add C# sat code samples in ortools/sat/samples; remove old code_samples_sat.* files
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// Copyright 2010-2017 Google
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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#include "ortools/base/commandlineflags.h"
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#include "ortools/base/logging.h"
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#include "ortools/base/timer.h"
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#include "ortools/sat/cp_model.pb.h"
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#include "ortools/sat/cp_model_solver.h"
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#include "ortools/sat/cp_model_utils.h"
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#include "ortools/sat/model.h"
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#include "ortools/sat/sat_parameters.pb.h"
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namespace operations_research {
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namespace sat {
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void CodeSample() {
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CpModelProto cp_model;
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auto new_boolean_variable = [&cp_model]() {
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(0);
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var->add_domain(1);
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return index;
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};
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const int x = new_boolean_variable();
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LOG(INFO) << x;
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}
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void LiteralSample() {
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CpModelProto cp_model;
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auto new_boolean_variable = [&cp_model]() {
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(0);
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var->add_domain(1);
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return index;
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};
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const int x = new_boolean_variable();
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const int not_x = NegatedRef(x);
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LOG(INFO) << "x = " << x << ", not(x) = " << not_x;
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}
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void BoolOrSample() {
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CpModelProto cp_model;
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auto new_boolean_variable = [&cp_model]() {
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(0);
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var->add_domain(1);
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return index;
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};
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auto add_bool_or = [&cp_model](const std::vector<int>& literals) {
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BoolArgumentProto* const bool_or =
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cp_model.add_constraints()->mutable_bool_or();
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for (const int lit : literals) {
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bool_or->add_literals(lit);
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}
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};
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const int x = new_boolean_variable();
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const int y = new_boolean_variable();
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add_bool_or({x, NegatedRef(y)});
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}
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void ReifiedSample() {
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CpModelProto cp_model;
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auto new_boolean_variable = [&cp_model]() {
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(0);
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var->add_domain(1);
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return index;
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};
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auto add_bool_or = [&cp_model](const std::vector<int>& literals) {
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BoolArgumentProto* const bool_or =
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cp_model.add_constraints()->mutable_bool_or();
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for (const int lit : literals) {
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bool_or->add_literals(lit);
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}
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};
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auto add_reified_bool_and = [&cp_model](const std::vector<int>& literals,
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const int literal) {
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ConstraintProto* const ct = cp_model.add_constraints();
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ct->add_enforcement_literal(literal);
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for (const int lit : literals) {
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ct->mutable_bool_and()->add_literals(lit);
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}
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};
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const int x = new_boolean_variable();
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const int y = new_boolean_variable();
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const int b = new_boolean_variable();
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// First version using a half-reified bool and.
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add_reified_bool_and({x, NegatedRef(y)}, b);
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// Second version using bool or.
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add_bool_or({NegatedRef(b), x});
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add_bool_or({NegatedRef(b), NegatedRef(y)});
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}
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void RabbitsAndPheasants() {
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CpModelProto cp_model;
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// Trivial model with just one variable and no constraint.
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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auto add_linear_constraint = [&cp_model](const std::vector<int>& vars,
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const std::vector<int64>& coeffs,
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int64 lb, int64 ub) {
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LinearConstraintProto* const lin =
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cp_model.add_constraints()->mutable_linear();
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for (const int v : vars) {
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lin->add_vars(v);
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}
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for (const int64 c : coeffs) {
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lin->add_coeffs(c);
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}
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lin->add_domain(lb);
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lin->add_domain(ub);
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};
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// Creates variables.
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const int r = new_variable(0, 100);
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const int p = new_variable(0, 100);
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// 20 heads.
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add_linear_constraint({r, p}, {1, 1}, 20, 20);
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// 56 legs.
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add_linear_constraint({r, p}, {4, 2}, 56, 56);
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// Solving part.
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Model model;
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LOG(INFO) << CpModelStats(cp_model);
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const CpSolverResponse response = SolveCpModel(cp_model, &model);
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LOG(INFO) << CpSolverResponseStats(response);
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if (response.status() == CpSolverStatus::FEASIBLE) {
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// Get the value of x in the solution.
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LOG(INFO) << response.solution(r) << " rabbits, and "
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<< response.solution(p) << " pheasants";
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}
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}
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void BinpackingProblem() {
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// Data.
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const int kBinCapacity = 100;
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const int kSlackCapacity = 20;
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const int kNumBins = 10;
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const std::vector<std::vector<int>> items = {
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{20, 12}, {15, 12}, {30, 8}, {45, 5}};
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const int num_items = items.size();
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// Model.
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CpModelProto cp_model;
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// Helpers.
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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auto add_linear_constraint = [&cp_model](const std::vector<int>& vars,
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const std::vector<int64>& coeffs,
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int64 lb, int64 ub) {
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LinearConstraintProto* const lin =
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cp_model.add_constraints()->mutable_linear();
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for (const int v : vars) {
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lin->add_vars(v);
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}
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for (const int64 c : coeffs) {
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lin->add_coeffs(c);
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}
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lin->add_domain(lb);
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lin->add_domain(ub);
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};
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auto add_reified_variable_bounds = [&cp_model](int var, int64 lb, int64 ub,
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int lit) {
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ConstraintProto* const ct = cp_model.add_constraints();
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ct->add_enforcement_literal(lit);
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LinearConstraintProto* const lin = ct->mutable_linear();
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lin->add_vars(var);
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lin->add_coeffs(1);
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lin->add_domain(lb);
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lin->add_domain(ub);
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};
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auto maximize = [&cp_model](const std::vector<int>& vars) {
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CpObjectiveProto* const obj = cp_model.mutable_objective();
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for (const int v : vars) {
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obj->add_vars(v);
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obj->add_coeffs(-1); // Maximize.
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}
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obj->set_scaling_factor(-1.0); // Maximize.
