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,
16 "Messages specific for surf example");
18 #define PRINT_VAR(var) XBT_DEBUG(#var " = %g",lmm_variable_getvalue(var));
19 #define SHOW_EXPR(expr) XBT_DEBUG(#expr " = %g",expr);
23 /* ==l1== L2 ==L3== */
33 static double dichotomy(double func(double), double min, double max,
37 double min_func, max_func, middle_func;
39 double overall_error = 2 * min_error;
44 if ((min_func > 0 && max_func > 0))
46 if ((min_func < 0 && max_func < 0))
48 if ((min_func > 0 && max_func < 0))
53 while (overall_error > min_error) {
54 SHOW_EXPR(overall_error);
55 if ((min_func > 0 && max_func > 0) ||
56 (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
65 middle = (max + min) / 2.0;
66 if ((min == middle) || (max == middle)) {
69 middle_func = func(middle);
71 SHOW_EXPR(middle_func);
73 if (middle_func < 0) {
75 min_func = middle_func;
76 overall_error = max_func - middle_func;
77 } else if (middle_func > 0) {
79 max_func = middle_func;
80 overall_error = middle_func - min_func;
85 return ((min + max) / 2.0);
90 static double diff_lagrange_test_1(double x)
92 return -(3 / (1 + 3 * x * x / 2) -
93 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
95 (3 * (b_test_1 - a_test_1 + x) *
96 (b_test_1 - a_test_1 + x) / 2 + 1)));
99 void test1(method_t method);
100 void test1(method_t method)
102 lmm_system_t Sys = NULL;
103 lmm_constraint_t L1 = NULL;
104 lmm_constraint_t L2 = NULL;
105 lmm_constraint_t L3 = NULL;
107 lmm_variable_t R_1_2_3 = NULL;
108 lmm_variable_t R_1 = NULL;
109 lmm_variable_t R_2 = NULL;
110 lmm_variable_t R_3 = NULL;
112 double a = 1.0, b = 10.0;
114 if (method == LAGRANGE_VEGAS)
115 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
117 else if (method == LAGRANGE_RENO)
118 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
121 Sys = lmm_system_new(1);
122 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
123 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
124 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
126 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
127 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
128 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
129 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
131 lmm_update_variable_weight(Sys, R_1_2_3, 1.0);
132 lmm_update_variable_weight(Sys, R_1, 1.0);
133 lmm_update_variable_weight(Sys, R_2, 1.0);
134 lmm_update_variable_weight(Sys, R_3, 1.0);
136 lmm_expand(Sys, L1, R_1_2_3, 1.0);
137 lmm_expand(Sys, L2, R_1_2_3, 1.0);
138 lmm_expand(Sys, L3, R_1_2_3, 1.0);
140 lmm_expand(Sys, L1, R_1, 1.0);
142 lmm_expand(Sys, L2, R_2, 1.0);
144 lmm_expand(Sys, L3, R_3, 1.0);
147 if (method == MAXMIN) {
149 } else if (method == LAGRANGE_VEGAS) {
150 double x = 3 * a / 4 - 3 * b / 8 +
151 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
152 /* Computed with mupad and D_f=1.0 */
153 double max_deviation = 0.0;
164 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
166 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
168 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
170 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
172 if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
173 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
174 XBT_WARN("Found x = %1.20f", x);
175 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x,
176 lmm_variable_getvalue(R_1) - x);
177 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f",
178 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
179 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x,
180 lmm_variable_getvalue(R_3) - x);
181 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
182 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
184 } else if (method == LAGRANGE_RENO) {
186 double max_deviation = 0.0;
190 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
199 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
201 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
203 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
205 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
207 if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
208 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
209 XBT_WARN("Found x = %1.20f", x);
210 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x,
211 lmm_variable_getvalue(R_1) - x);
212 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f",
213 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
214 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x,
215 lmm_variable_getvalue(R_3) - x);
216 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
