15 Commits

10 changed files with 297 additions and 232 deletions

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@@ -1,7 +1,7 @@
name = "MIPLearn"
uuid = "2b1277c3-b477-4c49-a15e-7ba350325c68"
authors = ["Alinson S Xavier <git@axavier.org>"]
version = "0.4.0"
version = "0.4.2"
[deps]
Conda = "8f4d0f93-b110-5947-807f-2305c1781a2d"
@@ -41,3 +41,5 @@ Requires = "1"
Statistics = "1"
TimerOutputs = "0.5"
julia = "1"
PrecompileTools = "1"
SCIP = "0.12"

2
deps/build.jl vendored
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@@ -5,7 +5,7 @@ function install_miplearn()
Conda.update()
pip = joinpath(dirname(pyimport("sys").executable), "pip")
isfile(pip) || error("$pip: invalid path")
run(`$pip install miplearn==0.4.0`)
run(`$pip install miplearn==0.4.4`)
end
install_miplearn()

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@@ -6,7 +6,7 @@ using Printf
function print_progress_header()
@printf(
"%8s %9s %9s %13s %13s %9s %6s %13s %6s %-24s %9s %9s %6s %6s",
"%8s %9s %9s %13s %13s %9s %9s %13s %9s %-24s %9s %9s %6s %6s",
"time",
"processed",
"pending",
@@ -46,7 +46,7 @@ function print_progress(
branch_ub = @sprintf("%9.2f", last(node.branch_ub))
end
@printf(
"%8.2f %9d %9d %13.6e %13.6e %9.2e %6d %13.6e %6s %-24s %9s %9s %6d %6d",
"%8.2f %9d %9d %13.6e %13.6e %9.2e %9d %13.6e %9s %-24s %9s %9s %6d %6d",
time_elapsed,
pool.processed,
length(pool.processing) + length(pool.pending),

View File

@@ -134,7 +134,11 @@ function _get_int_variables(
var_ub = constr.upper
MOI.delete(optimizer, _upper_bound_index(var))
end
MOI.add_constraint(optimizer, var, MOI.Interval(var_lb, var_ub))
MOI.add_constraint(
optimizer,
MOI.VariableIndex(var.index),
MOI.Interval(var_lb, var_ub),
)
end
push!(vars, var)
push!(lb, var_lb)