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};
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// Main variables.
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std::vector<std::vector<int>> x(num_items);
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for (int i = 0; i < num_items; ++i) {
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const int num_copies = items[i][1];
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for (int b = 0; b < kNumBins; ++b) {
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x[i].push_back(new_variable(0, num_copies));
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}
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}
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// Load variables.
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std::vector<int> load(kNumBins);
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for (int b = 0; b < kNumBins; ++b) {
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load[b] = new_variable(0, kBinCapacity);
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}
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// Slack variables.
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std::vector<int> slack(kNumBins);
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for (int b = 0; b < kNumBins; ++b) {
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slack[b] = new_variable(0, 1);
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}
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// Links load and x.
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for (int b = 0; b < kNumBins; ++b) {
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std::vector<int> vars;
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std::vector<int64> coeffs;
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vars.push_back(load[b]);
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coeffs.push_back(-1);
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for (int i = 0; i < num_items; ++i) {
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vars.push_back(x[i][b]);
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coeffs.push_back(items[i][0]);
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}
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add_linear_constraint(vars, coeffs, 0, 0);
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}
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// Place all items.
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for (int i = 0; i < num_items; ++i) {
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std::vector<int> vars;
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std::vector<int64> coeffs;
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for (int b = 0; b < kNumBins; ++b) {
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vars.push_back(x[i][b]);
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coeffs.push_back(1);
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}
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add_linear_constraint(vars, coeffs, items[i][1], items[i][1]);
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}
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// Links load and slack through an equivalence relation.
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const int safe_capacity = kBinCapacity - kSlackCapacity;
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for (int b = 0; b < kNumBins; ++b) {
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// slack[b] => load[b] <= safe_capacity.
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add_reified_variable_bounds(load[b], kint64min, safe_capacity, slack[b]);
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// not(slack[b]) => load[b] > safe_capacity.
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add_reified_variable_bounds(load[b], safe_capacity + 1, kint64max,
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NegatedRef(slack[b]));
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}
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// Maximize sum of slacks.
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maximize(slack);
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// Solving part.
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Model model;
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LOG(INFO) << CpModelStats(cp_model);
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const CpSolverResponse response = SolveCpModel(cp_model, &model);
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LOG(INFO) << CpSolverResponseStats(response);
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}
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void IntervalSample() {
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CpModelProto cp_model;
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const int kHorizon = 100;
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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auto new_constant = [&cp_model, &new_variable](int64 v) {
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return new_variable(v, v);
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};
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auto new_interval = [&cp_model](int start, int duration, int end) {
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const int index = cp_model.constraints_size();
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IntervalConstraintProto* const interval =
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cp_model.add_constraints()->mutable_interval();
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interval->set_start(start);
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interval->set_size(duration);
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interval->set_end(end);
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return index;
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};
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const int start_var = new_variable(0, kHorizon);
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const int duration_var = new_constant(10);
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const int end_var = new_variable(0, kHorizon);
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const int interval_var = new_interval(start_var, duration_var, end_var);
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LOG(INFO) << "start_var = " << start_var
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<< ", duration_var = " << duration_var << ", end_var = " << end_var
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<< ", interval_var = " << interval_var;
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}
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void OptionalIntervalSample() {
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CpModelProto cp_model;
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const int kHorizon = 100;
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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auto new_constant = [&cp_model, &new_variable](int64 v) {
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return new_variable(v, v);
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};
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auto new_optional_interval = [&cp_model](int start, int duration, int end,
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int presence) {
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const int index = cp_model.constraints_size();
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ConstraintProto* const ct = cp_model.add_constraints();
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ct->add_enforcement_literal(presence);
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IntervalConstraintProto* const interval = ct->mutable_interval();
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interval->set_start(start);
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interval->set_size(duration);
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interval->set_end(end);
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return index;
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};
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const int start_var = new_variable(0, kHorizon);
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const int duration_var = new_constant(10);
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const int end_var = new_variable(0, kHorizon);
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const int presence_var = new_variable(0, 1);
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const int interval_var =
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new_optional_interval(start_var, duration_var, end_var, presence_var);
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LOG(INFO) << "start_var = " << start_var
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<< ", duration_var = " << duration_var << ", end_var = " << end_var
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<< ", presence_var = " << presence_var
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<< ", interval_var = " << interval_var;
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}
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void SimpleSolve() {
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CpModelProto cp_model;
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// Trivial model with just one variable and no constraint.
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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const int x = new_variable(0, 3);
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// Solving part.
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Model model;
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LOG(INFO) << CpModelStats(cp_model);
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const CpSolverResponse response = SolveCpModel(cp_model, &model);
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LOG(INFO) << CpSolverResponseStats(response);
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if (response.status() == CpSolverStatus::FEASIBLE) {
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// Get the value of x in the solution.
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const int64 value_x = response.solution(x);
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LOG(INFO) << "x = " << value_x;
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}
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}
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void SolveWithTimeLimit() {
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CpModelProto cp_model;
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// Trivial model with just one variable and no constraint.
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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const int x = new_variable(0, 3);
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// Solving part.
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Model model;
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// Sets a time limit of 10 seconds.
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SatParameters parameters;
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parameters.set_max_time_in_seconds(10.0);
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model.Add(NewSatParameters(parameters));
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// Solve.
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LOG(INFO) << CpModelStats(cp_model);
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const CpSolverResponse response = SolveCpModel(cp_model, &model);
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LOG(INFO) << CpSolverResponseStats(response);
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if (response.status() == CpSolverStatus::FEASIBLE) {
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// Get the value of x in the solution.
