#include "surf/maxmin.h"
#include "xbt/log.h"
#include "xbt/module.h"
+#include <math.h>
-
-
-XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test,"Messages specific for surf example");
+XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test,
+ "Messages specific for surf example");
#define PRINT_VAR(var) DEBUG1(#var " = %g",lmm_variable_getvalue(var));
+#define SHOW_EXPR(expr) DEBUG1(#expr " = %g",expr);
/* */
/* ______ */
LAGRANGE_VEGAS,
} method_t;
+static double dichotomy(double func(double), double min, double max,
+ double min_error)
+{
+ double middle;
+ double min_func, max_func, middle_func;
+
+ double overall_error = 2 * min_error;
+
+ min_func = func(min);
+ max_func = func(max);
+
+ if ((min_func > 0 && max_func > 0))
+ return min - 1.0;
+ if ((min_func < 0 && max_func < 0))
+ return max + 1.0;
+ if ((min_func > 0 && max_func < 0))
+ abort();
+
+ while (overall_error > min_error) {
+ if ((min_func > 0 && max_func > 0) ||
+ (min_func < 0 && max_func < 0) || (min_func > 0 && max_func < 0)) {
+ abort();
+ }
+
+ middle = (max + min) / 2.0;
+ if ((min == middle) || (max == middle)) {
+ break;
+ }
+ middle_func = func(middle);
+
+ if (middle_func < 0) {
+ min = middle;
+ min_func = middle_func;
+ overall_error = max - middle_func;
+ } else if (middle_func > 0) {
+ max = middle;
+ max_func = middle_func;
+ overall_error = max - middle_func;
+ } else {
+ overall_error = 0;
+ }
+ }
+ return ((min + max) / 2.0);
+}
+
+double a_test_1 = 0;
+double b_test_1 = 0;
+static double diff_lagrange_test_1(double x)
+{
+ return -(3 / (1 + 3 * x * x / 2) -
+ 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
+ 3 / (2 *
+ (3 * (b_test_1 - a_test_1 + x) *
+ (b_test_1 - a_test_1 + x) / 2 + 1)));
+}
+
void test1(method_t method);
void test1(method_t method)
{
- lmm_system_t Sys = NULL ;
+ lmm_system_t Sys = NULL;
lmm_constraint_t L1 = NULL;
lmm_constraint_t L2 = NULL;
lmm_constraint_t L3 = NULL;
lmm_variable_t R_2 = NULL;
lmm_variable_t R_3 = NULL;
- if(method==LAGRANGE_VEGAS){
+ double a = 1.0, b = 10.0;
+
+ if (method == LAGRANGE_VEGAS) {
//set default functions for TCP Vegas
lmm_set_default_protocol_function(func_vegas_fpi);
- }else if(method==LAGRANGE_RENO){
+ } else if (method == LAGRANGE_RENO) {
//set default functions for TCP Reno
lmm_set_default_protocol_function(func_reno_fpi);
}
Sys = lmm_system_new();
- L1 = lmm_constraint_new(Sys, (void *) "L1", 1.0);
- L2 = lmm_constraint_new(Sys, (void *) "L2", 10.0);
- L3 = lmm_constraint_new(Sys, (void *) "L3", 1.0);
+ L1 = lmm_constraint_new(Sys, (void *) "L1", a);
+ L2 = lmm_constraint_new(Sys, (void *) "L2", b);
+ L3 = lmm_constraint_new(Sys, (void *) "L3", a);
- R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0 , -1.0 , 3);
- R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0 , -1.0 , 1);
- R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0 , -1.0 , 1);
- R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0 , -1.0 , 1);
+ R_1_2_3 = lmm_variable_new(Sys, (void *) "R 1->2->3", 1.0, -1.0, 3);
+ R_1 = lmm_variable_new(Sys, (void *) "R 1", 1.0, -1.0, 1);
+ R_2 = lmm_variable_new(Sys, (void *) "R 2", 1.0, -1.0, 1);
