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| 1 | +mutable struct QPData |
| 2 | + c0::Float64 # constant term in objective |
| 3 | + c::AbstractVector{Float64} # linear term |
| 4 | + H::AbstractMatrix{Float64} # quadratic term |
| 5 | + opH::AbstractLinearOperator # assumed with preallocation! |
| 6 | + A::AbstractMatrix{Float64} # constraint matrix |
| 7 | +end |
| 8 | + |
| 9 | +mutable struct QPCounters |
| 10 | + neval_hprod::Int # number of products with H |
| 11 | + neval_jprod::Int # number of products with A |
| 12 | + neval_jtprod::Int # number of products with A' |
| 13 | + QPCounters() = new(0, 0, 0) |
| 14 | +end |
| 15 | + |
| 16 | +abstract type AbstractQuadraticModel <: AbstractNLPModel end |
| 17 | + |
| 18 | +mutable struct QuadraticModel <: AbstractQuadraticModel |
| 19 | + meta::NLPModelMeta |
| 20 | + counters::QPCounters |
| 21 | + data::QPData |
| 22 | + |
| 23 | + function QuadraticModel(c::AbstractVector{Float64}, H::AbstractMatrix{Float64}, |
| 24 | + opH::AbstractLinearOperator, |
| 25 | + A::AbstractMatrix{Float64}, |
| 26 | + lcon::AbstractVector{Float64}, ucon::AbstractVector{Float64}, |
| 27 | + lvar::AbstractVector{Float64}, uvar::AbstractVector{Float64}; |
| 28 | + c0::Float64=0.0, kwargs...) |
| 29 | + ncon, nvar = size(A) |
| 30 | + nnzh = issparse(H) ? nnz(H) : (nvar * (nvar + 1) / 2) |
| 31 | + nnzj = issparse(A) ? nnz(A) : (nvar * ncon) |
| 32 | + new(NLPModelMeta(nvar, |
| 33 | + lvar=lvar, uvar=uvar, |
| 34 | + ncon=size(A,1), lcon=lcon, ucon=ucon, |
| 35 | + nnzj=nnzj, |
| 36 | + nnzh=nnzh, |
| 37 | + lin=1:ncon, nln=Int[], islp=(ncon == 0); kwargs...), |
| 38 | + QPCounters(), |
| 39 | + QPData(c0, c, H, opH, A)) |
| 40 | + end |
| 41 | +end |
| 42 | + |
| 43 | +function QuadraticModel(model::AbstractNLPModel) |
| 44 | + nvar = model.meta.nvar |
| 45 | + ncon = model.meta.ncon |
| 46 | + z = zeros(nvar) |
| 47 | + c = grad(model, z) |
| 48 | + H = hess(model, model.meta.x0) |
| 49 | + A = jac(model, z) |
| 50 | + QuadraticModel(c, H, opHermitian(H), A, |
| 51 | + model.meta.lcon, model.meta.ucon, |
| 52 | + model.meta.lvar, model.meta.uvar) |
| 53 | +end |
| 54 | + |
| 55 | +linobj(qp::AbstractQuadraticModel, args...) = qp.data.c |
| 56 | + |
| 57 | +function objgrad(qp::AbstractQuadraticModel, x::AbstractVector) |
| 58 | + g = Vector{eltype(x)}(length(x)) |
| 59 | + objgrad!(qp, x, g) |
| 60 | +end |
| 61 | + |
| 62 | +function objgrad!(qp::AbstractQuadraticModel, x::AbstractVector, g::AbstractVector) |
| 63 | + v = qp.data.opH * x |
| 64 | + @. g = qp.data.c + v |
| 65 | + f = qp.data.c0 + dot(qp.data.c, x) + 0.5 * dot(v, x) |
| 66 | + qp.counters.neval_hprod += 1 |
| 67 | + (f, g) |
| 68 | +end |
| 69 | + |
| 70 | +function obj(qp::AbstractQuadraticModel, x::AbstractVector) |
| 71 | + v = qp.data.opH * x |
| 72 | + f = qp.data.c0 + dot(qp.data.c, x) + 0.5 * dot(v, x) |
| 73 | + qp.counters.neval_hprod += 1 |
| 74 | + f |
| 75 | +end |
| 76 | + |
| 77 | +function grad(qp::AbstractQuadraticModel, x::AbstractVector) |
| 78 | + g = Vector{eltype(x)}(undef, qp.meta.nvar) |
| 79 | + grad!(qp, x, g) |
| 80 | +end |
| 81 | + |
| 82 | +function grad!(qp::AbstractQuadraticModel, x::AbstractVector, g::AbstractVector) |
| 83 | + v = qp.data.opH * x |
| 84 | + @. g = qp.data.c + v |
| 85 | + qp.counters.neval_hprod += 1 |
| 86 | + g |
| 87 | +end |
| 88 | + |
| 89 | +hess_coord(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = findnz(qp.data.H) |
| 90 | + |
| 91 | +hess(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = qp.data.H |
| 92 | + |
| 93 | +hess_op(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = qp.data.opH |
| 94 | + |
| 95 | +function cons(qp::AbstractQuadraticModel, x::AbstractVector) |
| 96 | + c = Vector{eltype(x)}(undef, qp.meta.ncon) |
| 97 | + cons!(qp, x, c) |
| 98 | +end |
| 99 | + |
| 100 | +function cons!(qp::AbstractQuadraticModel, x::AbstractVector, c::AbstractVector) |
| 101 | + mul!(c, qp.data.A, x) |
| 102 | + qp.counters.neval_jprod += 1 |
| 103 | + c |
| 104 | +end |
| 105 | + |
| 106 | +jac_coord(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = findnz(qp.data.A) |
| 107 | + |
| 108 | +jac(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = qp.data.A |
| 109 | + |
| 110 | +jac_op(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) = LinearOperator(qp.data.A) |
| 111 | + |
| 112 | +function hprod(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) |
| 113 | + @closure v -> begin |
| 114 | + qp.counters.neval_hprod += 1 |
| 115 | + qp.data.opH * v |
| 116 | + end |
| 117 | +end |
| 118 | + |
| 119 | +function jprod(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) |
| 120 | + @closure v -> begin |
| 121 | + qp.counters.neval_jprod += 1 |
| 122 | + qp.data.A * v |
| 123 | + end |
| 124 | +end |
| 125 | + |
| 126 | +function jtprod(qp::AbstractQuadraticModel, ::AbstractVector; kwargs...) |
| 127 | + @closure v -> begin |
| 128 | + qp.counters.neval_jtprod += 1 |
| 129 | + qp.data.A' * v |
| 130 | + end |
| 131 | +end |
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