File: TestPdlp.cpp

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#include "HCheckConfig.h"
#include "Highs.h"
#include "SpecialLps.h"
#include "catch.hpp"

const bool dev_run = false;
const double double_equal_tolerance = 1e-3;

TEST_CASE("pdlp-distillation-lp", "[pdlp]") {
  SpecialLps special_lps;
  HighsLp lp;

  HighsModelStatus require_model_status;
  double optimal_objective;
  special_lps.distillationLp(lp, require_model_status, optimal_objective);

  Highs highs;
  highs.setOptionValue("output_flag", dev_run);
  const HighsInfo& info = highs.getInfo();
  const HighsOptions& options = highs.getOptions();
  REQUIRE(highs.passModel(lp) == HighsStatus::kOk);
  highs.setOptionValue("solver", kPdlpString);
  highs.setOptionValue("presolve", kHighsOffString);
  highs.setOptionValue("primal_feasibility_tolerance", 1e-4);
  highs.setOptionValue("dual_feasibility_tolerance", 1e-4);
  HighsStatus run_status = HighsStatus::kOk;
  // First pass uses (HiGHS default) termination for PDLP solver to
  // satisfy HiGHS primal/dual feasibility tolerances
  bool optimal = true;
  for (HighsInt k = 0; k < 2; k++) {
    if (k == 1) {
      // In second pass use native termination for PDLP solver,
      // failing HiGHS optimality test
      highs.setOptionValue("pdlp_native_termination", true);
      optimal = false;
    }
    run_status = highs.run();
    if (dev_run) highs.writeSolution("", 1);
    REQUIRE(std::abs(info.objective_function_value - optimal_objective) <
            double_equal_tolerance);
    if (optimal) {
      REQUIRE(run_status == HighsStatus::kOk);
      REQUIRE(highs.getModelStatus() == HighsModelStatus::kOptimal);
    } else {
      REQUIRE(run_status == HighsStatus::kWarning);
      REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnknown);
    }
  }
  HighsInt pdlp_iteration_count = highs.getInfo().pdlp_iteration_count;
  REQUIRE(pdlp_iteration_count > 0);
  REQUIRE(pdlp_iteration_count == 160);
  // Now run with half the iteration count as the limit to test
  // iteration limit termination

  highs.setOptionValue("pdlp_iteration_limit", pdlp_iteration_count / 2);
  run_status = highs.run();

  REQUIRE(run_status == HighsStatus::kWarning);
  REQUIRE(highs.getModelStatus() == HighsModelStatus::kIterationLimit);
  pdlp_iteration_count = highs.getInfo().pdlp_iteration_count;
  REQUIRE(pdlp_iteration_count > 0);
  REQUIRE(pdlp_iteration_count == 79);
}

TEST_CASE("pdlp-3d-lp", "[pdlp]") {
  SpecialLps special_lps;
  HighsLp lp;

  HighsModelStatus require_model_status;
  double optimal_objective;
  special_lps.ThreeDLp(lp, require_model_status, optimal_objective);

  Highs highs;
  highs.setOptionValue("output_flag", dev_run);
  const HighsInfo& info = highs.getInfo();
  const HighsOptions& options = highs.getOptions();
  REQUIRE(highs.passModel(lp) == HighsStatus::kOk);
  highs.setOptionValue("solver", kPdlpString);
  highs.setOptionValue("presolve", kHighsOffString);
  highs.setOptionValue("primal_feasibility_tolerance", 1e-4);
  highs.setOptionValue("dual_feasibility_tolerance", 1e-4);
  HighsStatus run_status = highs.run();
  if (dev_run) highs.writeSolution("", 1);
  REQUIRE(std::abs(info.objective_function_value - optimal_objective) <
          double_equal_tolerance);
  const bool not_optimal = false;
  if (not_optimal) {
    REQUIRE(run_status == HighsStatus::kWarning);
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnknown);
  } else {
    REQUIRE(run_status == HighsStatus::kOk);
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kOptimal);
  }
}

TEST_CASE("pdlp-boxed-row-lp", "[pdlp]") {
  HighsLp lp;
  lp.num_col_ = 2;
  lp.num_row_ = 2;
  lp.col_cost_ = {-1, -2};
  lp.col_lower_ = {0, 0};
  lp.col_upper_ = {inf, 6};
  lp.row_lower_ = {3, -4};
  lp.row_upper_ = {10, 2};
  lp.a_matrix_.start_ = {0, 2, 4};
  lp.a_matrix_.index_ = {0, 1, 0, 1};
  lp.a_matrix_.value_ = {1, 1, 1, -1};
  double optimal_objective = -16;
  Highs highs;
  highs.setOptionValue("output_flag", dev_run);
  const HighsInfo& info = highs.getInfo();
  REQUIRE(highs.passModel(lp) == HighsStatus::kOk);
  highs.setOptionValue("solver", kPdlpString);
  highs.setOptionValue("presolve", kHighsOffString);
  HighsStatus run_status = highs.run();
  if (dev_run) highs.writeSolution("", 1);
  REQUIRE(std::abs(info.objective_function_value - optimal_objective) <
          double_equal_tolerance);
  const bool not_optimal = false;
  if (not_optimal) {
    REQUIRE(run_status == HighsStatus::kWarning);
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnknown);
  } else {
    REQUIRE(run_status == HighsStatus::kOk);
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kOptimal);
  }
}

TEST_CASE("pdlp-infeasible-lp", "[pdlp]") {
  HighsLp lp;
  lp.num_col_ = 2;
  lp.num_row_ = 1;
  lp.col_cost_ = {-1, -2};
  lp.col_lower_ = {0, 0};
  lp.col_upper_ = {inf, inf};
  lp.row_lower_ = {-inf};
  lp.row_upper_ = {-1};
  lp.a_matrix_.start_ = {0, 1, 2};
  lp.a_matrix_.index_ = {0, 0};
  lp.a_matrix_.value_ = {1, 1};
  Highs highs;
  highs.setOptionValue("output_flag", dev_run);
  REQUIRE(highs.passModel(lp) == HighsStatus::kOk);
  highs.setOptionValue("solver", kPdlpString);
  highs.setOptionValue("presolve", kHighsOffString);
  REQUIRE(highs.run() == HighsStatus::kOk);
  if (dev_run) highs.writeSolution("", 1);
  REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnboundedOrInfeasible);
}

TEST_CASE("pdlp-unbounded-lp", "[pdlp]") {
  HighsLp lp;
  lp.num_col_ = 2;
  lp.num_row_ = 1;
  lp.col_cost_ = {-1, -2};
  lp.col_lower_ = {0, 0};
  lp.col_upper_ = {inf, inf};
  lp.row_lower_ = {1};
  lp.row_upper_ = {inf};
  lp.a_matrix_.start_ = {0, 1, 2};
  lp.a_matrix_.index_ = {0, 0};
  lp.a_matrix_.value_ = {1, 1};
  Highs highs;
  highs.setOptionValue("output_flag", dev_run);
  REQUIRE(highs.passModel(lp) == HighsStatus::kOk);
  highs.setOptionValue("solver", kPdlpString);
  highs.setOptionValue("presolve", kHighsOffString);
  REQUIRE(highs.run() == HighsStatus::kOk);
  if (dev_run) highs.writeSolution("", 1);
  const bool not_unbounded = false;
  if (not_unbounded) {
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnboundedOrInfeasible);
  } else {
    REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnbounded);
  }
}