+ R_3 = lmm_variable_new(Sys, (void *) "R 3", 1.0, -1.0, 1);
lmm_update_variable_latency(Sys, R_1_2_3, 1.0);
- lmm_update_variable_latency(Sys,R_1, 1.0);
- lmm_update_variable_latency(Sys,R_2, 1.0);
- lmm_update_variable_latency(Sys,R_3, 1.0);
+ lmm_update_variable_latency(Sys, R_1, 1.0);
+ lmm_update_variable_latency(Sys, R_2, 1.0);
+ lmm_update_variable_latency(Sys, R_3, 1.0);
lmm_expand(Sys, L1, R_1_2_3, 1.0);
lmm_expand(Sys, L2, R_1_2_3, 1.0);
lmm_expand(Sys, L3, R_3, 1.0);
- if(method==MAXMIN){
+ if (method == MAXMIN) {
lmm_solve(Sys);
#ifdef HAVE_SDP
- }else if(method==SDP){
- sdp_solve(Sys);
+ } else if (method == SDP) {
+ sdp_solve(Sys);
#endif
- }else if(method==LAGRANGE_VEGAS){
- //set default functions for TCP Vegas
- lagrange_solve(Sys);
- }else if(method==LAGRANGE_RENO){
- //set default functions for TCP Reno
- lagrange_solve(Sys);
- }else{
- xbt_assert0(0,"Invalid method");
+ } else if (method == LAGRANGE_VEGAS) {
+ double x = 3 * a / 4 - 3 * b / 8 +
+ sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
+ /* Computed with mupad and D_f=1.0 */
+ double max_deviation = 0.0;
+ if (x > a) {
+ x = a;
+ }
+ if (x < 0) {
+ x = 0;
+ }
+
+ lagrange_solve(Sys);
+
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
+
+ if (max_deviation > 1e-8) {
+ DEBUG1("Max Deviation from optimal solution : %g", max_deviation);
+ DEBUG1("Found x = %1.20f", x);
+ DEBUG1("Deviation from optimal solution (R_1): %1.20f",
+ lmm_variable_getvalue(R_1) - x);
+ DEBUG1("Deviation from optimal solution (R_2): %1.20f",
+ lmm_variable_getvalue(R_2) - (b - a + x));
+ DEBUG1("Deviation from optimal solution (R_3): %1.20f",
+ lmm_variable_getvalue(R_3) - x);
+ DEBUG1("Deviation from optimal solution (R_1_2_3): %1.20f",
+ lmm_variable_getvalue(R_1_2_3) - (a - x));
+ }
+ } else if (method == LAGRANGE_RENO) {
+ double x;
+ double max_deviation = 0.0;
+
+ a_test_1 = a;
+ b_test_1 = b;
+ x = dichotomy(diff_lagrange_test_1, 0, a, 1e-8);
+
+ if (x < 0)
+ x = 0;
+ if (x > a)
+ x = a;
+ lagrange_solve(Sys);
+
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_1) - x));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_3) - x));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_2) - (b - a + x)));
+ max_deviation =
+ MAX(max_deviation, fabs(lmm_variable_getvalue(R_1_2_3) - (a - x)));
+
+ if (max_deviation > 1e-8) {
+ DEBUG1("Max Deviation from optimal solution : %g", max_deviation);
+ DEBUG1("Found x = %1.20f", x);
+ DEBUG1("Deviation from optimal solution (R_1): %1.20f",
+ lmm_variable_getvalue(R_1) - x);
+ DEBUG1("Deviation from optimal solution (R_2): %1.20f",
+ lmm_variable_getvalue(R_2) - (b - a + x));
+ DEBUG1("Deviation from optimal solution (R_3): %1.20f",
+ lmm_variable_getvalue(R_3) - x);
+ DEBUG1("Deviation from optimal solution (R_1_2_3): %1.20f",
+ lmm_variable_getvalue(R_1_2_3) - (a - x));
+ }
+ } else {
+ xbt_assert0(0, "Invalid method");
}
PRINT_VAR(R_1_2_3);
PRINT_VAR(R_3);
lmm_system_free(Sys);
-}
+}
void test2(method_t method);
void test2(method_t method)
{
- lmm_system_t Sys = NULL ;
+ lmm_system_t Sys = NULL;
lmm_constraint_t CPU1 = NULL;
