Add relstep and absstep parameters (#693)

* add relstep and absstep

* format with bluestyle

* add step to all prep and prep-less

* import default relstep func

* fix fdtype bug

* add missing comma

* reformat

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/twoarg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

* make prep a named argument

* format

* remove unnecesary argument names

* Update DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/onearg.jl

* fix fdtype

* format

* fix hessian step

* forgot to format again...

* Finishing touch

---------

Co-authored-by: Guillaume Dalle <22795598+gdalle@users.noreply.github.com>

Author: 1-Bart-1

DifferentiationInterface/Project.toml

@@ -48,7 +48,7 @@ DifferentiationInterfaceTrackerExt = "Tracker"
 DifferentiationInterfaceZygoteExt = ["Zygote", "ForwardDiff"]
 
 [compat]
-ADTypes = "1.9.0"
+ADTypes = "1.12.1"
 ChainRulesCore = "1.23.0"
 DiffResults = "1.1.0"
 Diffractor = "=0.2.6"

DifferentiationInterface/ext/DifferentiationInterfaceFiniteDiffExt/DifferentiationInterfaceFiniteDiffExt.jl

@@ -13,7 +13,8 @@ using FiniteDiff:
     finite_difference_hessian,
     finite_difference_hessian!,
     finite_difference_jacobian,
-    finite_difference_jacobian!
+    finite_difference_jacobian!,
+    default_relstep
 using LinearAlgebra: dot, mul!
 
 DI.check_available(::AutoFiniteDiff) = true