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| 1 | +const BinaryDomain = Union{MOI.ZeroOne,Spin} |
| 2 | + |
| 3 | +@doc raw""" |
| 4 | + QUBOModel{T,C} |
| 5 | +
|
| 6 | +This is a MathOptInterface model for QUBO problems. |
| 7 | +""" |
| 8 | +mutable struct QUBOModel{T,C<:BinaryDomain} <: MOI.ModelLike |
| 9 | + objective_function::SQF{T} |
| 10 | + objective_sense::MOI.OptimizationSense |
| 11 | + variables::Vector{VI} |
| 12 | + |
| 13 | + function QUBOModel{T,C}() where {T,C<:BinaryDomain} |
| 14 | + return new{T,C}(SQF{T}(SQT{T}[], SAT{T}[], zero(T)), MOI.MIN_SENSE, VI[]) |
| 15 | + end |
| 16 | +end |
| 17 | + |
| 18 | +function QUBOModel{T}() where {T} |
| 19 | + return QUBOModel{T,MOI.ZeroOne}() |
| 20 | +end |
| 21 | + |
| 22 | +function QUBOModel() |
| 23 | + return QUBOModel{Float64,MOI.ZeroOne}() |
| 24 | +end |
| 25 | + |
| 26 | +# MOI Wrapper |
| 27 | +function MOI.get(model::QUBOModel, ::MOI.NumberOfVariables) |
| 28 | + return length(model.variables) |
| 29 | +end |
| 30 | + |
| 31 | +function MOI.add_variable(model::QUBOModel{T,C}) where {T,C<:BinaryDomain} |
| 32 | + vi = VI(MOI.get(model, MOI.NumberOfVariables()) + 1) |
| 33 | + |
| 34 | + push!(model.variables, vi) |
| 35 | + |
| 36 | + return vi |
| 37 | +end |
| 38 | + |
| 39 | +function MOI.add_constraint(::QUBOModel{T,C}, vi::VI, ::C) where {T,C<:BinaryDomain} |
| 40 | + return CI{VI,C}(vi.value) |
| 41 | +end |
| 42 | + |
| 43 | +function MOI.is_empty(model::QUBOModel) |
| 44 | + return isempty(model.variables) && |
| 45 | + isempty(model.objective_function.quadratic_terms) && |
| 46 | + isempty(model.objective_function.affine_terms) && |
| 47 | + iszero(model.objective_function.constant) |
| 48 | +end |
| 49 | + |
| 50 | +function MOI.empty!(model::QUBOModel{T}) where {T} |
| 51 | + model.objective_function = SQF{T}(SQT{T}[], SAT{T}[], zero(T)) |
| 52 | + model.objective_sense = MOI.MIN_SENSE |
| 53 | + |
| 54 | + empty!(model.variables) |
| 55 | + |
| 56 | + return nothing |
| 57 | +end |
| 58 | + |
| 59 | +# Support |
| 60 | +MOI.supports( |
| 61 | + ::QUBOModel{T}, |
| 62 | + ::MOI.ObjectiveFunction{F}, |
| 63 | +) where {T,F<:Union{VI,SAF{T},SQF{T}}} = true |
| 64 | + |
| 65 | +MOI.supports_constraint(::QUBOModel{T,C}, ::Type{VI}, ::Type{C}) where {T,C<:BinaryDomain} = true |
| 66 | +MOI.supports_add_constrained_variable(::QUBOModel{T,C}, ::Type{C}) where {T,C<:BinaryDomain} = true |
| 67 | + |
| 68 | +# get & set |
| 69 | +function MOI.get(model::QUBOModel, ::MOI.ObjectiveSense) |
| 70 | + return model.objective_sense |
| 71 | +end |
| 72 | + |
| 73 | +function MOI.set( |
| 74 | + model::QUBOModel, |
| 75 | + ::MOI.ObjectiveSense, |
| 76 | + objective_sense::MOI.OptimizationSense, |
| 77 | +) |
| 78 | + model.objective_sense = objective_sense |
| 79 | + |
| 80 | + return nothing |
