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paths from I to S This distributed protocol is used in the intermediate nodes where multiple copies of the same route request packet is not immediately discarded Each packet is checked to nd whether it provides a node-disjoint path to the source Split Multipath Routing (SMR) [39] The SMR protocol establishes and uses multiple routes of maximally disjoint paths from source to destination (Algorithm 5) Similar to any reactive multipath protocol, multiple routes are discovered on demand and the route with the shortest delay is selected When a node wants to send a packet to a destination for which a route is not known, it oods a RREQ packet into the network Due to ooding, several duplicate RREQ messages reach the destination along various different paths Source routing is used because the destination needs to select multiple disjoint paths to send the RREP packet.

file:///F|/WinDDK/resources/CPPPrimer/c++primerhtm (883 / 1065) [2001-3-29 11:32:13]

As it happens, we have our IntArray class, which we implemented in Section 23 (yes, for the purposes of our discussion, we are ignoring both the standard library deque class and providing support for element types other than int) The question, then, is how the IntArray class might best be reused within our PeekbackStack implementation Our first thought, of course, is inheritance (Note that we will need to modify the IntArray class, changing its members from private to protected) Here is our implementation:

#include <IntArrayh> class PeekbackStack : public IntArray { private: const int static bos = -1; public: explicit PeekbackStack( int size ) : IntArray( size ), _top( bos ){} bool empty() const { return _top == bos; } bool full() const { return _top == size()-1; } int top() const { return _top; } int pop() { if ( empty() ) /* handle error condition */ ; return ia[ _top-- ]; } void push( int value ) { if ( full() ) /* handle error condition */ ; ia[ ++_top ] = value; } bool peekback( int index, int &value ) const; private: int _top; }; inline bool PeekbackStack:: peekback( int index, int &value ) const { if ( empty() ) /* handle error condition */ ; if ( index < 0 index > _top ) { value = ia[ _top ]; return false; } value = ia[ index ]; return true; }

This achieves exactly what we wanted - and more Program code using our new Peek-backStack class may also make inappropriate use of its IntArray base class public interface For example:

Unlike the conventional routing protocols such as AODV and DSR, the intermediate nodes in SMR are not allowed to send back RREPs even if they have the route to the destination This is because the destination can only make a decision on the validity of maximally disjoint multiple paths from all of its received RREQ packets If the intermediate nodes reply back, it is almost impossible for the destination to keep track of the routes forwarded to the source Intermediate nodes also use a different packet forwarding approach Instead of dropping all duplicate RREQs, each node only forwards those RREQ packets that arrived using a different link from the rst RREQ packet and that have a hop count lower than the rst RREQ packet The destination considers the rst received RREQ packet as the path with the shortest delay.

extern void swap( IntArray&, int, int ); PeekbackStack is( 1024 ); // oops: unexpected misuses of our PeekbackStack swap(is,i,j);

file:///F|/WinDDK/resources/CPPPrimer/c++primerhtm (884 / 1065) [2001-3-29 11:32:13]

issort(); is[0] = is[512];

The PeekbackStack class abstraction should guarantee "last in, first out" behavior with regard to the access of the elements it contains However, the availability of the additional IntArray interface seriously compromises any guarantee of that behavior The problem is that a public derivation defines an is-a relationship A PeekbackStack, however, is not a kind of IntArray Rather, a PeekbackStack has an IntArray as part of its implementation The public interface of an IntArray is not part of the PeekbackStack class public interface The PeekbackStack class wishes to reuse the implementation of the IntArray class; however, a PeekbackStack is not an IntArray subtype A private base class reflects a form of inheritance that is not based on subtype relationships The entire public interface of the base class becomes private in the derived class Each of the preceding misuses of a PeekbackStack class instance is now illegal except within the friends and member functions of the derived class The only change required of our earlier PeekbackStack definition is to replace the public keyword with private in the class derivation list The other public and private keywords within the class definition itself need not change

s1:=1.s(-1) s(-2)...s(-p); if s(-(p+1))<B/2 then round:=s1; elsif s(-(p+1))>B/2 then round:=s1+ulp; elsif s(p+2)>0 or s(p+3)>0 then round:=s1+ulp; elsif s(-p) mod 2=0 then round:=s1; else round:=s1+ulp; end if;