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130 lines
5.1 KiB
Python
130 lines
5.1 KiB
Python
# -*- coding: utf-8 -*-
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"""
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Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved
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@Time : 2024/8/26 上午7:54
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@Author : snowykami
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@Email : snowykami@outlook.com
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@File : test_line3.py
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@Software: PyCharm
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"""
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import logging
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from liteyuki import logger # type: ignore
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from mbcp.mp_math.angle import AnyAngle
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from mbcp.mp_math.const import PI
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from mbcp.mp_math.point import Point3
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from mbcp.mp_math.utils import approx
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from mbcp.mp_math.vector import Vector3
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from mbcp.mp_math.line import Line3
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from tests.answer import output_ans
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class TestLine3:
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def test_cal_angle(self) -> None:
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"""
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计算两条直线的夹角
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"""
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"""测试样例们"""
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samples: tuple[tuple[Line3, Line3, AnyAngle], ...] = (
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(
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Line3(Point3(0, 0, 0), Vector3(1, 1, 0)),
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Line3(Point3(0, 0, 0), Vector3(1, 0, 0)),
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AnyAngle(45)
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),
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(
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Line3(Point3(0, 0, 0), Vector3(0, 1, 0)),
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Line3(Point3(0, 0, 0), Vector3(1, 0, 0)),
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AnyAngle(90)
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)
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)
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for sample in samples:
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correct_ans = sample[2]
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actual_ans = sample[0].cal_angle(sample[1])
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output_ans(correct_ans, actual_ans, question="计算两条直线的夹角")
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assert correct_ans == actual_ans
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def test_cal_distance(self) -> None:
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"""
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计算两条直线的距离
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"""
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"""测试样例们"""
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samples: tuple[tuple[Line3, Line3, float], ...] = (
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( # 重合
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Line3(Point3(0, 0, 0), Vector3(1, 1, 1)),
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Line3(Point3(0, 0, 0), Vector3(2, 2, 2)),
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0
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),
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( # 两条直线相交
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Line3(Point3(0, 0, 0), Vector3(1, 1, 0)),
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Line3(Point3(0, 0, 0), Vector3(1, 0, 0)),
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0
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),
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( # 平行线
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Line3.from_two_points(Point3(0, 0, 0), Point3(1, 1, 0)),
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Line3.from_two_points(Point3(0, 0, 1), Point3(1, 1, 1)),
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1
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),
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( # 异面
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Line3.from_two_points(Point3(0, 0, 0), Point3(1, 1, 0)),
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Line3.from_two_points(Point3(1, 0, 2), Point3(0, 1, 2)),
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2
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),
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( # 异面2
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Line3.from_two_points(Point3(1, 0, 1), Point3(2, 1 ,0)),
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Line3.from_two_points(Point3(1, 2, 0), Point3(0, 1, 1)),
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2 ** 0.5
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)
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)
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for sample in samples:
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correct_ans = sample[2]
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actual_ans = sample[0].cal_distance(sample[1])
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output_ans(correct_ans, actual_ans,approx(correct_ans, actual_ans), question="计算两条直线的距离")
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def test_equal(self):
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(1, 1, 1), Vector3(2, 2, 2))
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output_ans(True, line1 == line2, question="判断两条直线是否相等")
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# 反例
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(1, 1, 1), Vector3(2, 2, 2.1))
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output_ans(False, line1 == line2, question="判断两条直线是否不相等")
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def test_approx(self):
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(1, 1, 1), Vector3(2, 2, 2.000000001))
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output_ans(True, line1.approx(line2), question="判断两条直线是否近似相等")
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# 反例
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(1, 1, 1), Vector3(2, 2, 3.1))
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output_ans(False, line1.approx(line2), question="判断两条直线是否不近似相等")
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def test_cal_intersection(self):
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line1 = Line3.from_two_points(Point3(0, 0, 0), Point3(2, 2, 2))
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line2 = Line3.from_two_points(Point3(0, 0, 2), Point3(2, 2, 0))
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output_ans(Point3(1, 1, 1), line1 & line2, question="计算两条直线的交点测1")
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line1 = Line3.from_two_points(Point3(0, 0, 0), Point3(0, 2, 2))
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line2 = Line3.from_two_points(Point3(0, 0, 2), Point3(0, 2, 0))
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output_ans(Point3(0, 1, 1), line1 & line2, question="计算两条直线的交点测2")
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line1 = Line3.from_two_points(Point3(0, 0, 0), Point3(0, 0, 2))
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line2 = Line3.from_two_points(Point3(0, 0, 2), Point3(0, 2, 0))
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output_ans(Point3(0, 0, 2), line1 & line2, question="计算两条直线的交点测3")
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# 反例：平行线无交点
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(2, 3, 1), Vector3(1, 1, 1))
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output_ans(None, line1 & line2, question="平行线交集为空集")
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# 反例：重合线交集为自身
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line1 = Line3(Point3(1, 1, 1), Vector3(1, 1, 1))
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line2 = Line3(Point3(0, 0, 0), Vector3(2, 2, 2))
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output_ans(line1, line1 & line2, question="重合线的交集为自身")
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