575 lines
21 KiB
C++
575 lines
21 KiB
C++
// Copyright 2010-2022 Google LLC
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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/sat/cp_model_utils.h"
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#include <cstdint>
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#include <cstdlib>
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#include <functional>
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#include <string>
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#include <vector>
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#include "absl/container/flat_hash_map.h"
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#include "ortools/base/logging.h"
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#include "ortools/base/stl_util.h"
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#include "ortools/sat/cp_model.pb.h"
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#include "ortools/util/sorted_interval_list.h"
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namespace operations_research {
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namespace sat {
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namespace {
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template <typename IntList>
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void AddIndices(const IntList& indices, std::vector<int>* output) {
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output->insert(output->end(), indices.begin(), indices.end());
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}
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} // namespace
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void SetToNegatedLinearExpression(const LinearExpressionProto& input_expr,
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LinearExpressionProto* output_negated_expr) {
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output_negated_expr->Clear();
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for (int i = 0; i < input_expr.vars_size(); ++i) {
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output_negated_expr->add_vars(NegatedRef(input_expr.vars(i)));
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output_negated_expr->add_coeffs(input_expr.coeffs(i));
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}
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output_negated_expr->set_offset(-input_expr.offset());
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}
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IndexReferences GetReferencesUsedByConstraint(const ConstraintProto& ct) {
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IndexReferences output;
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switch (ct.constraint_case()) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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AddIndices(ct.bool_or().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kBoolAnd:
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AddIndices(ct.bool_and().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kAtMostOne:
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AddIndices(ct.at_most_one().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kExactlyOne:
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AddIndices(ct.exactly_one().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kBoolXor:
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AddIndices(ct.bool_xor().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kIntDiv:
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AddIndices(ct.int_div().target().vars(), &output.variables);
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for (const LinearExpressionProto& expr : ct.int_div().exprs()) {
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AddIndices(expr.vars(), &output.variables);
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}
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break;
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case ConstraintProto::ConstraintCase::kIntMod:
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AddIndices(ct.int_mod().target().vars(), &output.variables);
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for (const LinearExpressionProto& expr : ct.int_mod().exprs()) {
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AddIndices(expr.vars(), &output.variables);
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}
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break;
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case ConstraintProto::ConstraintCase::kLinMax: {
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AddIndices(ct.lin_max().target().vars(), &output.variables);
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for (const LinearExpressionProto& expr : ct.lin_max().exprs()) {
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AddIndices(expr.vars(), &output.variables);
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}
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break;
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}
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case ConstraintProto::ConstraintCase::kIntProd:
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AddIndices(ct.int_prod().target().vars(), &output.variables);
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for (const LinearExpressionProto& expr : ct.int_prod().exprs()) {
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AddIndices(expr.vars(), &output.variables);
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}
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break;
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case ConstraintProto::ConstraintCase::kLinear:
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AddIndices(ct.linear().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kAllDiff:
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for (const LinearExpressionProto& expr : ct.all_diff().exprs()) {
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AddIndices(expr.vars(), &output.variables);
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}
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break;
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case ConstraintProto::ConstraintCase::kDummyConstraint:
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AddIndices(ct.dummy_constraint().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kElement:
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output.variables.push_back(ct.element().index());
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output.variables.push_back(ct.element().target());
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AddIndices(ct.element().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kCircuit:
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AddIndices(ct.circuit().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kRoutes:
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AddIndices(ct.routes().literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kInverse:
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AddIndices(ct.inverse().f_direct(), &output.variables);
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AddIndices(ct.inverse().f_inverse(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kReservoir:
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for (const LinearExpressionProto& time : ct.reservoir().time_exprs()) {
