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#include <fstream>
#include "HCheckConfig.h"
#include "Highs.h"
#include "catch.hpp"
const bool dev_run = false;
const std::string basis_file = "adlittle.bas";
HighsBasis basis_data;
void testBasisReloadModel(Highs& highs, const bool from_file);
void testBasisRestart(Highs& highs, const bool from_file);
// No commas in test case name.
TEST_CASE("Basis-file", "[highs_basis_file]") {
HighsStatus return_status;
std::string model0_file =
std::string(HIGHS_DIR) + "/check/instances/adlittle.mps";
std::string model1_file =
std::string(HIGHS_DIR) + "/check/instances/avgas.mps";
Highs highs;
if (!dev_run) {
highs.setOptionValue("output_flag", false);
}
assert(model0_file != model1_file);
return_status = highs.readModel(model0_file);
REQUIRE(return_status == HighsStatus::kOk);
return_status = highs.run();
REQUIRE(return_status == HighsStatus::kOk);
return_status = highs.writeBasis(basis_file);
REQUIRE(return_status == HighsStatus::kOk);
return_status = highs.readBasis("Nobasis.bas");
REQUIRE(return_status == HighsStatus::kError);
// Check error return for some invalid basis files
std::string invalid_basis_file = "InvalidBasis.bas";
std::ofstream f;
// Write and read a file for unsupported HiGHS version
f.open(invalid_basis_file, std::ios::out);
f << "HiGHS v0" << std::endl;
f.close();
return_status = highs.readBasis(invalid_basis_file);
REQUIRE(return_status == HighsStatus::kError);
// Write and read a file for an invalid basis
f.open(invalid_basis_file, std::ios::out);
f << "HiGHS v1" << std::endl;
f << "None" << std::endl;
f.close();
return_status = highs.readBasis(invalid_basis_file);
REQUIRE(return_status == HighsStatus::kOk);
// Write and read a file for incompatible number of columns
f.open(invalid_basis_file, std::ios::out);
f << "HiGHS v1" << std::endl;
f << "Valid" << std::endl;
f << "# Columns " << highs.getNumCol() - 1 << std::endl;
f.close();
return_status = highs.readBasis(invalid_basis_file);
REQUIRE(return_status == HighsStatus::kError);
testBasisRestart(highs, true);
testBasisReloadModel(highs, true);
std::remove(basis_file.c_str());
std::remove(invalid_basis_file.c_str());
}
TEST_CASE("Basis-data", "[highs_basis_data]") {
HighsStatus return_status;
std::string model0_file =
std::string(HIGHS_DIR) + "/check/instances/adlittle.mps";
std::string model1_file =
std::string(HIGHS_DIR) + "/check/instances/avgas.mps";
Highs highs;
if (!dev_run) {
highs.setOptionValue("output_flag", false);
}
assert(model0_file != model1_file);
return_status = highs.readModel(model0_file);
REQUIRE(return_status == HighsStatus::kOk);
return_status = highs.run();
REQUIRE(return_status == HighsStatus::kOk);
basis_data = highs.getBasis();
REQUIRE(return_status == HighsStatus::kOk);
testBasisRestart(highs, false);
testBasisReloadModel(highs, false);
}
TEST_CASE("set-pathological-basis", "[highs_basis_data]") {
Highs highs;
highs.setOptionValue("output_flag", dev_run);
HighsBasis basis;
basis.clear();
highs.clearSolver();
highs.addCol(1.0, 0, 1, 0, nullptr, nullptr);
HighsInt index = 0;
double value = 1.0;
highs.addRow(0, 1, 1, &index, &value);
// Set up a basis with everything nonbasic. This will lead to
// basic_index being empty when passed to
// HFactor::setupGeneral. Previously this led to the creation of
// pointer &basic_index[0] that caused Windows failure referenced in
// #1129, and reported in #1166. However, now that
// basic_index.data() is used to create the pointer, there is no
// Windows failure. Within HFactor::setupGeneral and
// HFactor::build(), the empty list of basic variables is handled
// correctly - with a basis of logicals being created
basis.col_status.push_back(HighsBasisStatus::kLower);
basis.row_status.push_back(HighsBasisStatus::kLower);
highs.setBasis(basis);
highs.run();
REQUIRE(highs.getModelStatus() == HighsModelStatus::kOptimal);
basis.clear();
highs.clearModel();
highs.addCol(1.0, -kHighsInf, kHighsInf, 0, nullptr, nullptr);
basis.col_status.push_back(HighsBasisStatus::kBasic);
highs.setBasis(basis);
highs.run();
REQUIRE(highs.getModelStatus() == HighsModelStatus::kUnbounded);
}
TEST_CASE("Basis-no-basic", "[highs_basis_data]") {
Highs highs;
highs.setOptionValue("output_flag", dev_run);
highs.addCol(1.0, 0, 1, 0, nullptr, nullptr);
highs.addCol(-1.0, 0, 1, 0, nullptr, nullptr);
std::vector<HighsInt> index = {0, 1};
std::vector<double> value = {1.0, 2.0};
highs.addRow(0, 1, 2, index.data(), value.data());
value[0] = -1.0;
highs.addRow(0, 1, 2, index.data(), value.data());
// Make all variables basic. This is a 2-row version of
// set-pathological-basis
HighsBasis basis;
basis.col_status.push_back(HighsBasisStatus::kLower);
basis.col_status.push_back(HighsBasisStatus::kLower);
basis.row_status.push_back(HighsBasisStatus::kLower);
basis.row_status.push_back(HighsBasisStatus::kLower);
REQUIRE(highs.setBasis(basis) == HighsStatus::kOk);
highs.run();
if (dev_run) highs.writeSolution("", 1);
REQUIRE(highs.getInfo().objective_function_value == -0.5);
REQUIRE(highs.getModelStatus() == HighsModelStatus::kOptimal);
}
TEST_CASE("Basis-singular", "[highs_basis_data]") {
Highs highs;
highs.setOptionValue("output_flag", dev_run);
HighsLp lp;
lp.num_col_ = 2;
lp.num_row_ = 2;
lp.col_cost_ = {1, 1};
lp.col_lower_ = {0, 0};
lp.col_upper_ = {1, 1};
lp.row_lower_ = {1, 1};
lp.row_upper_ = {2, 2};
lp.a_matrix_.start_ = {0, 2, 4};
lp.a_matrix_.index_ = {0, 1, 0, 1};
lp.a_matrix_.value_ = {1, 2, 2, 4};
highs.passModel(lp);
HighsBasis basis;
REQUIRE(highs.setBasis(basis) == HighsStatus::kError);
basis.col_status = {HighsBasisStatus::kBasic, HighsBasisStatus::kBasic};
basis.row_status = {HighsBasisStatus::kLower, HighsBasisStatus::kLower};
REQUIRE(highs.setBasis(basis) == HighsStatus::kOk);
}
// No commas in test case name.
