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== */
38 static double dichotomy(double func(double), double min, double max,
42 double min_func, max_func, middle_func;
44 double overall_error = 2 * min_error;
49 if ((min_func > 0 && max_func > 0))
51 if ((min_func < 0 && max_func < 0))
53 if ((min_func > 0 && max_func < 0))
58 while (overall_error > min_error) {
59 SHOW_EXPR(overall_error);
60 if ((min_func > 0 && max_func > 0) ||
61 (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
70 middle = (max + min) / 2.0;
71 if ((min == middle) || (max == middle)) {
74 middle_func = func(middle);
76 SHOW_EXPR(middle_func);
78 if (middle_func < 0) {
80 min_func = middle_func;
81 overall_error = max_func - middle_func;
82 } else if (middle_func > 0) {
84 max_func = middle_func;
85 overall_error = middle_func - min_func;
90 return ((min + max) / 2.0);
95 static double diff_lagrange_test_1(double x)
97 return -(3 / (1 + 3 * x * x / 2) -
98 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
100 (3 * (b_test_1 - a_test_1 + x) *
101 (b_test_1 - a_test_1 + x) / 2 + 1)));
104 void test1(method_t method);
105 void test1(method_t method)
107 lmm_system_t Sys = NULL;
108 lmm_constraint_t L1 = NULL;
109 lmm_constraint_t L2 = NULL;
110 lmm_constraint_t L3 = NULL;
112 lmm_variable_t R_1_2_3 = NULL;
113 lmm_variable_t R_1 = NULL;
114 lmm_variable_t R_2 = NULL;
115 lmm_variable_t R_3 = NULL;
117 double a = 1.0, b = 10.0;
119 if (method == LAGRANGE_VEGAS)
120 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
122 else if (method == LAGRANGE_RENO)
123 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
126 Sys = lmm_system_new();
127 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
128 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
129 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
131 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
132 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
133 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
134 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
136 lmm_update_variable_weight(Sys, R_1_2_3, 1.0);
137 lmm_update_variable_weight(Sys, R_1, 1.0);
138 lmm_update_variable_weight(Sys, R_2, 1.0);
139 lmm_update_variable_weight(Sys, R_3, 1.0);
141 lmm_expand(Sys, L1, R_1_2_3, 1.0);
142 lmm_expand(Sys, L2, R_1_2_3, 1.0);
143 lmm_expand(Sys, L3, R_1_2_3, 1.0);
145 lmm_expand(Sys, L1, R_1, 1.0);
147 lmm_expand(Sys, L2, R_2, 1.0);
149 lmm_expand(Sys, L3, R_3, 1.0);
152 if (method == MAXMIN) {
155 } else if (method == SDP) {
158 } else if (method == LAGRANGE_VEGAS) {
159 double x = 3 * a / 4 - 3 * b / 8 +
160 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
161 /* Computed with mupad and D_f=1.0 */
162 double max_deviation = 0.0;
172 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
173 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
175 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
177 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
179 if (max_deviation > MAXMIN_PRECISION) {
180 WARN1("Max Deviation from optimal solution : %g", max_deviation);
181 WARN1("Found x = %1.20f", x);
182 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
183 lmm_variable_getvalue(R_1) - x);
184 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
185 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
186 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
187 lmm_variable_getvalue(R_3) - x);
188 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
189 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
191 } else if (method == LAGRANGE_RENO) {
193 double max_deviation = 0.0;
197 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
205 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
206 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
208 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
210 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
212 if (max_deviation > MAXMIN_PRECISION) {
213 WARN1("Max Deviation from optimal solution : %g", max_deviation);
214 WARN1("Found x = %1.20f", x);
215 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
216 lmm_variable_getvalue(R_1) - x);
217 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
218 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
219 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
220 lmm_variable_getvalue(R_3) - x);
221 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
222 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
225 xbt_assert0(0, "Invalid method");
233 lmm_system_free(Sys);
236 void test2(method_t method);
237 void test2(method_t method)
239 lmm_system_t Sys = NULL;
240 lmm_constraint_t CPU1 = NULL;
241 lmm_constraint_t CPU2 = NULL;
243 lmm_variable_t T1 = NULL;
244 lmm_variable_t T2 = NULL;
247 if (method == LAGRANGE_VEGAS)
248 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
250 else if (method == LAGRANGE_RENO)
251 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
254 Sys = lmm_system_new();
255 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
256 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
258 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
259 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
261 lmm_update_variable_weight(Sys, T1, 1.0);
262 lmm_update_variable_weight(Sys, T2, 1.0);
265 lmm_expand(Sys, CPU1, T1, 1.0);
266 lmm_expand(Sys, CPU2, T2, 1.0);
270 if (method == MAXMIN) {
273 } else if (method == SDP) {
276 } else if (method == LAGRANGE_VEGAS) {
278 } else if (method == LAGRANGE_RENO) {
281 xbt_assert0(0, "Invalid method");
287 lmm_system_free(Sys);
292 void test3(method_t method);
293 void test3(method_t method)
303 lmm_system_t Sys = NULL;
304 lmm_constraint_t *tmp_cnst = NULL;
305 lmm_variable_t *tmp_var = NULL;
309 /*array to add the the constraints of fictiv variables */
310 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
315 /*A = xbt_new0(double*, links + 5); */
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();
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) {
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);