1 /* A few tests for the maxmin library */
3 /* Copyright (c) 2007, 2008, 2009, 2010. 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. */
13 #include "xbt/sysdep.h"
14 #include "surf/maxmin.h"
16 #include "xbt/module.h"
19 XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test,
20 "Messages specific for surf example");
22 #define PRINT_VAR(var) XBT_DEBUG(#var " = %g",lmm_variable_getvalue(var));
23 #define SHOW_EXPR(expr) XBT_DEBUG(#expr " = %g",expr);
27 /* ==l1== L2 ==L3== */
37 static double dichotomy(double func(double), double min, double max,
41 double min_func, max_func, middle_func;
43 double overall_error = 2 * min_error;
48 if ((min_func > 0 && max_func > 0))
50 if ((min_func < 0 && max_func < 0))
52 if ((min_func > 0 && max_func < 0))
57 while (overall_error > min_error) {
58 SHOW_EXPR(overall_error);
59 if ((min_func > 0 && max_func > 0) ||
60 (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
69 middle = (max + min) / 2.0;
70 if ((min == middle) || (max == middle)) {
73 middle_func = func(middle);
75 SHOW_EXPR(middle_func);
77 if (middle_func < 0) {
79 min_func = middle_func;
80 overall_error = max_func - middle_func;
81 } else if (middle_func > 0) {
83 max_func = middle_func;
84 overall_error = middle_func - min_func;
89 return ((min + max) / 2.0);
94 static double diff_lagrange_test_1(double x)
96 return -(3 / (1 + 3 * x * x / 2) -
97 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
99 (3 * (b_test_1 - a_test_1 + x) *
100 (b_test_1 - a_test_1 + x) / 2 + 1)));
103 void test1(method_t method);
104 void test1(method_t method)
106 lmm_system_t Sys = NULL;
107 lmm_constraint_t L1 = NULL;
108 lmm_constraint_t L2 = NULL;
109 lmm_constraint_t L3 = NULL;
111 lmm_variable_t R_1_2_3 = NULL;
112 lmm_variable_t R_1 = NULL;
113 lmm_variable_t R_2 = NULL;
114 lmm_variable_t R_3 = NULL;
116 double a = 1.0, b = 10.0;
118 if (method == LAGRANGE_VEGAS)
119 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
121 else if (method == LAGRANGE_RENO)
122 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
125 Sys = lmm_system_new(1);
126 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
127 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
128 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
130 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
131 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
132 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
133 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
135 lmm_update_variable_weight(Sys, R_1_2_3, 1.0);
136 lmm_update_variable_weight(Sys, R_1, 1.0);
137 lmm_update_variable_weight(Sys, R_2, 1.0);
138 lmm_update_variable_weight(Sys, R_3, 1.0);
140 lmm_expand(Sys, L1, R_1_2_3, 1.0);
141 lmm_expand(Sys, L2, R_1_2_3, 1.0);
142 lmm_expand(Sys, L3, R_1_2_3, 1.0);
144 lmm_expand(Sys, L1, R_1, 1.0);
146 lmm_expand(Sys, L2, R_2, 1.0);
148 lmm_expand(Sys, L3, R_3, 1.0);
151 if (method == MAXMIN) {
153 } else if (method == LAGRANGE_VEGAS) {
154 double x = 3 * a / 4 - 3 * b / 8 +
155 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
156 /* Computed with mupad and D_f=1.0 */
157 double max_deviation = 0.0;
168 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
170 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
172 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
174 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
176 if (max_deviation > MAXMIN_PRECISION) {
177 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
178 XBT_WARN("Found x = %1.20f", x);
179 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x,
180 lmm_variable_getvalue(R_1) - x);
181 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f",
182 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
183 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x,
184 lmm_variable_getvalue(R_3) - x);
185 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
186 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
188 } else if (method == LAGRANGE_RENO) {
190 double max_deviation = 0.0;
194 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
203 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
205 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
207 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
209 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
211 if (max_deviation > MAXMIN_PRECISION) {
212 XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
213 XBT_WARN("Found x = %1.20f", x);
214 XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x,
215 lmm_variable_getvalue(R_1) - x);
216 XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f",
217 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
218 XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x,
