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3 | 3 | ## Functional Requirements
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4 | 4 |
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5 | 5 | The described data structures should be able to:
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| 6 | + |
6 | 7 | 1. **Traversal:** Enable traversal methods (e.g., in-order, pre-order, post-order for trees; forward/backward for linked lists).
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7 | 8 | 2. **Sorting:** Provide built-in or integrable sorting mechanisms where applicable.
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8 | 9 | 3. **Search & Access:** Support efficient search and retrieval of elements.
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9 | 10 | 4. **Error Handling:** Gracefully handle invalid operations (e.g., removing from an empty queue).
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10 |
| - |
| 11 | +5. **Insertion & Deletion:** Allow insertion and deletion operations at appropriate positions. |
| 12 | +6. **Integration with Algorithms:** Data structures shall support direct usage with sorting, searching, or graph algorithms. |
11 | 13 |
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12 | 14 | ## Non-Functional Requirements
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13 | 15 |
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14 | 16 | The data structure should ensure:
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| 17 | + |
15 | 18 | 1. **Testability:** Design should allow easy integration with unit testing frameworks.
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16 | 19 | 2. **Performance / Efficiency:** Operations should be optimized for time and space complexity (e.g., O(1) for stack push/pop).
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17 | 20 | 3. **Scalability:** Data structures should handle large datasets without significant performance degradation.
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18 |
| - |
| 21 | +4. **Reliability:** Functions should consistently return correct results under normal usage. |
| 22 | +5. **Maintainability:** Code should be modular, well-documented, and easy to update or extend. |
19 | 23 |
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20 | 24 | ## Test Oracles
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21 | 25 |
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22 |
| -| Requirement ID | Requirement Description | Test Oracle (Expected Behavior) | |
23 |
| -|----------------|------------------------------------------------------------------------------------------|---------------------------------------------------------------------------------------------------------------------------| |
24 |
| -| FR-1 | Enable traversal methods (e.g., in-order, pre-order, post-order for trees; forward/backward for linked lists) | Traversal methods should return elements in the correct sequence based on the traversal type. | |
25 |
| -| FR-2 | Provide built-in or integrable sorting mechanisms where applicable | Sorting operations should generate a correctly ordered sequence of elements. | |
26 |
| -| FR-3 | Support efficient search and retrieval of elements | For a known dataset, search operations should return the correct element or index in expected time (e.g., O(log n)). | |
27 |
| -| FR-4 | Gracefully handle invalid operations (e.g., removing from an empty queue) | Invalid operations should raise appropriate exceptions or return error codes without crashing. |
28 |
| -| NFR-1 | Design should allow easy integration with unit testing frameworks | All public methods should be testable via standard unit testing frameworks. | |
29 |
| -| NFR-2 | Data structures should handle large datasets without significant performance degradation | Usage with large datasets should show stable performance metrics and no memory overflows or timeouts. | |
30 |
| -| NFR-3 | Operations should be optimized for time and space complexity (e.g., O(1) for stack push/pop) | Operations should meet the expected time/space complexity bounds under typical scenarios. | |
| 26 | +| Requirement ID | Requirement Description | Test Oracle (Expected Behavior) | |
| 27 | +| -------------- | ------------------------------------------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------------- | |
| 28 | +| FR-1 | Enable traversal methods (e.g., in-order, pre-order, post-order for trees; forward/backward for linked lists) | Traversal methods should return elements in the correct sequence based on the traversal type. | |
| 29 | +| FR-2 | Provide built-in or integrable sorting mechanisms where applicable | Sorting operations should generate a correctly ordered sequence of elements. | |
| 30 | +| FR-3 | Support efficient search and retrieval of elements | For a known dataset, search operations should return the correct element or index in expected time (e.g., O(log n)). | |
| 31 | +| FR-4 | Gracefully handle invalid operations (e.g., removing from an empty queue) | Invalid operations should raise appropriate exceptions or return error codes without crashing. | |
| 32 | +| FR-5 | Allow insertion and deletion operations at appropriate positions | After insertion or deletion, the data structure should reflect the updated state accurately. | |
| 33 | +| FR-6 | Data structures shall support direct usage with sorting, searching, or graph algorithms | The data structure should be able to produce correct results when used with algorithms like sorting, searching, etc. | |
| 34 | +| NFR-1 | Design should allow easy integration with unit testing frameworks | All public methods should be testable via standard unit testing frameworks. | |
| 35 | +| NFR-2 | Data structures should handle large datasets without significant performance degradation | Usage with large datasets should show stable performance metrics and no memory overflows or timeouts. | |
| 36 | +| NFR-3 | Operations should be optimized for time and space complexity (e.g., O(1) for stack push/pop) | Operations should meet the expected time/space complexity bounds under typical scenarios. | |
| 37 | +| NFR-4 | Functions should consistently return correct results under normal usage | Repeated calls with valid inputs should yield consistent and correct outputs. | |
| 38 | +| NFR-5 | Code should be modular, well-documented, and easy to update or extend | Code analysis and reviews should confirm modularity, ease to update, and presence of meaningful documentation. | |
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