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+.bp
+.NH 1
+Inline substitution
+.NH 2
+Introduction
+.PP
+The Inline Substitution technique (IL)
+tries to decrease the overhead associated
+with procedure calls (invocations).
+During a procedure call, several actions
+must be undertaken to set up the right
+environment for the called procedure.
+.[
+johnson calling sequence
+.]
+On return from the procedure, most of these
+effects must be undone.
+This entire process introduces significant
+costs in execution time as well as
+in object code size.
+.PP
+The inline substitution technique replaces
+some of the calls by the modified body of
+the called procedure, hence eliminating
+the overhead.
+Furthermore, as the calling and called procedure
+are now integrated, they can be optimized
+together, using other techniques of the optimizer.
+This often leads to extra opportunities for
+optimization
+.[
+ball predicting effects
+.]
+.[
+carter code generation cacm
+.]
+.[
+scheifler inline cacm
+.]
+.PP
+An inline substitution of a call to a procedure P increases
+the size of the program, unless P is very small or P is
+called only once.
+In the latter case, P can be eliminated.
+In practice, procedures that are called only once occur
+quite frequently, due to the
+introduction of structured programming.
+(Carter
+.[
+carter umi ann arbor
+.]
+states that almost 50% of the Pascal procedures
+he analyzed were called just once).
+.PP
+Scheifler
+.[
+scheifler inline cacm
+.]
+has a more general view of inline substitution.
+In his model, the program under consideration is
+allowed to grow by a certain amount,
+i.e. code size is sacrificed to speed up the program.
+The above two cases are just special cases of
+his model, obtained by setting the size-change to
+(approximately) zero.
+He formulates the substitution problem as follows:
+.IP
+"Given a program, a subset of all invocations,
+a maximum program size, and a maximum procedure size,
+find a sequence of substitutions that minimizes
+the expected execution time."
+.LP
+Scheifler shows that this problem is NP-complete
+.[~[
+aho hopcroft ullman analysis algorithms
+.], chapter 10]
+by reduction to the Knapsack Problem.
+Heuristics will have to be used to find a near-optimal
+solution.
+.PP
+In the following chapters we will extend
+Scheifler's view and adapt it to the EM Global Optimizer.
+We will first describe the transformations that have
+to be applied to the EM text when a call is substituted
+in line.
+Next we will examine in which cases inline substitution
+is not possible or desirable.
+Heuristics will be developed for
+chosing a good sequence of substitutions.
+These heuristics make no demand on the user
+(such as making profiles
+.[
+scheifler inline cacm
+.]
+or giving pragmats
+.[~[
+ichbiah ada military standard
+.], section 6.3.2]),
+although the model could easily be extended
+to use such information.
+Finally, we will discuss the implementation
+of the IL phase of the optimizer.
+.PP
+We will often use the term inline expansion
+as a synonym of inline substitution.
+.sp 0
+The inverse technique of procedure abstraction
+(automatic subroutine generation)
+.[
+shaffer subroutine generation
+.]
+will not be discussed in this report.