Vector

class compas.geometry.Vector(x, y, z=0)[source]

Bases: compas.geometry.primitives._primitive.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

data (dict) – The data representation of the vector.
x (float) – The component along the X axis of the vector.
y (float) – The component along the Y axis of the vector.
z (float) – The component along the Z axis of the vector.
length (float, read-only) – The length of the 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`(other)	Compute the smallest angle between this vector and another vector.
`angle_signed`(other, normal)	Compute the signed angle between this vector and another vector.
`angle_vectors`(left, right)	Compute the smallest angle between corresponding pairs of two lists of vectors.
`angles`(other)	Compute both angles between this vector and another vector.
`angles_vectors`(left, right)	Compute both angles between corresponding pairs of two lists of vectors.
`copy`()	Make a copy of this vector.
`cross`(other)	The cross product of this vector and another vector.
`cross_vectors`(left, right)	Compute the cross product of two lists of vectors.
`dot`(other)	The dot product of this vector and another vector.
`dot_vectors`(left, right)	Compute the dot product of two lists of vectors.
`from_data`(data)	Construct a vector from a data dict.
`from_json`(filepath)	Construct an object from serialized data contained in a JSON file.
`from_start_end`(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`(vectors)	Compute the length of multiple vectors.
`scale`(n)	Scale this vector by a factor n.
`scaled`(n)	Returns a scaled copy of this vector.
`sum_vectors`(vectors)	Compute the sum of multiple vectors.
`to_data`()	Convert an object to its native data representation.
`to_json`(filepath[, pretty])	Serialize the data representation of an object to a JSON file.
`transform`(T)	Transform this vector.
`transform_collection`(collection, X)	Transform a collection of vector objects.
`transformed`(T)	Return a transformed copy of this vector.
`transformed_collection`(collection, X)	Create a collection of transformed vectors.
`unitize`()	Scale this vector to unit length.
`unitized`()	Returns a unitized copy of this vector.
`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).

Vector

COMPAS