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const int64 value_x = response.solution(x);
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LOG(INFO) << "value_x = " << value_x;
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}
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}
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void MinimalSatPrintIntermediateSolutions() {
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CpModelProto cp_model;
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auto new_variable = [&cp_model](int64 lb, int64 ub) {
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CHECK_LE(lb, ub);
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const int index = cp_model.variables_size();
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IntegerVariableProto* const var = cp_model.add_variables();
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var->add_domain(lb);
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var->add_domain(ub);
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return index;
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};
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auto add_different = [&cp_model](const int left_var, const int right_var) {
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LinearConstraintProto* const lin =
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cp_model.add_constraints()->mutable_linear();
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lin->add_vars(left_var);
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lin->add_coeffs(1);
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lin->add_vars(right_var);
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lin->add_coeffs(-1);
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lin->add_domain(kint64min);
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lin->add_domain(-1);
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lin->add_domain(1);
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lin->add_domain(kint64max);
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};
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auto maximize = [&cp_model](const std::vector<int>& vars,
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const std::vector<int64>& coeffs) {
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CpObjectiveProto* const obj = cp_model.mutable_objective();
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for (const int v : vars) {
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obj->add_vars(v);
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}
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for (const int64 c : coeffs) {
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obj->add_coeffs(-c); // Maximize.
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}
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obj->set_scaling_factor(-1.0); // Maximize.
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};
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|
||||
const int kNumVals = 3;
|
||||
const int x = new_variable(0, kNumVals - 1);
|
||||
const int y = new_variable(0, kNumVals - 1);
|
||||
const int z = new_variable(0, kNumVals - 1);
|
||||
|
||||
add_different(x, y);
|
||||
|
||||
maximize({x, y, z}, {1, 2, 3});
|
||||
|
||||
Model model;
|
||||
int num_solutions = 0;
|
||||
model.Add(NewFeasibleSolutionObserver([&](const CpSolverResponse& r) {
|
||||
LOG(INFO) << "Solution " << num_solutions;
|
||||
LOG(INFO) << " objective value = " << r.objective_value();
|
||||
LOG(INFO) << " x = " << r.solution(x);
|
||||
LOG(INFO) << " y = " << r.solution(y);
|
||||
LOG(INFO) << " z = " << r.solution(z);
|
||||
num_solutions++;
|
||||
}));
|
||||
const CpSolverResponse response = SolveCpModel(cp_model, &model);
|
||||
LOG(INFO) << "Number of solutions found: " << num_solutions;
|
||||
}
|
||||
|
||||
void MinimalSatSearchForAllSolutions() {
|
||||
CpModelProto cp_model;
|
||||
|
||||
auto new_variable = [&cp_model](int64 lb, int64 ub) {
|
||||
CHECK_LE(lb, ub);
|
||||
const int index = cp_model.variables_size();
|
||||
IntegerVariableProto* const var = cp_model.add_variables();
|
||||
var->add_domain(lb);
|
||||
var->add_domain(ub);
|
||||
return index;
|
||||
};
|
||||
|
||||
auto add_different = [&cp_model](const int left_var, const int right_var) {
|
||||
LinearConstraintProto* const lin =
|
||||
cp_model.add_constraints()->mutable_linear();
|
||||
lin->add_vars(left_var);
|
||||
lin->add_coeffs(1);
|
||||
lin->add_vars(right_var);
|
||||
lin->add_coeffs(-1);
|
||||
lin->add_domain(kint64min);
|
||||
lin->add_domain(-1);
|
||||
lin->add_domain(1);
|
||||
lin->add_domain(kint64max);
|
||||
};
|
||||
|
||||
const int kNumVals = 3;
|
||||
const int x = new_variable(0, kNumVals - 1);
|
||||
const int y = new_variable(0, kNumVals - 1);
|
||||
const int z = new_variable(0, kNumVals - 1);
|
||||
|
||||
add_different(x, y);
|
||||
|
||||
Model model;
|
||||
|
||||
// Tell the solver to enumerate all solutions.
|
||||
SatParameters parameters;
|
||||
parameters.set_enumerate_all_solutions(true);
|
||||
model.Add(NewSatParameters(parameters));
|
||||
|
||||
int num_solutions = 0;
|
||||
model.Add(NewFeasibleSolutionObserver([&](const CpSolverResponse& r) {
|
||||
LOG(INFO) << "Solution " << num_solutions;
|
||||
LOG(INFO) << " x = " << r.solution(x);
|
||||
LOG(INFO) << " y = " << r.solution(y);
|
||||
LOG(INFO) << " z = " << r.solution(z);
|
||||
num_solutions++;
|
||||
}));
|
||||
const CpSolverResponse response = SolveCpModel(cp_model, &model);
|
||||
LOG(INFO) << "Number of solutions found: " << num_solutions;
|
||||
}
|
||||
|
||||
} // namespace sat
|
||||
} // namespace operations_research
|
||||
|
||||
int main() {
|
||||
LOG(INFO) << "--- CodeSample ---";
|
||||
operations_research::sat::CodeSample();
|
||||
