import pytest from rest_framework.exceptions import ValidationError from toolbox.engine import calculate, parse_expression def test_calculate_精确计算与微积分(): exact = calculate({"operation": "calculate", "expression": "sqrt(2) + 1/3"}) derivative = calculate( {"operation": "derivative", "expression": "sin(x) + x^3", "variable": "x"} ) integral = calculate( { "operation": "integral", "expression": "x^2", "variable": "x", "lower": "0", "upper": "3", } ) assert exact["result"]["exact"] == "1/3 + sqrt(2)" assert derivative["result"]["exact"] == "3*x**2 + cos(x)" assert integral["result"]["exact"] == "9" def test_calculate_方程矩阵统计与进制(): solved = calculate({"operation": "solve", "expression": "x^2 - 5*x + 6 = 0"}) determinant = calculate({"operation": "matrix_det", "expression": "1,2;3,4"}) statistics = calculate({"operation": "statistics", "expression": "1,2,3,4"}) converted = calculate( {"operation": "base", "expression": "FF", "from_base": 16, "to_base": 2} ) units = calculate( { "operation": "unit", "expression": "1.75", "from_unit": "m", "to_unit": "cm", } ) combinations = calculate({"operation": "calculate", "expression": "binomial(10, 3)"}) assert [item["exact"] for item in solved["result"]] == ["2", "3"] assert determinant["result"]["exact"] == "-2" assert statistics["result"]["mean"] == 2.5 assert converted["result"]["exact"] == "11111111" assert units["result"]["exact"] == "175 cm" assert combinations["result"]["exact"] == "120" @pytest.mark.parametrize( "source", [ "__import__('os').system('id')", "open('/etc/passwd')", "x.__class__", "[x for x in range(10)]", ], ) def test_parse_expression_拒绝非数学语法(source): with pytest.raises(ValidationError): parse_expression(source)