View File

@@ -8,6 +8,8 @@ using HiGHS
using Random
using DataStructures
import ..H5FieldsExtractor
global ExpertDualGmiComponent = PyNULL()
global KnnDualGmiComponent = PyNULL()
@@ -24,8 +26,10 @@ function collect_gmi_dual(
optimizer,
max_rounds = 10,
max_cuts_per_round = 500,
time_limit = 3_600,
)
reset_timer!()
initial_time = time()
@timeit "Read H5" begin
h5_filename = replace(mps_filename, ".mps.gz" => ".h5")
@@ -205,6 +209,12 @@ function collect_gmi_dual(
sum(sp[i] * gmi_exps[i] for (i, c) in enumerate(constrs) if useful[i]),
)
end
elapsed_time = time() - initial_time
if elapsed_time > time_limit
@info "Time limit exceeded. Stopping."
break
end
end
@timeit "Store cuts in H5 file" begin
@@ -253,138 +263,6 @@ function collect_gmi_dual(
)
end
function ExpertDualGmiComponent_before_mip(test_h5, model, _)
# Read cuts and optimal solution
h5 = H5File(test_h5, "r")
sol_opt_dict = Dict(
zip(
h5.get_array("static_var_names"),
convert(Array{Float64}, h5.get_array("mip_var_values")),
),
)
cut_basis_vars = h5.get_array("cuts_basis_vars")
cut_basis_sizes = h5.get_array("cuts_basis_sizes")
cut_rows = h5.get_array("cuts_rows")
obj_mip = h5.get_scalar("mip_lower_bound")
if obj_mip === nothing
obj_mip = h5.get_scalar("mip_obj_value")
end
h5.close()
# Initialize stats
stats_time_convert = 0
stats_time_tableau = 0
stats_time_gmi = 0
all_cuts = nothing
stats_time_convert = @elapsed begin
# Extract problem data
data = ProblemData(model)
# Construct optimal solution vector (with correct variable sequence)
sol_opt = [sol_opt_dict[n] for n in data.var_names]
# Assert optimal solution is feasible for the original problem
assert_leq(data.constr_lb, data.constr_lhs * sol_opt)
assert_leq(data.constr_lhs * sol_opt, data.constr_ub)
# Convert to standard form
data_s, transforms = convert_to_standard_form(data)
model_s = to_model(data_s)
set_optimizer(model_s, HiGHS.Optimizer)
relax_integrality(model_s)
# Convert optimal solution to standard form
sol_opt_s = forward(transforms, sol_opt)
# Assert converted solution is feasible for standard form problem
assert_eq(data_s.constr_lhs * sol_opt_s, data_s.constr_lb)
end
current_basis = nothing
for (r, row) in enumerate(cut_rows)
stats_time_tableau += @elapsed begin
if r == 1 || cut_basis_vars[r, :] != cut_basis_vars[r-1, :]
vbb, vnn, cbb, cnn = cut_basis_sizes[r, :]
current_basis = Basis(;
var_basic = cut_basis_vars[r, 1:vbb],
var_nonbasic = cut_basis_vars[r, vbb+1:vbb+vnn],
constr_basic = cut_basis_vars[r, vbb+vnn+1:vbb+vnn+cbb],
constr_nonbasic = cut_basis_vars[r, vbb+vnn+cbb+1:vbb+vnn+cbb+cnn],
)
end
tableau = compute_tableau(data_s, current_basis, rows = [row])
assert_eq(tableau.lhs * sol_opt_s, tableau.rhs)
end
stats_time_gmi += @elapsed begin
cuts_s = compute_gmi(data_s, tableau)
assert_does_not_cut_off(cuts_s, sol_opt_s)
end
cuts = backwards(transforms, cuts_s)
assert_does_not_cut_off(cuts, sol_opt)
if all_cuts === nothing
all_cuts = cuts
else
all_cuts.lhs = [all_cuts.lhs; cuts.lhs]
all_cuts.lb = [all_cuts.lb; cuts.lb]
all_cuts.ub = [all_cuts.ub; cuts.ub]
end
end
# Strategy 1: Add all cuts during the first call
function cut_callback_1(cb_data)
if all_cuts !== nothing
constrs = build_constraints(model, all_cuts)
@info "Enforcing $(length(constrs)) cuts..."
for c in constrs
MOI.submit(model, MOI.UserCut(cb_data), c)
end
all_cuts = nothing
end
end
# Strategy 2: Add violated cuts repeatedly until unable to separate
callback_disabled = false
function cut_callback_2(cb_data)
if callback_disabled
return
end
x = all_variables(model)
x_val = callback_value.(cb_data, x)
lhs_val = all_cuts.lhs * x_val
is_violated = lhs_val .> all_cuts.ub
selected_idx = findall(is_violated .== true)