LOG(INFO) << "--- LiteralSample ---";
|
||||
operations_research::sat::LiteralSample();
|
||||
LOG(INFO) << "--- BoolOrSample ---";
|
||||
operations_research::sat::BoolOrSample();
|
||||
LOG(INFO) << "--- ReifiedSample ---";
|
||||
operations_research::sat::ReifiedSample();
|
||||
LOG(INFO) << "--- RabbitsAndPheasants ---";
|
||||
operations_research::sat::RabbitsAndPheasants();
|
||||
LOG(INFO) << "--- BinpackingProblem ---";
|
||||
operations_research::sat::BinpackingProblem();
|
||||
LOG(INFO) << "--- IntervalSample ---";
|
||||
operations_research::sat::IntervalSample();
|
||||
LOG(INFO) << "--- OptionalIntervalSample ---";
|
||||
operations_research::sat::OptionalIntervalSample();
|
||||
LOG(INFO) << "--- SimpleSolve ---";
|
||||
operations_research::sat::SimpleSolve();
|
||||
LOG(INFO) << "--- SolveWithTimeLimit ---";
|
||||
operations_research::sat::SolveWithTimeLimit();
|
||||
LOG(INFO) << "--- MinimalSatPrintIntermediateSolutions ---";
|
||||
operations_research::sat::MinimalSatPrintIntermediateSolutions();
|
||||
LOG(INFO) << "--- MinimalSatSearchForAllSolutions ---";
|
||||
operations_research::sat::MinimalSatSearchForAllSolutions();
|
||||
|
||||
return EXIT_SUCCESS;
|
||||
}
|
||||
@@ -1,404 +0,0 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class VarArraySolutionPrinter : CpSolverSolutionCallback
|
||||
{
|
||||
public VarArraySolutionPrinter(IntVar[] variables)
|
||||
{
|
||||
variables_ = variables;
|
||||
}
|
||||
|
||||
public override void OnSolutionCallback()
|
||||
{
|
||||
{
|
||||
Console.WriteLine(String.Format("Solution #{0}: time = {1:F2} s",
|
||||
solution_count_, WallTime()));
|
||||
foreach (IntVar v in variables_)
|
||||
{
|
||||
Console.WriteLine(
|
||||
String.Format(" {0} = {1}", v.ShortString(), Value(v)));
|
||||
}
|
||||
solution_count_++;
|
||||
}
|
||||
}
|
||||
|
||||
public int SolutionCount()
|
||||
{
|
||||
return solution_count_;
|
||||
}
|
||||
|
||||
private int solution_count_;
|
||||
private IntVar[] variables_;
|
||||
}
|
||||
|
||||
public class VarArraySolutionPrinterWithObjective : CpSolverSolutionCallback
|
||||
{
|
||||
public VarArraySolutionPrinterWithObjective(IntVar[] variables)
|
||||
{
|
||||
variables_ = variables;
|
||||
}
|
||||
|
||||
public override void OnSolutionCallback()
|
||||
{
|
||||
{
|
||||
Console.WriteLine(String.Format("Solution #{0}: time = {1:F2} s",
|
||||
solution_count_, WallTime()));
|
||||
Console.WriteLine(
|
||||
String.Format(" objective value = {0}", ObjectiveValue()));
|
||||
foreach (IntVar v in variables_)
|
||||
{
|
||||
Console.WriteLine(
|
||||
String.Format(" {0} = {1}", v.ShortString(), Value(v)));
|
||||
}
|
||||
solution_count_++;
|
||||
}
|
||||
}
|
||||
|
||||
public int SolutionCount()
|
||||
{
|
||||
return solution_count_;
|
||||
}
|
||||
|
||||
private int solution_count_;
|
||||
private IntVar[] variables_;
|
||||
}
|
||||
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void CodeSample()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the Boolean variable.
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
}
|
||||
|
||||
static void LiteralSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
ILiteral not_x = x.Not();
|
||||
}
|
||||
|
||||
static void BoolOrSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
IntVar y = model.NewBoolVar("y");
|
||||
model.AddBoolOr(new ILiteral[] {x, y.Not()});
|
||||
}
|
||||
|
||||
static void ReifiedSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
IntVar y = model.NewBoolVar("y");
|
||||
IntVar b = model.NewBoolVar("b");
|
||||
|
||||
// First version using a half-reified bool and.
|
||||
model.AddBoolAnd(new ILiteral[] {x, y.Not()}).OnlyEnforceIf(b);
|
||||
|
||||
// Second version using implications.
|
||||
model.AddImplication(b, x);
|
||||
model.AddImplication(b, y.Not());
|
||||
|
||||
// Third version using bool or.
|
||||
model.AddBoolOr(new ILiteral[] {b.Not(), x});
|
||||
model.AddBoolOr(new ILiteral[] {b.Not(), y.Not()});
|
||||
}
|
||||
|
||||
static void RabbitsAndPheasants()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
IntVar r = model.NewIntVar(0, 100, "r");
|
||||
IntVar p = model.NewIntVar(0, 100, "p");
|
||||
// 20 heads.
|
||||
model.Add(r + p == 20);
|
||||
// 56 legs.
|
||||
model.Add(4 * r + 2 * p == 56);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine(solver.Value(r) + " rabbits, and " +
|
||||
solver.Value(p) + " pheasants");
|
||||
}
|
||||
}
|
||||
|
||||
static void BinpackingProblem()
|
||||
{
|
||||
// Data.
|
||||
int bin_capacity = 100;
|
||||
int slack_capacity = 20;
|
||||
int num_bins = 10;
|
||||
|
||||
int[,] items = new int[,] { {20, 12}, {15, 12}, {30, 8}, {45, 5} };
|
||||
int num_items = items.GetLength(0);
|
||||
|
||||
// Model.
|
||||
CpModel model = new CpModel();
|
||||
|
||||
// Main variables.
|
||||
IntVar[,] x = new IntVar[num_items, num_bins];
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
int num_copies = items[i, 1];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
x[i, b] = model.NewIntVar(0, num_copies, String.Format("x_{0}_{1}", i, b));
|
||||
}
|
||||
}
|
||||
|
||||
// Load variables.
|
||||
IntVar[] load = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
load[b] = model.NewIntVar(0, bin_capacity, String.Format("load_{0}", b));
|
||||
}
|
||||
|
||||
// Slack variables.
|
||||
IntVar[] slacks = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
slacks[b] = model.NewBoolVar(String.Format("slack_{0}", b));
|
||||
}
|
||||
|
||||
// Links load and x.
|
||||
int[] sizes = new int[num_items];
|
||||
for (int i = 0; i < num_items; ++i) {
|
||||
sizes[i] = items[i, 0];
|
||||
}
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
IntVar[] tmp = new IntVar[num_items];
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
tmp[i] = x[i, b];
|
||||
}
|
||||
model.Add(load[b] == tmp.ScalProd(sizes));
|
||||
}
|
||||
|
||||
// Place all items.
