Point

class compas.geometry.Point(x, y, z=0.0)[source]

Bases: compas.geometry.primitives._primitive.Primitive

A point is defined by XYZ coordinates.

Parameters

x (float) – The X coordinate of the point.
y (float) – The Y coordinate of the point.
z (float, optional) – The Z coordinate of the point. Default is 0.0.

Attributes

data (dict) – The data representation of the point.
x (float) – The X coordinate of the point.
y (float) – The Y coordinate of the point.
z (float) – The Z coordinate of the point.

Notes

A Point object supports direct access to its xyz coordinates through the dot notation, as well list-style access using indices. Indexed access is implemented such that the Point behaves like a circular list 1.

References

1: Stack Overflow. Pythonic Circular List. Available at: https://stackoverflow.com/questions/8951020/pythonic-circular-list.

Examples

>>> p1 = Point(1, 2, 3)
>>> p2 = Point(4, 5, 6)

The XYZ coordinates of point objects can be accessed as object attributes or by trating the points as lists.

>>> p1.x
1.0
>>> p1.y
2.0
>>> p1.z
3.0
>>> p1[0]
1.0
>>> p1[1]
2.0
>>> p1[2]
3.0

Point objects support basic arithmetic operations.

>>> p1 + p2
Point(5.000, 7.000, 9.000)
>>> p1 * 2
Point(2.000, 4.000, 6.000)
>>> p1 ** 2
Point(1.000, 4.000, 9.000)
>>> p1
Point(1.000, 2.000, 3.000)

Points and lists can be used interchangeably.

>>> p1 + [4, 5, 6]
Point(5.000, 7.000, 9.000)

Arithmetic operations can also be applied to modify a point object in-place.

>>> p1 += p2
>>> p1 *= 2
>>> p1 **= 2
>>> p1
Point(100.000, 196.000, 324.000)

Methods

`copy`()	Makes a copy of this primitive.
`distance_to_line`(line)	Compute the distance to a line.
`distance_to_plane`(plane)	Compute the distance to a plane.
`distance_to_point`(point)	Compute the distance to another point.
`from_data`(data)	Construct a point from a data dict.
`from_json`(filepath)	Construct a primitive from structured data contained in a json file.
`in_circle`(circle)	Determine if the point lies inside the given circle.
`in_polygon`(polygon[, convex])	Determine if the point lies inside the given polygon.
`in_polyhedron`(polyhedron)	Determine if the point lies inside the given polyhedron.
`in_triangle`(triangle)	Determine if the point lies inside the given triangle.
`on_circle`(circle)	Determine if the point lies on the given circle.
`on_line`(line)	Determine if the point lies on the given line.
`on_polyline`(polyline)	Determine if the point lies on the given polyline.
`on_segment`(segment)	Determine if the point lies on the given segment.
`to_data`()	Returns the data dictionary that represents the primitive.
`to_json`(filepath)	Serialise the structured data representing the primitive to json.
`transform`(T)	Transform this point.
`transform_collection`(collection, X)	Transform a collection of points.
`transformed`(transformation)	Returns a transformed copy of this primitive.
`transformed_collection`(collection, X)	Create a collection of transformed points.
`validate_data`()	Validate the data of this object against its data schema (self.DATASCHEMA).
`validate_json`()	Validate the data loaded from a JSON representation of the data of this object against its data schema (self.DATASCHEMA).

Point

COMPAS