1 /* A few tests for the maxmin library */
3 /* Copyright (c) 2007-2015. The SimGrid Team.
4 * All rights reserved. */
6 /* This program is free software; you can redistribute it and/or modify it
7 * under the terms of the license (GNU LGPL) which comes with this package. */
9 #include "xbt/sysdep.h"
10 #include "surf/maxmin.h"
12 #include "xbt/module.h"
15 XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test, "Messages specific for surf example");
17 #define PRINT_VAR(var) XBT_DEBUG(#var " = %g",lmm_variable_getvalue(var));
18 #define SHOW_EXPR(expr) XBT_DEBUG(#expr " = %g",expr);
21 /* ==l1== L2 ==L3== */
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 if ((min_func > 0 && max_func > 0) || (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
50 } //TODO replace by xbt_assert
57 double middle = (max + min) / 2.0;
58 if ((min == middle) || (max == middle)) {
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)
90 lmm_system_t Sys = NULL;
91 lmm_constraint_t L1 = NULL;
92 lmm_constraint_t L2 = NULL;
93 lmm_constraint_t L3 = NULL;
95 lmm_variable_t R_1_2_3 = NULL;
96 lmm_variable_t R_1 = NULL;
97 lmm_variable_t R_2 = NULL;
98 lmm_variable_t R_3 = NULL;
100 double a = 1.0, b = 10.0;
102 if (method == LAGRANGE_VEGAS)
103 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
104 else if (method == LAGRANGE_RENO)
105 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi, func_reno_fpi);
107 Sys = lmm_system_new(1);
108 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
109 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
110 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
112 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
113 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
114 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
115 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
117 lmm_update_variable_weight(Sys, R_1_2_3, 1.0);
118 lmm_update_variable_weight(Sys, R_1, 1.0);
119 lmm_update_variable_weight(Sys, R_2, 1.0);
120 lmm_update_variable_weight(Sys, R_3, 1.0);
122 lmm_expand(Sys, L1, R_1_2_3, 1.0);
123 lmm_expand(Sys, L2, R_1_2_3, 1.0);
124 lmm_expand(Sys, L3, R_1_2_3, 1.0);
126 lmm_expand(Sys, L1, R_1, 1.0);
127 lmm_expand(Sys, L2, R_2, 1.0);
128 lmm_expand(Sys, L3, R_3, 1.0);
130 if (method == MAXMIN) {
132 } else if (method == LAGRANGE_VEGAS) {
133 double x = 3 * a / 4 - 3 * b / 8 + sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
134 /* Computed with mupad and D_f=1.0 */
135 double max_deviation = 0.0;
145 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
146 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
147 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
148 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
150 if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
151 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
152 XBT_WARN("Found x = %1.20f", x);
153 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x, lmm_variable_getvalue(R_1) - x);
154 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f", b - a + x,
155 lmm_variable_getvalue(R_2) - (b - a + x));
156 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x, lmm_variable_getvalue(R_3) - x);
157 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f", a - x,
158 lmm_variable_getvalue(R_1_2_3) - (a - x));
160 } else if (method == LAGRANGE_RENO) {
162 double max_deviation = 0.0;
166 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
174 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
175 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
176 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
177 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
179 if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
180 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
181 XBT_WARN("Found x = %1.20f", x);
182 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x, lmm_variable_getvalue(R_1) - x);
183 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f", b - a + x,
184 lmm_variable_getvalue(R_2) - (b - a + x));
185 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x, lmm_variable_getvalue(R_3) - x);
