Use WeightedSOSCone by default

[blegat]

This requires

• Non monomial basis JuliaAlgebra/StarAlgebras.jl#21
• Fix similar for Tuple JuliaAlgebra/StarAlgebras.jl#51
• Implement promote_operation JuliaAlgebra/StarAlgebras.jl#52
• Implement broadcasting for SparseCoefficients JuliaAlgebra/StarAlgebras.jl#53
• More arithmetic JuliaAlgebra/MultivariateBases.jl#35
• Fix dispatch for coeff JuliaAlgebra/MultivariateBases.jl#39
• More substitution JuliaAlgebra/MultivariateBases.jl#40
• Fix promotion for JuMP scalar functions JuliaAlgebra/MultivariateBases.jl#42
• Return AlgebraElement from Poly PolyJuMP.jl#128
• Add support for constraint with AlgebraElement PolyJuMP.jl#129
• Fix non_constant_coefficients for AlgebraElement PolyJuMP.jl#130

[codecov]

Codecov Report

Attention: Patch coverage is 85.47009% with 68 lines in your changes missing coverage. Please review.

Project coverage is 80.06%. Comparing base (c4f7e9a) to head (66e8e51).
Report is 12 commits behind head on master.

Files	Patch %	Lines
src/Certificate/newton_polytope.jl	90.28%	17 Missing ⚠️
src/constraints.jl	75.00%	8 Missing ⚠️
src/Bridges/Constraint/sos_polynomial.jl	84.09%	7 Missing ⚠️
src/Certificate/Symmetry/wedderburn.jl	0.00%	6 Missing ⚠️
.../Constraint/sos_polynomial_in_semialgebraic_set.jl	68.75%	5 Missing ⚠️
src/Certificate/ideal.jl	91.83%	4 Missing ⚠️
src/attributes.jl	60.00%	4 Missing ⚠️
src/Bridges/Bridges.jl	40.00%	3 Missing ⚠️
src/Certificate/Certificate.jl	82.35%	3 Missing ⚠️
src/sosdec.jl	89.65%	3 Missing ⚠️
... and 5 more

❗ There is a different number of reports uploaded between BASE (c4f7e9a) and HEAD (66e8e51). Click for more details.

HEAD has 1 upload less than BASE

Flag	BASE (c4f7e9a)	HEAD (66e8e51)
	2	1

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #355      +/-   ##
==========================================
- Coverage   85.10%   80.06%   -5.04%     
==========================================
  Files          41       38       -3     
  Lines        2222     2162      -60     
==========================================
- Hits         1891     1731     -160     
- Misses        331      431     +100     

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[kalmarek]

Holy crap! all those fixes will make SOS great again! 🎉