General interface for transformations
Transformations are function-like objects, in the sense that they are callable. They also support the following general interface.
abstract type ContinuousTransformation <: Function
Continuous bijection $D ⊂ ℝ^n→ I ⊂ ℝ^n$ or $D ⊂ ℝ → I ⊂ ℝ$.
ContinuousTransformations.domain
— Function.domain(transformation)
Return the domain of the transformation.
ContinuousTransformations.image
— Function.image(transformation)
Return the image of the transformation.
ContinuousTransformations.logjac
— Function.logjac(t, x)
The log of the determinant of the Jacobian of t
at x
. ```
ContinuousTransformations.inverse
— Function.inverse(t, x)
Return $t⁻¹(x)$.
inverse(t)
Return the transformation $t⁻¹$.
You can create a transformation using the appropriate constructors, combine univariate-transformations, and create a transformation between two intervals.
ContinuousTransformations.bridge
— Function.bridge(dom, img, [transformation])
Return a transformation that maps dom
to img
.
The transformation
argument may be used to specify a particular transformation family, otherwise default_transformation
is used.