selected_cuts = ConstraintSet(
lhs=all_cuts.lhs[selected_idx, :],
ub=all_cuts.ub[selected_idx],
lb=all_cuts.lb[selected_idx],
)
constrs = build_constraints(model, selected_cuts)
if length(constrs) > 0
@info "Enforcing $(length(constrs)) cuts..."
for c in constrs
MOI.submit(model, MOI.UserCut(cb_data), c)
end
else
@info "No violated cuts found. Disabling callback."
callback_disabled = true
end
end
# Set up cut callback
set_attribute(model, MOI.UserCutCallback(), cut_callback_1)
# set_attribute(model, MOI.UserCutCallback(), cut_callback_2)
stats = Dict()
stats["ExpertDualGmi: cuts"] = length(all_cuts.lb)
stats["ExpertDualGmi: time convert"] = stats_time_convert
stats["ExpertDualGmi: time tableau"] = stats_time_tableau
stats["ExpertDualGmi: time gmi"] = stats_time_gmi
return stats
end
function add_constraint_set_dual_v2(model::JuMP.Model, cs::ConstraintSet)
vars = all_variables(model)
nrows, ncols = size(cs.lhs)
@@ -441,6 +319,58 @@ function _dualgmi_features(h5_filename, extractor)
end
end
function _dualgmi_compress_h5(h5_filename)
vars_to_basis_offset = Dict()
basis_vars = []
basis_sizes = []
cut_basis::Array{Int} = []
cut_row::Array{Int} = []
h5 = H5File(h5_filename, "r")
orig_cut_basis_vars = h5.get_array("cuts_basis_vars")
orig_cut_basis_sizes = h5.get_array("cuts_basis_sizes")
orig_cut_rows = h5.get_array("cuts_rows")
h5.close()
if orig_cut_basis_vars === nothing
@warn "orig_cut_basis_vars is null; skipping file"
return
end
ncuts, _ = size(orig_cut_basis_vars)
if ncuts == 0
return
end
for i in 1:ncuts
vars = orig_cut_basis_vars[i, :]
sizes = orig_cut_basis_sizes[i, :]
row = orig_cut_rows[i]
if vars keys(vars_to_basis_offset)
offset = size(basis_vars)[1] + 1
vars_to_basis_offset[vars] = offset
push!(basis_vars, vars)
push!(basis_sizes, sizes)
end
offset = vars_to_basis_offset[vars]
push!(cut_basis, offset)
push!(cut_row, row)
end
basis_vars = hcat(basis_vars...)'
basis_sizes = hcat(basis_sizes...)'
_, n_vars = size(basis_vars)
if n_vars == 0
@warn "n_vars is zero; skipping file"
return
end
h5 = H5File(h5_filename, "r+")
h5.put_array("gmi_basis_vars", basis_vars)
h5.put_array("gmi_basis_sizes", basis_sizes)
h5.put_array("gmi_cut_basis", cut_basis)
h5.put_array("gmi_cut_row", cut_row)
h5.file.close()
end
function _dualgmi_generate(train_h5, model)
@timeit "Read problem data" begin
data = ProblemData(model)
@@ -448,54 +378,71 @@ function _dualgmi_generate(train_h5, model)
@timeit "Convert to standard form" begin
data_s, transforms = convert_to_standard_form(data)
end
@timeit "Collect cuts from H5 files" begin
vars_to_unique_basis_offset = Dict()
unique_basis_vars = nothing
unique_basis_sizes = nothing
unique_basis_rows = nothing
basis_vars_to_basis_offset = Dict()
combined_basis_sizes = nothing
combined_basis_sizes_list = Any[]
combined_basis_vars = nothing
combined_basis_vars_list = Any[]
combined_cut_rows = Any[]
for h5_filename in train_h5
h5 = H5File(h5_filename, "r")
cut_basis_vars = h5.get_array("cuts_basis_vars")
cut_basis_sizes = h5.get_array("cuts_basis_sizes")
cut_rows = h5.get_array("cuts_rows")
ncuts, nvars = size(cut_basis_vars)
if unique_basis_vars === nothing
unique_basis_vars = Matrix{Int}(undef, 0, nvars)
unique_basis_sizes = Matrix{Int}(undef, 0, 4)
unique_basis_rows = Dict{Int,Set{Int}}()
end
for i in 1:ncuts
vars = cut_basis_vars[i, :]
sizes = cut_basis_sizes[i, :]
row = cut_rows[i]
if vars keys(vars_to_unique_basis_offset)
offset = size(unique_basis_vars)[1] + 1
vars_to_unique_basis_offset[vars] = offset
unique_basis_vars = [unique_basis_vars; vars']
unique_basis_sizes = [unique_basis_sizes; sizes']
unique_basis_rows[offset] = Set()
@timeit "get_array (new)" begin
