Support ifelse

[adrhill]

Quick prototype to discuss #90.

Tests pass on 1.10, I'll fix 1.6 in case this is useful.

Major changes:

• Dual is now a Real, not an AbstractTracer
• Add support for ifelse on AbstractTracer
• Split overloading functions

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 75.51020% with 24 lines in your changes are missing coverage. Please review.

Project coverage is 80.58%. Comparing base (1f85b58) to head (cc0433a).
Report is 1 commits behind head on main.

Files	Patch %	Lines
src/conversion.jl	36.00%	16 Missing ⚠️
src/overload_ifelse.jl	63.63%	8 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #94      +/-   ##
==========================================
+ Coverage   79.63%   80.58%   +0.94%     
==========================================
  Files          17       18       +1     
  Lines         712      757      +45     
==========================================
+ Hits          567      610      +43     
- Misses        145      147       +2     

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[gdalle]

The test failures you're seeing here are an example of comparison method ambiguities #95 (comment)

[adrhill]

Very odd and generic error on 1.6. Can ifelse not be overloaded here?

ERROR: LoadError: LoadError: cannot add methods to a builtin function
Stacktrace:
  [1] top-level scope
    @ ~/work/SparseConnectivityTracer.jl/SparseConnectivityTracer.jl/src/overload_ifelse.jl:3
  [2] include(mod::Module, _path::String)
    @ Base ./Base.jl:384
  [3] include(x::String)
    @ SparseConnectivityTracer ~/work/SparseConnectivityTracer.jl/SparseConnectivityTracer.jl/src/SparseConnectivityTracer.jl:1
  [4] top-level scope
    @ ~/work/SparseConnectivityTracer.jl/SparseConnectivityTracer.jl/src/SparseConnectivityTracer.jl:27

L3 is:

function Base.ifelse(::T, x, y) where {T<:SimpleTracer}
    size(x) != size(y) &&
        throw(DimensionMismatch("Outputs sizes of `ifelse` arguments don't match in size."))
    return output_union(x, y)
end

[gdalle]

No clue, never encountered this