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,
21 "Messages specific for surf example");
23 #define PRINT_VAR(var) DEBUG1(#var " = %g",lmm_variable_getvalue(var));
24 #define SHOW_EXPR(expr) DEBUG1(#expr " = %g",expr);
28 /* ==l1== L2 ==L3== */
39 static double dichotomy(double func(double), double min, double max,
43 double min_func, max_func, middle_func;
45 double overall_error = 2 * min_error;
50 if ((min_func > 0 && max_func > 0))
52 if ((min_func < 0 && max_func < 0))
54 if ((min_func > 0 && max_func < 0))
59 while (overall_error > min_error) {
60 SHOW_EXPR(overall_error);
61 if ((min_func > 0 && max_func > 0) ||
62 (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
71 middle = (max + min) / 2.0;
72 if ((min == middle) || (max == middle)) {
75 middle_func = func(middle);
77 SHOW_EXPR(middle_func);
79 if (middle_func < 0) {
81 min_func = middle_func;
82 overall_error = max_func - middle_func;
83 } else if (middle_func > 0) {
85 max_func = middle_func;
86 overall_error = middle_func-min_func;
91 return ((min + max) / 2.0);
96 static double diff_lagrange_test_1(double x)
98 return -(3 / (1 + 3 * x * x / 2) -
99 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
101 (3 * (b_test_1 - a_test_1 + x) *
102 (b_test_1 - a_test_1 + x) / 2 + 1)));
105 void test1(method_t method);
106 void test1(method_t method)
108 lmm_system_t Sys = NULL;
109 lmm_constraint_t L1 = NULL;
110 lmm_constraint_t L2 = NULL;
111 lmm_constraint_t L3 = NULL;
113 lmm_variable_t R_1_2_3 = NULL;
114 lmm_variable_t R_1 = NULL;
115 lmm_variable_t R_2 = NULL;
116 lmm_variable_t R_3 = NULL;
118 double a = 1.0, b = 10.0;
120 if (method == LAGRANGE_VEGAS)
121 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
123 else if (method == LAGRANGE_RENO)
124 lmm_set_default_protocol_function(func_reno_f, func_reno_fpi,
127 Sys = lmm_system_new();
128 L1 = lmm_constraint_new(Sys, (void *) "L1", a);
129 L2 = lmm_constraint_new(Sys, (void *) "L2", b);
130 L3 = lmm_constraint_new(Sys, (void *) "L3", a);
132 R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
133 R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
134 R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
135 R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
137 lmm_update_variable_latency(Sys, R_1_2_3, 1.0);
138 lmm_update_variable_latency(Sys, R_1, 1.0);
139 lmm_update_variable_latency(Sys, R_2, 1.0);
140 lmm_update_variable_latency(Sys, R_3, 1.0);
142 lmm_expand(Sys, L1, R_1_2_3, 1.0);
143 lmm_expand(Sys, L2, R_1_2_3, 1.0);
144 lmm_expand(Sys, L3, R_1_2_3, 1.0);
146 lmm_expand(Sys, L1, R_1, 1.0);
148 lmm_expand(Sys, L2, R_2, 1.0);
150 lmm_expand(Sys, L3, R_3, 1.0);
153 if (method == MAXMIN) {
156 } else if (method == SDP) {
159 } else if (method == LAGRANGE_VEGAS) {
160 double x = 3 * a / 4 - 3 * b / 8 +
161 sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
162 /* Computed with mupad and D_f=1.0 */
163 double max_deviation = 0.0;
174 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
176 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
178 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
180 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
182 if (max_deviation > MAXMIN_PRECISION) {
183 WARN1("Max Deviation from optimal solution : %g", max_deviation);
184 WARN1("Found x = %1.20f", x);
185 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
186 lmm_variable_getvalue(R_1) - x);
187 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
188 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
189 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
190 lmm_variable_getvalue(R_3) - x);
191 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
192 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
194 } else if (method == LAGRANGE_RENO) {
196 double max_deviation = 0.0;
200 x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
209 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
211 MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
213 MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
215 MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
217 if (max_deviation > MAXMIN_PRECISION) {
218 WARN1("Max Deviation from optimal solution : %g", max_deviation);
219 WARN1("Found x = %1.20f", x);
220 WARN2("Deviation from optimal solution (R_1 = %g): %1.20f", x,
221 lmm_variable_getvalue(R_1) - x);
222 WARN2("Deviation from optimal solution (R_2 = %g): %1.20f",
223 b - a + x, lmm_variable_getvalue(R_2) - (b - a + x));
224 WARN2("Deviation from optimal solution (R_3 = %g): %1.20f", x,
225 lmm_variable_getvalue(R_3) - x);
