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Point
Represents a point in 3D space with x, y, and z coordinates.
Initializes a new Point instance with the given x, y, and z coordinates.
- `x` (float): X-coordinate of the point.
- `y` (float): Y-coordinate of the point.
- `z` (float): Z-coordinate of the point.
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__str__(self) -> str: Converts the point to its string representation. -
deserialize(data): Deserializes the point object from the provided data. -
diff(point_1: Point, point_2: Point) -> Point: Computes the difference between two points. -
difference(point_1: Point, point_2: Point): Computes the difference between two points as a Vector object. -
distance(point_1: Point, point_2: Point) -> float: Computes the Euclidean distance between two 3D points. -
distance_list(points: list[Point]) -> float: Calculates distances between points in a list. -
from_matrix(list: list) -> Point: Converts a list to a Point object. -
intersect(point_1: Point, point_2: Point) -> Point: Checks if two points intersect. -
origin(point_1: Point, point_2: Point) -> Point: Computes the midpoint between two points. -
point_2D_to_3D(point_2D) -> Point: Converts a 2D point to a 3D point with zero z-coordinate. -
product(number: float, point: Point) -> Point: Scales the point by a given factor. -
rotate_XY(point: Point, beta: float, dz: float) -> Point: Rotates the point about the Z-axis by a given angle. -
serialize(self): Serializes the point object. -
sum(point_1: Point, point_2: Point) -> Point: Computes the sum of two points. -
to_matrix(point: Point) -> Point: Converts the point to a list. -
to_vector(point: Point): Converts the point to a Vector object. -
translate(point: Point, vector) -> Point: Translates the point by a given vector.
Converts the point to its string representation.
Deserializes the point object from the provided data.
Computes the difference between two points.
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point_1(Point): First point. -
point_2(Point): Second point.
Point: Difference between the two input points.
point_1 = Point(100.23, 182, 19)
point_2 = Point(81, 0.1, -901)
output = Point.diff(point_1, point_2)
# Point(X = 19.230, Y = 181.900, Z = 920.000)Computes the difference between two points as a Vector object.
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point_1(Point): First point. -
point_2(Point): Second point.
Vector: Difference between the two input points as a Vector object.
point_1 = Point(23, 1, 23)
point_2 = Point(93, 0, -19)
output = Point.difference(point_1, point_2)
# Vector(X = 70.000, Y = -1.000, Z = -42.000)Computes the Euclidean distance between two 3D points.
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point_1(Point): The first point. -
point_2(Point): The second point.
float: The Euclidean distance between point_1 and point_2.
point_1 = Point(100.23, 182, 19)
point_2 = Point(81, 0.1, -901)
output = Point.distance(point_1, point_2)
# 938.0071443757771Calculates distances between points in a list.
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points(list): List of points.
float: Total distance calculated between all the points in the list.
point_1 = Point(231, 13, 76)
point_2 = Point(71, 12.3, -232)
point_3 = Point(2, 71, -102)
output = Point.distance_list([point_1, point_2, point_3])
# [(<geometry.point.Point object at 0x00000226BD9CAB90>, <geometry.point.Point object at 0x00000226BA3BCFD0>, 158.45090722365714), (<geometry.point.Point object at 0x00000226BF20F710>, <geometry.point.Point object at 0x00000226BA3BCFD0>, 295.78539517697624), (<geometry.point.Point object at 0x00000226BF20F710>, <geometry.point.Point object at 0x00000226BD9CAB90>, 347.07994756251765)]Converts a list to a Point object.
Converts a list to a Point object.
Point: Point object created from the list.
point_1 = [19, 30, 12.3]
output = Point.from_matrix(point_1)
# Point(X = 19.000, Y = 30.000, Z = 12.300)Checks if two points intersect.
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point_1(Point): First point. -
point_2(Point): Second point.
boolean: True if points intersect, False otherwise.
point_1 = Point(23, 1, 23)
point_2 = Point(93, 0, -19)
output = Point.intersect(point_1, point_2)
# FalseComputes the midpoint between two points.
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point_1(Point): First point. -
point_2(Point): Second point.
Point: Midpoint between the two input points.
point_1 = Point(100.23, 182, 19)
point_2 = Point(81, 0.1, -901)
output = Point.origin(point_1, point_2)
# Point(X = 90.615, Y = 91.050, Z = -441.000)Converts a 2D point to a 3D point with zero z-coordinate.
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point2D(Point): 2D point to be converted.
Point: 3D point with zero z-coordinate.
point_1 = Point2D(19, 30)
output = Point.point_2D_to_3D(point_1)
# Point(X = 19.000, Y = 30.000, Z = 0.000)Scales the point by a given factor.
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number(float): Scaling factor. -
point(Point): Point to be scaled.
Point: Scaled point.
point_1 = Point(9, 20, 10)
output = Point.product(12, point_1)
# Point(X = 108.000, Y = 240.000, Z = 120.000)Rotates the point about the Z-axis by a given angle.
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point(Point): Point to be rotated. -
beta(float): Angle of rotation in degrees. -
dz(float): Offset in the z-coordinate.
Point: Rotated point.
point_1 = Point(19, 30, 12.3)
output = Point.rotate_XY(point_1, 90, 12)
# Point(X = -30.000, Y = 19.000, Z = 24.300)Serializes the point object.
Computes the sum of two points.
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point_1(Point): First point. -
point_2(Point): Second point.
Point: Sum of the two input points.
point_1 = Point(23, 1, 23)
point_2 = Point(93, 0, -19)
output = Point.sum(point_1, point_2)
# Point(X = 116.000, Y = 1.000, Z = 4.000)Converts the point to a list.
Converts the point to a list.
list: List representation of the point.
point_1 = Point(23, 1, 23)
output = Point.to_matrix(point_1)
# [23.0, 1.0, 23.0]Converts the point to a Vector object.
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point(Point): Point to be converted.
Vector: Vector representation of the point.
point_1 = Point(9, 20, 10)
output = Point.to_vector(point_1)
# Vector(X = 9.000, Y = 20.000, Z = 10.000)Translates the point by a given vector.
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point(Point): The point to be translated. -
vector(Vector): The translation vector.
Point: Translated point.
point = Point(23, 1, 23)
vector = Vector(93, 0, -19)
output = Point.translate(point, vector)
# Point(X = 116.000, Y = 1.000, Z = 4.000)