--- /dev/null
+/* A few tests for the maxmin library */
+
+/* Copyright (c) 2007-2023. The SimGrid Team. All rights reserved. */
+
+/* This program is free software; you can redistribute it and/or modify it
+ * under the terms of the license (GNU LGPL) which comes with this package. */
+
+#include "simgrid/s4u/Engine.hpp"
+#include "src/kernel/lmm/maxmin.hpp"
+#include "xbt/log.h"
+#include "xbt/module.h"
+#include "xbt/sysdep.h"
+#include <algorithm>
+#include <array>
+#include <cmath>
+
+XBT_LOG_NEW_DEFAULT_CATEGORY(test, "Messages specific for this example");
+
+namespace lmm = simgrid::kernel::lmm;
+
+#define PRINT_VAR(var) XBT_DEBUG(_XBT_STRINGIFY(var) " = %g", (var)->get_value())
+#define SHOW_EXPR(expr) XBT_DEBUG(_XBT_STRINGIFY(expr) " = %g", (expr))
+
+/* ______ */
+/* ==l1== L2 ==L3== */
+/* ------ */
+
+static void test1()
+{
+ double a = 1.0;
+ double b = 10.0;
+
+ lmm::MaxMin Sys(false);
+ lmm::Constraint* L1 = Sys.constraint_new(nullptr, a);
+ lmm::Constraint* L2 = Sys.constraint_new(nullptr, b);
+ lmm::Constraint* L3 = Sys.constraint_new(nullptr, a);
+
+ lmm::Variable* R_1_2_3 = Sys.variable_new(nullptr, 1.0, -1.0, 3);
+ lmm::Variable* R_1 = Sys.variable_new(nullptr, 1.0, -1.0, 1);
+ lmm::Variable* R_2 = Sys.variable_new(nullptr, 1.0, -1.0, 1);
+ lmm::Variable* R_3 = Sys.variable_new(nullptr, 1.0, -1.0, 1);
+
+ Sys.update_variable_penalty(R_1_2_3, 1.0);
+ Sys.update_variable_penalty(R_1, 1.0);
+ Sys.update_variable_penalty(R_2, 1.0);
+ Sys.update_variable_penalty(R_3, 1.0);
+
+ Sys.expand(L1, R_1_2_3, 1.0);
+ Sys.expand(L2, R_1_2_3, 1.0);
+ Sys.expand(L3, R_1_2_3, 1.0);
+
+ Sys.expand(L1, R_1, 1.0);
+ Sys.expand(L2, R_2, 1.0);
+ Sys.expand(L3, R_3, 1.0);
+
+ Sys.solve();
+
+ PRINT_VAR(R_1_2_3);
+ PRINT_VAR(R_1);
+ PRINT_VAR(R_2);
+ PRINT_VAR(R_3);
+
+ Sys.variable_free(R_1_2_3);
+ Sys.variable_free(R_1);
+ Sys.variable_free(R_2);
+ Sys.variable_free(R_3);
+}
+
+static void test2()
+{
+ lmm::MaxMin Sys(false);
+
+ lmm::Constraint* CPU1 = Sys.constraint_new(nullptr, 200.0);
+ lmm::Constraint* CPU2 = Sys.constraint_new(nullptr, 100.0);
+
+ lmm::Variable* T1 = Sys.variable_new(nullptr, 1.0, -1.0, 1);
+ lmm::Variable* T2 = Sys.variable_new(nullptr, 1.0, -1.0, 1);
+
+ Sys.update_variable_penalty(T1, 1.0);
+ Sys.update_variable_penalty(T2, 1.0);
+
+ Sys.expand(CPU1, T1, 1.0);
+ Sys.expand(CPU2, T2, 1.0);
+
+ Sys.solve();
+
+ PRINT_VAR(T1);
+ PRINT_VAR(T2);
+
+ Sys.variable_free(T1);
+ Sys.variable_free(T2);
+}
+
+static void test3()
+{
+ constexpr int flows = 11;
+ constexpr int links = 10;
+
+ std::array<std::array<double, flows + 5>, links + 5> A;
+ /* array to add the constraints of fictitious variables */
+ std::array<double, 15> B{{10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1}};
+
+ for (int i = 0; i < links + 5; i++) {
+ for (int j = 0; j < flows + 5; j++) {
+ A[i][j] = 0.0;
+ if (i >= links || j >= flows) {
+ A[i][j] = 0.0;
+ }
+ }
+ }
+
+ /*matrix that store the constraints/topology */
+ A[0][1] = A[0][7] = 1.0;
+ A[1][1] = A[1][7] = A[1][8] = 1.0;
+ A[2][1] = A[2][8] = 1.0;
+ A[3][8] = 1.0;
+ A[4][0] = A[4][3] = A[4][9] = 1.0;
+ A[5][0] = A[5][3] = A[5][4] = A[5][9] = 1.0;
+ A[6][0] = A[6][4] = A[6][9] = A[6][10] = 1.0;
+ A[7][2] = A[7][4] = A[7][6] = A[7][9] = A[7][10] = 1.0;
+ A[8][2] = A[8][10] = 1.0;
+ A[9][5] = A[9][6] = A[9][9] = 1.0;
+ A[10][11] = 1.0;
+ A[11][12] = 1.0;
+ A[12][13] = 1.0;
+ A[13][14] = 1.0;
+ A[14][15] = 1.0;
+
+ lmm::MaxMin Sys(false);
+
+ /* Creates the constraints */
+ std::array<lmm::Constraint*, 15> tmp_cnst;
+ for (int i = 0; i < 15; i++)
+ tmp_cnst[i] = Sys.constraint_new(nullptr, B[i]);
+
+ /* Creates the variables */
+ std::array<lmm::Variable*, 16> tmp_var;
+ for (int j = 0; j < 16; j++) {
+ tmp_var[j] = Sys.variable_new(nullptr, 1.0, -1.0, 15);
+ Sys.update_variable_penalty(tmp_var[j], 1.0);
+ }
+
+ /* Link constraints and variables */
+ for (int i = 0; i < 15; i++)
+ for (int j = 0; j < 16; j++)
+ if (A[i][j] != 0.0)
+ Sys.expand(tmp_cnst[i], tmp_var[j], 1.0);
+
+ Sys.solve();
+
+ for (int j = 0; j < 16; j++)
+ PRINT_VAR(tmp_var[j]);
+
+ for (int j = 0; j < 16; j++)
+ Sys.variable_free(tmp_var[j]);
+}
+
+int main(int argc, char** argv)
+{
+ simgrid::s4u::Engine e(&argc, argv);
+ XBT_INFO("***** Test 1");
+ test1();
+
+ XBT_INFO("***** Test 2");
+ test2();
+
+ XBT_INFO("***** Test 3");
+ test3();
+
+ return 0;
+}
