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212 For the definitions of g, h, and i in Exercise 21 1, what needs to be done to avoid a memory leak 213 What does the s i z e o f operator do when applied on a class that has private members

So. for Q ;::: M x where gl = g2' C determines the Weinberg angle Ow' Assuming that there exists a group G. we can use the phenomenological values of the couplings at Q == p. to estimate the unification mass M x' This can be done because the Q dependence of the couplings g;(Q) is prescribed by the gauge theory. see 7. For instance. the Q dependence of as is given by (7.63). We use (15.48) to replace as by g3' and after simple rearrangement. (7.63) becomes

214 Some compilers complain if a class's members are all private and it has no friends Why 215 Why can't the following be used to indicate the copy constructor for the Rational class

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216 Add the following improvements to the Rational class a Rewrite operator==and operator ! = to avoid multiplications NI N2 Nl N2 N1 N2 b Implement - x - as - x - Reduce - and then Dl 0 2 0 2 Dl 02 Dl prior to the multiplication The result need not be reduced why What is the advantage of this scheme c What other operations are affected by this rearrangement d Overload to perform exponentiation What are some of the problems that can occur What is the value of 1 +2 3 when is overloaded for exponentiation

217 Additional routines are required for the string class so that temporaries are not created when a char * is involved a For the class interface presented in Figure 222, how many additional routines are needed b Implement some subset of these routines 218 Define operator ( ) (with two parameters) to return a substring For example, the output resulting from

-- = --

(2.3)

string s = "abcd"; cout << s( 1, 2 ) ;

is bc (after all of the implicit conversions are applied) a What is the return type b Implement the substring operator c Is there a substantial difference between the following two alternatives

g}(p.)

/ / Alternative 1 string subStr = s ( 1, 2

/ / Alternative 2 string subStr; subStr = s( 1 , 2 ) ;

120 100 80 60 50

219 Let s be a string, a Is the typical C mistake s= a caught by the compiler Why or why not b What functions are called in s+ = a

g}(Q)

220 Suppose that we add a constructor allowing the user to specify the initial size for the internal buffer Describe an implementation of this constructor and then explain what happens when the user attempts to declare a string with a buffer size of 0 221 Add operations to allow the copy assignment of a single char and concatenation of char Make them efficient; do not simply call existing routines 222 A combination lock has the following basic properties: The combination (a sequence of three numbers) is hidden; the lock can be opened by providing the combination; and the combination can be changed but only by someone who knows the current combination Design a class with public member functions open and changecombo and private data members that store the combination The combination should be set in the constructor Disable copying of combination locks

Implement a simple Date classYou should be able to represent any date from January 1, 1800, through December 3 1, 2500, subtract two dates, increment a date by a number of days, and compare two dates by using < A Date is represented internally as the number of days since some starting time, which here is the first day of 1800, making most operations except for 110 trivial The rule for leap years is: A year is a leap year if it is divisible by 4, and not divisible by 100 unless it is also divisible by 400 Thus 1800, 1900, and 21 00 are not leap years, but 2000 is The input operation must check the validity of the input The output operation must check the validity of the DateThe Date could be bad if a + or - operator caused it to go out of range Figure 229 gives a class specification skeleton for the Date class Several items are missing, including public and private keywords, const and &, and I/O interfaces Before you begin coding the interface, you must make some decisions:

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