lmm_constraint_t CPU2 = NULL;
lmm_variable_t T2 = NULL;
- if(method==LAGRANGE_VEGAS){
+ if (method == LAGRANGE_VEGAS) {
//set default functions for TCP Vegas
lmm_set_default_protocol_function(func_vegas_fpi);
- }else if(method==LAGRANGE_RENO){
+ } else if (method == LAGRANGE_RENO) {
//set default functions for TCP Reno
lmm_set_default_protocol_function(func_reno_fpi);
}
CPU1 = lmm_constraint_new(Sys, (void *) "CPU1", 200.0);
CPU2 = lmm_constraint_new(Sys, (void *) "CPU2", 100.0);
- T1 = lmm_variable_new(Sys, (void *) "T1", 1.0 , -1.0 , 1);
- T2 = lmm_variable_new(Sys, (void *) "T2", 1.0 , -1.0 , 1);
+ T1 = lmm_variable_new(Sys, (void *) "T1", 1.0, -1.0, 1);
+ T2 = lmm_variable_new(Sys, (void *) "T2", 1.0, -1.0, 1);
lmm_update_variable_latency(Sys, T1, 1.0);
lmm_update_variable_latency(Sys, T2, 1.0);
- if(method==MAXMIN){
+ if (method == MAXMIN) {
lmm_solve(Sys);
#ifdef HAVE_SDP
- }else if(method==SDP){
- sdp_solve(Sys);
+ } else if (method == SDP) {
+ sdp_solve(Sys);
#endif
- }else if(method==LAGRANGE_VEGAS){
- //set default functions for TCP Vegas
- lagrange_solve(Sys);
- }else if(method==LAGRANGE_RENO){
- //set default functions for TCP Reno
- lagrange_solve(Sys);
- }else{
- xbt_assert0(0,"Invalid method");
+ } else if (method == LAGRANGE_VEGAS) {
+ lagrange_solve(Sys);
+ } else if (method == LAGRANGE_RENO) {
+ lagrange_solve(Sys);
+ } else {
+ xbt_assert0(0, "Invalid method");
}
PRINT_VAR(T1);
void test3(method_t method);
void test3(method_t method)
{
- int flows=11; //flows and conexions are synonnims ?
- int links=10; //topology info
-
- //just to be carefull
+ int flows = 11;
+ int links = 10;
+
int i = 0;
int j = 0;
double **A;
- lmm_system_t Sys = NULL ;
+ lmm_system_t Sys = NULL;
lmm_constraint_t *tmp_cnst = NULL;
- lmm_variable_t *tmp_var = NULL;
+ lmm_variable_t *tmp_var = NULL;
char **tmp_name;
/*array to add the the constraints of fictiv variables */
- double B[15] = {10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+ double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
+
+ 1, 1, 1, 1, 1
+ };
- 1, 1, 1, 1, 1};
+ A = (double **) calloc(links + 5, sizeof(double));
- A = (double **)calloc(links+5, sizeof(double));
-
- for(i=0 ; i< links+5; i++){
- A[i] = (double *)calloc(flows+5, sizeof(double));
+ for (i = 0; i < links + 5; i++) {
+ A[i] = (double *) calloc(flows + 5, sizeof(double));
- for(j=0 ; j< flows+5; j++){
+ for (j = 0; j < flows + 5; j++) {
A[i][j] = 0.0;
- if(i >= links || j >= flows){
- A[i][j] = 0.0;
+ if (i >= links || j >= flows) {
+ A[i][j] = 0.0;
}
}
}
- /*matrix that store the constraints/topollogy*/
+ /*matrix that store the constraints/topollogy */
/*double A[15][16]=
- {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
+ {{0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0},
{0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
-
+
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}
}; */
- A[0][1] = 1.0;
- A[0][7] = 1.0;
-
- A[1][1] = 1.0;
- A[1][7] = 1.0;
- A[1][8] = 1.0;
+ A[0][1] = 1.0;
+ A[0][7] = 1.0;
+
+ A[1][1] = 1.0;
+ A[1][7] = 1.0;
+ A[1][8] = 1.0;
- A[2][1] = 1.0;
- A[2][8] = 1.0;
+ A[2][1] = 1.0;
+ A[2][8] = 1.0;
