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avoid transposing Us for every constraint
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@ -91,7 +91,7 @@ function transform(U::AbstractArray, V::AbstractArray; sparse=true)
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end
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end
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end
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end
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A(data::OrbitData, π, t) = data.dims[π]*transform(data.Us[π], data.cnstr[t])
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A(data::OrbitData, π, t) = data.dims[π].*transform(data.Us[π], data.cnstr[t])
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function constrLHS(m::JuMP.Model, data::OrbitData, t)
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function constrLHS(m::JuMP.Model, data::OrbitData, t)
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l = endof(data.Us)
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l = endof(data.Us)
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@ -99,13 +99,18 @@ function constrLHS(m::JuMP.Model, data::OrbitData, t)
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return lhs
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return lhs
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end
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end
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function constrLHS(m::JuMP.Model, cnstr, Us, Ust, dims, vars)
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lhs = @expression(m,
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sum(vecdot(dims[π].*Ust[π]*cnstr*Us[π], vars[π]) for π in 1:endof(Us)))
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return lhs
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end
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function addconstraints!(m::JuMP.Model, data::OrbitData, l::Int=length(data.laplacian); var::Symbol = :λ)
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function addconstraints!(m::JuMP.Model, data::OrbitData, l::Int=length(data.laplacian); var::Symbol = :λ)
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λ = m[var]
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λ = m[var]
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# orbits = load(joinpath(data.name, "orbits.jld"), "orbits");
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Ust = [U' for U in data.Us]
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# locate(t, orb=orbits) = findfirst(x->t in x, orb)
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for t in 1:l
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for t in 1:l
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# lhs = constrLHS(m, data, locate(t))
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# lhs = constrLHS(m, data, t)
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lhs = constrLHS(m, data, t)
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lhs = constrLHS(m, data.cnstr[t], data.Us, Ust, data.dims, data.Ps)
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d, d² = data.laplacian[t], data.laplacianSq[t]
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d, d² = data.laplacian[t], data.laplacianSq[t]
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if lhs == zero(lhs)
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if lhs == zero(lhs)
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