Software Maintainability

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What is Code Complexity? How to Reduce Code Complexity?

What is Code Complexity? How to Reduce Code Complexity?

Amartya Jha

• 21 November 2024

Code complexity is a crucial concept in software development that refers to the difficulty of understanding, maintaining, and modifying a piece of code. It encompasses various factors such as the number of lines of code, the presence of loops and conditional statements, the use of nested structures, and the overall architecture of the codebase. Understanding code complexity is essential as it directly impacts the maintainability and reliability of software systems.

Types of Code Complexity

Types of Code Complexity

Types of Code Complexity

Different types of code complexity metrics provide insights into how complex a piece of code may be. Here are some prominent types:

  1. Cyclomatic Complexity

  1. Cyclomatic Complexity

Cyclomatic complexity, introduced by Thomas J. McCabe in 1976, is a software metric used to measure the logical complexity of a program. It quantifies the number of linearly independent paths through a program's source code, which helps in assessing the maintainability and testability of the code.

Definition and Calculation

Definition and Calculation

The cyclomatic complexity M can be calculated using the formula:

M=E−N+P

where:

  • E is the number of edges in the control flow graph,

  • N is the number of nodes in the control flow graph,

  • P is the number of connected components (usually 1 for a single subroutine).

In simpler terms, cyclomatic complexity reflects how many different paths exist through a piece of code based on its control structures (like loops and conditionals). For example, if a piece of code has no decision points, it will have a cyclomatic complexity of 1, indicating a single path through the code. Conversely, each decision point (e.g., an if statement) adds to this complexity.

Importance

Importance

A cyclomatic complexity score greater than 10 typically suggests that the code may be too complex and could benefit from refactoring to enhance maintainability. High complexity can lead to increased difficulty in understanding, testing, and modifying the code, which can ultimately result in higher chances of bugs and errors.

Methods for Calculation

Methods for Calculation

There are three commonly used methods to calculate cyclomatic complexity:

  1. Regions Method: Count the total number of closed regions in the control flow graph and add 1.

  2. Edges and Nodes Method: Use the formula M=E−N+2.

  3. Predicate Nodes Method: Count the total number of predicate nodes (decision points) in the control flow graph and add 1.

Example Calculation

Example Calculation

To illustrate these methods, consider a simple code snippet:

IF A = 354 THEN
    IF B > C THEN
        A = B
    ELSE
        A = C
    END IF
END IF
PRINT A

For this example:

  • Control Flow Graph: The graph would have nodes representing each decision point and edges representing possible paths.

  • Calculating Cyclomatic Complexity:

    • Regions Method: If there are 2 closed regions, then M=2+1=3.

    • Edges and Nodes Method: If there are 8 edges and 7 nodes, then M=8−7+2=3.

    • Predicate Nodes Method: If there are 2 predicate nodes (the two IF statements), then M=2+1=3.

All methods yield a cyclomatic complexity of 3 for this piece of code.

  1. Halstead Complexity

  1. Halstead Complexity

Halstead complexity measures are a set of software metrics introduced by Maurice Howard Halstead in 1977. These metrics provide a quantitative assessment of the complexity and maintainability of a program based on its operators and operands. By analyzing the structure of the code, Halstead metrics help developers understand the effort required to write, maintain, and comprehend the code.

Operators and Operands

Operators and Operands

  • Operators: These are symbols that perform operations on operands. Examples include arithmetic operators like +, -, *, and logical operators like && or ||.

  • Operands: These represent the data or variables that operators act upon. For instance, in the expression a + b, a and b are operands.

Vocabulary Size

Vocabulary Size

The vocabulary size n is defined as the total number of unique operators and operands in a program:

n=n1+n2

where:

  • n1  is the number of distinct operators.

  • n2  is the number of distinct operands.

Program Length

Program Length

The program length N is calculated as the total number of operators and operands in the code:

N=N1+N2

where:

  • N1 is the total number of operators.

  • N2 is the total number of operands.