| 81 | +end |
| 82 | + |
| 83 | +function MOI.get(model::QUBOModel{T}, ::MOI.ObjectiveFunction{SQF{T}}) where {T} |
| 84 | + return model.objective_function |
| 85 | +end |
| 86 | + |
| 87 | +function MOI.set(model::QUBOModel{T}, ::MOI.ObjectiveFunction{VI}, vi::VI) where {T} |
| 88 | + model.objective_function = SQF{T}(SQT{T}[], SAT{T}[SAT{T}(one(T), vi)], zero(T)) |
| 89 | + |
| 90 | + return nothing |
| 91 | +end |
| 92 | + |
| 93 | +function MOI.set(model::QUBOModel{T}, ::MOI.ObjectiveFunction{SAF{T}}, f::SAF{T}) where {T} |
| 94 | + model.objective_function = SQF{T}(SQT{T}[], copy(f.terms), f.constant) |
| 95 | + |
| 96 | + return nothing |
| 97 | +end |
| 98 | + |
| 99 | +function MOI.set(model::QUBOModel{T}, ::MOI.ObjectiveFunction{SQF{T}}, f::SQF{T}) where {T} |
| 100 | + model.objective_function = SQF{T}( # |
| 101 | + copy(f.quadratic_terms), |
| 102 | + copy(f.affine_terms), |
| 103 | + f.constant, |
| 104 | + ) |
| 105 | + |
| 106 | + return nothing |
| 107 | +end |
| 108 | + |
| 109 | +MOI.get(::QUBOModel{T}, ::MOI.ObjectiveFunctionType) where {T} = SQF{T} |
| 110 | + |
| 111 | +function MOI.get( |
| 112 | + model::QUBOModel{T,C}, |
| 113 | + ::MOI.ListOfConstraintTypesPresent, |
| 114 | +) where {T,C<:BinaryDomain} |
| 115 | + if MOI.is_empty(model) |
| 116 | + return [] |
| 117 | + else |
| 118 | + return [(VI, C)] |
| 119 | + end |
| 120 | +end |
| 121 | + |
| 122 | +function MOI.get( |
| 123 | + model::QUBOModel{T,C}, |
| 124 | + ::MOI.ListOfConstraintIndices{VI,C}, |
| 125 | +) where {T,C<:BinaryDomain} |
| 126 | + return [CI{VI,C}(vi.value) for vi in model.variables] |
| 127 | +end |
| 128 | + |
| 129 | +function MOI.get(model::QUBOModel, ::MOI.ListOfVariableIndices) |
| 130 | + return model.variables |
| 131 | +end |
| 132 | + |
| 133 | +function MOI.get( |
| 134 | + ::QUBOModel{T,C}, |
| 135 | + ::MOI.ConstraintFunction, |
| 136 | + ci::CI{VI,C}, |
| 137 | +) where {T,C<:BinaryDomain} |
| 138 | + return VI(ci.value) |
| 139 | +end |
| 140 | + |
| 141 | +function MOI.get( |
| 142 | + ::QUBOModel{T,C}, |
| 143 | + ::MOI.ConstraintSet, |
| 144 | + ::CI{VI,C}, |
| 145 | +) where {T,C<:BinaryDomain} |
| 146 | + return C() |
| 147 | +end |
| 148 | + |
| 149 | +function MOI.get(::QUBOModel{T,C}, ::MOI.VariableName, vi::VI) where {T,C<:BinaryDomain} |
| 150 | + if C === MOI.ZeroOne |
| 151 | + return "x[$(vi.value)]" |
| 152 | + else # C === Spin |
| 153 | + return "s[$(vi.value)]" |
| 154 | + end |
| 155 | +end |
| 156 | + |
| 157 | +# The function takes no arguments and returns the QUBOModel type. Other |
| 158 | +# packages will assign its return value to a constant, e.g., |
| 159 | +# |
| 160 | +# const QUBOModel = QUBOTools.__moi_qubo_model() |
| 161 | +# |
| 162 | +QUBOTools.__moi_qubo_model() = QUBOModel |
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