186 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f", a - x,
187 lmm_variable_getvalue(R_1_2_3) - (a - x));
190 xbt_die( "Invalid method");
198 lmm_variable_free(Sys, R_1_2_3);
199 lmm_variable_free(Sys, R_1);
200 lmm_variable_free(Sys, R_2);
201 lmm_variable_free(Sys, R_3);
202 lmm_system_free(Sys);
205 static void test2(method_t method)
207 lmm_system_t Sys = NULL;
208 lmm_constraint_t CPU1 = NULL;
209 lmm_constraint_t CPU2 = NULL;
211 lmm_variable_t T1 = NULL;
212 lmm_variable_t T2 = NULL;
214 if (method == LAGRANGE_VEGAS)
215 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
216 else if (method == LAGRANGE_RENO)
217 lmm_set_default_protocol_function(func_reno_f, func_reno_fp, func_reno_fpi);
219 Sys = lmm_system_new(1);
220 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
221 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
223 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
224 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
226 lmm_update_variable_weight(Sys, T1, 1.0);
227 lmm_update_variable_weight(Sys, T2, 1.0);
229 lmm_expand(Sys, CPU1, T1, 1.0);
230 lmm_expand(Sys, CPU2, T2, 1.0);
232 if (method == MAXMIN) {
234 } else if (method == LAGRANGE_VEGAS) {
236 } else if (method == LAGRANGE_RENO) {
239 xbt_die("Invalid method");
245 lmm_variable_free(Sys, T1);
246 lmm_variable_free(Sys, T2);
247 lmm_system_free(Sys);
250 static void test3(method_t method)
260 lmm_system_t Sys = NULL;
261 lmm_constraint_t *tmp_cnst = NULL;
262 lmm_variable_t *tmp_var = NULL;
265 /*array to add the the constraints of fictitious variables */
266 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1 };
268 A = xbt_new0(double *, links + 5);
270 for (i = 0; i < links + 5; i++) {
271 A[i] = xbt_new0(double, flows + 5);
272 for (j = 0; j < flows + 5; j++) {
275 if (i >= links || j >= flows) {
281 /*matrix that store the constraints/topology */
282 A[0][1] = A[0][7] = 1.0;
283 A[1][1] = A[1][7] = A[1][8] = 1.0;
284 A[2][1] = A[2][8] = 1.0;
286 A[4][0] = A[4][3] = A[4][9] = 1.0;
287 A[5][0] = A[5][3] = A[5][4] = A[5][9] = 1.0;
288 A[6][0] = A[6][4] = A[6][9] = A[6][10] = 1.0;
289 A[7][2] = A[7][4] = A[7][6] = A[7][9] = A[7][10] = 1.0;
290 A[8][2] = A[8][10] = 1.0;
291 A[9][5] = A[9][6] = A[9][9] = 1.0;
298 if (method == LAGRANGE_VEGAS)
299 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
300 else if (method == LAGRANGE_RENO)
301 lmm_set_default_protocol_function(func_reno_f, func_reno_fp, func_reno_fpi);
303 Sys = lmm_system_new(1);
305 tmp_name = xbt_new0(char *, 31);
307 /* Creates the constraints */
308 tmp_cnst = xbt_new0(lmm_constraint_t, 15);
309 for (i = 0; i < 15; i++) {
310 tmp_name[i] = bprintf("C_%03d", i);
311 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
314 /* Creates the variables */
315 tmp_var = xbt_new0(lmm_variable_t, 16);
316 for (j = 0; j < 16; j++) {
317 tmp_name[i + j] = bprintf("X_%03d", j);
318 tmp_var[j] = lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
319 lmm_update_variable_weight(Sys, tmp_var[j], 1.0);
322 /* Link constraints and variables */
323 for (i = 0; i < 15; i++) {
324 for (j = 0; j < 16; j++) {
326 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
331 if (method == MAXMIN) {
333 } else if (method == LAGRANGE_VEGAS) {
335 } else if (method == LAGRANGE_RENO) {
338 xbt_die("Invalid method");
341 for (j = 0; j < 16; j++) {
342 PRINT_VAR(tmp_var[j]);
345 for (j = 0; j < 16; j++)
346 lmm_variable_free(Sys, tmp_var[j]);
349 for (i = 0; i < 31; i++)
350 xbt_free(tmp_name[i]);
352 lmm_system_free(Sys);
353 for (i = 0; i < links + 5; i++)
358 int main(int argc, char **argv)
360 xbt_init(&argc, argv);
362 XBT_INFO("***** Test 1 (Max-Min)");
364 XBT_INFO("***** Test 1 (Lagrange - Vegas)");
365 test1(LAGRANGE_VEGAS);
366 XBT_INFO("***** Test 1 (Lagrange - Reno)");
367 test1(LAGRANGE_RENO);
369 XBT_INFO("***** Test 2 (Max-Min)");
371 XBT_INFO("***** Test 2 (Lagrange - Vegas)");
372 test2(LAGRANGE_VEGAS);
373 XBT_INFO("***** Test 2 (Lagrange - Reno)");
374 test2(LAGRANGE_RENO);
376 XBT_INFO("***** Test 3 (Max-Min)");
378 XBT_INFO("***** Test 3 (Lagrange - Vegas)");
379 test3(LAGRANGE_VEGAS);
380 XBT_INFO("***** Test 3 (Lagrange - Reno)");
381 test3(LAGRANGE_RENO);