LinTrans | SuperCollider 3.13.0 Help

Description

Linear transformations in R^N or C^N. Wraps the functionality of Matrix to be able to easitly multiply matrixes with vectors (classes inheriting from AbstractVector). A LinTrans holds a matrix that represents the linear transformation.

Class Methods

.new

Arguments:

matrix

.rotation2D

2D rotation linear transformation for angle theta.a = LinTrans.rotation2D(pi/2); a.value(RealVector[1,0])

Instance Methods

.matrix

the matrix that represents the transformation.

*

Linear transformation and scalar multiplication.a = LinTrans(Matrix.with([[1,2],[3,4]])); b = LinTrans(Matrix.with([[3,4],[5,6]])); (a*b).value(RealVector[5,6]) a = LinTrans.rotation2D(pi/2); b = LinTrans.rotation2D(pi/2); (a*b).value(RealVector[1,0]) //rotate vector by pi

+

addition between linear transformations.a = LinTrans(Matrix.with([[1,2],[3,4]])); b = LinTrans(Matrix.with([[3,4],[5,6]])); (a+b).value(RealVector[5,6])

-

subtraciton between linear transformations.a = LinTrans(Matrix.with([[1,2],[3,4]])); b = LinTrans(Matrix.with([[3,4],[5,6]])); (a-b).value(RealVector[5,6])

.det

determinant of the transformation.LinTrans(Matrix.with([[1,2],[2,3]])).det

.inverse

inverse transformation.a = LinTrans(Matrix.with([[1,2],[2,3]])); b = a.inverse; (a*b).value(RealVector[1,2]) //a*b is identity

helpfile source: HelpSource/Classes/LinTrans.schelp
link::VectorSpace/Classes/LinTrans::

LinTransExtension