1 /* A few tests for the maxmin library */
3 /* Copyright (c) 2007-2018. The SimGrid Team. All rights reserved. */
5 /* This program is free software; you can redistribute it and/or modify it
6 * under the terms of the license (GNU LGPL) which comes with this package. */
8 #include "simgrid/msg.h"
9 #include "src/kernel/lmm/maxmin.hpp"
10 #include "src/surf/surf_interface.hpp"
12 #include "xbt/module.h"
13 #include "xbt/sysdep.h"
17 XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test, "Messages specific for surf example");
19 using namespace simgrid::surf;
21 #define PRINT_VAR(var) XBT_DEBUG(#var " = %g", (var)->get_value())
22 #define SHOW_EXPR(expr) XBT_DEBUG(#expr " = %g",expr)
25 /* ==l1== L2 ==L3== */
28 enum method_t { MAXMIN, LAGRANGE_RENO, LAGRANGE_VEGAS };
30 static double dichotomy(double func(double), double min, double max, double min_error)
32 double overall_error = 2 * min_error;
34 double min_func = func(min);
35 double max_func = func(max);
37 if ((min_func > 0 && max_func > 0))
39 if ((min_func < 0 && max_func < 0))
41 if ((min_func > 0 && max_func < 0))
46 while (overall_error > min_error) {
47 SHOW_EXPR(overall_error);
48 xbt_assert(min_func <= 0 || max_func <= 0);
49 xbt_assert(min_func >= 0 || max_func >= 0);
50 xbt_assert(min_func <= 0 || max_func >= 0);
57 double middle = (max + min) / 2.0;
58 if (fabs(min - middle) < 1e-12 || fabs(max - middle) < 1e-12) {
61 double middle_func = func(middle);
63 SHOW_EXPR(middle_func);
65 if (middle_func < 0) {
67 min_func = middle_func;
68 overall_error = max_func - middle_func;
69 } else if (middle_func > 0) {
71 max_func = middle_func;
72 overall_error = middle_func - min_func;
77 return ((min + max) / 2.0);
82 static double diff_lagrange_test_1(double x)
84 return -(3 / (1 + 3 * x * x / 2) - 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
85 3 / (2 * (3 * (b_test_1 - a_test_1 + x) * (b_test_1 - a_test_1 + x) / 2 + 1)));
88 static void test1(method_t method)
93 if (method == LAGRANGE_VEGAS)
94 set_default_protocol_function(simgrid::kernel::lmm::func_vegas_f, simgrid::kernel::lmm::func_vegas_fp,
95 simgrid::kernel::lmm::func_vegas_fpi);
96 else if (method == LAGRANGE_RENO)
97 set_default_protocol_function(simgrid::kernel::lmm::func_reno_f, simgrid::kernel::lmm::func_reno_fpi,
98 simgrid::kernel::lmm::func_reno_fpi);
100 simgrid::kernel::lmm::System* Sys = new simgrid::kernel::lmm::System(true);
101 simgrid::kernel::lmm::Constraint* L1 = Sys->constraint_new(nullptr, a);
102 simgrid::kernel::lmm::Constraint* L2 = Sys->constraint_new(nullptr, b);
103 simgrid::kernel::lmm::Constraint* L3 = Sys->constraint_new(nullptr, a);
105 simgrid::kernel::lmm::Variable* R_1_2_3 = Sys->variable_new(nullptr, 1.0, -1.0, 3);
106 simgrid::kernel::lmm::Variable* R_1 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
107 simgrid::kernel::lmm::Variable* R_2 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
108 simgrid::kernel::lmm::Variable* R_3 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
110 Sys->update_variable_weight(R_1_2_3, 1.0);
111 Sys->update_variable_weight(R_1, 1.0);
112 Sys->update_variable_weight(R_2, 1.0);
113 Sys->update_variable_weight(R_3, 1.0);
115 Sys->expand(L1, R_1_2_3, 1.0);
116 Sys->expand(L2, R_1_2_3, 1.0);
117 Sys->expand(L3, R_1_2_3, 1.0);
119 Sys->expand(L1, R_1, 1.0);
120 Sys->expand(L2, R_2, 1.0);
121 Sys->expand(L3, R_3, 1.0);
123 if (method == MAXMIN) {
127 if (method == LAGRANGE_VEGAS) {
128 x = 3 * a / 4 - 3 * b / 8 + sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
129 /* Computed with mupad and D_f=1.0 */
136 } else if (method == LAGRANGE_RENO) {
139 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
146 xbt_die( "Invalid method");
151 double max_deviation = 0.0;
152 max_deviation = std::max(max_deviation, fabs(R_1->get_value() - x));
153 max_deviation = std::max(max_deviation, fabs(R_3->get_value() - x));
154 max_deviation = std::max(max_deviation, fabs(R_2->get_value() - (b - a + x)));
155 max_deviation = std::max(max_deviation, fabs(R_1_2_3->get_value() - (a - x)));
157 if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
158 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
159 XBT_WARN("Found x = %1.20f", x);
160 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x, R_1->get_value() - x);