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
IntVar[] tmp = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
tmp[b] = x[i, b];
|
||||
}
|
||||
model.Add(tmp.Sum() == items[i, 1]);
|
||||
}
|
||||
|
||||
// Links load and slack.
|
||||
int safe_capacity = bin_capacity - slack_capacity;
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
// slack[b] => load[b] <= safe_capacity.
|
||||
model.Add(load[b] <= safe_capacity).OnlyEnforceIf(slacks[b]);
|
||||
// not(slack[b]) => load[b] > safe_capacity.
|
||||
model.Add(load[b] > safe_capacity).OnlyEnforceIf(slacks[b].Not());
|
||||
}
|
||||
|
||||
// Maximize sum of slacks.
|
||||
model.Maximize(slacks.Sum());
|
||||
|
||||
// Solves and prints out the solution.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
Console.WriteLine(String.Format("Solve status: {0}", status));
|
||||
if (status == CpSolverStatus.Optimal) {
|
||||
Console.WriteLine(String.Format("Optimal objective value: {0}",
|
||||
solver.ObjectiveValue));
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
Console.WriteLine(String.Format("load_{0} = {1}",
|
||||
b, solver.Value(load[b])));
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
Console.WriteLine(string.Format(" item_{0}_{1} = {2}",
|
||||
i, b, solver.Value(x[i, b])));
|
||||
}
|
||||
}
|
||||
}
|
||||
Console.WriteLine("Statistics");
|
||||
Console.WriteLine(
|
||||
String.Format(" - conflicts : {0}", solver.NumConflicts()));
|
||||
Console.WriteLine(
|
||||
String.Format(" - branches : {0}", solver.NumBranches()));
|
||||
Console.WriteLine(
|
||||
String.Format(" - wall time : {0} s", solver.WallTime()));
|
||||
}
|
||||
|
||||
static void IntervalSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
int horizon = 100;
|
||||
IntVar start_var = model.NewIntVar(0, horizon, "start");
|
||||
// C# code supports IntVar or integer constants in intervals.
|
||||
int duration = 10;
|
||||
IntVar end_var = model.NewIntVar(0, horizon, "end");
|
||||
IntervalVar interval =
|
||||
model.NewIntervalVar(start_var, duration, end_var, "interval");
|
||||
}
|
||||
|
||||
static void OptionalIntervalSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
int horizon = 100;
|
||||
IntVar start_var = model.NewIntVar(0, horizon, "start");
|
||||
// C# code supports IntVar or integer constants in intervals.
|
||||
int duration = 10;
|
||||
IntVar end_var = model.NewIntVar(0, horizon, "end");
|
||||
IntVar presence_var = model.NewBoolVar("presence");
|
||||
IntervalVar interval = model.NewOptionalIntervalVar(
|
||||
start_var, duration, end_var, presence_var, "interval");
|
||||
}
|
||||
|
||||
static void MinimalCpSat()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Creates the constraints.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine("x = " + solver.Value(x));
|
||||
Console.WriteLine("y = " + solver.Value(y));
|
||||
Console.WriteLine("z = " + solver.Value(z));
|
||||
}
|
||||
}
|
||||
|
||||
static void MinimalCpSatWithTimeLimit()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Creates the constraints.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
|
||||
// Adds a time limit. Parameters are stored as strings in the solver.
|
||||
solver.StringParameters = "max_time_in_seconds:10.0" ;
|
||||
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine("x = " + solver.Value(x));
|
||||
Console.WriteLine("y = " + solver.Value(y));
|
||||
Console.WriteLine("z = " + solver.Value(z));
|
||||
}
|
||||
}
|
||||
|
||||
static void MinimalCpSatPrintIntermediateSolutions()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Creates the constraints.
|
||||
model.Add(x != y);
|
||||
// Create the objective.
|
||||
model.Maximize(x + 2 * y + 3 * z);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
VarArraySolutionPrinterWithObjective cb =
|
||||
new VarArraySolutionPrinterWithObjective(new IntVar[] {x, y, z});
|
||||
solver.SearchAllSolutions(model, cb);
|
||||
Console.WriteLine(String.Format("Number of solutions found: {0}",
|
||||
cb.SolutionCount()));
|
||||
}
|
||||
|
||||
static void MinimalCpSatAllSolutions()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Creates the constraints.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
VarArraySolutionPrinter cb =
|
||||
new VarArraySolutionPrinter(new IntVar[] {x, y, z});
|
||||
solver.SearchAllSolutions(model, cb);
|
||||
Console.WriteLine(String.Format("Number of solutions found: {0}",
|
||||
cb.SolutionCount()));
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
Console.WriteLine("--- CodeSample ---");
|
||||
CodeSample();
|
||||
Console.WriteLine("--- LiteralSample ---");
|
||||
LiteralSample();
|
||||
Console.WriteLine("--- BoolOrSample ---");
|
||||
BoolOrSample();
|
||||
Console.WriteLine("--- ReifiedSample ---");
|
||||
ReifiedSample();
|
||||
Console.WriteLine("--- RabbitsAndPheasants ---");
|
||||
RabbitsAndPheasants();
|
||||
Console.WriteLine("--- BinpackingProblem ---");
|
||||
BinpackingProblem();
|
||||
Console.WriteLine("--- IntervalSample ---");
|
||||
IntervalSample();
|
||||
Console.WriteLine("--- OptionalIntervalSample ---");
|
||||
OptionalIntervalSample();
|
||||
Console.WriteLine("--- MinimalCpSat ---");
|
||||
MinimalCpSat();
|
||||
Console.WriteLine("--- MinimalCpSatWithTimeLimit ---");
|
||||
MinimalCpSatWithTimeLimit();
|
||||
Console.WriteLine("--- MinimalCpSatPrintIntermediateSolutions ---");
|
||||
MinimalCpSatPrintIntermediateSolutions();
|
||||
Console.WriteLine("--- MinimalCpSatAllSolutions ---");
|
||||
MinimalCpSatAllSolutions();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
@@ -24,10 +23,10 @@ void BinpackingProblem() {
|
||||
// Data.
