# Shear

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

Create 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 (4x4 matrix-like, 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

 concatenate(other) Concatenate another transformation to this transformation. concatenated(other) Concatenate two transformations into one Transformation. Returns a copy of the transformation. Decompose the Transformation into its Scale, Shear, Rotation, Translation and Projection components. from_angle_direction_plane(angle, direction, ...) Parameters angle (float) -- The angle in radians. from_change_of_basis(frame_from, frame_to) Computes a change of basis transformation between two frames. from_data(data) Creates a Transformation from a data dict. from_entries(shear_entries) Creates a Shear from the 3 factors for x-y, x-z, and y-z axes. from_euler_angles(euler_angles[, static, ...]) Construct a transformation from a rotation represented by Euler angles. from_frame(frame) Computes a transformation from world XY to frame. from_frame_to_frame(frame_from, frame_to) Computes a transformation between two frames. from_json(filepath) Construct an object from serialized data contained in a JSON file. from_jsonstring(string) Construct an object from serialized data contained in a JSON string. from_list(numbers) Creates a Transformation from a list of 16 numbers. from_matrix(matrix) Creates a Transformation from a 4x4 matrix-like object. Returns the inverse transformation. Invert this transformation. Returns the inverse transformation. Convert a Transformation object to a data dict. to_json(filepath[, pretty]) Serialize the data representation of an object to a JSON file. to_jsonstring([pretty]) Serialize the data representation of an object to a JSON string. Transpose the matrix of this transformation. Create a transposed copy of this transformation. Validate the object's data against its data schema (self.DATASCHEMA). Validate the object's data against its json schema (self.JSONSCHEMA).