void testBasisReloadModel(Highs& highs, const bool from_file) {
// Checks that no simplex iterations are required if a saved optimal
// basis is used for the original LP after solving a different LP
HighsStatus return_status;
std::string model0_file =
std::string(HIGHS_DIR) + "/check/instances/adlittle.mps";
std::string model1_file =
std::string(HIGHS_DIR) + "/check/instances/avgas.mps";
// Clear the current model
highs.clearModel();
// Cannot load non-trivial basis for empty model
if (from_file) {
return_status = highs.readBasis(basis_file);
} else {
return_status = highs.setBasis(basis_data);
}
REQUIRE(return_status == HighsStatus::kError);
// Read and solve a different model
highs.readModel(model1_file);
highs.run();
// Cannot load basis for model of different size
if (from_file) {
return_status = highs.readBasis(basis_file);
} else {
return_status = highs.setBasis(basis_data);
}
REQUIRE(return_status == HighsStatus::kError);
// Clear and load original model and basis
highs.clearModel();
highs.readModel(model0_file);
if (from_file) {
return_status = highs.readBasis(basis_file);
} else {
return_status = highs.setBasis(basis_data);
}
REQUIRE(return_status == HighsStatus::kOk);
// Ensure that no simplex iterations are required when solved from
// the optimal basis
highs.run();
// highs.writeSolution("", kSolutionStyleRaw);
REQUIRE(highs.getInfo().simplex_iteration_count == 0);
}
void testBasisRestart(Highs& highs, const bool from_file) {
// Checks that no simplex iterations are required if a saved optimal
// basis is used for the original LP after changing a bound, solving
// - so that the internal basis changes - and then restoring the
// original LP
HighsStatus return_status;
// highs.writeSolution("", kSolutionStylePretty);
// Change a bound and resolve
const HighsLp& lp = highs.getLp();
const HighsBasis& basis = highs.getBasis();
const HighsSolution& solution = highs.getSolution();
const HighsInfo& info = highs.getInfo();
// Find the first basic variable
HighsInt iCol;
for (iCol = 0; iCol < lp.num_col_; iCol++) {
if (basis.col_status[iCol] == HighsBasisStatus::kBasic) break;
}
assert(iCol < lp.num_col_);
const HighsInt changeCol = iCol;
const double old_lower_bound = lp.col_lower_[changeCol];
const double old_upper_bound = lp.col_upper_[changeCol];
const double new_lower_bound = solution.col_value[changeCol] + 0.1;
highs.changeColBounds(changeCol, new_lower_bound, old_upper_bound);
return_status = highs.run();
if (dev_run) {
printf("After modifying lower bound of column %" HIGHSINT_FORMAT
" from %g to %g, solving the "
"LP "
"requires %" HIGHSINT_FORMAT " iterations and objective is %g\n",
changeCol, old_lower_bound, new_lower_bound,
info.simplex_iteration_count, highs.getObjectiveValue());
// highs.writeSolution("", kSolutionStylePretty);
}
// Make sure that the test requires iterations
assert(info.simplex_iteration_count > 0);
// Recover bound, load optimal basis and resolve
highs.changeColBounds(changeCol, old_lower_bound, old_upper_bound);
if (from_file) {
return_status = highs.readBasis(basis_file);
} else {
return_status = highs.setBasis(basis_data);
}
REQUIRE(return_status == HighsStatus::kOk);
return_status = highs.run();
REQUIRE(return_status == HighsStatus::kOk);
if (dev_run) {
printf("After restoring lower bound of column %" HIGHSINT_FORMAT
" from %g to %g, solving the "
"LP "
"requires %" HIGHSINT_FORMAT " iterations and objective is %g\n",
changeCol, new_lower_bound, old_lower_bound,
info.simplex_iteration_count, highs.getObjectiveValue());
}
REQUIRE(info.simplex_iteration_count == 0);
}
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