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from math import sqrt, acos, degrees, cos, sin, radians | ||
from typing import Union | ||
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class Vector: | ||
# write your code here | ||
pass | ||
def __init__(self, coord_x: float, coord_y: float) -> None: | ||
self.x = round(coord_x, 2) | ||
self.y = round(coord_y, 2) | ||
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def __add__(self, other: "Vector") -> "Vector": | ||
return Vector(self.x + other.x, self.y + other.y) | ||
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def __sub__(self, other: "Vector") -> "Vector": | ||
return Vector(self.x - other.x, self.y - other.y) | ||
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def __mul__(self, other: Union["Vector", int, float])\ | ||
-> Union[float, "Vector"]: | ||
if isinstance(other, Vector): | ||
return self.x * other.x + self.y * other.y | ||
elif isinstance(other, (int, float)): | ||
return ( | ||
Vector(self.x * other, self.y * other) | ||
) | ||
raise TypeError( | ||
"Multiplication is supported only with Vector or number" | ||
) | ||
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@classmethod | ||
def create_vector_by_two_points( | ||
cls, | ||
start_point: tuple, | ||
end_point: tuple | ||
) -> "Vector": | ||
delta_x = end_point[0] - start_point[0] | ||
delta_y = end_point[1] - start_point[1] | ||
return cls(delta_x, delta_y) | ||
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def get_length(self) -> float: | ||
return sqrt(self.x ** 2 + self.y ** 2) | ||
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def get_normalized(self) -> "Vector": | ||
length = self.get_length() | ||
if length == 0: | ||
raise ValueError("Cannot normalize a zero-length vector") | ||
normalized_x = self.x / length | ||
normalized_y = self.y / length | ||
return Vector(round(normalized_x, 2), round(normalized_y, 2)) | ||
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def angle_between(self, other: "Vector") -> int: | ||
dot_product = self.x * other.x + self.y * other.y | ||
length_self = self.get_length() | ||
length_other = other.get_length() | ||
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if length_self == 0 or length_other == 0: | ||
raise ValueError( | ||
"Cannot calculate angle with a zero-length vector" | ||
) | ||
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cos_a = dot_product / (length_self * length_other) | ||
angle = degrees(acos(cos_a)) | ||
return round(angle) | ||
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def get_angle(self) -> int: | ||
y_axis_vector = Vector(0, 1) | ||
return self.angle_between(y_axis_vector) | ||
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def rotate(self, angle_degrees: int) -> "Vector": | ||
radians_angle = radians(angle_degrees) | ||
rotated_x = ( | ||
self.x * cos(radians_angle) - self.y * sin(radians_angle) | ||
) | ||
rotated_y = ( | ||
self.x * sin(radians_angle) + self.y * cos(radians_angle) | ||
) | ||
return Vector(round(rotated_x, 2), round(rotated_y, 2)) |