Halstead Metrics

Halstead Metrics

The Halstead complexity measures include several important calculations:

  1. Halstead Volume (V)

Halstead Volume quantifies the size and complexity of a program. It is calculated using:

V=N×log⁡2(n)

This metric reflects how much information is contained in the program. A higher volume indicates a more complex codebase that may require more effort to understand and maintain.

  1. Halstead Difficulty (D)

Halstead Difficulty assesses how hard it is to write or understand a program. It is calculated as follows:

D=n12×N2n2

This formula indicates that difficulty increases with more unique operators relative to operands, suggesting that programs with many distinct operations may be harder to grasp.

  1. Halstead Effort (E)

Effort estimates the total effort required to develop or maintain the software:

E=D×V

A higher effort value suggests that significant work will be needed for coding, testing, or maintaining the software.

  1. Cognitive Complexity

  1. Cognitive Complexity

Cognitive complexity is a measure of how difficult it is for a developer to understand a piece of code at a glance. Unlike traditional complexity metrics, such as cyclomatic complexity, which focus on the structural aspects of code, cognitive complexity emphasizes the mental effort required to comprehend the logic and flow of the program.

Key Aspects

Key Aspects

  • Human-Centric Focus: Cognitive complexity takes into account how human cognition interacts with code. It evaluates factors such as:

    • Nested Control Structures: Deeply nested loops and conditional statements increase cognitive load, making it harder for developers to follow the program's logic.

    • Logical Operators: The use of multiple logical operators can complicate understanding, especially when combined with nested structures.

    • Program Flow: The overall flow of the program, including how functions and modules interact, contributes to cognitive complexity.

  • Impact on Maintainability: High cognitive complexity can lead to several issues:

    • Increased Error Rates: Developers may misinterpret complex logic, leading to bugs and errors during modifications.

    • Reduced Productivity: When code is difficult to understand, it takes longer for developers to make changes or fix issues, slowing down the development process.

    • Technical Debt: Complex code often results in shortcuts taken during development, leading to higher maintenance costs in the long run.

  • Management Strategies: To reduce cognitive complexity, developers can employ several strategies:

    • Refactoring: Breaking down large functions into smaller, more manageable ones can significantly lower cognitive load.

    • Simplifying Control Structures: Reducing nesting and using clear conditional statements can enhance readability.

    • Consistent Coding Practices: Adhering to coding standards ensures that code remains predictable and easier to understand.

By focusing on cognitive complexity, teams can create more maintainable and understandable software, ultimately leading to higher quality products.

Lines of Code (LoC)

Lines of Code (LoC)

Lines of Code (LoC) is a straightforward metric that counts the total number of lines in a codebase. While it provides a basic measure of size, it does not fully capture the intricacies of code complexity.

Key Aspects

Key Aspects

  1. Basic Measurement: LoC serves as a simple indicator of the size of a project. A higher line count may suggest a larger or more complex application; however, it does not inherently indicate quality or maintainability.

  2. Limitations:

    • Not Comprehensive: LoC fails to account for factors like nested structures or logical complexity. For instance, a small piece of code could have high cognitive complexity if it contains deeply nested conditionals.

    • Potential Misleading Indicator: A large number of lines does not necessarily correlate with better functionality or performance; it may simply reflect poor coding practices or unnecessary verbosity.

  3. Combined Usage: While LoC alone does not provide a complete picture, it can be useful when combined with other metrics:

    • Enhancing Context: When analyzed alongside cognitive complexity or cyclomatic complexity, LoC can help provide context about the overall health and maintainability of the codebase.

    • Tracking Progress: Monitoring changes in LoC over time can help teams assess growth and refactoring efforts within their projects.

  1. Calculated Program Length

This measure provides an estimate of what the program length should be based on its vocabulary:

N^=n1×log⁡2(n1)+n2×log⁡2(n2)

This helps in understanding how efficiently a program has been written compared to its theoretical maximum complexity.

Applications

Applications

Halstead complexity measures are particularly useful for:

  • Code Quality Assessment: By calculating these metrics, developers can identify complex areas within their code that may need refactoring or simplification.

