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"
22 XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test,
23 "Messages specific for surf example");
25 #define PRINT_VAR(var) DEBUG1(#var " = %g",lmm_variable_getvalue(var));
26 #define SHOW_EXPR(expr) DEBUG1(#expr " = %g",expr);
30 /* ==l1== L2 ==L3== */
41 static double dichotomy(double func(double), double min, double max,
45 double min_func, max_func, middle_func;
47 double overall_error = 2 * min_error;
52 if ((min_func > 0 && max_func > 0))
54 if ((min_func < 0 && max_func < 0))
56 if ((min_func > 0 && max_func < 0))
59 while (overall_error > min_error) {
60 if ((min_func > 0 && max_func > 0) ||
61 (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 if (middle_func < 0) {
73 min_func = middle_func;
74 overall_error = max - middle_func;
75 } else if (middle_func > 0) {
77 max_func = middle_func;
78 overall_error = max - middle_func;
83 return ((min + max) / 2.0);
88 static double diff_lagrange_test_1(double x)
90 return -(3 / (1 + 3 * x * x / 2) -
91 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
93 (3 * (b_test_1 - a_test_1 + x) *
94 (b_test_1 - a_test_1 + x) / 2 + 1)));
97 void test1(method_t method);
98 void test1(method_t method)
100 lmm_system_t Sys = NULL;
101 lmm_constraint_t L1 = NULL;
102 lmm_constraint_t L2 = NULL;
103 lmm_constraint_t L3 = NULL;
105 lmm_variable_t R_1_2_3 = NULL;
106 lmm_variable_t R_1 = NULL;
107 lmm_variable_t R_2 = NULL;
108 lmm_variable_t R_3 = NULL;
110 double a = 1.0, b = 10.0;
112 if (method == LAGRANGE_VEGAS)
113 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
115 else if (method == LAGRANGE_RENO)
116 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
119 Sys = lmm_system_new();
120 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
121 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
122 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
124 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
125 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
126 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
127 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
129 lmm_update_variable_latency(Sys, R_1_2_3, 1.0);
130 lmm_update_variable_latency(Sys, R_1, 1.0);
131 lmm_update_variable_latency(Sys, R_2, 1.0);
132 lmm_update_variable_latency(Sys, R_3, 1.0);
134 lmm_expand(Sys, L1, R_1_2_3, 1.0);
135 lmm_expand(Sys, L2, R_1_2_3, 1.0);
136 lmm_expand(Sys, L3, R_1_2_3, 1.0);
138 lmm_expand(Sys, L1, R_1, 1.0);
140 lmm_expand(Sys, L2, R_2, 1.0);
142 lmm_expand(Sys, L3, R_3, 1.0);
145 if (method == MAXMIN) {
148 } else if (method == SDP) {
151 } else if (method == LAGRANGE_VEGAS) {
152 double x = 3 * a / 4 - 3 * b / 8 +
153 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
154 /* Computed with mupad and D_f=1.0 */
155 double max_deviation = 0.0;
166 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
168 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-8);
201 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
203 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
205 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
207 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
209 if (max_deviation > MAXMIN_PRECISION) {
210 WARN1("Max Deviation from optimal solution : %g", max_deviation);
211 WARN1("Found x = %1.20f", x);
212 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
213 lmm_variable_getvalue(R_1) - x);
214 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
215 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
216 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
217 lmm_variable_getvalue(R_3) - x);
218 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
219 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
222 xbt_assert0(0, "Invalid method");
230 lmm_system_free(Sys);
233 void test2(method_t method);
234 void test2(method_t method)
236 lmm_system_t Sys = NULL;
237 lmm_constraint_t CPU1 = NULL;
238 lmm_constraint_t CPU2 = NULL;
240 lmm_variable_t T1 = NULL;
241 lmm_variable_t T2 = NULL;
244 if (method == LAGRANGE_VEGAS)
245 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
247 else if (method == LAGRANGE_RENO)
248 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
251 Sys = lmm_system_new();
252 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
253 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
255 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
256 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
258 lmm_update_variable_latency(Sys, T1, 1.0);
259 lmm_update_variable_latency(Sys, T2, 1.0);
262 lmm_expand(Sys, CPU1, T1, 1.0);
263 lmm_expand(Sys, CPU2, T2, 1.0);
267 if (method == MAXMIN) {
270 } else if (method == SDP) {
273 } else if (method == LAGRANGE_VEGAS) {
275 } else if (method == LAGRANGE_RENO) {
278 xbt_assert0(0, "Invalid method");
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 = (double **) calloc(links + 5, sizeof(double));
314 for (i = 0; i < links + 5; i++) {
315 A[i] = (double *) calloc(flows + 5, sizeof(double));
317 for (j = 0; j < flows + 5; j++) {
320 if (i >= links || j >= flows) {
326 /*matrix that store the constraints/topollogy */
328 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
329 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
330 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
331 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
332 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
333 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
334 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
335 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
336 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
337 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
339 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
340 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
341 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
342 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
343 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
396 if (method == LAGRANGE_VEGAS)
397 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
399 else if (method == LAGRANGE_RENO)
400 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
403 Sys = lmm_system_new();
407 tmp_name = (char **) calloc(31, sizeof(char *));
408 for (i = 0; i < 31; i++) {
409 tmp_name[i] = (char *) calloc(10, sizeof(char));
413 * Creates the constraints
415 tmp_cnst = calloc(15, sizeof(lmm_constraint_t));
416 for (i = 0; i < 15; i++) {
417 sprintf(tmp_name[i], "C_%03d", i);
418 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
423 * Creates the variables
425 tmp_var = calloc(16, sizeof(lmm_variable_t));
426 for (j = 0; j < 16; j++) {
427 sprintf(tmp_name[i + j], "X_%03d", j);
429 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
430 lmm_update_variable_latency(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) {
449 } else if (method == SDP) {
452 } else if (method == LAGRANGE_VEGAS) {
454 } else if (method == LAGRANGE_RENO) {
457 xbt_assert0(0, "Invalid method");
460 for (j = 0; j < 16; j++) {
461 PRINT_VAR(tmp_var[j]);
467 lmm_system_free(Sys);
474 int main(int argc, char **argv)
476 xbt_init(&argc, argv);
478 INFO0("***** Test 1 (Max-Min)");
481 INFO0("***** Test 1 (SDP)");
484 INFO0("***** Test 1 (Lagrange - Vegas)");
485 test1(LAGRANGE_VEGAS);
486 INFO0("***** Test 1 (Lagrange - Reno)");
487 test1(LAGRANGE_RENO);
491 INFO0("***** Test 2 (Max-Min)");
494 INFO0("***** Test 2 (SDP)");
497 INFO0("***** Test 2 (Lagrange - Vegas)");
498 test2(LAGRANGE_VEGAS);
499 INFO0("***** Test 2 (Lagrange - Reno)");
500 test2(LAGRANGE_RENO);
503 INFO0("***** Test 3 (Max-Min)");
506 INFO0("***** Test 3 (SDP)");
509 INFO0("***** Test 3 (Lagrange - Vegas)");
510 test3(LAGRANGE_VEGAS);
511 INFO0("***** Test 3 (Lagrange - Reno)");
512 test3(LAGRANGE_RENO);