GATE CS 2015 Set 3 — Question 58
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Compiler Design → Code Optimization → Basic Blocks & Flow Graphs
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Question
Consider three software items: Program-X, Control Flow Diagram of Program-Y and Control Flow Diagram of Program-Z as shown below
The values of McCabe’s Cyclomatic complexity of Program-X, Program-Y, and Program-Z respectively are
Correct answer
(A) 4, 4, 7
Solution
McCabe's cyclomatic complexity of a single-entry, single-exit control flow graph is , where is the number of binary decision (predicate) nodes.Program-X: the decisions are
if (value < 0), the while loop test, and if (result <= maxint). Counting the loop test as one decision, , so .Program-Y: the graph has nodes. Edges: 7 edges along the straight chain plus 3 back edges (node 3 → node 1, node 6 → node 4, node 8 → node 1), so .(Equivalently, nodes 3, 6 and 8 each have two outgoing edges, so .)Program-Z: the exit of X's graph is joined to the entry of Y's graph, giving one connected graph with and :So the values are 4, 4, 7. Options B (3 for X), C and D (8 for Z, 3 for Y) are wrong.Answer: (A) 4, 4, 7Continue learning with Success Tracker
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