|
||||
const int kBinCapacity = 100;
|
||||
const int kSlackCapacity = 20;
|
||||
const int kNumBins = 10;
|
||||
const int kNumBins = 5;
|
||||
|
||||
const std::vector<std::vector<int>> items = {
|
||||
{20, 12}, {15, 12}, {30, 8}, {45, 5}};
|
||||
{20, 6}, {15, 6}, {30, 4}, {45, 3}};
|
||||
const int num_items = items.size();
|
||||
|
||||
// Model.
|
||||
|
||||
128
ortools/sat/samples/binpacking_problem.cs
Normal file
128
ortools/sat/samples/binpacking_problem.cs
Normal file
@@ -0,0 +1,128 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void BinpackingProblem()
|
||||
{
|
||||
// Data.
|
||||
int bin_capacity = 100;
|
||||
int slack_capacity = 20;
|
||||
int num_bins = 10;
|
||||
|
||||
int[,] items = new int[,] { {20, 12}, {15, 12}, {30, 8}, {45, 5} };
|
||||
int num_items = items.GetLength(0);
|
||||
|
||||
// Model.
|
||||
CpModel model = new CpModel();
|
||||
|
||||
// Main variables.
|
||||
IntVar[,] x = new IntVar[num_items, num_bins];
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
int num_copies = items[i, 1];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
x[i, b] = model.NewIntVar(0, num_copies, String.Format("x_{0}_{1}", i, b));
|
||||
}
|
||||
}
|
||||
|
||||
// Load variables.
|
||||
IntVar[] load = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
load[b] = model.NewIntVar(0, bin_capacity, String.Format("load_{0}", b));
|
||||
}
|
||||
|
||||
// Slack variables.
|
||||
IntVar[] slacks = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
slacks[b] = model.NewBoolVar(String.Format("slack_{0}", b));
|
||||
}
|
||||
|
||||
// Links load and x.
|
||||
int[] sizes = new int[num_items];
|
||||
for (int i = 0; i < num_items; ++i) {
|
||||
sizes[i] = items[i, 0];
|
||||
}
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
IntVar[] tmp = new IntVar[num_items];
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
tmp[i] = x[i, b];
|
||||
}
|
||||
model.Add(load[b] == tmp.ScalProd(sizes));
|
||||
}
|
||||
|
||||
// Place all items.
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
IntVar[] tmp = new IntVar[num_bins];
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
tmp[b] = x[i, b];
|
||||
}
|
||||
model.Add(tmp.Sum() == items[i, 1]);
|
||||
}
|
||||
|
||||
// Links load and slack.
|
||||
int safe_capacity = bin_capacity - slack_capacity;
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
// slack[b] => load[b] <= safe_capacity.
|
||||
model.Add(load[b] <= safe_capacity).OnlyEnforceIf(slacks[b]);
|
||||
// not(slack[b]) => load[b] > safe_capacity.
|
||||
model.Add(load[b] > safe_capacity).OnlyEnforceIf(slacks[b].Not());
|
||||
}
|
||||
|
||||
// Maximize sum of slacks.
|
||||
model.Maximize(slacks.Sum());
|
||||
|
||||
Console.WriteLine(model.Model);
|
||||
|
||||
// Solves and prints out the solution.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
Console.WriteLine(String.Format("Solve status: {0}", status));
|
||||
if (status == CpSolverStatus.Optimal) {
|
||||
Console.WriteLine(String.Format("Optimal objective value: {0}",
|
||||
solver.ObjectiveValue));
|
||||
for (int b = 0; b < num_bins; ++b)
|
||||
{
|
||||
Console.WriteLine(String.Format("load_{0} = {1}",
|
||||
b, solver.Value(load[b])));
|
||||
for (int i = 0; i < num_items; ++i)
|
||||
{
|
||||
Console.WriteLine(string.Format(" item_{0}_{1} = {2}",
|
||||
i, b, solver.Value(x[i, b])));
|
||||
}
|
||||
}
|
||||
}
|
||||
Console.WriteLine("Statistics");
|
||||
Console.WriteLine(String.Format(" - conflicts : {0}",
|
||||
solver.NumConflicts()));
|
||||
Console.WriteLine(String.Format(" - branches : {0}",
|
||||
solver.NumBranches()));
|
||||
Console.WriteLine(String.Format(" - wall time : {0} s",
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
BinpackingProblem();
|
||||
}
|
||||
}
|
||||
@@ -24,10 +24,10 @@ def BinpackingProblem():
|
||||
# Data.
|
||||
bin_capacity = 100
|
||||
slack_capacity = 20
|
||||
num_bins = 10
|
||||
num_bins = 5
|
||||
all_bins = range(num_bins)
|
||||
|
||||
items = [(20, 12), (15, 12), (30, 8), (45, 5)]
|
||||
items = [(20, 6), (15, 6), (30, 4), (45, 3)]
|
||||
num_items = len(items)
|
||||
all_items = range(num_items)
|
||||
|
||||
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
30
ortools/sat/samples/bool_or_sample.cs
Normal file
30
ortools/sat/samples/bool_or_sample.cs
Normal file
@@ -0,0 +1,30 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void BoolOrSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
IntVar y = model.newBoolVar("y");
|
||||
model.AddBoolOr(new ILiteral[] {x, y.Not()});
|
||||
}
|
||||
|
||||
static void Main() {
|
||||
BoolOrSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
31
ortools/sat/samples/code_sample.cs
Normal file
31
ortools/sat/samples/code_sample.cs
Normal file
@@ -0,0 +1,31 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void CodeSample()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the Boolean variable.
