def __init__(self, point1: Point, point2: Point = None):
point1 = Point.check_Point(point1)
if type(point2) is None:
self.start_point: Point = Point(0, 0)
self.end_point: Point = point1
else:
point2 = Point.check_Point(point2)
self.start_point: Point = point1
self.end_point: Point = point2
def line_intersection_point(vector1: FlatVector, vector2: FlatVector):
# составляем формулы двух прямых
x1_1 = vector1.start_point.x
y1_1 = vector1.start_point.y
x1_2 = vector1.end_point.x
y1_2 = vector1.end_point.y
x2_1 = vector2.start_point.x
y2_1 = vector2.start_point.y
x2_2 = vector2.end_point.x
y2_2 = vector2.end_point.y
A1 = y1_1 - y1_2
B1 = x1_2 - x1_1
C1 = x1_1 * y1_2 - x1_2 * y1_1
A2 = y2_1 - y2_2
B2 = x2_2 - x2_1
C2 = x2_1 * y2_2 - x2_2 * y2_1
# решаем систему двух уравнений
if B1 * A2 - B2 * A1 != 0:
y = (C2 * A1 - C1 * A2) / (B1 * A2 - B2 * A1)
if B1 * A2 - B2 * A1 == 0:
return False
if A1 == 0:
x = 0
else:
x = (-C1 - B1 * y) / A1
# проверяем, находится ли решение системы (точка пересечения) на первом отрезке, min/max - потому
# что координаты точки могут быть заданы не по порядку возрастания
if min(x1_1, x1_2) <= x <= max(x1_1, x1_2) and min(
y1_1, y1_2) <= y <= max(y1_1, y1_2):
return Point(x, y)
else:
return False
def __sub__(self, other):
if type(other) == FlatVector:
return FlatVector(self.start_point - other.start_point,
self.end_point - other.end_point)
other = Point.check_Point(other)
start = self.start_point - other
end = self.end_point - other
return FlatVector(start, end)
def __add__(self, other: Point or tuple or list):
if type(other) == FlatVector:
return FlatVector(self.start_point + other.start_point,
self.end_point + other.end_point)
other = Point.check_Point(other)
start = self.start_point + other
end = self.end_point + other
return FlatVector(start, end)
def __mul__(self, other):
other = Point.check_Point(other)
start = self.start_point * other
end = self.end_point * other
return FlatVector(start, end)
def move_to_point(self, new_start_point: Point or tuple):
new_start_point = Point.check_Point(new_start_point)
dif_val = self.start_point - new_start_point
self.start_point -= dif_val
self.end_point -= dif_val