217 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
220 xbt_die( "Invalid method");
228 lmm_variable_free(Sys, R_1_2_3);
229 lmm_variable_free(Sys, R_1);
230 lmm_variable_free(Sys, R_2);
231 lmm_variable_free(Sys, R_3);
232 lmm_system_free(Sys);
235 void test2(method_t method);
236 void test2(method_t method)
238 lmm_system_t Sys = NULL;
239 lmm_constraint_t CPU1 = NULL;
240 lmm_constraint_t CPU2 = NULL;
242 lmm_variable_t T1 = NULL;
243 lmm_variable_t T2 = NULL;
246 if (method == LAGRANGE_VEGAS)
247 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
249 else if (method == LAGRANGE_RENO)
250 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
253 Sys = lmm_system_new(1);
254 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
255 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
257 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
258 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
260 lmm_update_variable_weight(Sys, T1, 1.0);
261 lmm_update_variable_weight(Sys, T2, 1.0);
264 lmm_expand(Sys, CPU1, T1, 1.0);
265 lmm_expand(Sys, CPU2, T2, 1.0);
269 if (method == MAXMIN) {
271 } else if (method == LAGRANGE_VEGAS) {
273 } else if (method == LAGRANGE_RENO) {
276 xbt_die("Invalid method");
282 lmm_variable_free(Sys, T1);
283 lmm_variable_free(Sys, T2);
284 lmm_system_free(Sys);
289 void test3(method_t method);
290 void test3(method_t method)
300 lmm_system_t Sys = NULL;
301 lmm_constraint_t *tmp_cnst = NULL;
302 lmm_variable_t *tmp_var = NULL;
306 /*array to add the the constraints of fictiv variables */
307 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
312 A = xbt_new0(double *, links + 5);
314 for (i = 0; i < links + 5; i++) {
315 A[i] = xbt_new0(double, flows + 5);
316 for (j = 0; j < flows + 5; j++) {
319 if (i >= links || j >= flows) {
325 /*matrix that store the constraints/topollogy */
327 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
328 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
329 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
330 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
331 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
332 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
333 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
334 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
335 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
336 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
338 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
339 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
340 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
341 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
342 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
395 if (method == LAGRANGE_VEGAS)
396 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
398 else if (method == LAGRANGE_RENO)
399 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
402 Sys = lmm_system_new(1);
406 tmp_name = xbt_new0(char *, 31);
409 * Creates the constraints
411 tmp_cnst = xbt_new0(lmm_constraint_t, 15);
412 for (i = 0; i < 15; i++) {
413 tmp_name[i] = bprintf("C_%03d", i);
414 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
419 * Creates the variables
421 tmp_var = xbt_new0(lmm_variable_t, 16);
422 for (j = 0; j < 16; j++) {
423 tmp_name[i + j] = bprintf("X_%03d", j);
425 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
426 lmm_update_variable_weight(Sys, tmp_var[j], 1.0);
430 * Link constraints and variables
432 for (i = 0; i < 15; i++) {
433 for (j = 0; j < 16; j++) {
435 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
442 if (method == MAXMIN) {
444 } else if (method == LAGRANGE_VEGAS) {
446 } else if (method == LAGRANGE_RENO) {
449 xbt_die("Invalid method");
452 for (j = 0; j < 16; j++) {
453 PRINT_VAR(tmp_var[j]);
456 for (j = 0; j < 16; j++)
457 lmm_variable_free(Sys, tmp_var[j]);
460 for (i = 0; i < 31; i++)
461 xbt_free(tmp_name[i]);
463 lmm_system_free(Sys);
464 for (i = 0; i < links + 5; i++)
469 int main(int argc, char **argv)
471 xbt_init(&argc, argv);
473 XBT_INFO("***** Test 1 (Max-Min)");
475 XBT_INFO("***** Test 1 (Lagrange - Vegas)");
476 test1(LAGRANGE_VEGAS);
477 XBT_INFO("***** Test 1 (Lagrange - Reno)");
478 test1(LAGRANGE_RENO);
482 XBT_INFO("***** Test 2 (Max-Min)");
484 XBT_INFO("***** Test 2 (Lagrange - Vegas)");
485 test2(LAGRANGE_VEGAS);
486 XBT_INFO("***** Test 2 (Lagrange - Reno)");
487 test2(LAGRANGE_RENO);
490 XBT_INFO("***** Test 3 (Max-Min)");
492 XBT_INFO("***** Test 3 (Lagrange - Vegas)");
493 test3(LAGRANGE_VEGAS);
494 XBT_INFO("***** Test 3 (Lagrange - Reno)");
495 test3(LAGRANGE_RENO);