based on re torches that could be used to relay different messages. He described the procedure a person should follow before they start transmitting a message to another one (i.e., how a connection could be established between a pair of communicating entities), and he also described how messages could be coded using re torches. Since this was basically a visual communication system, other people could see the same message (broadcast) and the people responsible for relaying messages could be mobile.

C++ also supports a Boolean data type as well as a character type to hold individual elements of the character set The arithmetic data types provide built-in support for assignment and for the usual arithmetic operations, such as addition, subtraction, multiplication, and division, as well as the relational operations, such as equality, inequality, greater than, less than, and so on For example:

int ival2 = ival + 4096; // addition int ival3 = ival2 - ival; // subtraction dval = fval * ival; // multiplication ival = ival3 / 2; // division

file:///F|/WinDDK/resources/CPPPrimer/c++primerhtm (29 / 1065) [2001-3-29 11:32:02]

bool result = ival2 == ival3; result = ival2 + ival != ival3; result = fval + ival2 < dval; result = ival > ival2;

Algorithms and Protocols for Wireless and Mobile Ad Hoc Networks, Edited by Azzedine Boukerche Copyright 2009 by John Wiley & Sons Inc.

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