Refactor polynomial sampling code for compatibility

[felixboelter]

Description

• Updated import path for base_solution_linear function from sympy.solvers.diophantine.diophantine to ensure compatibility with the latest sympy version.
• Replaced np.object with object for dtype specifications in numpy arrays to avoid deprecation warnings.
• These changes improve code compatibility with newer libraries.

Files Changed

• mathematics_dataset/sample/polynomials.py

Detailed Changes

1. Import Path Update:

   • Changed (Edit):

     from sympy.solvers.diophantine import base_solution_linear as diophantine_solve_linear_2d

     to:

     try:
      from sympy.solvers.diophantine.diophantine import base_solution_linear as diophantine_solve_linear_2d
     except ImportError:
      from sympy.solvers.diophantine import base_solution_linear as diophantine_solve_linear_2d

2. Numpy Dtype Adjustment:

   • Updated dtype from np.object to object in the following lines:

     expanded_coefficients = np.empty(shape, dtype=np.object)

     to:

     expanded_coefficients = np.empty(shape, dtype=object)

   • Similarly, adjusted dtype in:

     coefficients_1 = np.zeros(coefficients.shape, dtype=np.object)
     coefficients_2 = np.zeros(coefficients.shape, dtype=np.object)

     to:

     coefficients_1 = np.zeros(coefficients.shape, dtype=object)
     coefficients_2 = np.zeros(coefficients.shape, dtype=object)

[davidsaxton]

Will this import work with older versions of sympy? If not - could it be changed to have some conditional import depending on version (or e.g. try: ... except ImportError: ...) Thanks!