Add ODE test cases to verify differential equation capabilities #1133
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| auto solution = 2*x; | ||
| auto dy_dx_solution = solution.d(x); | ||
| auto verification = dy_dx_solution - solution/x; |
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Consider adding error handling for potential division by zero in the homogeneous ODE test. The expression solution/x could cause issues when x=0. While the test is currently disabled, it's good practice to handle this edge case before implementation.
| auto y_val = solution.Eval({{x, x_val}}); | ||
| auto dy_dx_val = (x_val + y_val); // From the ODE: dy/dx = x + y | ||
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| // Calculate the derivative numerically for verification |
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The numerical derivative calculation in the NumericalODE_test uses a fixed step size of 0.001. Consider making this a named constant at the top of the test case for better maintainability and to make it clear this is a parameter that might need adjustment for numerical stability.
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I've reviewed the ODE test cases and found a few minor issues to address before implementation. The test structure is well-designed and follows TDD principles by being disabled until implementation is complete. The mathematical formulations appear correct, but there are a few code quality improvements that would make the tests more robust and maintainable.
| @@ -0,0 +1,168 @@ | |||
| #define BOOST_TEST_MODULE ODE test | |||
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Everything looks good! The test cases provide comprehensive coverage for different types of ODEs and will be valuable once the implementation is complete. The existing comments about adding a file header, handling division by zero, and using named constants for step sizes should be addressed in a follow-up commit.
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Co-Authored-By: Serg Kryvonos <[email protected]>
Co-Authored-By: Serg Kryvonos <[email protected]>
Co-Authored-By: Serg Kryvonos <[email protected]>
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This PR adds test cases for Ordinary Differential Equations (ODEs) to verify the mathematical framework's capabilities for representing and solving differential equations. The tests are currently disabled following TDD workflow and will be enabled in a subsequent PR once the implementation is complete. Link to Devin run: https://app.devin.ai/sessions/14dc16dd41bd4b8586161e04bbec06ed. Requested by: Serg.