h5 = H5File(h5_filename, "r")
gmi_basis_vars = h5.get_array("gmi_basis_vars")
if gmi_basis_vars === nothing
@warn "$(h5_filename) does not contain gmi_basis_vars; skipping"
continue
end
offset = vars_to_unique_basis_offset[vars]
push!(unique_basis_rows[offset], row)
gmi_basis_sizes = h5.get_array("gmi_basis_sizes")
gmi_cut_basis = h5.get_array("gmi_cut_basis")
gmi_cut_row = h5.get_array("gmi_cut_row")
h5.close()
end
@timeit "combine basis" begin
nbasis, _ = size(gmi_basis_vars)
local_to_combined_offset = Dict()
for local_offset in 1:nbasis
vars = gmi_basis_vars[local_offset, :]
sizes = gmi_basis_sizes[local_offset, :]
if vars keys(basis_vars_to_basis_offset)
combined_offset = length(combined_basis_vars_list) + 1
basis_vars_to_basis_offset[vars] = combined_offset
push!(combined_basis_vars_list, vars)
push!(combined_basis_sizes_list, sizes)
push!(combined_cut_rows, Set{Int}())
end
combined_offset = basis_vars_to_basis_offset[vars]
local_to_combined_offset[local_offset] = combined_offset
end
end
@timeit "combine rows" begin
ncuts = length(gmi_cut_row)
for i in 1:ncuts
local_offset = gmi_cut_basis[i]
combined_offset = local_to_combined_offset[local_offset]
row = gmi_cut_row[i]
push!(combined_cut_rows[combined_offset], row)
end
end
@timeit "convert lists to matrices" begin
combined_basis_vars = hcat(combined_basis_vars_list...)'
combined_basis_sizes = hcat(combined_basis_sizes_list...)'
end
h5.close()
end
end
@timeit "Compute tableaus and cuts" begin
all_cuts = nothing
for (offset, rows) in unique_basis_rows
nbasis = length(combined_cut_rows)
for offset in 1:nbasis
rows = combined_cut_rows[offset]
try
vbb, vnn, cbb, cnn = unique_basis_sizes[offset, :]
vbb, vnn, cbb, cnn = combined_basis_sizes[offset, :]
current_basis = Basis(;
var_basic = unique_basis_vars[offset, 1:vbb],
var_nonbasic = unique_basis_vars[offset, vbb+1:vbb+vnn],
constr_basic = unique_basis_vars[offset, vbb+vnn+1:vbb+vnn+cbb],
constr_nonbasic = unique_basis_vars[offset, vbb+vnn+cbb+1:vbb+vnn+cbb+cnn],
var_basic = combined_basis_vars[offset, 1:vbb],
var_nonbasic = combined_basis_vars[offset, vbb+1:vbb+vnn],
constr_basic = combined_basis_vars[offset, vbb+vnn+1:vbb+vnn+cbb],
constr_nonbasic = combined_basis_vars[offset, vbb+vnn+cbb+1:vbb+vnn+cbb+cnn],
)
tableau = compute_tableau(data_s, current_basis; rows=collect(rows))
cuts_s = compute_gmi(data_s, tableau)
cuts = backwards(transforms, cuts_s)
@@ -599,15 +546,7 @@ function KnnDualGmiComponent_before_mip(data::_KnnDualGmiData, test_h5, model, _
end
function __init_gmi_dual__()
@pydef mutable struct Class1
function fit(_, _) end
function before_mip(self, test_h5, model, stats)
ExpertDualGmiComponent_before_mip(test_h5, model.inner, stats)
end
end
copy!(ExpertDualGmiComponent, Class1)
@pydef mutable struct Class2
@pydef mutable struct KnnDualGmiComponentPy
function __init__(self; extractor, k = 3, strategy = "near")
self.data = _KnnDualGmiData(; extractor, k, strategy)
end
@@ -618,7 +557,23 @@ function __init_gmi_dual__()
return @time KnnDualGmiComponent_before_mip(self.data, test_h5, model.inner, stats)
end
end
copy!(KnnDualGmiComponent, Class2)
copy!(KnnDualGmiComponent, KnnDualGmiComponentPy)
@pydef mutable struct ExpertDualGmiComponentPy
function __init__(self)
self.inner = KnnDualGmiComponentPy(
extractor=H5FieldsExtractor(instance_fields=["static_var_obj_coeffs"]),
k=1,
)
end
function fit(self, train_h5)
end
function before_mip(self, test_h5, model, stats)
self.inner.fit([test_h5])
return self.inner.before_mip(test_h5, model, stats)
end
end
copy!(ExpertDualGmiComponent, ExpertDualGmiComponentPy)
end
export collect_gmi_dual, expert_gmi_dual, ExpertDualGmiComponent, KnnDualGmiComponent

