Compute Insurance Premium For Driver Age In Points

Program Compute Insurance Premium2 Integer Driverage Points3 Real

Analyze the given pseudocode program for computing insurance premiums based on driver age and points, including program graph, cyclomatic complexity, basis paths, and test cases for a specific branch.

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The provided program aims to calculate an insurance premium based on the driver’s age and points, incorporating different conditions and factors. Analyzing such pseudocode requires understanding its structural flow, complexity, testing needs, and practical implementation aspects.

Program Graph

The program graph, also known as the control flow graph, visually depicts the flow of control through the program. It consists of nodes representing decision points, such as the switch cases and if statements, and edges representing the flow of execution. In this program, the primary decision point is the switch statement evaluating the driver's age category, with conditional branches within each case to adjust the safe driver factor based on points.

The main nodes involve the evaluation of the switch statement for driverAge with cases C1 through C4. Each case checks conditions on points (safeDriverFactor accordingly. The default case handles out-of-range ages. The execution proceeds to calculate the premium using a formula that involves the age factor and safe driver factor, finally outputting the premium.

Edges connect these decision nodes to their respective action blocks, with loops being absent since control flows straight through each case. The graph branching into different case evaluations illustrates a tree-like structure, with decision nodes leading to different paths based on conditions.

Cyclomatic Complexity

Cyclomatic complexity is a quantitative measure of the number of linearly independent paths through a program's control flow graph. It is calculated by:

Cyclomatic complexity (V) = E - N + 2P

Where:

  • E = number of edges in the graph
  • N = number of nodes (decision points + start/end)
  • P = number of connected components (for a single program, P=1)

In this program, notable decision points include the switch statement and 'if' conditions within each case. Specifically, there is one switch statement with four cases and, within some cases, an 'if' decision. Counting the decisions:

  • Switch statement: 1 decision point (which case is selected).
  • Within each case, an if condition: 4 cases × 1 if = 4 decision points.

Therefore, total decision points: 1 (switch) + 4 (ifs) = 5.

The number of edges (E) can be deduced as follows:

  • Each case in the switch has a unique path, with the if condition possibly leading to different outcomes.
  • Including the default, all these paths contribute to the edge count.

Assuming a simplified count, the cyclomatic complexity is:

V = E - N + 2P

More specifically, for this program, V = 6, indicating there are 6 linearly independent paths that can be tested to ensure full path coverage.

Basis Paths for Testing

Basis paths are independent routes through the program that provide comprehensive testing coverage. For this pseudocode, the following basis paths emerge based on the decision points:

  1. Path 1: Switch case C4 with points
  2. Path 2: Switch case C4 with points ≥ 2 (or equal to or greater than 2), safeDriverFactor remains 0; path proceeds to calculate premium.

Each path ensures different branches within the switch case C4 are tested, especially considering points thresholds influencing safe driver factors.

Test Cases for Switch Case C4

Considering the given input parameters, the following test cases focus on exercise the two primary branches within switch case C4:

Test Case 1: Points

  • Input: baseRate = $500.00, driverAge = 70, points = 1
  • Path taken: Switch case C4, condition points
  • Expected Output: premium = 500 * 2.0 - 120 = 880

Test Case 2: Points ≥ 2 (safeDriverFactor remains 0)

  • Input: baseRate = $500.00, driverAge = 70, points = 3
  • Path taken: Switch case C4, condition points
  • Expected Output: premium = 500 * 2.0 - 0 = 1000

These test cases validate that the program correctly adjusts the safe driver factor based on points within the C4 age category and correctly computes the premium accordingly.

Conclusion

Analysis of the pseudocode reveals a control flow primarily governed by the driver's age category and points, with decision points leading to different premium calculations. The program graph visually depicts these control flows, with cyclomatic complexity indicating the number of test paths needed for comprehensive testing. The derived basis paths and test cases ensure that critical decision branches, especially within switch case C4, are adequately exercised, validating the correctness of the program logic.

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