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, "Messages specific for surf example");
21 #define PRINT_VAR(var) DEBUG1(#var " = %g",lmm_variable_getvalue(var));
22 #define SHOW_EXPR(expr) DEBUG1(#expr " = %g",expr);
26 /* ==l1== L2 ==L3== */
36 static double dichotomy(double func(double), double min, double max,
40 double min_func, max_func, middle_func;
42 double overall_error = 2 * min_error;
47 if ((min_func > 0 && max_func > 0))
49 if ((min_func < 0 && max_func < 0))
51 if ((min_func > 0 && max_func < 0))
56 while (overall_error > min_error) {
57 SHOW_EXPR(overall_error);
58 if ((min_func > 0 && max_func > 0) ||
59 (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
68 middle = (max + min) / 2.0;
69 if ((min == middle) || (max == middle)) {
72 middle_func = func(middle);
74 SHOW_EXPR(middle_func);
76 if (middle_func < 0) {
78 min_func = middle_func;
79 overall_error = max_func - middle_func;
80 } else if (middle_func > 0) {
82 max_func = middle_func;
83 overall_error = middle_func - min_func;
88 return ((min + max) / 2.0);
93 static double diff_lagrange_test_1(double x)
95 return -(3 / (1 + 3 * x * x / 2) -
96 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
98 (3 * (b_test_1 - a_test_1 + x) *
99 (b_test_1 - a_test_1 + x) / 2 + 1)));
102 void test1(method_t method);
103 void test1(method_t method)
105 lmm_system_t Sys = NULL;
106 lmm_constraint_t L1 = NULL;
107 lmm_constraint_t L2 = NULL;
108 lmm_constraint_t L3 = NULL;
110 lmm_variable_t R_1_2_3 = NULL;
111 lmm_variable_t R_1 = NULL;
112 lmm_variable_t R_2 = NULL;
113 lmm_variable_t R_3 = NULL;
115 double a = 1.0, b = 10.0;
117 if (method == LAGRANGE_VEGAS)
118 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
120 else if (method == LAGRANGE_RENO)
121 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
124 Sys = lmm_system_new();
125 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
126 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
127 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
129 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
130 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
131 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
132 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
134 lmm_update_variable_weight(Sys, R_1_2_3, 1.0);
135 lmm_update_variable_weight(Sys, R_1, 1.0);
136 lmm_update_variable_weight(Sys, R_2, 1.0);
137 lmm_update_variable_weight(Sys, R_3, 1.0);
139 lmm_expand(Sys, L1, R_1_2_3, 1.0);
140 lmm_expand(Sys, L2, R_1_2_3, 1.0);
141 lmm_expand(Sys, L3, R_1_2_3, 1.0);
143 lmm_expand(Sys, L1, R_1, 1.0);
145 lmm_expand(Sys, L2, R_2, 1.0);
147 lmm_expand(Sys, L3, R_3, 1.0);
150 if (method == MAXMIN) {
152 } else if (method == LAGRANGE_VEGAS) {
153 double x = 3 * a / 4 - 3 * b / 8 +
154 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
155 /* Computed with mupad and D_f=1.0 */
156 double max_deviation = 0.0;
166 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
167 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
169 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
171 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
173 if (max_deviation > MAXMIN_PRECISION) {
174 WARN1("Max Deviation from optimal solution : %g", max_deviation);
175 WARN1("Found x = %1.20f", x);
176 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
177 lmm_variable_getvalue(R_1) - x);
178 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
179 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
180 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
181 lmm_variable_getvalue(R_3) - x);
182 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
183 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
185 } else if (method == LAGRANGE_RENO) {
187 double max_deviation = 0.0;
191 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
199 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
200 max_deviation = MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
202 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
204 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
206 if (max_deviation > MAXMIN_PRECISION) {
207 WARN1("Max Deviation from optimal solution : %g", max_deviation);
208 WARN1("Found x = %1.20f", x);
209 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
210 lmm_variable_getvalue(R_1) - x);
211 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
212 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
