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So what we really need is for o p e r a t o r [ 1 to return a constant reference for f rom-but also a value for t o In other words, we need two versions of o p e r a t o r [ 1 that differ only in their return types Although that is not allowed, there is a loophole: Member function const-ness (ie, whether a function is an accessor or a mutator) is part of the signature, so we can have the accessor version of o p e r a t o r [ 1 return a value and have the mutator version return the simple reference Then all is well-which is why we have two versions of o p e r a t o r [ 1 Figure 226 shows the 110 operators There is no limit on the length of the input Note that, because these functions are not class members, they cannot and do not access any private data The comparison operators are shown in Figure 227 They simply call strcmp on the C-style strings Again we must use an accessor to get the C-style strings because b u f f e r is a private data member and these operators are not class members

c '"

An inefficiency of the string class is its reliance on implicit type conversions That is, if a C-style string (or string constant) is passed to the comparison operators or assignment operators, a temporary is generated This action can add significant overhead to running time A solution to this problem is to write additional functions that take a C-style string as a parameter Thus we could add global functions

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and gauge transformations in G also relate the electroweak couplings g, g' to the color coupling as. All the interactions would then be described by a grand unified gauge theory (GUT) with a single coupling gc to which all couplings are related in a specific way once the gauge group G has been found. This unification is pictured in Fig. 15.4, where we have denoted the couplings associated with the SU(3), SU(2), and U(1) subgroups by g;(Q) with i = 3,2, I, respectively. The figure recalls the fact that the gauge c!Juplings depend on the characteristic momentum Q (or distance I/Q) of the interactions. The couplings g2(Q) and g3(Q) of the non-Abelian groups are asymptotically free, whereas the Abelian coupling gl (Q) increases with increasing momentum Q similar to the conventional charge screening of electromagnetism. The figure suggests that for some large-momentum (or short-distance) scale Q = M x' the three couplings merge into a single grand unified coupling gc; that is, for Q ~ M x'

bool operator>=( const char * lhs, const string & rhs bool operator>=( const string & lhs, const char * rhs

) ; );

(15.47)

) ; ) ;

~ 40

It might also be worthwhile to add an overloaded operator+= that accepts a single char as a parameter to avoid those type conversions

In this section we summarize what gets called in various circumstances First, for initialization we have the following examples:

and the group G describes a unified interaction with coupling gdQ). When Q is decreased below M x , the couplings g;(Q) separate and eventually give the phenomenological couplings g, g', and as' which describe the interactions observed in the present-day experiments for which Q .=::: JL .=::: 10 GeV or thereabouts.

string r; / / string( ) string s = "Hello"; / / string( const char * / / string( const string string t = s;

30 0 20 40 60 80 100 120 140 160 180

) & )

DL.---+-_ _-'-

Next, we have cases where there are exact matches:

r = t; s += I; r[O] = ' J ' ;

/ / operator=( const string & ) / / operator+=( const string & ) / / operator[] followed by character copy

---J'-:-

make these partial derivatives equal to O. The solutions are a = Ii and b = where Ii and are given by (3.2).

In this case, the nonconstant operator [ ] is used Here is an example that involves an implicit call to a constructor to create a temporary object:

if( r == "Jello"

Q (GeV)

Note, however, that newer versions of the compiler will not perform this conversion if the corresponding formal parameter is a (nonconstant) reference In other words, if we have

" Jello" fails to match rhsThe reason is that the declaration of == is stating that rhs may be altered, which does not make sense if rhs is merely a temporary copy of " Jello " Furthermore, for operators that are class members, the first actual parameter must be an exact match The copy constructor is also called if a string is passed by value to a function expecting a string or is returned by copy Thus if the declaration for == was

The Acid Content Data. For the data in Table 3.1 the formulas in (3.2) yield the estimates Ii = 35.46 and = 0.3216. So the fitted regression line is Y = 35.46 + 0.3216X. This is the line in Figure 3.3.

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