feat: upgrade toolbox for v1.2.1

backend/toolbox/test_engine.py

@@ -49,6 +49,108 @@ def test_calculate_方程矩阵统计与进制():
     assert combinations["result"]["exact"] == "120"
 
 
+def test_calculate_高级微积分与多元分析():
+    series = calculate(
+        {
+            "operation": "series",
+            "expression": "exp(x)",
+            "variable": "x",
+            "point": "0",
+            "order": 5,
+        }
+    )
+    gradient = calculate(
+        {
+            "operation": "gradient",
+            "expression": "x^2*y + sin(y)",
+            "variables": "x,y",
+        }
+    )
+    hessian = calculate(
+        {
+            "operation": "hessian",
+            "expression": "x^2 + x*y + y^2",
+            "variables": "x,y",
+        }
+    )
+    roots = calculate(
+        {
+            "operation": "polynomial_roots",
+            "expression": "x^3 - 1 = 0",
+            "variable": "x",
+        }
+    )
+
+    assert "x**4/24" in series["result"]["exact"]
+    assert gradient["result"]["exact"] == "[[2*x*y], [x**2 + cos(y)]]"
+    assert hessian["result"]["exact"] == "[[2, 1], [1, 2]]"
+    assert len(roots["result"]) == 3
+
+
+def test_calculate_线性代数与方程组():
+    system = calculate(
+        {
+            "operation": "solve_system",
+            "expression": "x + y = 5; x - y = 1",
+            "variables": "x,y",
+        }
+    )
+    rank = calculate(
+        {"operation": "matrix_rank", "expression": "1,2,3;2,4,6"}
+    )
+    nullspace = calculate(
+        {"operation": "matrix_nullspace", "expression": "1,2;2,4"}
+    )
+    eigenvalues = calculate(
+        {"operation": "matrix_eigenvalues", "expression": "2,0;0,3"}
+    )
+
+    assert system["result"][0]["x"]["exact"] == "3"
+    assert system["result"][0]["y"]["exact"] == "2"
+    assert rank["result"]["exact"] == "1"
+    assert nullspace["result"][0]["exact"] == "[[-2], [1]]"
+    assert set(eigenvalues["result"]) == {"2", "3"}
+
+
+def test_calculate_统计包含四分位数与极差():
+    result = calculate(
+        {"operation": "statistics", "expression": "1,2,3,4,5"}
+    )["result"]
+
+    assert result["sum"] == 15
+    assert result["q1"] == 2
+    assert result["q3"] == 4
+    assert result["range"] == 4
+
+
+@pytest.mark.parametrize(
+    ("payload", "field"),
+    [
+        (
+            {
+                "operation": "series",
+                "expression": "exp(x)",
+                "order": "not-an-integer",
+            },
+            "order",
+        ),
+        (
+            {
+                "operation": "polynomial_roots",
+                "expression": "x + y",
+                "variable": "x",
+            },
+            "expression",
+        ),
+    ],
+)
+def test_calculate_高级操作返回可读校验错误(payload, field):
+    with pytest.raises(ValidationError) as exc_info:
+        calculate(payload)
+
+    assert field in exc_info.value.detail
+
+
 @pytest.mark.parametrize(
     "source",
     [