161 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f", b - a + x, R_2->get_value() - (b - a + x));
162 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x, R_3->get_value() - x);
163 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f", a - x, R_1_2_3->get_value() - (a - x));
172 Sys->variable_free(R_1_2_3);
173 Sys->variable_free(R_1);
174 Sys->variable_free(R_2);
175 Sys->variable_free(R_3);
179 static void test2(method_t method)
181 if (method == LAGRANGE_VEGAS)
182 set_default_protocol_function(simgrid::kernel::lmm::func_vegas_f, simgrid::kernel::lmm::func_vegas_fp,
183 simgrid::kernel::lmm::func_vegas_fpi);
184 if (method == LAGRANGE_RENO)
185 set_default_protocol_function(simgrid::kernel::lmm::func_reno_f, simgrid::kernel::lmm::func_reno_fp,
186 simgrid::kernel::lmm::func_reno_fpi);
188 simgrid::kernel::lmm::System* Sys = new simgrid::kernel::lmm::System(true);
189 simgrid::kernel::lmm::Constraint* CPU1 = Sys->constraint_new(nullptr, 200.0);
190 simgrid::kernel::lmm::Constraint* CPU2 = Sys->constraint_new(nullptr, 100.0);
192 simgrid::kernel::lmm::Variable* T1 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
193 simgrid::kernel::lmm::Variable* T2 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
195 Sys->update_variable_weight(T1, 1.0);
196 Sys->update_variable_weight(T2, 1.0);
198 Sys->expand(CPU1, T1, 1.0);
199 Sys->expand(CPU2, T2, 1.0);
201 if (method == MAXMIN) {
203 } else if (method == LAGRANGE_VEGAS || method == LAGRANGE_RENO) {
206 xbt_die("Invalid method");
212 Sys->variable_free(T1);
213 Sys->variable_free(T2);
217 static void test3(method_t method)
222 double** A = new double*[links + 5];
223 /* array to add the constraints of fictitious variables */
224 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1 };
226 for (int i = 0; i < links + 5; i++) {
227 A[i] = new double[flows + 5];
228 for (int j = 0; j < flows + 5; j++) {
231 if (i >= links || j >= flows) {
237 /*matrix that store the constraints/topology */
238 A[0][1] = A[0][7] = 1.0;
239 A[1][1] = A[1][7] = A[1][8] = 1.0;
240 A[2][1] = A[2][8] = 1.0;
242 A[4][0] = A[4][3] = A[4][9] = 1.0;
243 A[5][0] = A[5][3] = A[5][4] = A[5][9] = 1.0;
244 A[6][0] = A[6][4] = A[6][9] = A[6][10] = 1.0;
245 A[7][2] = A[7][4] = A[7][6] = A[7][9] = A[7][10] = 1.0;
246 A[8][2] = A[8][10] = 1.0;
247 A[9][5] = A[9][6] = A[9][9] = 1.0;
254 if (method == LAGRANGE_VEGAS)
255 set_default_protocol_function(simgrid::kernel::lmm::func_vegas_f, simgrid::kernel::lmm::func_vegas_fp,
256 simgrid::kernel::lmm::func_vegas_fpi);
257 if (method == LAGRANGE_RENO)
258 set_default_protocol_function(simgrid::kernel::lmm::func_reno_f, simgrid::kernel::lmm::func_reno_fp,
259 simgrid::kernel::lmm::func_reno_fpi);
261 simgrid::kernel::lmm::System* Sys = new simgrid::kernel::lmm::System(true);
263 /* Creates the constraints */
264 simgrid::kernel::lmm::Constraint** tmp_cnst = new simgrid::kernel::lmm::Constraint*[15];
265 for (int i = 0; i < 15; i++)
266 tmp_cnst[i] = Sys->constraint_new(nullptr, B[i]);
268 /* Creates the variables */
269 simgrid::kernel::lmm::Variable** tmp_var = new simgrid::kernel::lmm::Variable*[16];
270 for (int j = 0; j < 16; j++) {
271 tmp_var[j] = Sys->variable_new(nullptr, 1.0, -1.0, 15);
272 Sys->update_variable_weight(tmp_var[j], 1.0);
275 /* Link constraints and variables */
276 for (int i = 0; i < 15; i++)
277 for (int j = 0; j < 16; j++)
279 Sys->expand(tmp_cnst[i], tmp_var[j], 1.0);
281 if (method == MAXMIN) {
283 } else if (method == LAGRANGE_VEGAS) {
285 } else if (method == LAGRANGE_RENO) {
288 xbt_die("Invalid method");
291 for (int j = 0; j < 16; j++)
292 PRINT_VAR(tmp_var[j]);
294 for (int j = 0; j < 16; j++)
295 Sys->variable_free(tmp_var[j]);
299 for (int i = 0; i < links + 5; i++)
304 int main(int argc, char** argv)
306 MSG_init(&argc, argv);
307 XBT_INFO("***** Test 1 (Max-Min)");
309 XBT_INFO("***** Test 1 (Lagrange - Vegas)");
310 test1(LAGRANGE_VEGAS);
311 XBT_INFO("***** Test 1 (Lagrange - Reno)");
312 test1(LAGRANGE_RENO);
314 XBT_INFO("***** Test 2 (Max-Min)");
316 XBT_INFO("***** Test 2 (Lagrange - Vegas)");
317 test2(LAGRANGE_VEGAS);
318 XBT_INFO("***** Test 2 (Lagrange - Reno)");
319 test2(LAGRANGE_RENO);
321 XBT_INFO("***** Test 3 (Max-Min)");
323 XBT_INFO("***** Test 3 (Lagrange - Vegas)");
324 test3(LAGRANGE_VEGAS);
325 XBT_INFO("***** Test 3 (Lagrange - Reno)");
326 test3(LAGRANGE_RENO);