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 <: FunctionContinuous 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.