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How to draw a Control flow graph & Cyclometric complexity for a given procedure

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Pubudu Dissanayake user avatar
Pubudu Dissanayake
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Oct. 13, 14 · Interview
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 cyclomatic complexity 

cyclomatic complexity is a software metric used to measure the complexity of a program.

this metric measures independent paths through the program's source code. an independent path is defined as a path that has at least one edge which has not been traversed before in any other paths.

cyclomatic complexity can be calculated with respect to functions, modules, methods or classes within a program. 

 compound condition 

where one or more boolean operators such as the logical or, and, nand, nor are present is a conditional statement:


 1.     if a or b   
 2.     then procedure x   
 3.     else   procedure y   
 4.     endif   

a  predicate  node will be created for each statement.

check the following code fragment:


 01.     insertion_procedure (   int   a[],   int   p [],   int   n)   
 02.     {   
 03.       int   i,j,k;   
 04.       for   (i=   0   ; i<=n; i++) p[i] = i;   
 05.       for   (i=   2   ; i<=n; i++)   
 06.       {   
 07.       k = p[i];   
 08.       j =   1   ;   
 09.       while   (a[p[j-   1   ]] > a[k]) {p[j] = p[j-   1   ]; j--}   
 10.       p[j] = k;   
 11.       }   
 12.     }   

first and foremost, start numbering the statement.


 01.     insertion_procedure (   int   a[],   int   p [],   int   n)   
 02.       {   
 03.     (   1   )    int i,j,k;   
 04.     (   2   )   for   ((2a)i=   0   ; (2b)i<=n; (2c)i++)   
 05.     (   3   )        p[i] = i;   
 06.     (   4   )   for   ((4a)i=   2   ; (4b)i<=n; (4c)i++)   
 07.       {   
 08.     (   5   )       k=p[i];j=   1   ;   
 09.     (   6   )   while   (a[p[j-   1   ]] > a[k]) {   
 10.     (   7   )           p[j] = p[j-   1   ];   
 11.     (   8   )           j--   
 12.       }   
 13.     (   9   )          p[j] = k;   
 14.       }   

now you can clearly see which statement executes first and which executes last, etc. so drawing the cfg becomes simple:

now, to calculate the cyclomatic complexity you use one of three methods:

  1. count the number of regions on the graph: 4
  2. no. of predicates (red on graph) + 1 : 3 + 1 = 4
  3. no of edges – no. of nodes + 2: 14 – 12 + 2 = 4

that’s about it. happy coding :)

Control Flow Graph Graph (Unix) Cyclomatic Complexity Flow (web browser)

Published at DZone with permission of Pubudu Dissanayake. See the original article here.

Opinions expressed by DZone contributors are their own.

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  • Code Quality Had 5 Pillars. AI Broke 3 and Created 2 We Can’t Measure
  • Beyond n8n for Workflow Automation: Agent Graphs as Your Universal Agent Harness
  • Building Scalable Agentic Assistants: A Graph-Based Approach

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