213 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
214 lmm_variable_getvalue(R_3) - x);
215 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
216 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
219 xbt_assert0(0, "Invalid method");
227 lmm_system_free(Sys);
230 void test2(method_t method);
231 void test2(method_t method)
233 lmm_system_t Sys = NULL;
234 lmm_constraint_t CPU1 = NULL;
235 lmm_constraint_t CPU2 = NULL;
237 lmm_variable_t T1 = NULL;
238 lmm_variable_t T2 = NULL;
241 if (method == LAGRANGE_VEGAS)
242 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
244 else if (method == LAGRANGE_RENO)
245 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
248 Sys = lmm_system_new();
249 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
250 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
252 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
253 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
255 lmm_update_variable_weight(Sys, T1, 1.0);
256 lmm_update_variable_weight(Sys, T2, 1.0);
259 lmm_expand(Sys, CPU1, T1, 1.0);
260 lmm_expand(Sys, CPU2, T2, 1.0);
264 if (method == MAXMIN) {
266 } else if (method == LAGRANGE_VEGAS) {
268 } else if (method == LAGRANGE_RENO) {
271 xbt_assert0(0, "Invalid method");
277 lmm_system_free(Sys);
282 void test3(method_t method);
283 void test3(method_t method)
293 lmm_system_t Sys = NULL;
294 lmm_constraint_t *tmp_cnst = NULL;
295 lmm_variable_t *tmp_var = NULL;
299 /*array to add the the constraints of fictiv variables */
300 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
305 /*A = xbt_new0(double*, links + 5); */
306 A = xbt_new0(double *, links + 5);
308 for (i = 0; i < links + 5; i++) {
309 A[i] = xbt_new0(double, flows + 5);
310 for (j = 0; j < flows + 5; j++) {
313 if (i >= links || j >= flows) {
319 /*matrix that store the constraints/topollogy */
321 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
322 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
323 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
324 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
325 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
326 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
327 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
328 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
329 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
330 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
332 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
333 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
334 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
335 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
336 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
389 if (method == LAGRANGE_VEGAS)
390 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
392 else if (method == LAGRANGE_RENO)
393 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
396 Sys = lmm_system_new();
400 tmp_name = xbt_new0(char *, 31);
403 * Creates the constraints
405 tmp_cnst = xbt_new0(lmm_constraint_t, 15);
406 for (i = 0; i < 15; i++) {
407 tmp_name[i] = bprintf("C_%03d", i);
408 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
413 * Creates the variables
415 tmp_var = xbt_new0(lmm_variable_t, 16);
416 for (j = 0; j < 16; j++) {
417 tmp_name[i + j] = bprintf("X_%03d", j);
419 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
420 lmm_update_variable_weight(Sys, tmp_var[j], 1.0);
424 * Link constraints and variables
426 for (i = 0; i < 15; i++) {
427 for (j = 0; j < 16; j++) {
429 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
436 if (method == MAXMIN) {
438 } else if (method == LAGRANGE_VEGAS) {
440 } else if (method == LAGRANGE_RENO) {
443 xbt_assert0(0, "Invalid method");
446 for (j = 0; j < 16; j++) {
447 PRINT_VAR(tmp_var[j]);
453 lmm_system_free(Sys);
460 int main(int argc, char **argv)
462 xbt_init(&argc, argv);
464 INFO0("***** Test 1 (Max-Min)");
466 INFO0("***** Test 1 (Lagrange - Vegas)");
467 test1(LAGRANGE_VEGAS);
468 INFO0("***** Test 1 (Lagrange - Reno)");
469 test1(LAGRANGE_RENO);
473 INFO0("***** Test 2 (Max-Min)");
475 INFO0("***** Test 2 (Lagrange - Vegas)");
476 test2(LAGRANGE_VEGAS);
477 INFO0("***** Test 2 (Lagrange - Reno)");
478 test2(LAGRANGE_RENO);
481 INFO0("***** Test 3 (Max-Min)");
483 INFO0("***** Test 3 (Lagrange - Vegas)");
484 test3(LAGRANGE_VEGAS);
485 INFO0("***** Test 3 (Lagrange - Reno)");
486 test3(LAGRANGE_RENO);