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AddIndices(time.vars(), &output.variables);
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}
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AddIndices(ct.reservoir().active_literals(), &output.literals);
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break;
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case ConstraintProto::ConstraintCase::kTable:
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AddIndices(ct.table().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kAutomaton:
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AddIndices(ct.automaton().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kInterval:
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AddIndices(ct.interval().start().vars(), &output.variables);
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AddIndices(ct.interval().size().vars(), &output.variables);
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AddIndices(ct.interval().end().vars(), &output.variables);
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap:
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap2D:
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break;
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case ConstraintProto::ConstraintCase::kCumulative:
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AddIndices(ct.cumulative().capacity().vars(), &output.variables);
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for (const LinearExpressionProto& demand : ct.cumulative().demands()) {
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AddIndices(demand.vars(), &output.variables);
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}
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break;
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case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
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break;
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}
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return output;
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}
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#define APPLY_TO_SINGULAR_FIELD(ct_name, field_name) \
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{ \
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int temp = ct->mutable_##ct_name()->field_name(); \
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f(&temp); \
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ct->mutable_##ct_name()->set_##field_name(temp); \
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}
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#define APPLY_TO_REPEATED_FIELD(ct_name, field_name) \
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{ \
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for (int& r : *ct->mutable_##ct_name()->mutable_##field_name()) f(&r); \
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}
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void ApplyToAllLiteralIndices(const std::function<void(int*)>& f,
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ConstraintProto* ct) {
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for (int& r : *ct->mutable_enforcement_literal()) f(&r);
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switch (ct->constraint_case()) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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APPLY_TO_REPEATED_FIELD(bool_or, literals);
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break;
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case ConstraintProto::ConstraintCase::kBoolAnd:
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APPLY_TO_REPEATED_FIELD(bool_and, literals);
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break;
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case ConstraintProto::ConstraintCase::kAtMostOne:
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APPLY_TO_REPEATED_FIELD(at_most_one, literals);
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break;
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case ConstraintProto::ConstraintCase::kExactlyOne:
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APPLY_TO_REPEATED_FIELD(exactly_one, literals);
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break;
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case ConstraintProto::ConstraintCase::kBoolXor:
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APPLY_TO_REPEATED_FIELD(bool_xor, literals);
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break;
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case ConstraintProto::ConstraintCase::kIntDiv:
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break;
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case ConstraintProto::ConstraintCase::kIntMod:
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break;
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case ConstraintProto::ConstraintCase::kLinMax:
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break;
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case ConstraintProto::ConstraintCase::kIntProd:
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break;
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case ConstraintProto::ConstraintCase::kLinear:
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break;
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case ConstraintProto::ConstraintCase::kAllDiff:
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break;
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case ConstraintProto::ConstraintCase::kDummyConstraint:
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break;
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case ConstraintProto::ConstraintCase::kElement:
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break;
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case ConstraintProto::ConstraintCase::kCircuit:
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APPLY_TO_REPEATED_FIELD(circuit, literals);
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break;
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case ConstraintProto::ConstraintCase::kRoutes:
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APPLY_TO_REPEATED_FIELD(routes, literals);
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break;
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case ConstraintProto::ConstraintCase::kInverse:
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break;
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case ConstraintProto::ConstraintCase::kReservoir:
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APPLY_TO_REPEATED_FIELD(reservoir, active_literals);
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break;
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case ConstraintProto::ConstraintCase::kTable:
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break;
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case ConstraintProto::ConstraintCase::kAutomaton:
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break;
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case ConstraintProto::ConstraintCase::kInterval:
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap:
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap2D:
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break;
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case ConstraintProto::ConstraintCase::kCumulative:
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break;
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case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
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break;
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}
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}
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void ApplyToAllVariableIndices(const std::function<void(int*)>& f,
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ConstraintProto* ct) {
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switch (ct->constraint_case()) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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break;
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case ConstraintProto::ConstraintCase::kBoolAnd:
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break;
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case ConstraintProto::ConstraintCase::kAtMostOne:
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break;
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case ConstraintProto::ConstraintCase::kExactlyOne:
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break;
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case ConstraintProto::ConstraintCase::kBoolXor:
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break;
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case ConstraintProto::ConstraintCase::kIntDiv:
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APPLY_TO_REPEATED_FIELD(int_div, target()->mutable_vars);
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for (int i = 0; i < ct->int_div().exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(int_div, exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kIntMod:
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APPLY_TO_REPEATED_FIELD(int_mod, target()->mutable_vars);
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for (int i = 0; i < ct->int_mod().exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(int_mod, exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kLinMax:
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APPLY_TO_REPEATED_FIELD(lin_max, target()->mutable_vars);
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for (int i = 0; i < ct->lin_max().exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(lin_max, exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kIntProd:
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APPLY_TO_REPEATED_FIELD(int_prod, target()->mutable_vars);
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for (int i = 0; i < ct->int_prod().exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(int_prod, exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kLinear:
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APPLY_TO_REPEATED_FIELD(linear, vars);
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break;
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case ConstraintProto::ConstraintCase::kAllDiff:
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for (int i = 0; i < ct->all_diff().exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(all_diff, exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kDummyConstraint:
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APPLY_TO_REPEATED_FIELD(dummy_constraint, vars);
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break;
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case ConstraintProto::ConstraintCase::kElement:
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APPLY_TO_SINGULAR_FIELD(element, index);
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APPLY_TO_SINGULAR_FIELD(element, target);
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APPLY_TO_REPEATED_FIELD(element, vars);
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break;
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case ConstraintProto::ConstraintCase::kCircuit:
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break;
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case ConstraintProto::ConstraintCase::kRoutes:
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break;
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case ConstraintProto::ConstraintCase::kInverse:
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APPLY_TO_REPEATED_FIELD(inverse, f_direct);
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APPLY_TO_REPEATED_FIELD(inverse, f_inverse);
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break;
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case ConstraintProto::ConstraintCase::kReservoir:
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for (int i = 0; i < ct->reservoir().time_exprs_size(); ++i) {
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APPLY_TO_REPEATED_FIELD(reservoir, time_exprs(i)->mutable_vars);
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}
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break;
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case ConstraintProto::ConstraintCase::kTable:
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APPLY_TO_REPEATED_FIELD(table, vars);
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break;
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case ConstraintProto::ConstraintCase::kAutomaton:
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APPLY_TO_REPEATED_FIELD(automaton, vars);
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break;
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case ConstraintProto::ConstraintCase::kInterval:
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APPLY_TO_REPEATED_FIELD(interval, start()->mutable_vars);
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APPLY_TO_REPEATED_FIELD(interval, size()->mutable_vars);
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APPLY_TO_REPEATED_FIELD(interval, end()->mutable_vars);
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap:
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap2D:
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break;
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case ConstraintProto::ConstraintCase::kCumulative:
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APPLY_TO_REPEATED_FIELD(cumulative, capacity()->mutable_vars);
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for (int i = 0; i < ct->cumulative().demands_size(); ++i) {
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for (int& r :
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*ct->mutable_cumulative()->mutable_demands(i)->mutable_vars()) {
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f(&r);
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}
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}
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break;
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case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
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break;
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}
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}
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void ApplyToAllIntervalIndices(const std::function<void(int*)>& f,
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ConstraintProto* ct) {
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switch (ct->constraint_case()) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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break;