View File

@@ -13,6 +13,7 @@ include("collectors.jl")
include("components.jl")
include("extractors.jl")
include("io.jl")
include("problems/maxcut.jl")
include("problems/setcover.jl")
include("problems/stab.jl")
include("problems/tsp.jl")
@@ -24,6 +25,7 @@ function __init__()
__init_components__()
__init_extractors__()
__init_io__()
__init_problems_maxcut__()
__init_problems_setcover__()
__init_problems_stab__()
__init_problems_tsp__()
@@ -37,48 +39,48 @@ include("Cuts/Cuts.jl")
# Precompilation
# =============================================================================
function __precompile_cuts__()
function build_model(mps_filename)
model = read_from_file(mps_filename)
set_optimizer(model, SCIP.Optimizer)
return JumpModel(model)
end
BASEDIR = dirname(@__FILE__)
mps_filename = "$BASEDIR/../test/fixtures/bell5.mps.gz"
h5_filename = "$BASEDIR/../test/fixtures/bell5.h5"
collect_gmi_dual(
mps_filename;
optimizer=HiGHS.Optimizer,
max_rounds = 10,
max_cuts_per_round = 500,
)
knn = KnnDualGmiComponent(
extractor = H5FieldsExtractor(instance_fields = ["static_var_obj_coeffs"]),
k = 2,
)
knn.fit([h5_filename, h5_filename])
solver = LearningSolver(
components = [
ExpertPrimalComponent(action = SetWarmStart()),
knn,
],
skip_lp = true,
)
solver.optimize(mps_filename, build_model)
end
# function __precompile_cuts__()
# function build_model(mps_filename)
# model = read_from_file(mps_filename)
# set_optimizer(model, SCIP.Optimizer)
# return JumpModel(model)
# end
# BASEDIR = dirname(@__FILE__)
# mps_filename = "$BASEDIR/../test/fixtures/bell5.mps.gz"
# h5_filename = "$BASEDIR/../test/fixtures/bell5.h5"
# collect_gmi_dual(
# mps_filename;
# optimizer=HiGHS.Optimizer,
# max_rounds = 10,
# max_cuts_per_round = 500,
# )
# knn = KnnDualGmiComponent(
# extractor = H5FieldsExtractor(instance_fields = ["static_var_obj_coeffs"]),
# k = 2,
# )
# knn.fit([h5_filename, h5_filename])
# solver = LearningSolver(
# components = [
# ExpertPrimalComponent(action = SetWarmStart()),
# knn,
# ],
# skip_lp = true,
# )
# solver.optimize(mps_filename, build_model)
# end
@setup_workload begin
using SCIP
using HiGHS
using MIPLearn.Cuts
using PrecompileTools: @setup_workload, @compile_workload
# @setup_workload begin
# using SCIP
# using HiGHS
# using MIPLearn.Cuts
# using PrecompileTools: @setup_workload, @compile_workload
__init__()
Cuts.__init__()
# __init__()
# Cuts.__init__()
@compile_workload begin
__precompile_cuts__()
end
end
# @compile_workload begin
# __precompile_cuts__()
# end
# end
end # module

31
src/problems/maxcut.jl Normal file
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@@ -0,0 +1,31 @@
# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
# Copyright (C) 2020-2025, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using JuMP
global MaxCutData = PyNULL()
global MaxCutGenerator = PyNULL()
function __init_problems_maxcut__()
copy!(MaxCutData, pyimport("miplearn.problems.maxcut").MaxCutData)
copy!(MaxCutGenerator, pyimport("miplearn.problems.maxcut").MaxCutGenerator)
end
function build_maxcut_model_jump(data::Any; optimizer)
if data isa String
data = read_pkl_gz(data)
end
nodes = collect(data.graph.nodes())
edges = collect(data.graph.edges())
model = Model(optimizer)
@variable(model, x[nodes], Bin)
@objective(
model,
Min,
sum(-data.weights[i] * x[e[1]] * (1 - x[e[2]]) for (i, e) in enumerate(edges))
)
return JumpModel(model)
end
export MaxCutData, MaxCutGenerator, build_maxcut_model_jump

