/
complement.jl
140 lines (126 loc) · 4.22 KB
/
complement.jl
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# Copyright 2017, Iain Dunning, Joey Huchette, Miles Lubin, and contributors
# This Source Code Form is subject to the terms of the Mozilla Public
# License, v. 2.0. If a copy of the MPL was not distributed with this
# file, You can obtain one at http://mozilla.org/MPL/2.0/.
using JuMP
using Test
include(joinpath(@__DIR__, "utilities.jl"))
@testset "Scalar Complementarity" begin
@testset "complements" begin
model = Model()
@variable(model, x >= 0)
@constraint(model, c, complements(2x - 1, x))
obj = constraint_object(c)
@test obj.func == [2x - 1, x]
@test obj.set == MOI.Complements(1)
end
@testset "⟂" begin
model = Model()
@variable(model, x >= 0)
@variable(model, y >= 0)
@constraint(model, c, x ⟂ y)
obj = constraint_object(c)
@test obj.func == [x, y]
@test obj.set == MOI.Complements(1)
end
@testset "error: x--F" begin
model = Model()
@variable(model, x >= 0)
@test_throws_strip(
ErrorException(
"In `@constraint(model, x ⟂ 2x - 1)`: second term must be a " *
"variable."
),
@constraint(model, x ⟂ 2x - 1)
)
end
@testset "error: F--F" begin
model = Model()
@variable(model, x >= 0)
@test_throws_strip(
ErrorException(
"In `@constraint(model, x + 1 ⟂ 2x - 1)`: second term must " *
"be a variable."
),
@constraint(model, x + 1 ⟂ 2x - 1)
)
end
end
@testset "Vector Complementarity" begin
@testset "complements" begin
model = Model()
@variable(model, x[1:2] >= 0)
@constraint(model, c, complements(2x .- 1, x))
obj = constraint_object(c)
@test obj.func == [2x .- 1; x]
@test obj.set == MOI.Complements(2)
end
@testset "⟂" begin
model = Model()
@variable(model, x[1:2] >= 0)
@variable(model, y[1:2] >= 0)
@constraint(model, c, x ⟂ y)
obj = constraint_object(c)
@test obj.func == [x; y]
@test obj.set == MOI.Complements(2)
end
@testset "error: length mismatch" begin
model = Model()
@variable(model, x[1:2] >= 0)
@test_throws_strip(
ErrorException(
"In `@constraint(model, x ⟂ [x[1]])`: size of mapping does " *
"not match size of variables: (2,) != (1,)."
),
@constraint(model, x ⟂ [x[1]])
)
end
@testset "error: x--F" begin
model = Model()
@variable(model, x[1:2] >= 0)
@test_throws_strip(
ErrorException(
"In `@constraint(model, x ⟂ 2x .- 1)`: second term must be an " *
"array of variables."
),
@constraint(model, x ⟂ 2x .- 1)
)
end
@testset "error: F--F" begin
model = Model()
@variable(model, x[1:2] >= 0)
@test_throws_strip(
ErrorException(
"In `@constraint(model, x .+ 1 ⟂ 2x .- 1)`: second term must " *
"be an array of variables."
),
@constraint(model, x .+ 1 ⟂ 2x .- 1)
)
end
end
@testset "SparseAxisArray" begin
@testset "complements" begin
model = Model()
@variable(model, x[i=1:3; isodd(i)] >= 0)
@constraint(model, c, complements(2x .- 1, x))
obj = constraint_object(c)
@test obj.func == [2x[3] - 1, 2x[1] - 1, x[3], x[1]] ||
obj.func == [2x[1] - 1, 2x[3] - 1, x[1], x[3]]
@test obj.set == MOI.Complements(2)
end
@testset "⟂" begin
model = Model()
@variable(model, x[i=1:3; isodd(i)] >= 0)
@constraint(model, c, 2x .- 1 ⟂ x)
obj = constraint_object(c)
@test obj.func == [2x[3] - 1, 2x[1] - 1, x[3], x[1]] ||
obj.func == [2x[1] - 1, 2x[3] - 1, x[1], x[3]]
@test obj.set == MOI.Complements(2)
end
@testset "key mismatch" begin
model = Model()
@variable(model, x[i=1:3; isodd(i)] >= 0)
@variable(model, y[i=3:5; isodd(i)] >= 0)
@test_throws(ErrorException, @constraint(model, 2x .- 1 ⟂ y))
end
end