Symbolic Algebra MCP Server

from server import ( intro, introduce_expression, create_matrix, matrix_determinant, matrix_inverse, matrix_eigenvalues, matrix_eigenvectors, substitute_expression, print_latex_expression, ) def test_matrix_creation(): # Create a simple 2x2 matrix matrix_key = create_matrix([[1, 2], [3, 4]], "M") assert matrix_key == "M" def test_determinant(): # Create a matrix and calculate its determinant matrix_key = create_matrix([[1, 2], [3, 4]], "M") det_key = matrix_determinant(matrix_key) # Should be -2 expr = print_latex_expression(det_key) assert expr == "-2" def test_inverse(): # Create a matrix and calculate its inverse matrix_key = create_matrix([[1, 2], [3, 4]], "M") inv_key = matrix_inverse(matrix_key) # Check result - don't check exact string as it may vary expr = print_latex_expression(inv_key) # The inverse of [[1, 2], [3, 4]] should have -2, 1, 3/2, -1/2 as elements assert "-2" in expr assert "1" in expr assert "\\frac{3}{2}" in expr def test_eigenvalues(): # Create a matrix and calculate its eigenvalues matrix_key = create_matrix([[3, 1], [1, 3]], "M") evals_key = matrix_eigenvalues(matrix_key) # Eigenvalues should be 2 and 4 expr = print_latex_expression(evals_key) assert "2" in expr assert "4" in expr def test_eigenvectors(): # Create a matrix and calculate its eigenvectors matrix_key = create_matrix([[3, 1], [1, 3]], "M") evecs_key = matrix_eigenvectors(matrix_key) # Just check that the result is not an error expr = print_latex_expression(evecs_key) assert "Error" not in expr def test_substitute(): # Create variables and expressions intro("x", [], []) intro("y", [], []) expr1 = introduce_expression("x**2 + y**2") expr2 = introduce_expression("y + 1") # Substitute y = y + 1 in x^2 + y^2 result_key = substitute_expression(expr1, "y", expr2) # Result should be x^2 + (y+1)^2 = x^2 + y^2 + 2y + 1 expr = print_latex_expression(result_key) assert "x^{2}" in expr assert "y" in expr