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case ConstraintProto::ConstraintCase::kBoolAnd:
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break;
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case ConstraintProto::ConstraintCase::kAtMostOne:
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break;
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case ConstraintProto::ConstraintCase::kExactlyOne:
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break;
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case ConstraintProto::ConstraintCase::kBoolXor:
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break;
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case ConstraintProto::ConstraintCase::kIntDiv:
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break;
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case ConstraintProto::ConstraintCase::kIntMod:
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break;
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case ConstraintProto::ConstraintCase::kLinMax:
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break;
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case ConstraintProto::ConstraintCase::kIntProd:
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break;
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case ConstraintProto::ConstraintCase::kLinear:
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break;
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case ConstraintProto::ConstraintCase::kAllDiff:
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break;
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case ConstraintProto::ConstraintCase::kDummyConstraint:
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break;
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case ConstraintProto::ConstraintCase::kElement:
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break;
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case ConstraintProto::ConstraintCase::kCircuit:
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break;
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case ConstraintProto::ConstraintCase::kRoutes:
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break;
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case ConstraintProto::ConstraintCase::kInverse:
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break;
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case ConstraintProto::ConstraintCase::kReservoir:
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break;
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case ConstraintProto::ConstraintCase::kTable:
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break;
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case ConstraintProto::ConstraintCase::kAutomaton:
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break;
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case ConstraintProto::ConstraintCase::kInterval:
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap:
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APPLY_TO_REPEATED_FIELD(no_overlap, intervals);
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break;
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case ConstraintProto::ConstraintCase::kNoOverlap2D:
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APPLY_TO_REPEATED_FIELD(no_overlap_2d, x_intervals);
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APPLY_TO_REPEATED_FIELD(no_overlap_2d, y_intervals);
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break;
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case ConstraintProto::ConstraintCase::kCumulative:
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APPLY_TO_REPEATED_FIELD(cumulative, intervals);
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break;
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case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
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break;
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}
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}
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#undef APPLY_TO_SINGULAR_FIELD
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#undef APPLY_TO_REPEATED_FIELD
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std::string ConstraintCaseName(
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ConstraintProto::ConstraintCase constraint_case) {
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switch (constraint_case) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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return "kBoolOr";
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case ConstraintProto::ConstraintCase::kBoolAnd:
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return "kBoolAnd";
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case ConstraintProto::ConstraintCase::kAtMostOne:
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return "kAtMostOne";
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case ConstraintProto::ConstraintCase::kExactlyOne:
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return "kExactlyOne";
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case ConstraintProto::ConstraintCase::kBoolXor:
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return "kBoolXor";
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case ConstraintProto::ConstraintCase::kIntDiv:
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return "kIntDiv";
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case ConstraintProto::ConstraintCase::kIntMod:
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return "kIntMod";
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case ConstraintProto::ConstraintCase::kLinMax:
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return "kLinMax";
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case ConstraintProto::ConstraintCase::kIntProd:
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return "kIntProd";
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case ConstraintProto::ConstraintCase::kLinear:
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return "kLinear";
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case ConstraintProto::ConstraintCase::kAllDiff:
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return "kAllDiff";
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case ConstraintProto::ConstraintCase::kDummyConstraint:
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return "kDummyConstraint";
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case ConstraintProto::ConstraintCase::kElement:
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return "kElement";
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case ConstraintProto::ConstraintCase::kCircuit:
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return "kCircuit";
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case ConstraintProto::ConstraintCase::kRoutes:
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return "kRoutes";
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case ConstraintProto::ConstraintCase::kInverse:
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return "kInverse";
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case ConstraintProto::ConstraintCase::kReservoir:
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return "kReservoir";
