text:
using JuMP, EAGO

                     m = Model()

                     EAGO.register_eago_operators!(m)

                     @variable(m, -1 <= x[i=1:3] <= 1)

                     @variable(m, -87.82140256746152 <= q <= 82.66761573703552)

                     add_NL_constraint(m, :(sigmoid(0.568996230261511 + -0.6444045388073083*sigmoid(0.8247395355426832 + -0.2815589970674197*sigmoid(-0.8472674884857732 + 0.12673262140718844*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22924863555513264*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.14343275408487788*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.38193743952568937*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7470214568022899*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.3907345794847368*sigmoid(-0.8374168336432568 + -0.5200290789256532*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22613086714596653*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.5211815007242757*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3005041955394576*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.6833233841804214*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.23961509129748304*sigmoid(-0.8184816952777028 + 0.16489767969630487*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.5218375475900632*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.06864645713679662*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3485834116426605*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.9488444237137803*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.657728996110658*sigmoid(0.09567841002846222 + 0.9766053202311835*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + -0.8095561798136077*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.7033837991140013*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.521625940127187*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.5267419118939665*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.8462058798889074*sigmoid(-0.9217298157598419 + -0.1303173404119562*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.9725817523240283*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.7227834995135853*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.020291466895306698*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7019902602324835*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3])))) + 0.7561672748084076*sigmoid(-0.36205575684029867 + -0.9193089390218732*sigmoid(-0.8472674884857732 + 0.12673262140718844*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22924863555513264*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.14343275408487788*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.38193743952568937*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7470214568022899*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + -0.8628898267248593*sigmoid(-0.8374168336432568 + -0.5200290789256532*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22613086714596653*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.5211815007242757*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3005041955394576*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.6833233841804214*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.7863264597553798*sigmoid(-0.8184816952777028 + 0.16489767969630487*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.5218375475900632*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.06864645713679662*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3485834116426605*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.9488444237137803*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + -0.6787727389211491*sigmoid(0.09567841002846222 + 0.9766053202311835*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + -0.8095561798136077*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.7033837991140013*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.521625940127187*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.5267419118939665*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.5835947514152351*sigmoid(-0.9217298157598419 + -0.1303173404119562*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.9725817523240283*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.7227834995135853*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.020291466895306698*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7019902602324835*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3])))) + -0.2179697474351241*sigmoid(0.022418445234321904 + -0.34474228728421163*sigmoid(-0.8472674884857732 + 0.12673262140718844*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22924863555513264*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.14343275408487788*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.38193743952568937*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7470214568022899*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + -0.7874468802412049*sigmoid(-0.8374168336432568 + -0.5200290789256532*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22613086714596653*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.5211815007242757*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 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0.03773489408284192*$(x[3]))) + -0.8484024638349421*sigmoid(0.09567841002846222 + 0.9766053202311835*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + -0.8095561798136077*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.7033837991140013*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.521625940127187*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.5267419118939665*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.686993637902853*sigmoid(-0.9217298157598419 + -0.1303173404119562*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 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0.38193743952568937*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7470214568022899*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.27369486566954304*sigmoid(-0.8374168336432568 + -0.5200290789256532*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.22613086714596653*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.5211815007242757*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3005041955394576*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.6833233841804214*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.8405927936757611*sigmoid(-0.8184816952777028 + 0.16489767969630487*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.5218375475900632*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.06864645713679662*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.3485834116426605*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.9488444237137803*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + 0.5554428522774222*sigmoid(0.09567841002846222 + 0.9766053202311835*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + -0.8095561798136077*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + -0.7033837991140013*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + 0.521625940127187*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.5267419118939665*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))) + -0.9816855534058186*sigmoid(-0.9217298157598419 + -0.1303173404119562*sigmoid(0.8408524421985439 + -0.03850956721592169*$(x[1]) + 0.8346333861274338*$(x[2]) + 0.3435557949935637*$(x[3])) + 0.9725817523240283*sigmoid(-0.5206002646111196 + -0.6929418480784393*$(x[1]) + -0.02820767391072332*$(x[2]) + -0.04938482127984356*$(x[3])) + 0.7227834995135853*sigmoid(0.8250363611878835 + 0.8304207310240672*$(x[1]) + -0.20133411435535464*$(x[2]) + -0.29584435518282115*$(x[3])) + -0.020291466895306698*sigmoid(0.6278046914235738 + -0.6443229282211105*$(x[1]) + -0.7841344946232534*$(x[2]) + -0.16775025966863577*$(x[3])) + 0.7019902602324835*sigmoid(0.7249142640471629 + 0.8062020364864311*$(x[1]) + 0.680231814161814*$(x[2]) + 0.03773489408284192*$(x[3]))))) - $q <= 0.0))

