143 lines
4.1 KiB
Python
143 lines
4.1 KiB
Python
def point_maker(pre_point):
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if isinstance(pre_point, Point):
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return pre_point
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elif isinstance(pre_point, tuple):
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return Point(pre_point[0], pre_point[1])
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else:
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raise ValueError("Invalid input for Point")
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class ShapeBase(object):
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def __init__(self):
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pass
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def show(self):
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pass
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def move(self, dx, dy):
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pass
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def set_color(self, color):
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pass
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def get_color(self):
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pass
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class Shape2D(ShapeBase):
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def __init__(self, **kwargs):
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super(Shape2D, self).__init__()
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self.color = kwargs.get("color", "white")
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self.fill = kwargs.get("fill", False)
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self.width = kwargs.get("width", 1)
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class Point(Shape2D):
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def __init__(self, x, y):
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super(Point, self).__init__()
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self._x = x
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self._y = y
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@property
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def x(self):
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return self._x
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@property
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def y(self):
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return self._y
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class Line(Shape2D):
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def __init__(self, point1, point2, **kwargs):
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super(Line, self).__init__(**kwargs)
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self.point1 = point_maker(point1)
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self.point2 = point_maker(point2)
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def contains(self, point, allow_on_extended=False):
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"""判断点`point`是否在线段上
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Args:
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point (Point or tuple): 需要判断的点
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allow_on_extended (bool, optional): 是否允许点在线段的延长线上. Defaults to False.
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Returns:
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_type_: boolean
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"""
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point = point_maker(point)
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f = self.function()
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if allow_on_extended:
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return f(point.x) == point.y
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else:
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return f(point.x) == point.y and (
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(point.x >= min(self.point1.x, self.point2.x) and point.x <= max(self.point1.x, self.point2.x)))
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# 通过关键字`in`判断点是否在线段上
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def __contains__(self, point):
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return self.contains(point)
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# 该线段所在直线的纵截距
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def y_intercept(self):
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if self.point1.x == self.point2.x:
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return 0
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return ((self.point1.y * self.point2.x) \
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- (self.point1.x * self.point2.y)) \
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/ (self.point2.x - self.point1.x)
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# 该线段的斜率
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def slope(self):
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if self.point1.x - self.point2.x == 0:
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return float("inf")
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else:
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return (self.point1.y - self.point2.y) / (self.point1.x - self.point2.x)
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# 该线段所在直线的函数方程
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def function(self):
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a = self.slope()
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b = self.y_intercept()
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return lambda x: a * x + b
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# 该线段的函数式
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def equation(self):
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if self.point1.x - self.point2.x == 0:
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return "y = " + str(self.point1.y)
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else:
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a = self.slope()
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b = self.y_intercept()
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return f"y = {a}x{' + ' if b != 0 else ''}{b if b != 0 else ''}"
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# 该线段的长度
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def length(self):
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return (
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(self.point1.x - self.point2.x) ** 2 + (self.point1.y - self.point2.y) ** 2
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) ** 0.5
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# 该线段与另一线段的交点
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def intersection(self, other):
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if isinstance(other, Line):
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if self.slope() == other.slope():
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return None
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else:
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x = (
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self.slope() * other.point1.x
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- self.point1.y
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+ other.slope() * self.point1.x
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- other.point1.y
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) / (self.slope() - other.slope())
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y = self.slope() * (x - self.point1.x) + self.point1.y
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return Point(x, y)
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else:
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raise ValueError("Invalid input for Line")
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class Rectangle(Shape2D):
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def __init__(self, point1, point2):
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super(Rectangle, self).__init__()
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if isinstance(point1, Point) and isinstance(point2, Point):
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self.point1 = point1
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self.point2 = point2
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elif isinstance(point1, tuple) and isinstance(point2, tuple):
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self.point1 = Point(point1[0], point1[1])
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self.point2 = Point(point2[0], point2[1])
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else:
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raise ValueError("Invalid input for Rectangle")
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