  • Maintenance Planning: Understanding the effort required for maintenance can help teams allocate resources effectively.

  • Comparative Analysis: These metrics allow for comparisons between different pieces of code or projects, helping teams gauge improvements or regressions in code quality over time.

  1. Coupling

Coupling refers to the degree of interdependence between different modules or components within a software system. It measures how closely related these components are, impacting how changes in one module affect others.

Key Aspects of Coupling

Key Aspects of Coupling

  1. Types of Coupling:

    • Tight Coupling: When modules are highly dependent on each other, changes in one module often necessitate changes in others. This can lead to a fragile codebase where modifications become risky and time-consuming.

    • Loose Coupling: In contrast, loosely coupled modules operate independently. Changes in one module have minimal impact on others, promoting flexibility and ease of maintenance.

  2. Impact on Maintenance:

    • High coupling complicates maintenance tasks because it increases the likelihood of introducing bugs when modifying interconnected components.

    • It can hinder code reuse since tightly coupled modules are often designed for specific interactions, limiting their applicability in other contexts.

  3. Best Practices:

    • To achieve loose coupling, developers can use design patterns such as Dependency Injection, which promotes the use of interfaces rather than concrete implementations.

    • Modular design principles encourage encapsulation and separation of concerns, allowing for independent development and testing of components.

  1. Depth of Inheritance

Depth of Inheritance (DIT) measures the levels within a class hierarchy in object-oriented programming. It indicates how many layers exist between a subclass and its base class.

Key Aspects of Depth of Inheritance

Key Aspects of Depth of Inheritance

  1. Understanding DIT:

    • DIT is defined as the maximum distance from a node (class) to the root (base class) in the inheritance tree.

    • A higher DIT suggests that a class inherits from multiple layers of parent classes, which can complicate understanding and maintaining the code.

  2. Impact on Complexity:

    • Increased Complexity: A deeper inheritance structure can make it harder to predict a class's behavior due to inherited methods and properties from multiple ancestors.

    • Potential for Code Reuse: While deeper hierarchies may promote code reuse through inheritance, they also increase complexity and potential for errors, especially if base classes change.

  3. Best Practices:

    • Limit the depth of inheritance to keep class structures manageable. A common guideline suggests keeping DIT around 5 or 6 levels to avoid excessive complexity.

    • Favor composition over inheritance when possible; this approach allows for more flexible designs without deep hierarchies.

  1. Maintainability Index

The Maintainability Index (MI) is a composite metric that provides an overall score reflecting how maintainable a piece of code is. It incorporates several factors, including cyclomatic complexity, lines of code (LoC), Halstead metrics, and depth of inheritance.

Calculation

Calculation

The traditional formula for calculating the Maintainability Index is:

Maintainability Index=171−5.2×ln⁡(Halstead Volume)−0.23×(Cyclomatic Complexity)−16.2×ln⁡(Lines of Code)

To ensure that the index falls within a practical range, it is often modified to:

Maintainability Index=max⁡(0,(171−5.2×ln⁡(Halstead Volume)−0.23×(Cyclomatic Complexity)−16.2×ln⁡(Lines of Code))×100171)

Importance

Importance

  1. Comprehensive Assessment: The MI combines various complexity metrics to provide a holistic view of code maintainability.

  2. Guiding Refactoring Efforts: A low MI score indicates areas that may require refactoring or simplification to enhance maintainability.

  3. Facilitating Communication: The MI serves as a common language for developers and stakeholders to discuss code quality and maintenance needs.

Check out the top Code Quality Tools in 2025.

How to reduce code complexity?

Code complexity analysis tools like CodeAnt AI help reduce code complexity by identifying areas in a codebase that have high complexity metrics, such as cyclomatic complexity, cognitive load, and maintainability index. 

By highlighting complex functions, these tools provide actionable insights and refactoring suggestions, enabling developers to simplify and enhance the readability of code. They also support multi-language analysis and generate detailed reports to keep track of progress, ultimately making the codebase easier to maintain and optimize for future development.