- A[2][1] = 1.0;
- A[2][8] = 1.0;
+ A[2][1] = 1.0;
+ A[2][8] = 1.0;
- A[3][8] = 1.0;
+ A[3][8] = 1.0;
- A[4][0] = 1.0;
- A[4][3] = 1.0;
- A[4][9] = 1.0;
+ A[4][0] = 1.0;
+ A[4][3] = 1.0;
+ A[4][9] = 1.0;
- A[5][0] = 1.0;
- A[5][3] = 1.0;
- A[5][4] = 1.0;
- A[5][9] = 1.0;
+ A[5][0] = 1.0;
+ A[5][3] = 1.0;
+ A[5][4] = 1.0;
+ A[5][9] = 1.0;
- A[6][0] = 1.0;
- A[6][4] = 1.0;
- A[6][9] = 1.0;
+ A[6][0] = 1.0;
+ A[6][4] = 1.0;
+ A[6][9] = 1.0;
A[6][10] = 1.0;
- A[7][2] = 1.0;
- A[7][4] = 1.0;
- A[7][6] = 1.0;
- A[7][9] = 1.0;
+ A[7][2] = 1.0;
+ A[7][4] = 1.0;
+ A[7][6] = 1.0;
+ A[7][9] = 1.0;
A[7][10] = 1.0;
- A[8][2] = 1.0;
+ A[8][2] = 1.0;
A[8][10] = 1.0;
- A[9][5] = 1.0;
- A[9][6] = 1.0;
- A[9][9] = 1.0;
+ A[9][5] = 1.0;
+ A[9][6] = 1.0;
+ A[9][9] = 1.0;
+
-
A[10][11] = 1.0;
A[11][12] = 1.0;
A[12][13] = 1.0;
A[14][15] = 1.0;
- if(method==LAGRANGE_VEGAS){
- //set default functions for TCP Vegas
+ if (method == LAGRANGE_VEGAS) {
lmm_set_default_protocol_function(func_vegas_fpi);
- }else if(method==LAGRANGE_RENO){
- //set default functions for TCP Reno
+ } else if (method == LAGRANGE_RENO) {
lmm_set_default_protocol_function(func_reno_fpi);
}
Sys = lmm_system_new();
-
+
tmp_name = (char **) calloc(31, sizeof(char *));
- for(i=0; i<31; i++){
+ for (i = 0; i < 31; i++) {
tmp_name[i] = (char *) calloc(10, sizeof(char));
}
-
+
/*
* Creates the constraints
*/
tmp_cnst = calloc(15, sizeof(lmm_constraint_t));
- for(i=0; i<15; i++){
- sprintf(tmp_name[i], "C_%03d", i);
+ for (i = 0; i < 15; i++) {
+ sprintf(tmp_name[i], "C_%03d", i);
tmp_cnst[i] = lmm_constraint_new(Sys, (void *) tmp_name[i], B[i]);
}
* Creates the variables
*/
tmp_var = calloc(16, sizeof(lmm_variable_t));
- for(j=0; j<16; j++){
- sprintf(tmp_name[i+j], "X_%03d", j);
- tmp_var[j] = lmm_variable_new(Sys, (void *) tmp_name[i+j], 1.0, -1.0 , 15);
+ for (j = 0; j < 16; j++) {
+ sprintf(tmp_name[i + j], "X_%03d", j);
+ tmp_var[j] =
+ lmm_variable_new(Sys, (void *) tmp_name[i + j], 1.0, -1.0, 15);
lmm_update_variable_latency(Sys, tmp_var[j], 1.0);
}
/*
* Link constraints and variables
*/
- for(i=0;i<15;i++) {
- for(j=0; j<16; j++){
- if(A[i][j]){
- lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
+ for (i = 0; i < 15; i++) {
+ for (j = 0; j < 16; j++) {
+ if (A[i][j]) {
+ lmm_expand(Sys, tmp_cnst[i], tmp_var[j], 1.0);
}
}
}
- if(method==MAXMIN){
+ if (method == MAXMIN) {
lmm_solve(Sys);
#ifdef HAVE_SDP
- }else if(method==SDP){
- sdp_solve(Sys);
+ } else if (method == SDP) {
+ sdp_solve(Sys);
#endif
- }else if(method==LAGRANGE_VEGAS){
- //set default functions for TCP Vegas
- lagrange_solve(Sys);
- }else if(method==LAGRANGE_RENO){
- //set default functions for TCP Reno
- lagrange_solve(Sys);
- }else{
- xbt_assert0(0,"Invalid method");
+ } else if (method == LAGRANGE_VEGAS) {
+ lagrange_solve(Sys);
+ } else if (method == LAGRANGE_RENO) {
+ lagrange_solve(Sys);
+ } else {
+ xbt_assert0(0, "Invalid method");
}
- for(j=0; j<16; j++){
+ for (j = 0; j < 16; j++) {
PRINT_VAR(tmp_var[j]);
}
int main(int argc, char **argv)
{
- xbt_init(&argc,argv);
+ xbt_init(&argc, argv);
DEBUG0("**************************** ");
