Task_4.3

from math import sqrt


class Point:

    def __init__(self, x, y):
        self.x = x
        self.y = y

    def dist(self, other):
        return sqrt((self.x - other.x) ** 2 + (self.y - other.y) ** 2)

    def getX(self):
        return self.x

    def getY(self):
        return self.y

    def __str__(self):
        return f'{self.x}, {self.y}'


v, v1 = Point(1, 1), Point(3, 3)
print(v, v1, v.dist(v1), sep='\n')


class Triangle:

    def __init__(self, x1, y1):
        self.a = Point(0, 0)
        self.b = Point(0, 5)
        self.c = Point(5, 0)
        self.x1, self.y1 = x1, y1

    def per(self):
        return self.a.dist(self.b) + self.b.dist(self.c) + self.c.dist(self.a)

    def sqr(self):
        return sqrt((self.per() / 2 - self.a.dist(self.b)) \
                    + (self.per() / 2 - self.b.dist(self.c)) + \
                    (self.per() / 2 - self.c.dist(self.a)))

    def acc(self):
        if ((self.a.getX() - self.x1) * (self.b.getY() - self.a.getY()) - (self.b.getX() - self.a.getX()) * (self.a.getY() - self.y1)) > 0 and \
                ((self.b.getX() - self.x1) * (self.c.getY() - self.b.getY()) - (self.c.getX() - self.b.getX()) * (self.b.getY() - self.y1)) > 0 and \
                ((self.c.getX() - self.x1) * (self.a.getY() - self.c.getY()) - (self.a.getX() - self.c.getX()) * (self.c.getY() - self.y1)) > 0:
            return 'Inside'
        elif ((self.a.getX() - self.x1) * (self.b.getY() - self.a.getY()) - (self.b.getX() - self.a.getX()) * (self.a.getY() - self.y1)) < 0 and \
                ((self.b.getX() - self.x1) * (self.c.getY() - self.b.getY()) - (self.c.getX() - self.b.getX()) * (self.b.getY() - self.y1)) < 0 and \
                ((self.c.getX() - self.x1) * (self.a.getY() - self.c.getY()) - (self.a.getX() - self.c.getX()) * (self.c.getY() - self.y1)) < 0:
            return 'Inside'
        elif ((self.a.getX() - self.x1) * (self.b.getY() - self.a.getY()) - (self.b.getX() - self.a.getX()) * (self.a.getY() - self.y1)) == 0 or \
                ((self.b.getX() - self.x1) * (self.c.getY() - self.b.getY()) - (self.c.getX() - self.b.getX()) * (self.b.getY() - self.y1)) == 0 or \
                ((self.c.getX() - self.x1) * (self.a.getY() - self.c.getY()) - (self.a.getX() - self.c.getX()) * (self.c.getY() - self.y1)) == 0:
            return 'On edge'
        else:
            return 'Outside'

    def __str__(self):
        return f'({self.a}); ({self.b}); ({self.c})'


x = Triangle(0, 0)
print(x, x.per(), x.sqr(), x.acc(), sep='\n')