                     @objective(m, Min, q)

                     return m

max_stars_repo_name: PSORLab/RSActivationFunctions

max_issues_repo_name: PSORLab/RSActivationFunctions

max_forks_repo_name: PSORLab/RSActivationFunctions


text:
# between pdmat and pdmat

+(a::PDMat, b::AbstractPDMat) = PDMat(a.mat + full(b))
+(a::PDiagMat, b::AbstractPDMat) = PDMat(_adddiag!(full(b), a.diag))
+(a::ScalMat, b::AbstractPDMat) = PDMat(_adddiag!(full(b), a.value))
+(a::PDSparseMat, b::AbstractPDMat) = PDMat(a.mat + full(b))

+(a::PDMat, b::PDMat) = PDMat(a.mat + b.mat)
+(a::PDMat, b::PDiagMat) = PDMat(_adddiag(a.mat, b.diag))
+(a::PDMat, b::ScalMat) = PDMat(_adddiag(a.mat, b.value))
+(a::PDMat, b::PDSparseMat) = PDMat(a.mat + b.mat)

+(a::PDiagMat, b::PDMat) = PDMat(_adddiag(b.mat, a.diag))
+(a::PDiagMat, b::PDiagMat) = PDiagMat(a.diag + b.diag)
+(a::PDiagMat, b::ScalMat) = PDiagMat(a.diag .+ b.value)
+(a::PDiagMat, b::PDSparseMat) = PDSparseMat(_adddiag(b.mat, a.diag))

+(a::ScalMat, b::PDMat) = PDMat(_adddiag(b.mat, a.value))
+(a::ScalMat, b::PDiagMat) = PDiagMat(a.value .+ b.diag)
+(a::ScalMat, b::ScalMat) = ScalMat(a.dim, a.value + b.value)
+(a::ScalMat, b::PDSparseMat) = PDSparseMat(_adddiag(b.mat, a.value))

+(a::PDSparseMat, b::PDMat) = PDMat(full(a) + b.mat)
+(a::PDSparseMat, b::PDiagMat) = PDSparseMat(_adddiag(a.mat, b.diag))
+(a::PDSparseMat, b::ScalMat) = PDSparseMat(_adddiag(a.mat, b.value))
+(a::PDSparseMat, b::PDSparseMat) = PDSparseMat(a.mat + b.mat)

# between pdmat and uniformscaling (multiple of identity)

+(a::AbstractPDMat, b::UniformScaling) = a + ScalMat(dim(a), b.λ)
+(a::UniformScaling, b::AbstractPDMat) = ScalMat(dim(b), a.λ) + b

pdadd(a::PDMat, b::AbstractPDMat, c::Real) = PDMat(a.mat + full(b * c))
pdadd(a::PDiagMat, b::AbstractPDMat, c::Real) = PDMat(_adddiag!(full(b * c), a.diag, one(c)))
pdadd(a::ScalMat, b::AbstractPDMat, c::Real) = PDMat(_adddiag!(full(b * c), a.value))
pdadd(a::PDSparseMat, b::AbstractPDMat, c::Real) = PDMat(a.mat + full(b * c))

pdadd(a::PDMat, b::PDMat, c::Real) = PDMat(a.mat + b.mat * c)
pdadd(a::PDMat, b::PDiagMat, c::Real) = PDMat(_adddiag(a.mat, b.diag, c))
pdadd(a::PDMat, b::ScalMat, c::Real) = PDMat(_adddiag(a.mat, b.value * c))
pdadd(a::PDMat, b::PDSparseMat, c::Real) = PDMat(a.mat + b.mat * c)

pdadd(a::PDiagMat, b::PDMat, c::Real) = PDMat(_adddiag!(b.mat * c, a.diag, one(c)))
pdadd(a::PDiagMat, b::PDiagMat, c::Real) = PDiagMat(a.diag + b.diag * c)
pdadd(a::PDiagMat, b::ScalMat, c::Real) = PDiagMat(a.diag .+ b.value * c)
pdadd(a::PDiagMat, b::PDSparseMat, c::Real) = PDSparseMat(_adddiag!(b.mat * c, a.diag, one(c)))

pdadd(a::ScalMat, b::PDMat, c::Real) = PDMat(_adddiag!(b.mat * c, a.value))
pdadd(a::ScalMat, b::PDiagMat, c::Real) = PDiagMat(a.value .+ b.diag * c)
pdadd(a::ScalMat, b::ScalMat, c::Real) = ScalMat(a.dim, a.value + b.value * c)
pdadd(a::ScalMat, b::PDSparseMat, c::Real) = PDSparseMat(_adddiag!(b.mat * c, a.value))

pdadd(a::PDSparseMat, b::PDMat, c::Real) = PDMat(a.mat + b.mat * c)
pdadd(a::PDSparseMat, b::PDiagMat, c::Real) = PDSparseMat(_adddiag(a.mat, b.diag, c))
pdadd(a::PDSparseMat, b::ScalMat, c::Real) = PDSparseMat(_adddiag(a.mat, b.value * c))
pdadd(a::PDSparseMat, b::PDSparseMat, c::Real) = PDSparseMat(a.mat + b.mat * c)

ext: jl