Add CAD-based sample points#132
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Run julia-actions/julia-docdeploy@latest:
../../../.julia/packages/Documenter/bFHi4/src/DocTests.jl#L373
doctest failure in ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/cuyt_lee.jl:229-240
```jldoctest
julia> using AlgebraicSolving
julia> using AlgebraicSolving.Interpolation
julia> R, _ = polynomial_ring(QQ, ["a", "b"]);
julia> f = t -> (t[1] + t[2])^2 / (t[1] - t[2])^2;
julia> cuyt_lee(R, f)
(a^2 + 2*a*b + b^2)//(a^2 - 2*a*b + b^2)
```
Subexpression:
cuyt_lee(R, f)
Evaluated output:
ERROR: TaskFailedException
nested task error: DivideError: integer division error
Stacktrace:
[1] divexact(a::QQFieldElem, b::QQFieldElem; check::Bool)
@ Nemo ~/.julia/packages/Nemo/XmujP/src/flint/fmpq.jl:553
[2] divexact
@ ~/.julia/packages/Nemo/XmujP/src/flint/fmpq.jl:552 [inlined]
[3] //
@ ~/.julia/packages/Nemo/XmujP/src/flint/fmpq.jl:593 [inlined]
[4] evaluate(f::AbstractAlgebra.Generic.FracFieldElem{Nemo.QQPolyRingElem}, v::QQFieldElem)
@ AbstractAlgebra ~/.julia/packages/AbstractAlgebra/a2EqM/src/Fraction.jl:613
[5] thiele(R::Nemo.QQPolyRing, bb::AlgebraicSolving.Interpolation.var"#35#36"{Vector{ZZRingElem}, AlgebraicSolving.Interpolation.var"#49#50"{var"#2#3", Vector{Int64}}}; retry::Int64, show_progress::Bool, desc::String, offset::Int64)
@ AlgebraicSolving.Interpolation ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/thiele.jl:136
[6] thiele
@ ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/thiele.jl:36 [inlined]
[7] (::AlgebraicSolving.Interpolation.var"#populate#33"{AlgebraicSolving.Interpolation.var"#populate#27#34"{Int64, Bool, AlgebraicSolving.Interpolation.var"#49#50"{var"#2#3", Vector{Int64}}, AlgebraicSolving.Progress.ProgressBar, ReentrantLock, Vector{Int64}, Int64, Int64, Nemo.QQPolyRing, Int64}})(cur::Vector{ZZRingElem}, dim::Int64; num_threads::Int64, offset::Int64)
@ AlgebraicSolving.Interpolation ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/cuyt_lee.jl:119
[8] macro expansion
@ ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/cuyt_lee.jl:148 [inlined]
[9] (::AlgebraicSolving.Interpolation.var"#39#40"{AlgebraicSolving.Interpolation.var"#41#42"{Int64, Vector{ZZRingElem}, Int64, AlgebraicSolving.Interpolation.Atomic{Int64}, AlgebraicSolving.Interpolation.Atomic{Int64}, UnitRange{Int64}}})(tid::Int64; onethread::Bool)
@ AlgebraicSolving.Interpolation ./threadingconstructs.jl:279
[10] #39
@ ./threadingconstructs.jl:246 [inlined]
[11] (::Base.Threads.var"#threading_run##0#threading_run##1"{AlgebraicSolving.Interpolation.var"#39#40"{AlgebraicSolving.Interpolation.var"#41#42"{Int64, Vector{ZZRingElem}, Int64, AlgebraicSolving.Interpolation.Atomic{Int64}, AlgebraicSolving.Interpolation.Atomic{Int64}, UnitRange{Int64}}}, Int64})()
@ Base.Threads ./threadingconstructs.jl:178
Stacktrace:
[1] threading_run(fun::AlgebraicSolving.Interpolation.var"#39#40"{AlgebraicSolving.Interpolation.var"#41#42"{Int64, Vector{ZZRingElem}, Int64, AlgebraicSolving.Interpolation.Atomic{Int64}, AlgebraicSolving.Interpolation.Atomic{Int64}, UnitRange{Int64}}}, static::Bool)
@ Base.Threads ./threadingconstructs.jl:199
[2] macro expansion
@ ./threadingconstructs.jl:216 [inlined]
[3] (::AlgebraicSolving.Interpolation.var"#populate#33"{AlgebraicSolving.Interpolation.var"#populate#27#34"{Int64, Bool, AlgebraicSolving.Interpolation.var"#49#50"{var"#2#3", Vector{Int64}}, AlgebraicSolving.Progress.ProgressBar, ReentrantLock, Vector{Int64}, Int64, Int64, Nemo.QQPolyRing, Int64}})(cur::Vector{ZZRingElem}, dim::Int64; num_threads::Int64, offset::Int64)
@ AlgebraicSolving.Interpolation ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/cuyt_lee.jl:147
[4] cuyt_lee_shifted(R::Nemo.QQMPolyRing, bb::AlgebraicSolving.Interpolation.var"#49#50"{var"#2#3", Vector{Int64}}; retry::Int64, nr_thrds::Int64, show_progress::Bool, desc::String)
@ AlgebraicSolving.Interpolation ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/interp/cuyt_lee.jl:162
[5] cuyt_lee_shifted
@ ~/work/AlgebraicSolving.jl/AlgebraicSolving.jl/src/i
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