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case ConstraintProto::ConstraintCase::kTable:
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return "kTable";
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case ConstraintProto::ConstraintCase::kAutomaton:
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return "kAutomaton";
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case ConstraintProto::ConstraintCase::kInterval:
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return "kInterval";
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case ConstraintProto::ConstraintCase::kNoOverlap:
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return "kNoOverlap";
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case ConstraintProto::ConstraintCase::kNoOverlap2D:
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return "kNoOverlap2D";
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case ConstraintProto::ConstraintCase::kCumulative:
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return "kCumulative";
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case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
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return "kEmpty";
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}
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}
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std::vector<int> UsedVariables(const ConstraintProto& ct) {
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IndexReferences references = GetReferencesUsedByConstraint(ct);
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for (int& ref : references.variables) {
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ref = PositiveRef(ref);
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}
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for (const int lit : references.literals) {
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references.variables.push_back(PositiveRef(lit));
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}
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for (const int lit : ct.enforcement_literal()) {
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references.variables.push_back(PositiveRef(lit));
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}
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gtl::STLSortAndRemoveDuplicates(&references.variables);
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return references.variables;
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}
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std::vector<int> UsedIntervals(const ConstraintProto& ct) {
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std::vector<int> used_intervals;
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switch (ct.constraint_case()) {
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case ConstraintProto::ConstraintCase::kBoolOr:
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break;
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case ConstraintProto::ConstraintCase::kBoolAnd:
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break;
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case ConstraintProto::ConstraintCase::kAtMostOne:
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break;
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case ConstraintProto::ConstraintCase::kExactlyOne:
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break;
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case ConstraintProto::ConstraintCase::kBoolXor:
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break;
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case ConstraintProto::ConstraintCase::kIntDiv:
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break;
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case ConstraintProto::ConstraintCase::kIntMod:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kLinMax:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kIntProd:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kLinear:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kAllDiff:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kDummyConstraint:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kElement:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kCircuit:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kRoutes:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kInverse:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kReservoir:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kTable:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kAutomaton:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kInterval:
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kNoOverlap:
|
|
AddIndices(ct.no_overlap().intervals(), &used_intervals);
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kNoOverlap2D:
|
|
AddIndices(ct.no_overlap_2d().x_intervals(), &used_intervals);
|
|
AddIndices(ct.no_overlap_2d().y_intervals(), &used_intervals);
|
|
break;
|
|
case ConstraintProto::ConstraintCase::kCumulative:
|
|
AddIndices(ct.cumulative().intervals(), &used_intervals);
|
|
break;
|
|
case ConstraintProto::ConstraintCase::CONSTRAINT_NOT_SET:
|
|
break;
|
|
}
|
|
gtl::STLSortAndRemoveDuplicates(&used_intervals);
|
|
return used_intervals;
|
|
}
|
|
|
|
int64_t ComputeInnerObjective(const CpObjectiveProto& objective,
|
|
const CpSolverResponse& response) {
|
|
int64_t objective_value = 0;
|
|
for (int i = 0; i < objective.vars_size(); ++i) {
|
|
int64_t coeff = objective.coeffs(i);
|
|
const int ref = objective.vars(i);
|
|
const int var = PositiveRef(ref);
|
|
if (!RefIsPositive(ref)) coeff = -coeff;
|
|
objective_value += coeff * response.solution()[var];
|
|
}
|
|
return objective_value;
|
|
}
|
|
|
|
bool ExpressionContainsSingleRef(const LinearExpressionProto& expr) {
|
|
return expr.offset() == 0 && expr.vars_size() == 1 &&
|
|
std::abs(expr.coeffs(0)) == 1;
|
|
}
|
|
|
|
bool ExpressionIsAffine(const LinearExpressionProto& expr) {
|
|
return expr.vars_size() <= 1;
|
|
}
|
|
|
|
// Returns the reference the expression can be reduced to. It will DCHECK that
|
|
// ExpressionContainsSingleRef(expr) is true.
|
|
int GetSingleRefFromExpression(const LinearExpressionProto& expr) {
|
|
DCHECK(ExpressionContainsSingleRef(expr));
|
|
return expr.coeffs(0) == 1 ? expr.vars(0) : NegatedRef(expr.vars(0));
|
|
}
|
|
|
|
void AddLinearExpressionToLinearConstraint(const LinearExpressionProto& expr,
|
|
int64_t coefficient,
|
|
LinearConstraintProto* linear) {
|
|
for (int i = 0; i < expr.vars_size(); ++i) {
|
|
linear->add_vars(expr.vars(i));
|
|
linear->add_coeffs(expr.coeffs(i) * coefficient);
|
|
}
|
|
DCHECK(!linear->domain().empty());
|
|
const int64_t shift = coefficient * expr.offset();
|
|
if (shift != 0) {
|
|
FillDomainInProto(ReadDomainFromProto(*linear).AdditionWith(Domain(-shift)),
|
|
linear);
|
|
}
|
|
}
|
|
|
|
bool LinearExpressionProtosAreEqual(const LinearExpressionProto& a,
|
|
const LinearExpressionProto& b,
|
|
int64_t b_scaling) {
|
|
if (a.vars_size() != b.vars_size()) return false;
|
|
if (a.offset() != b.offset() * b_scaling) return false;
|
|
absl::flat_hash_map<int, int64_t> coeffs;
|
|
for (int i = 0; i < a.vars_size(); ++i) {
|
|
coeffs[a.vars(i)] += a.coeffs(i);
|
|
coeffs[b.vars(i)] += -b.coeffs(i) * b_scaling;
|
|
}
|
|
|
|
for (const auto [var, coeff] : coeffs) {
|
|
if (coeff != 0) return false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
} // namespace sat
|
|
} // namespace operations_research
|