🐛 fix ε accuracy

tests/test_line3.py

@@ -0,0 +1,33 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/26 上午7:54
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : test_line3.py
+@Software: PyCharm
+"""
+import logging
+
+from mbcp.mp_math.point import Point3
+from mbcp.mp_math.vector import Vector3
+from mbcp.mp_math.line import Line3
+
+
+class TestLine3:
+
+    def test_point_and_normal_factory(self):
+        """
+        测试通过点和法向量构造直线
+        """
+        correct_ans = Line3(1, -2, 3, -8)
+
+        p = Point3(2, -3, 0)
+        n = Vector3(1, -2, 3)
+
+        actual_ans = Line3.from_point_and_direction(p, n)
+        logging.info(f"正确答案：{correct_ans}    实际答案：{actual_ans}")
+        assert actual_ans == correct_ans
+
+

tests/test_plane3.py

@@ -0,0 +1,29 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/26 上午9:07
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : test_plane3.py
+@Software: PyCharm
+"""
+import logging
+
+from mbcp.mp_math.line import Line3
+from mbcp.mp_math.plane import Plane3
+
+
+class TestPlane3:
+
+    def test_intersection_line3(self):
+        """
+        测试平面的交线
+        """
+        correct_ans = Line3(4, 3, 1, 1)
+
+        pl1 = Plane3(1, 0, -4, 23)
+        pl2 = Plane3(2, -1, -5, 33)
+        actual_ans = pl1.cal_intersection_line3(pl2)
+        logging.info(f"正确答案：{correct_ans}    实际答案：{actual_ans}")
+        assert actual_ans == correct_ans

tests/test_vector.py

@@ -1,22 +0,0 @@
-# -*- coding: utf-8 -*-
-"""
-Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
-
-@Time    : 2024/8/6 下午1:05
-@Author  : snowykami
-@Email   : snowykami@outlook.com
-@File    : test_vector.py
-@Software: PyCharm
-"""
-from mbcp.mp_math.vector import Vector3
-from mbcp.mp_math.point import Point3
-
-
-def test_v():
-    v1 = Vector3(1, 2, 3)
-    v2 = Vector3(4, 5, 6)
-    v3 = v1 + v2
-    assert v3._x == 5
-    assert v3._y == 7
-    assert v3._z == 9
-    print("test_v 1111passed")

tests/test_vector3.py

@@ -0,0 +1,52 @@
+# -*- coding: utf-8 -*-
+"""
+Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved 
+
+@Time    : 2024/8/26 上午6:58
+@Author  : snowykami
+@Email   : snowykami@outlook.com
+@File    : test_question_1.py
+@Software: PyCharm
+"""
+import logging
+
+from mbcp.mp_math.vector import Vector3
+
+
+class TestVector3:
+
+    """测试问题集"""
+    def test_vector_cross_product(self):
+        """
+        测试向量叉乘
+        Returns:
+        """
+        v1 = Vector3(1, 2, 3)
+        v2 = Vector3(3, 4, 5)
+        actual_ans = v1 @ v2
+        correct_ans = Vector3(-2, 4, -2)
+        logging.info(f"正确答案{correct_ans}    实际答案{v1 @ v2}")
+
+        assert correct_ans == actual_ans
+
+    def test_determine_vector_parallel(self):
+        """
+        测试判断向量是否平行
+        Returns:
+        """
+        v1 = Vector3(1, 2, 3)
+        v2 = Vector3(3, 6, 9)
+        actual_ans = v1.is_parallel(v2)
+        correct_ans = True
+        logging.info("v1和v2是否平行：%s", v1.is_parallel(v2))
+        assert correct_ans == actual_ans
+
+        v1 = Vector3(1, 2, 3)
+        v2 = Vector3(3, 6, 8)
+        actual_ans = v1.is_parallel(v2)
+        correct_ans = False
+        logging.info("v1和v2是否平行：%s", v1.is_parallel(v2))
+        assert correct_ans == actual_ans
+
+
+

tests/test_word_problem.py

@@ -0,0 +1,43 @@
+# -*- coding: utf-8 -*-
+"""
+应用题测试集
+"""
+import logging
+
+from mbcp.mp_math.line import Line3
+from mbcp.mp_math.plane import Plane3
+from mbcp.mp_math.point import Point3
+
+
+class TestWordProblem:
+
+    def test_c8s4e4(self):
+        """
+        同济大学《高等数学》第八版 下册 第八章第四节例4
+        问题：求与两平面x-4z-3=0和2x-y-5z-1=0的交线平行且过点(-3, 2, 5)的直线方程。
+        """
+        correct_ans = Line3(4, 3, 1, 1)
+
+        pl1 = Plane3(1, 0, -4, -3)
+        pl2 = Plane3(2, -1, -5, -1)
+        p = Point3(-3, 2, 5)
+        """解法1"""
+        # 求直线方向向量s
+        s = pl1.normal @ pl2.normal
+        actual_ans = Line3.from_point_and_direction(p, s)
+
+        logging.info(f"正确答案：{correct_ans}    实际答案：{actual_ans}")
+        assert actual_ans == correct_ans
+
+        """解法2"""
+        # 过点p且与pl1平行的平面pl3
+        pl3 = pl1.cal_parallel_plane3(p)
+        # 过点p且与pl2平行的平面pl4
+        pl4 = pl2.cal_parallel_plane3(p)
+        # 求pl3和pl4的交线
+        actual_ans = pl3.cal_intersection_line3(pl4)
+        print(pl3, pl4, actual_ans)
+
+        logging.info(f"正确答案：{correct_ans}    实际答案：{actual_ans}")
+        assert actual_ans == correct_ans
+