226 WARN2("Deviation from optimal solution (R_1_2_3 = %g): %1.20f",
227 a - x, lmm_variable_getvalue(R_1_2_3) - (a - x));
230 xbt_assert0(0, "Invalid method");
238 lmm_system_free(Sys);
241 void test2(method_t method);
242 void test2(method_t method)
244 lmm_system_t Sys = NULL;
245 lmm_constraint_t CPU1 = NULL;
246 lmm_constraint_t CPU2 = NULL;
248 lmm_variable_t T1 = NULL;
249 lmm_variable_t T2 = NULL;
252 if (method == LAGRANGE_VEGAS)
253 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
255 else if (method == LAGRANGE_RENO)
256 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
259 Sys = lmm_system_new();
260 CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
261 CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
263 T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
264 T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
266 lmm_update_variable_latency(Sys, T1, 1.0);
267 lmm_update_variable_latency(Sys, T2, 1.0);
270 lmm_expand(Sys, CPU1, T1, 1.0);
271 lmm_expand(Sys, CPU2, T2, 1.0);
275 if (method == MAXMIN) {
278 } else if (method == SDP) {
281 } else if (method == LAGRANGE_VEGAS) {
283 } else if (method == LAGRANGE_RENO) {
286 xbt_assert0(0, "Invalid method");
292 lmm_system_free(Sys);
297 void test3(method_t method);
298 void test3(method_t method)
308 lmm_system_t Sys = NULL;
309 lmm_constraint_t *tmp_cnst = NULL;
310 lmm_variable_t *tmp_var = NULL;
314 /*array to add the the constraints of fictiv variables */
315 double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
320 /*A = xbt_new0(double*, links + 5);*/
321 A = xbt_new0(double*, links + 5);
323 for (i = 0; i < links + 5; i++) {
324 A[i] = xbt_new0(double, flows + 5);
325 for (j = 0; j < flows + 5; j++) {
328 if (i >= links || j >= flows) {
334 /*matrix that store the constraints/topollogy */
336 {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
337 {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
338 {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
339 {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
340 {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
341 {1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
342 {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0},
343 {0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
344 {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
345 {0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
347 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
348 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
349 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
350 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
351 {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
404 if (method == LAGRANGE_VEGAS)
405 lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp,
407 else if (method == LAGRANGE_RENO)
408 lmm_set_default_protocol_function(func_reno_f, func_reno_fp,
411 Sys = lmm_system_new();
415 tmp_name = xbt_new0(char *,31);
418 * Creates the constraints
420 tmp_cnst = xbt_new0(lmm_constraint_t,15);
421 for (i = 0; i < 15; i++) {
422 tmp_name[i] = bprintf("C_%03d", i);
423 tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
428 * Creates the variables
430 tmp_var = xbt_new0(lmm_variable_t,16);
431 for (j = 0; j < 16; j++) {
432 tmp_name[i + j] = bprintf("X_%03d", j);
434 lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
435 lmm_update_variable_latency(Sys, tmp_var[j], 1.0);
439 * Link constraints and variables
441 for (i = 0; i < 15; i++) {
442 for (j = 0; j < 16; j++) {
444 lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
451 if (method == MAXMIN) {
454 } else if (method == SDP) {
457 } else if (method == LAGRANGE_VEGAS) {
459 } else if (method == LAGRANGE_RENO) {
462 xbt_assert0(0, "Invalid method");
465 for (j = 0; j < 16; j++) {
466 PRINT_VAR(tmp_var[j]);
472 lmm_system_free(Sys);
479 int main(int argc, char **argv)
481 xbt_init(&argc, argv);
483 INFO0("***** Test 1 (Max-Min)");
486 INFO0("***** Test 1 (SDP)");
489 INFO0("***** Test 1 (Lagrange - Vegas)");
490 test1(LAGRANGE_VEGAS);
491 INFO0("***** Test 1 (Lagrange - Reno)");
492 test1(LAGRANGE_RENO);
496 INFO0("***** Test 2 (Max-Min)");
499 INFO0("***** Test 2 (SDP)");
502 INFO0("***** Test 2 (Lagrange - Vegas)");
503 test2(LAGRANGE_VEGAS);
504 INFO0("***** Test 2 (Lagrange - Reno)");
505 test2(LAGRANGE_RENO);
508 INFO0("***** Test 3 (Max-Min)");
511 INFO0("***** Test 3 (SDP)");
514 INFO0("***** Test 3 (Lagrange - Vegas)");
515 test3(LAGRANGE_VEGAS);
516 INFO0("***** Test 3 (Lagrange - Reno)");
517 test3(LAGRANGE_RENO);