219 lmm_variable_getvalue(R_3) - x);
220 XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
221 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
224 xbt_die( "Invalid method");
232 lmm_variable_free(Sys, R_1_2_3);
233 lmm_variable_free(Sys, R_1);
234 lmm_variable_free(Sys, R_2);
235 lmm_variable_free(Sys, R_3);
236 lmm_system_free(Sys);
239 void test2(method_t method);
240 void test2(method_t method)
242 lmm_system_t Sys = NULL;
243 lmm_constraint_t CPU1 = NULL;
244 lmm_constraint_t CPU2 = NULL;
246 lmm_variable_t T1 = NULL;
247 lmm_variable_t T2 = NULL;
250 if (method == LAGRANGE_VEGAS)
251 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
253 else if (method == LAGRANGE_RENO)
254 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
257 Sys = lmm_system_new(1);
258 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
259 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
261 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
262 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
264 lmm_update_variable_weight(Sys, T1, 1.0);
265 lmm_update_variable_weight(Sys, T2, 1.0);
268 lmm_expand(Sys, CPU1, T1, 1.0);
269 lmm_expand(Sys, CPU2, T2, 1.0);
273 if (method == MAXMIN) {
275 } else if (method == LAGRANGE_VEGAS) {
277 } else if (method == LAGRANGE_RENO) {
280 xbt_die("Invalid method");
286 lmm_variable_free(Sys, T1);
287 lmm_variable_free(Sys, T2);
288 lmm_system_free(Sys);
293 void test3(method_t method);
294 void test3(method_t method)
304 lmm_system_t Sys = NULL;
305 lmm_constraint_t *tmp_cnst = NULL;
306 lmm_variable_t *tmp_var = NULL;
310 /*array to add the the constraints of fictiv variables */
311 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
316 A = xbt_new0(double *, links + 5);
318 for (i = 0; i < links + 5; i++) {
319 A[i] = xbt_new0(double, flows + 5);
320 for (j = 0; j < flows + 5; j++) {
323 if (i >= links || j >= flows) {
329 /*matrix that store the constraints/topollogy */
331 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
332 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
333 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
334 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
335 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
336 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
337 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
338 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
339 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
340 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
342 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
343 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
344 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
345 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
346 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
399 if (method == LAGRANGE_VEGAS)
400 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
402 else if (method == LAGRANGE_RENO)
403 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
406 Sys = lmm_system_new(1);
410 tmp_name = xbt_new0(char *, 31);
413 * Creates the constraints
415 tmp_cnst = xbt_new0(lmm_constraint_t, 15);
416 for (i = 0; i < 15; i++) {
417 tmp_name[i] = bprintf("C_%03d", i);
418 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
423 * Creates the variables
425 tmp_var = xbt_new0(lmm_variable_t, 16);
426 for (j = 0; j < 16; j++) {
427 tmp_name[i + j] = bprintf("X_%03d", j);
429 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
430 lmm_update_variable_weight(Sys, tmp_var[j], 1.0);
434 * Link constraints and variables
436 for (i = 0; i < 15; i++) {
437 for (j = 0; j < 16; j++) {
439 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
446 if (method == MAXMIN) {
448 } else if (method == LAGRANGE_VEGAS) {
450 } else if (method == LAGRANGE_RENO) {
453 xbt_die("Invalid method");
456 for (j = 0; j < 16; j++) {
457 PRINT_VAR(tmp_var[j]);
460 for (j = 0; j < 16; j++)
461 lmm_variable_free(Sys, tmp_var[j]);
464 for (i = 0; i < 31; i++)
465 xbt_free(tmp_name[i]);
467 lmm_system_free(Sys);
468 for (i = 0; i < links + 5; i++)
477 int main(int argc, char **argv)
479 xbt_init(&argc, argv);
481 XBT_INFO("***** Test 1 (Max-Min)");
483 XBT_INFO("***** Test 1 (Lagrange - Vegas)");
484 test1(LAGRANGE_VEGAS);
485 XBT_INFO("***** Test 1 (Lagrange - Reno)");
486 test1(LAGRANGE_RENO);
490 XBT_INFO("***** Test 2 (Max-Min)");
492 XBT_INFO("***** Test 2 (Lagrange - Vegas)");
493 test2(LAGRANGE_VEGAS);
494 XBT_INFO("***** Test 2 (Lagrange - Reno)");
495 test2(LAGRANGE_RENO);
498 XBT_INFO("***** Test 3 (Max-Min)");
500 XBT_INFO("***** Test 3 (Lagrange - Vegas)");
501 test3(LAGRANGE_VEGAS);
502 XBT_INFO("***** Test 3 (Lagrange - Reno)");
503 test3(LAGRANGE_RENO);