Remove DiffEqCallbacks from src

The only place where DiffEqCallbacks was used is to use SavedValues, but
SavedValues is only used in NonInterplatingSavingCallback. Here, I
copied over the definition of SavedValues from DiffEqCallbacks and
removed the direct dependency.

There is still some dependency in the tests, but that can be removed too
if a small amount of work.

.dev/Manifest.toml

@@ -1,6 +1,6 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.10.3"
+julia_version = "1.10.4"
 manifest_format = "2.0"
 project_hash = "b280bcf3b481823c97fa1a62c1b5e65114b8fa18"
 
@@ -79,9 +79,9 @@ version = "0.21.4"
 
 [[deps.JuliaFormatter]]
 deps = ["CSTParser", "CommonMark", "DataStructures", "Glob", "Pkg", "PrecompileTools", "Tokenize"]
-git-tree-sha1 = "1c4880cb70a5c6c87ea36deccc3d7f9e7969c18c"
+git-tree-sha1 = "4b0b04fe63e02eed776181e14ebc1f48d787ceec"
 uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
-version = "1.0.56"
+version = "1.0.59"
 
 [[deps.LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]

Project.toml

@@ -8,7 +8,6 @@ ClimaComms = "3a4d1b5c-c61d-41fd-a00a-5873ba7a1b0d"
 Colors = "5ae59095-9a9b-59fe-a467-6f913c188581"
 DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
 DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
-DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def"
 KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
 Krylov = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
@@ -34,7 +33,6 @@ CUDA = "3, 4, 5"
 Colors = "0.12"
 DataStructures = "0.18"
 DiffEqBase = "6"
-DiffEqCallbacks = "2, 3"
 KernelAbstractions = "0.7, 0.8, 0.9"
 Krylov = "0.8, 0.9"
 LinearAlgebra = "1"
@@ -45,4 +43,4 @@ NVTX = "0.3"
 SciMLBase = "1, 2"
 StaticArrays = "1"
 StatsBase = "0.33, 0.34"
-julia = "1.8"
+julia = "1.9"