Vector

class compas.geometry.Vector

Bases: Geometry

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

Parameters:

xfloat

The X component of the vector.

yfloat

The Y component of the vector.

zfloat

The Z component of the vector.

namestr, optional

The name of the vector.

Attributes:

xfloat

The X coordinate of the point.

yfloat

The Y coordinate of the point.

zfloat

The Z coordinate of the point.

lengthfloat, read-only

The length of this vector.

Examples

>>> u = Vector(1, 0, 0)
>>> v = Vector(0, 1, 0)
>>> print(u)
Vector(x=1.000, y=0.000, z=0.000)
>>> print(v)
Vector(x=0.000, y=1.000, z=0.000)

>>> u.x
1.0
>>> u[0]
1.0
>>> u.length
1.0

>>> result = u + v
>>> print(result)
Vector(x=1.000, y=1.000, z=0.000)

>>> result = u + [0.0, 1.0, 0.0]
>>> print(result)
Vector(x=1.000, y=1.000, z=0.000)

>>> result = u * 2
>>> print(result)
Vector(x=2.000, y=0.000, z=0.000)

>>> u.dot(v)
0.0

>>> w = u.cross(v)
>>> print(w)
Vector(x=0.000, y=0.000, z=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.
component	Compute the component of this vector in the direction of another vector.
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_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

ToString	Converts the instance to a string.
compute_aabb	Compute the axis-aligned bounding box of the geometry.
compute_obb	Compute the oriented bounding box of the geometry.
from_json	Construct an object of this type from a JSON file.
from_jsonstring	Construct an object of this type from a JSON string.
rotate	Rotate the geometry.
rotated	Returns a rotated copy of this geometry.
sha256	Compute a hash of the data for comparison during version control using the sha256 algorithm.
to_json	Convert an object to its native data representation and save it to a JSON file.
to_jsonstring	Convert an object to its native data representation and save it to a JSON string.
translate	Translate the geometry.
translated	Returns a translated copy of this geometry.
validate_data	Validate the data against the object's data schema.