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
CodeSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
@@ -33,9 +32,7 @@ void IntervalSample() {
|
||||
return index;
|
||||
};
|
||||
|
||||
auto new_constant = [&cp_model, &new_variable](int64 v) {
|
||||
return new_variable(v, v);
|
||||
};
|
||||
auto new_constant = [&new_variable](int64 v) { return new_variable(v, v); };
|
||||
|
||||
auto new_interval = [&cp_model](int start, int duration, int end) {
|
||||
const int index = cp_model.constraints_size();
|
||||
|
||||
35
ortools/sat/samples/interval_sample.cs
Normal file
35
ortools/sat/samples/interval_sample.cs
Normal file
@@ -0,0 +1,35 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void IntervalSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
int horizon = 100;
|
||||
IntVar start_var = model.NewIntVar(0, horizon, "start");
|
||||
// C# code supports IntVar or integer constants in intervals.
|
||||
int duration = 10;
|
||||
IntVar end_var = model.NewIntVar(0, horizon, "end");
|
||||
IntervalVar interval =
|
||||
model.NewIntervalVar(start_var, duration, end_var, "interval");
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
IntervalSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
29
ortools/sat/samples/literal_sample.cs
Normal file
29
ortools/sat/samples/literal_sample.cs
Normal file
@@ -0,0 +1,29 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void LiteralSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
ILiteral not_x = x.Not();
|
||||
}
|
||||
|
||||
static void Main() {
|
||||
LiteralSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
@@ -33,9 +32,7 @@ void OptionalIntervalSample() {
|
||||
return index;
|
||||
};
|
||||
|
||||
auto new_constant = [&cp_model, &new_variable](int64 v) {
|
||||
return new_variable(v, v);
|
||||
};
|
||||
auto new_constant = [&new_variable](int64 v) { return new_variable(v, v); };
|
||||
|
||||
auto new_optional_interval = [&cp_model](int start, int duration, int end,
|
||||
int presence) {
|
||||
|
||||
36
ortools/sat/samples/optional_interval_sample.cs
Normal file
36
ortools/sat/samples/optional_interval_sample.cs
Normal file
@@ -0,0 +1,36 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void OptionalIntervalSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
int horizon = 100;
|
||||
IntVar start_var = model.NewIntVar(0, horizon, "start");
|
||||
// C# code supports IntVar or integer constants in intervals.
|
||||
int duration = 10;
|
||||
IntVar end_var = model.NewIntVar(0, horizon, "end");
|
||||
IntVar presence_var = model.NewBoolVar("presence");
|
||||
IntervalVar interval = model.NewOptionalIntervalVar(
|
||||
start_var, duration, end_var, presence_var, "interval");
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
OptionalIntervalSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
46
ortools/sat/samples/rabbits_and_pheasants.cs
Normal file
46
ortools/sat/samples/rabbits_and_pheasants.cs
Normal file
@@ -0,0 +1,46 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void RabbitsAndPheasants()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
IntVar r = model.NewIntVar(0, 100, "r");
|
||||
IntVar p = model.NewIntVar(0, 100, "p");
|
||||
// 20 heads.
|
||||
model.Add(r + p == 20);
|
||||
// 56 legs.
|
||||
model.Add(4 * r + 2 * p == 56);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine(solver.Value(r) + " rabbits, and " +
|
||||
solver.Value(p) + " pheasants");
|
||||
}
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
RabbitsAndPheasants();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
42
ortools/sat/samples/reified_sample.cs
Normal file
42
ortools/sat/samples/reified_sample.cs
Normal file
@@ -0,0 +1,42 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void ReifiedSample()
|
||||
{
|
||||
CpModel model = new CpModel();
|
||||
|
||||
IntVar x = model.NewBoolVar("x");
|
||||
IntVar y = model.NewBoolVar("y");
|
||||
IntVar b = model.NewBoolVar("b");
|
||||
|
||||
// First version using a half-reified bool and.
|
||||
model.AddBoolAnd(new ILiteral[] {x, y.Not()}).OnlyEnforceIf(b);
|
||||
|
||||
// Second version using implications.
|
||||
model.AddImplication(b, x);
|
||||
model.AddImplication(b, y.Not());
|
||||
|
||||
// Third version using bool or.
