This commit is contained in:
Laurent Perron
2022-10-10 17:21:40 +02:00
parent a25d93fcfa
commit c33e3a3bbe
3 changed files with 32 additions and 49 deletions

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@@ -434,7 +434,6 @@ cc_binary(
],
)
cc_binary(
name = "qap_sat",
srcs = ["qap_sat.cc"],

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@@ -11,8 +11,8 @@
// See the License for the specific language governing permissions and
// limitations under the License.
#include <limits>
#include <string>
#include <tuple>
#include <vector>
#include "absl/flags/flag.h"
@@ -30,40 +30,31 @@ ABSL_FLAG(std::string, params, "", "Specific params to use with CP-SAT.");
namespace operations_research {
namespace sat {
namespace {
// place_vars[f][l] contains the binary variable that decides whether to put
// factory f in location l.
std::vector<std::vector<BoolVar>> CreatePlaceVars(int n,
CpModelBuilder& cp_model) {
const BoolVar false_literal = cp_model.FalseVar();
void SolveQap() {
LOG(INFO) << "Reading QAP problem from '" << absl::GetFlag(FLAGS_input)
<< "'.";
QapProblem qap = ReadQapProblemOrDie(absl::GetFlag(FLAGS_input));
const int n = qap.weights.size();
CpModelBuilder cp_model;
// Create placement variables.
// place_vars[f][l] contains the binary variable that decides whether to put
// factory f in location l.
std::vector<std::vector<BoolVar>> place_vars;
place_vars.resize(n);
for (int f = 0; f < n; ++f) {
place_vars[f].assign(n, false_literal);
}
for (int f = 0; f < n; ++f) {
place_vars[f].resize(n);
for (int l = 0; l < n; ++l) {
place_vars[f][l] =
cp_model.NewBoolVar().WithName(absl::StrCat("place_", f, "_", l));
}
}
return place_vars;
}
void CreatePlacementConstraints(
const std::vector<std::vector<BoolVar>>& place_vars,
CpModelBuilder& cp_model) {
const int n = place_vars.size();
// Place each factory exactly once.
for (int f = 0; f < n; ++f) {
std::vector<BoolVar> tmp;
for (int l = 0; l < n; ++l) {
tmp.push_back(place_vars[f][l]);
}
cp_model.AddExactlyOne(tmp);
cp_model.AddExactlyOne(place_vars[f]);
}
// Occupy each location exactly once.
@@ -74,13 +65,9 @@ void CreatePlacementConstraints(
}
cp_model.AddExactlyOne(tmp);
}
}
void CreateObjective(const QapProblem& qap,
const std::vector<std::vector<BoolVar>>& place_vars,
CpModelBuilder& cp_model) {
const int n = place_vars.size();
// Create objective.
absl::flat_hash_map<std::tuple<int, int, int, int>, BoolVar> cache;
LinearExpr objective;
for (int f1 = 0; f1 < n; ++f1) {
for (int f2 = 0; f2 < n; ++f2) {
@@ -91,9 +78,19 @@ void CreateObjective(const QapProblem& qap,
if (l1 == l2) continue;
if (qap.distances[l1][l2] == 0) continue;
BoolVar product = cp_model.NewBoolVar();
cp_model.AddMultiplicationEquality(product, place_vars[f1][l1],
place_vars[f2][l2]);
const std::tuple<int, int, int, int> key =
f1 < f2 ? std::make_tuple(f1, f2, l1, l2)
: std::make_tuple(f2, f1, l2, l1);
BoolVar product;
const auto it = cache.find(key);
if (it == cache.end()) {
product = cp_model.NewBoolVar();
cp_model.AddMultiplicationEquality(product, place_vars[f1][l1],
place_vars[f2][l2]);
cache[key] = product;
} else {
product = it->second;
}
objective += product * qap.weights[f1][f2] * qap.distances[l1][l2];
}
@@ -108,20 +105,6 @@ void CreateObjective(const QapProblem& qap,
}
cp_model.Minimize(objective);
}
} // namespace
void SolveQap() {
LOG(INFO) << "Reading QAP problem from '" << absl::GetFlag(FLAGS_input)
<< "'.";
QapProblem qap = ReadQapProblemOrDie(absl::GetFlag(FLAGS_input));
const int n = qap.weights.size();
CpModelBuilder cp_model;
std::vector<std::vector<BoolVar>> place_vars = CreatePlaceVars(n, cp_model);
CreatePlacementConstraints(place_vars, cp_model);
CreateObjective(qap, place_vars, cp_model);
// Setup parameters.
SatParameters parameters;

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@@ -30,7 +30,8 @@ QapProblem ReadQapProblemOrDie(const std::string& filepath) {
int n = 0;
int k = 0;
for (const std::string& line : FileLines(filepath)) {
for (const std::string& line :
FileLines(filepath, FileLineIterator::REMOVE_LINEFEED)) {
const std::vector<std::string> tokens =
absl::StrSplit(line, ' ', absl::SkipEmpty());
if (tokens.empty()) continue;
@@ -49,7 +50,7 @@ QapProblem ReadQapProblemOrDie(const std::string& filepath) {
const int i = (k - 1) / n;
const int j = (k - 1) % n;
int64_t v = 0.0;
CHECK(absl::SimpleAtoi(token, &v));
CHECK(absl::SimpleAtoi(token, &v)) << "'" << token << "'";
qap_problem.weights[i][j] = v;
++k;
}