View File

@@ -89,14 +89,27 @@ function _extract_after_load_vars(model::JuMP.Model, h5)
for v in vars
]
types = [JuMP.is_binary(v) ? "B" : JuMP.is_integer(v) ? "I" : "C" for v in vars]
obj = objective_function(model, AffExpr)
obj_coeffs = [v keys(obj.terms) ? obj.terms[v] : 0.0 for v in vars]
# Linear obj terms
obj = objective_function(model, QuadExpr)
obj_coeffs_linear = [v keys(obj.aff.terms) ? obj.aff.terms[v] : 0.0 for v in vars]
# Quadratic obj terms
if length(obj.terms) > 0
nvars = length(vars)
obj_coeffs_quad = zeros(nvars, nvars)
for (pair, coeff) in obj.terms
obj_coeffs_quad[pair.a.index.value, pair.b.index.value] = coeff
end
h5.put_array("static_var_obj_coeffs_quad", obj_coeffs_quad)
end
h5.put_array("static_var_names", to_str_array(JuMP.name.(vars)))
h5.put_array("static_var_types", to_str_array(types))
h5.put_array("static_var_lower_bounds", lb)
h5.put_array("static_var_upper_bounds", ub)
h5.put_array("static_var_obj_coeffs", obj_coeffs)
h5.put_scalar("static_obj_offset", obj.constant)
h5.put_array("static_var_obj_coeffs", obj_coeffs_linear)
h5.put_scalar("static_obj_offset", obj.aff.constant)
end
function _extract_after_load_constrs(model::JuMP.Model, h5)
@@ -143,7 +156,7 @@ function _extract_after_load_constrs(model::JuMP.Model, h5)
end
end
if isempty(names)
error("no model constraints found; note that MIPLearn ignores unnamed constraints")
return
end
lhs = sparse(lhs_rows, lhs_cols, lhs_values, length(rhs), JuMP.num_variables(model))
h5.put_sparse("static_constr_lhs", lhs)
@@ -282,9 +295,11 @@ function _extract_after_mip(model::JuMP.Model, h5)
# Slacks
lhs = h5.get_sparse("static_constr_lhs")
rhs = h5.get_array("static_constr_rhs")
slacks = abs.(lhs * x - rhs)
h5.put_array("mip_constr_slacks", slacks)
if lhs !== nothing
rhs = h5.get_array("static_constr_rhs")
slacks = abs.(lhs * x - rhs)
h5.put_array("mip_constr_slacks", slacks)
end
# Cuts and lazy constraints
ext = model.ext[:miplearn]

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@@ -24,6 +24,7 @@ include("Cuts/tableau/test_gmi_dual.jl")
include("problems/test_setcover.jl")
include("problems/test_stab.jl")
include("problems/test_tsp.jl")
include("problems/test_maxcut.jl")
include("solvers/test_jump.jl")
include("test_io.jl")
include("test_usage.jl")
@@ -37,6 +38,7 @@ function runtests()
test_problems_setcover()
test_problems_stab()
test_problems_tsp()
test_problems_maxcut()
test_solvers_jump()
test_usage()
test_cuts()

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@@ -0,0 +1,54 @@
# MIPLearn: Extensible Framework for Learning-Enhanced Mixed-Integer Optimization
# Copyright (C) 2020-2025, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using PyCall
function test_problems_maxcut()
np = pyimport("numpy")
random = pyimport("random")
scipy_stats = pyimport("scipy.stats")
randint = scipy_stats.randint
uniform = scipy_stats.uniform
# Set random seed
random.seed(42)
np.random.seed(42)
# Build random instance
data = MaxCutGenerator(
n = randint(low = 10, high = 11),
p = uniform(loc = 0.5, scale = 0.0),
fix_graph = false,
).generate(
1,
)[1]
# Build model
model = build_maxcut_model_jump(data, optimizer = SCIP.Optimizer)
# Check static features
h5 = H5File(tempname(), "w")
model.extract_after_load(h5)
obj_linear = h5.get_array("static_var_obj_coeffs")
obj_quad = h5.get_array("static_var_obj_coeffs_quad")
@test obj_linear == [3.0, 1.0, 3.0, 1.0, -1.0, 0.0, -1.0, 0.0, -1.0, 0.0]
@test obj_quad == [
0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0
0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0
0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0
0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
]
# Check optimal solution
model.optimize()
model.extract_after_mip(h5)
@test h5.get_scalar("mip_obj_value") == -4
h5.close()
end