Ising with SumOfSquares

[blegat]

Ising model working.

• piracy.jl contains some hacks that should be backported upstream to the relevant packages.
• It requires ComplexOptInterface#master
• It requires local changes on SumOfSquares

Progressively making the required changes upstream

• Implement variables and operation with term and poly #15
• Fix Gram Matrix for other types than Float64 jump-dev/SumOfSquares.jl#173
• Sums of Hermitian squares jump-dev/SumOfSquares.jl#174
• Implement mutable_operate with add_mul and SingleVariable jump-dev/MathOptInterface.jl#1174
• Support for complex operations: real, imag and conj jump-dev/MathOptInterface.jl#1177
• Fix wrong coefficient type with bridges jump-dev/MathOptInterface.jl#1179
• Add conversions in variable substitution jump-dev/MathOptInterface.jl#1181
• Implement conversion between ScalarAffineFunction of different coeffi… jump-dev/MathOptInterface.jl#1182
• Add support for hermitian matrix JuliaAlgebra/MultivariateMoments.jl#17
• Indexing fies for Hermitian matrix JuliaAlgebra/MultivariateMoments.jl#18
• Add SplitZeroBridge jump-dev/ComplexOptInterface.jl#1
• Remove trivial constraints form split_zero and fix index mapping of psd jump-dev/ComplexOptInterface.jl#3
• Update with upstream changes in MOI jump-dev/ComplexOptInterface.jl#2
• Fix - with rhs with new monomials #17

[codecov]

Codecov Report

Merging #14 (c488c14) into master (8da6d23) will decrease coverage by 1.47%.
The diff coverage is 15.00%.

@@            Coverage Diff             @@
##           master      #14      +/-   ##
==========================================
- Coverage   74.43%   72.96%   -1.48%     
==========================================
  Files           5        6       +1     
  Lines         266      307      +41     
==========================================
+ Hits          198      224      +26     
- Misses         68       83      +15     

Impacted Files	Coverage Δ
src/CondensedMatterSOS.jl	86.66% <ø> (+2.05%)	⬆️
src/sos.jl	0.00% <0.00%> (ø)
src/monom-set.jl	80.76% <100.00%> (+3.49%)	⬆️
src/operators.jl	90.80% <0.00%> (+0.68%)	⬆️
src/sequences.jl	47.43% <0.00%> (+0.68%)	⬆️
src/types.jl	88.09% <0.00%> (+4.53%)	⬆️

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