Mixed mode Jacobians with bicoloring

[gdalle]

[!WARNING] This is still experimental and depends on an unreleased branch of SparseMatrixColorings.jl. Don't merge yet.

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 94.18605% with 5 lines in your changes missing coverage. Please review.

Project coverage is 98.29%. Comparing base (efb5acf) to head (42b7ff6). Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
DifferentiationInterface/src/utils/batchsize.jl	50.00%	2 Missing :warning:
DifferentiationInterface/src/utils/check.jl	0.00%	2 Missing :warning:
DifferentiationInterface/src/utils/traits.jl	75.00%	1 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #554      +/-   ##
==========================================
- Coverage   98.39%   98.29%   -0.11%     
==========================================
  Files         107      109       +2     
  Lines        4739     4813      +74     
==========================================
+ Hits         4663     4731      +68     
- Misses         76       82       +6     

Flag	Coverage Δ
DI	98.47% <94.04%> (-0.16%)	:arrow_down:
DIT	97.90% <100.00%> (+<0.01%)	:arrow_up:

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[codecov[bot]]

Codecov Report

Attention: Patch coverage is 94.62366% with 5 lines in your changes missing coverage. Please review.

Project coverage is 97.71%. Comparing base (3094dca) to head (d4f85f9). Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
...erentiationInterfaceTest/src/scenarios/scenario.jl	37.50%	5 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #554      +/-   ##
==========================================
- Coverage   97.77%   97.71%   -0.06%     
==========================================
  Files         110      112       +2     
  Lines        5439     5522      +83     
==========================================
+ Hits         5318     5396      +78     
- Misses        121      126       +5     

Flag	Coverage Δ
DI	98.95% <100.00%> (+0.02%)	:arrow_up:
DIT	95.35% <37.50%> (-0.25%)	:arrow_down:

Flags with carried forward coverage won't be shown. Click here to find out more.

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