Structural Analysis a New Approach to Flow Analysis in Optimizing Compliers

Cover Structural Analysis a New Approach to Flow Analysis in Optimizing Compliers
Structural Analysis a New Approach to Flow Analysis in Optimizing Compliers
M Sharir
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If X has not been found to be an entry of such a structure, we determine whether x is the target of a back-edge. If so, we construct the set -9 REACHUNDER(x) = {y a node in G such that STRUCTOF(y) is undefined and x can be reached from y along a path not going through x whose final edge is a back edge} u {x} as in [Ta], [SS]. The following cases can occur: (a) #REACHUNDER(x) = 1. X forms a self-loop, i. E. The structure 'LOOP'. Reduce {x} as such, in the manner explained above.
(b) #REACHUNDER(
...x) = 2 and the other member y of this set has X as its only successor. Then {x, y} form a 'WHILELOOP'. Reduce {x, y} as such, in the manner explained above.
(c) REACHUNDER(x) contains a nondescendant node of x. Then X is an entry to a multiple-entry cycle. Mark x as such and reduce nothing. (This case and the following one are descussed in [SS]. ) (d) If none of the above cases is detected, then I = REACHUNDER (x) forms an interval (in the terminology of [SS]) with entry node x. If I contains entries to multiple-entry loops then I is of type ' IMPROPINT ', otherwise I is of type 'PROPINT'.


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