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eltype of -Symmetric(Q) #32374

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jump-dev/JuMP.jl
#1993
@blegat

Description

@blegat

The eltype if -Q where Q is a matrix is expected not to change which is incorrect when the eltype is Bool or VariableRef:

julia> B = ones(Bool, 1, 1)
1×1 Array{Bool,2}:
 true

julia> -Symmetric(B)
ERROR: InexactError: Bool(-1)
Stacktrace:
 [1] Type at ./float.jl:73 [inlined]
 [2] convert at ./number.jl:7 [inlined]
 [3] setindex! at ./array.jl:767 [inlined]
 [4] copyto!(::IndexLinear, ::Array{Bool,2}, ::IndexLinear, ::Array{Int64,2}) at ./abstractarray.jl:753
 [5] copyto! at ./abstractarray.jl:745 [inlined]
 [6] Type at ./array.jl:482 [inlined]
 [7] convert at ./array.jl:474 [inlined]
 [8] Type at /build/julia/src/julia-1.1.1/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/symmetric.jl:10 [inlined]
 [9] -(::Symmetric{Bool,Array{Bool,2}}) at /build/julia/src/julia-1.1.1/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/symmetric.jl:394
 [10] top-level scope at none:0

julia> model = Model()
A JuMP Model
Feasibility problem with:
Variables: 0
Model mode: AUTOMATIC
CachingOptimizer state: NO_OPTIMIZER
Solver name: No optimizer attached.

julia> @variable(model, Q[1:2, 1:2], Symmetric)
2×2 Symmetric{VariableRef,Array{VariableRef,2}}:
 Q[1,1]  Q[1,2]
 Q[1,2]  Q[2,2]

julia> -Q
ERROR: MethodError: Cannot `convert` an object of type GenericAffExpr{Float64,VariableRef} to an object of type VariableRef
Closest candidates are:
  convert(::Type{T}, ::T) where T at essentials.jl:154
  VariableRef(::Any, ::Any) at /home/blegat/.julia/dev/JuMP/src/variables.jl:99
Stacktrace:
 [1] setindex!(::Array{VariableRef,2}, ::GenericAffExpr{Float64,VariableRef}, ::Int64) at ./array.jl:767
 [2] copyto! at ./abstractarray.jl:753 [inlined]
 [3] copyto! at ./abstractarray.jl:745 [inlined]
 [4] Array{VariableRef,2}(::Array{GenericAffExpr{Float64,VariableRef},2}) at ./array.jl:482
 [5] convert at ./array.jl:474 [inlined]
 [6] Type at /build/julia/src/julia-1.1.1/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/symmetric.jl:10 [inlined]
 [7] -(::Symmetric{VariableRef,Array{VariableRef,2}}) at /build/julia/src/julia-1.1.1/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/symmetric.jl:394
 [8] top-level scope at none:0

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