Shear

class compas.geometry.Shear(matrix=None, check=True)[source]

Bases: Transformation

Class representing a shear transformation.

A point P is transformed by the shear matrix into P” such that the vector P-P” is parallel to the direction vector and its extent is given by the angle of P-P’-P”, where P’ is the orthogonal projection of P onto the shear plane.

Parameters

matrix (list[list[float]], optional) – A 4x4 matrix (or similar) representing a shear transformation.

Raises

ValueError – If the default constructor is used, and the provided transformation matrix is not a shear matrix.

Examples

>>>

Methods

from_angle_direction_plane	Construct a shear transformation from an angle, direction and plane.
from_entries	Construct a shear transformation from the 3 factors for x-y, x-z, and y-z axes.

Inherited Methods

concatenate	Concatenate another transformation to this transformation.
concatenated	Concatenate two transformations into one Transformation.
copy	Returns a copy of the transformation.
decomposed	Decompose the Transformation into its components.
from_change_of_basis	Construct a change of basis transformation between two frames.
from_data	Construct an object of this type from the provided data.
from_euler_angles	Construct a transformation from a rotation represented by Euler angles.
from_frame	Construct a transformation from world XY to frame.
from_frame_to_frame	Construct a transformation between two frames.
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.
from_list	Creates a transformation from a list of 16 numbers.
from_matrix	Creates a transformation from a list[list[float]] object.
inverse	Returns the inverse transformation.
invert	Invert this transformation.
inverted	Returns the inverse transformation.
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.
transpose	Transpose the matrix of this transformation.
transposed	Create a transposed copy of this transformation.
validate_data	Validate the object's data against its data schema.
validate_json	Validate the object's data against its json schema.