3 /* A few tests for the maxmin library */
5 /* Copyright (c) 2004 Arnaud Legrand. All rights reserved. */
7 /* This program is free software; you can redistribute it and/or modify it
8 * under the terms of the license (GNU LGPL) which comes with this package. */
14 #include "xbt/sysdep.h"
15 #include "surf/maxmin.h"
17 #include "xbt/module.h"
20 XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test, "Messages specific for surf example");
22 #define PRINT_VAR(var) DEBUG1(#var " = %g",lmm_variable_getvalue(var));
23 #define SHOW_EXPR(expr) DEBUG1(#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();
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;
167 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
168 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
170 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
172 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
174 if (max_deviation > MAXMIN_PRECISION) {
175 WARN1("Max Deviation from optimal solution : %g", max_deviation);
176 WARN1("Found x = %1.20f", x);
177 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
178 lmm_variable_getvalue(R_1) - x);
179 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
180 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
181 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
182 lmm_variable_getvalue(R_3) - x);
183 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
184 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
186 } else if (method == LAGRANGE_RENO) {
188 double max_deviation = 0.0;
192 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
200 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
201 max_deviation = 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 > MAXMIN_PRECISION) {
208 WARN1("Max Deviation from optimal solution : %g", max_deviation);
209 WARN1("Found x = %1.20f", x);
210 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
211 lmm_variable_getvalue(R_1) - x);
212 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
213 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
214 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
215 lmm_variable_getvalue(R_3) - x);
216 WARN2("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_assert0(0, "Invalid method");
228 lmm_system_free(Sys);
231 void test2(method_t method);
232 void test2(method_t method)
234 lmm_system_t Sys = NULL;
235 lmm_constraint_t CPU1 = NULL;
236 lmm_constraint_t CPU2 = NULL;
238 lmm_variable_t T1 = NULL;
239 lmm_variable_t T2 = NULL;
242 if (method == LAGRANGE_VEGAS)
243 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
245 else if (method == LAGRANGE_RENO)
246 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
249 Sys = lmm_system_new();
250 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
251 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
253 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
254 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
256 lmm_update_variable_weight(Sys, T1, 1.0);
257 lmm_update_variable_weight(Sys, T2, 1.0);
260 lmm_expand(Sys, CPU1, T1, 1.0);
261 lmm_expand(Sys, CPU2, T2, 1.0);
265 if (method == MAXMIN) {
267 } else if (method == LAGRANGE_VEGAS) {
269 } else if (method == LAGRANGE_RENO) {
272 xbt_assert0(0, "Invalid method");
278 lmm_system_free(Sys);
283 void test3(method_t method);
284 void test3(method_t method)
294 lmm_system_t Sys = NULL;
295 lmm_constraint_t *tmp_cnst = NULL;
296 lmm_variable_t *tmp_var = NULL;
300 /*array to add the the constraints of fictiv variables */
301 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
306 /*A = xbt_new0(double*, links + 5); */
307 A = xbt_new0(double *, links + 5);
309 for (i = 0; i < links + 5; i++) {
310 A[i] = xbt_new0(double, flows + 5);
311 for (j = 0; j < flows + 5; j++) {
314 if (i >= links || j >= flows) {
320 /*matrix that store the constraints/topollogy */
322 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
323 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
324 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
325 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
326 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
327 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
328 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
329 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
330 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
331 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
333 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
334 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
335 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
336 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
337 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
390 if (method == LAGRANGE_VEGAS)
391 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
393 else if (method == LAGRANGE_RENO)
394 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
397 Sys = lmm_system_new();
401 tmp_name = xbt_new0(char *, 31);
404 * Creates the constraints
406 tmp_cnst = xbt_new0(lmm_constraint_t, 15);
407 for (i = 0; i < 15; i++) {
408 tmp_name[i] = bprintf("C_%03d", i);
409 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
414 * Creates the variables
416 tmp_var = xbt_new0(lmm_variable_t, 16);
417 for (j = 0; j < 16; j++) {
418 tmp_name[i + j] = bprintf("X_%03d", j);
420 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
421 lmm_update_variable_weight(Sys, tmp_var[j], 1.0);
425 * Link constraints and variables
427 for (i = 0; i < 15; i++) {
428 for (j = 0; j < 16; j++) {
430 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
437 if (method == MAXMIN) {
439 } else if (method == LAGRANGE_VEGAS) {
441 } else if (method == LAGRANGE_RENO) {
444 xbt_assert0(0, "Invalid method");
447 for (j = 0; j < 16; j++) {
448 PRINT_VAR(tmp_var[j]);
454 lmm_system_free(Sys);
461 int main(int argc, char **argv)
463 xbt_init(&argc, argv);
465 INFO0("***** Test 1 (Max-Min)");
467 INFO0("***** Test 1 (Lagrange - Vegas)");
468 test1(LAGRANGE_VEGAS);
469 INFO0("***** Test 1 (Lagrange - Reno)");
470 test1(LAGRANGE_RENO);
474 INFO0("***** Test 2 (Max-Min)");
476 INFO0("***** Test 2 (Lagrange - Vegas)");
477 test2(LAGRANGE_VEGAS);
478 INFO0("***** Test 2 (Lagrange - Reno)");
479 test2(LAGRANGE_RENO);
482 INFO0("***** Test 3 (Max-Min)");
484 INFO0("***** Test 3 (Lagrange - Vegas)");
485 test3(LAGRANGE_VEGAS);
486 INFO0("***** Test 3 (Lagrange - Reno)");
487 test3(LAGRANGE_RENO);