Initial revision

doc/ego/cf/cf5

@@ -0,0 +1,79 @@
+.NH 2
+Interprocedural analysis
+.PP
+It is often desirable to know the effects
+a procedure call may have.
+The optimization below is only possible if
+we know for sure that the call to P cannot
+change A.
+.DS
+A := 10;                        A:= 10;
+P;  -- procedure call    -->    P;
+B := A + 2;                     B := 12;
+.DE
+Although it is not possible to predict exactly
+all the effects a procedure call has, we may
+determine a kind of upper bound for it.
+So we compute all variables that may be
+changed by P, although they need not be
+changed at every invocation of P.
+We can get hold of this set by just looking
+at all assignment (store) instructions
+in the body of P.
+EM also has a set of \fIindirect\fR assignment
+instructions,
+i.e. assignment through a pointer variable.
+In general, it is not possible to determine
+which variable is affected by such an assignment.
+In these cases, we just record the fact that P
+does an indirect assignment.
+Note that this does not mean that all variables
+are potentially affected, as the front ends
+may generate messages telling that certain
+variables can never be accessed indirectly.
+We also set a flag if P does a use (load) indirect.
+Note that we only have to look at \fIglobal\fR
+variables.
+If P changes or uses any of its locals,
+this has no effect on its environment.
+Local variables of a lexically enclosing
+procedure can only be accessed indirectly.
+.PP
+A procedure P may of course call another procedure.
+To determine the effects of a call to P,
+we also must know the effects of a call to the second procedure.
+This second one may call a third one, and so on.
+Effectively, we need to compute the \fItransitive closure\fR
+of the effects.
+To do this, we determine for every procedure
+which other procedures it calls.
+This set is the "calling" attribute of a procedure.
+One may regard all these sets as a conceptual graph,
+in which there is an edge from P to Q
+if Q is in the calling set of P. This graph will
+be referred to as the \fIcall graph\fR.
+(Note the resemblance with the control flow graph).
+.PP
+We can detect which procedures are called by P
+by looking at all CAL instructions in its body.
+Unfortunately, a procedure may also be
+called indirectly, via a CAI instruction.
+Yet, only procedures that are used as operand of an LPI
+instruction can be called indirect,
+because this is the only way to take the address of a procedure.
+We determine for every procedure whether it does
+a CAI instruction.
+We also build a set of all procedures used as
+operand of an LPI.
+.sp
+After all procedures have been processed (i.e. all CFGs
+are constructed, all loops are detected,
+all procedures are analyzed to see which variables
+they may change, which procedures they call,
+whether they do a CAI or are used in an LPI) the
+transitive closure of all interprocedural
+information is computed.
+During the same process,
+the calling set of every procedure that uses a CAI
+is extended with the above mentioned set of all
+procedures that can be called indirect.