diffn_cuts.h

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// Copyright 2010-2025 Google LLC
// 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.
 
#ifndef ORTOOLS_SAT_DIFFN_CUTS_H_
#define ORTOOLS_SAT_DIFFN_CUTS_H_
 
#include <string>
#include <vector>
 
#include "ortools/sat/cuts.h"
#include "ortools/sat/integer.h"
#include "ortools/sat/integer_base.h"
#include "ortools/sat/model.h"
#include "ortools/sat/no_overlap_2d_helper.h"
#include "ortools/sat/scheduling_helpers.h"
 
namespace operations_research {
namespace sat {
 
// Completion time cuts for the no_overlap_2d constraint. It actually generates
// the completion time cumulative cuts in both axis.
CutGenerator CreateNoOverlap2dCompletionTimeCutGenerator(
    NoOverlap2DConstraintHelper* helper, Model* model);
 
// Energetic cuts for the no_overlap_2d constraint.
//
// For a given set of rectangles, we compute the area of each rectangle
// and make sure their sum is less than the area of the bounding interval.
//
// If an interval is optional, it contributes
//    min_size_x * min_size_y * presence_literal
// amount of total area.
//
// If an interval is performed, we use the linear area formulation (if
// possible), or the McCormick relaxation of the size_x * size_y.
//
// The maximum area is the area of the bounding rectangle of each intervals
// at level 0.
CutGenerator CreateNoOverlap2dEnergyCutGenerator(
    NoOverlap2DConstraintHelper* helper, Model* model);
 
// Internal methods and data structures, useful for testing.
 
// Base event type for scheduling cuts.
struct DiffnBaseEvent {
  DiffnBaseEvent(int t, const SchedulingConstraintHelper* x_helper);
 
  // Cache of the intervals bound on the x direction.
  IntegerValue x_start_min;
  IntegerValue x_start_max;
  IntegerValue x_end_min;
  IntegerValue x_end_max;
  IntegerValue x_size_min;
  // Useful for no_overlap_2d or cumulative.
  IntegerValue y_min = IntegerValue(0);
  IntegerValue y_max = IntegerValue(0);
  IntegerValue y_size_min;
 
  // The energy min of this event.
  IntegerValue energy_min;
 
  // If non empty, a decomposed view of the energy of this event.
  // First value in each pair is x_size, second is y_size.
  std::vector<LiteralValueValue> decomposed_energy;
};
 
// Stores the event for a rectangle along the two axis x and y.
//   For a no_overlap constraint, y is always of size 1 between 0 and 1.
//   For a cumulative constraint, y is the demand that must be between 0 and
//       capacity_max.
//   For a no_overlap_2d constraint, y the other dimension of the rect.
struct DiffnCtEvent : DiffnBaseEvent {
  DiffnCtEvent(int t, const SchedulingConstraintHelper* x_helper);
 
  // The lp value of the end of the x interval.
  AffineExpression x_end;
  double x_lp_end;
 
  // Indicates if the events used the optional energy information from the
  // model.
  bool use_energy = false;
 
  // Indicates if the cut is lifted, that is if it includes tasks that are not
  // strictly contained in the current time window.
  bool lifted = false;
 
  // If we know that the size on y is fixed, we can use some heuristic to
  // compute the maximum subset sums under the capacity and use that instead
  // of the full capacity.
  bool y_size_is_fixed = false;
 
  std::string DebugString() const;
};
 
}  // namespace sat
}  // namespace operations_research
 
#endif  // ORTOOLS_SAT_DIFFN_CUTS_H_