Vector

class compas.geometry.Vector(x, y, z=0.0, **kwargs)[source]

Bases: Primitive

A vector is defined by XYZ components and a homogenisation factor.

Parameters

x (float) – The X component of the vector.
y (float) – The Y component of the vector.
z (float) – The Z component of the vector.

Attributes

x (float) – The X coordinate of the point.
y (float) – The Y coordinate of the point.
z (float) – The Z coordinate of the point.
length (float, read-only) – The length of this vector.

Examples

>>> u = Vector(1, 0, 0)
>>> v = Vector(0, 1, 0)
>>> u
Vector(1.000, 0.000, 0.000)
>>> v
Vector(0.000, 1.000, 0.000)
>>> u.x
1.0
>>> u[0]
1.0
>>> u.length
1.0
>>> u + v
Vector(1.000, 1.000, 0.000)
>>> u + [0.0, 1.0, 0.0]
Vector(1.000, 1.000, 0.000)
>>> u * 2
Vector(2.000, 0.000, 0.000)
>>> u.dot(v)
0.0
>>> u.cross(v)
Vector(0.000, 0.000, 1.000)

Methods

`Xaxis`	Construct a unit vector along the X axis.
`Yaxis`	Construct a unit vector along the Y axis.
`Zaxis`	Construct a unit vector along the Z axis.
`angle`	Compute the smallest angle between this vector and another vector.
`angle_signed`	Compute the signed angle between this vector and another vector.
`angle_vectors`	Compute the smallest angle between corresponding pairs of two lists of vectors.
`angles`	Compute both angles between this vector and another vector.
`angles_vectors`	Compute both angles between corresponding pairs of two lists of vectors.
`copy`	Make a copy of this vector.
`cross`	The cross product of this vector and another vector.
`cross_vectors`	Compute the cross product of two lists of vectors.
`dot`	The dot product of this vector and another vector.
`dot_vectors`	Compute the dot product of two lists of vectors.
`from_data`	Construct a vector from a data dict.
`from_start_end`	Construct a vector from start and end points.
`invert`	Invert the direction of this vector
`inverted`	Returns a inverted copy of this vector
`length_vectors`	Compute the length of multiple vectors.
`scale`	Scale this vector by a factor n.
`scaled`	Returns a scaled copy of this vector.
`sum_vectors`	Compute the sum of multiple vectors.
`transform`	Transform this vector.
`transform_collection`	Transform a collection of vector objects.
`transformed`	Return a transformed copy of this vector.
`transformed_collection`	Create a collection of transformed vectors.
`unitize`	Scale this vector to unit length.
`unitized`	Returns a unitized copy of this vector.

Inherited Methods

`from_json`	Construct an object from serialized data contained in a JSON file.
`from_jsonstring`	Construct an object from serialized data contained in a JSON string.
`to_data`	Convert an object to its native data representation.
`to_json`	Serialize the data representation of an object to a JSON file.
`to_jsonstring`	Serialize the data representation of an object to a JSON string.
`validate_data`	Validate the object's data against its data schema.
`validate_json`	Validate the object's data against its json schema.

Vector

COMPAS