|
||||
model.AddBoolOr(new ILiteral[] {b.Not(), x});
|
||||
model.AddBoolOr(new ILiteral[] {b.Not(), y.Not()});
|
||||
}
|
||||
|
||||
static void Main() {
|
||||
ReifiedSample();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
48
ortools/sat/samples/simple_solve.cs
Normal file
48
ortools/sat/samples/simple_solve.cs
Normal file
@@ -0,0 +1,48 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void SimpleSolve()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Creates the constraints.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine("x = " + solver.Value(x));
|
||||
Console.WriteLine("y = " + solver.Value(y));
|
||||
Console.WriteLine("z = " + solver.Value(z));
|
||||
}
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
SimpleSolve();
|
||||
}
|
||||
}
|
||||
77
ortools/sat/samples/solve_all_solutions.cs
Normal file
77
ortools/sat/samples/solve_all_solutions.cs
Normal file
@@ -0,0 +1,77 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class VarArraySolutionPrinter : CpSolverSolutionCallback
|
||||
{
|
||||
public VarArraySolutionPrinter(IntVar[] variables)
|
||||
{
|
||||
variables_ = variables;
|
||||
}
|
||||
|
||||
public override void OnSolutionCallback()
|
||||
{
|
||||
{
|
||||
Console.WriteLine(String.Format("Solution #{0}: time = {1:F2} s",
|
||||
solution_count_, WallTime()));
|
||||
foreach (IntVar v in variables_)
|
||||
{
|
||||
Console.WriteLine(
|
||||
String.Format(" {0} = {1}", v.ShortString(), Value(v)));
|
||||
}
|
||||
solution_count_++;
|
||||
}
|
||||
}
|
||||
|
||||
public int SolutionCount()
|
||||
{
|
||||
return solution_count_;
|
||||
}
|
||||
|
||||
private int solution_count_;
|
||||
private IntVar[] variables_;
|
||||
}
|
||||
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void MinimalCpSatAllSolutions()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
|
||||
// Adds a different constraint.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
VarArraySolutionPrinter cb =
|
||||
new VarArraySolutionPrinter(new IntVar[] {x, y, z});
|
||||
solver.SearchAllSolutions(model, cb);
|
||||
Console.WriteLine(String.Format("Number of solutions found: {0}",
|
||||
cb.SolutionCount()));
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
MinimalCpSatAllSolutions();
|
||||
}
|
||||
}
|
||||
@@ -15,7 +15,6 @@
|
||||
#include "ortools/sat/cp_model_solver.h"
|
||||
#include "ortools/sat/cp_model_utils.h"
|
||||
#include "ortools/sat/model.h"
|
||||
#include "ortools/sat/sat_parameters.pb.h"
|
||||
|
||||
namespace operations_research {
|
||||
namespace sat {
|
||||
|
||||
81
ortools/sat/samples/solve_with_intermediate_solutions.cs
Normal file
81
ortools/sat/samples/solve_with_intermediate_solutions.cs
Normal file
@@ -0,0 +1,81 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class VarArraySolutionPrinterWithObjective : CpSolverSolutionCallback
|
||||
{
|
||||
public VarArraySolutionPrinterWithObjective(IntVar[] variables)
|
||||
{
|
||||
variables_ = variables;
|
||||
}
|
||||
|
||||
public override void OnSolutionCallback()
|
||||
{
|
||||
{
|
||||
Console.WriteLine(String.Format("Solution #{0}: time = {1:F2} s",
|
||||
solution_count_, WallTime()));
|
||||
Console.WriteLine(
|
||||
String.Format(" objective value = {0}", ObjectiveValue()));
|
||||
foreach (IntVar v in variables_)
|
||||
{
|
||||
Console.WriteLine(
|
||||
String.Format(" {0} = {1}", v.ShortString(), Value(v)));
|
||||
}
|
||||
solution_count_++;
|
||||
}
|
||||
}
|
||||
|
||||
public int SolutionCount()
|
||||
{
|
||||
return solution_count_;
|
||||
}
|
||||
|
||||
private int solution_count_;
|
||||
private IntVar[] variables_;
|
||||
}
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void MinimalCpSatPrintIntermediateSolutions()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, 'x');
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, 'y');
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, 'z');
|
||||
|
||||
// Adds a different constraint.
|
||||
model.Add(x != y);
|
||||
|
||||
// Maximizes a linear combination of variables.
|
||||
model.Maximize(x + 2 * y + 3 * z);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
VarArraySolutionPrinterWithObjective cb =
|
||||
new VarArraySolutionPrinterWithObjective(new IntVar[] {x, y, z});
|
||||
solver.SearchAllSolutions(model, cb);
|
||||
Console.WriteLine(String.Format('Number of solutions found: {0}',
|
||||
cb.SolutionCount()));
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
MinimalCpSatPrintIntermediateSolutions();
|
||||
}
|
||||
}
|
||||
52
ortools/sat/samples/solve_with_time_limit.cs
Normal file
52
ortools/sat/samples/solve_with_time_limit.cs
Normal file
@@ -0,0 +1,52 @@
|
||||
// Copyright 2010-2017 Google
|
||||
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||
// you may not use this file except in compliance with the License.
|
||||
// You may obtain a copy of the License at
|
||||
//
|
||||
// http://www.apache.org/licenses/LICENSE-2.0
|
||||
//
|
||||
// Unless required by applicable law or agreed to in writing, software
|
||||
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
// See the License for the specific language governing permissions and
|
||||
// limitations under the License.
|
||||
|
||||
using System;
|
||||
using Google.OrTools.Sat;
|
||||
|
||||
public class CodeSamplesSat
|
||||
{
|
||||
static void MinimalCpSatWithTimeLimit()
|
||||
{
|
||||
// Creates the model.
|
||||
CpModel model = new CpModel();
|
||||
// Creates the variables.
|
||||
int num_vals = 3;
|
||||
|
||||
IntVar x = model.NewIntVar(0, num_vals - 1, "x");
|
||||
IntVar y = model.NewIntVar(0, num_vals - 1, "y");
|
||||
IntVar z = model.NewIntVar(0, num_vals - 1, "z");
|
||||
// Adds a different constraint.
|
||||
model.Add(x != y);
|
||||
|
||||
// Creates a solver and solves the model.
|
||||
CpSolver solver = new CpSolver();
|
||||
|
||||
// Adds a time limit. Parameters are stored as strings in the solver.
|
||||
solver.StringParameters = "max_time_in_seconds:10.0" ;
|
||||
|
||||
CpSolverStatus status = solver.Solve(model);
|
||||
|
||||
if (status == CpSolverStatus.Feasible)
|
||||
{
|
||||
Console.WriteLine("x = " + solver.Value(x));
|
||||
Console.WriteLine("y = " + solver.Value(y));
|
||||
Console.WriteLine("z = " + solver.Value(z));
|
||||
}
|
||||
}
|
||||
|
||||
static void Main()
|
||||
{
|
||||
MinimalCpSatWithTimeLimit();
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user