double partial_diff_mu (double mu, void * param_var);
//computes the value of the differential of constraint param_cnst applied to lambda
double partial_diff_lambda (double lambda, void * param_cnst);
+//auxiliar function to compute the partial_diff
+double diff_aux(lmm_variable_t var, double x);
void lagrange_solve(lmm_system_t sys)
* Lagrange Variables.
*/
int max_iterations= 10000;
- double epsilon_min_error = 1e-4;
- double dicotomi_min_error = 1e-8;
+ double epsilon_min_error = 1e-6;
+ double dicotomi_min_error = 1e-6;
double overall_error = 1;
/*
cnst->lambda = cnst->new_lambda;
}
-
-/* /\* */
-/* * Update values of mu and lambda */
-/* *\/ */
-/* //forall mu_i in mu_1, mu_2, ..., mu_n */
-/* xbt_swag_foreach(var, var_list) { */
-/* var->mu = var->new_mu ; */
-/* } */
-
-/* //forall lambda_i in lambda_1, lambda_2, ..., lambda_n */
-/* xbt_swag_foreach(cnst, cnst_list) { */
-/* cnst->lambda = cnst->new_lambda; */
-/* } */
-
/*
* Now computes the values of each variable (\rho) based on
* the values of \lambda and \mu.
if(var->weight <=0)
var->value = 0.0;
else {
+ //compute sigma_i + mu_i
tmp = 0;
for(i=0; i<var->cnsts_number; i++){
tmp += (var->cnsts[i].constraint)->lambda;
tmp+=var->mu;
}
- if(tmp == 0.0)
- WARN0("CAUTION: division by 0.0");
+ //uses the partial differential inverse function
+ tmp = var->func_fpi(var, tmp);
- //computes de overall_error
- if(overall_error < fabs(var->value - 1.0/tmp)){
- overall_error = fabs(var->value - 1.0/tmp);
+ //computes de overall_error using normalized value
+ if(overall_error < (fabs(var->value - tmp)/tmp) ){
+ overall_error = (fabs(var->value - tmp)/tmp);
}
- var->value = 1.0 / tmp;
+
+ var->value = tmp;
}
- DEBUG4("======> value of var %s (%p) = %e, overall_error = %e", (char *)var->id, var, var->value, overall_error);
+ DEBUG3("======> value of var (%p) = %e, overall_error = %e", var, var->value, overall_error);
}
}
tmp = tmp - cnst->bound;
if(tmp > epsilon_min_error){
- WARN4("The link %s(%p) doesn't match the KKT property, expected less than %e and got %e", (char *)cnst->id, cnst, epsilon_min_error, tmp);
+ WARN3("The link (%p) doesn't match the KKT property, expected less than %e and got %e", cnst, epsilon_min_error, tmp);
}
}
tmp = (var->value - var->bound);
- if(tmp != 0 || var->mu != 0){
- WARN4("The flow %s(%p) doesn't match the KKT property, value expected (=0) got (lambda=%e) (sum_rho=%e)", (char *)var->id, var, var->mu, tmp);
+ if(tmp != 0.0 || var->mu != 0.0){
+ WARN3("The flow (%p) doesn't match the KKT property, value expected (=0) got (lambda=%e) (sum_rho=%e)", var, var->mu, tmp);
}
}
}else if( min_diff < 0 && max_diff > 0 ){
middle = (max + min)/2.0;
middle_diff = diff(middle, var_cnst);
- overall_error = fabs(min - max);
+
+ if(max != 0.0 && min != 0.0){
+ overall_error = fabs(min - max)/max;
+ }
if( middle_diff < 0 ){
min = middle;
*/
double partial_diff_mu(double mu, void *param_var){
double mu_partial=0.0;
+ double sigma_mu=0.0;
lmm_variable_t var = (lmm_variable_t)param_var;
int i;
- //for each link with capacity cnsts[i] that uses flow of variable var do
+ //compute sigma_i
for(i=0; i<var->cnsts_number; i++)
- mu_partial += (var->cnsts[i].constraint)->lambda + mu;
+ sigma_mu += (var->cnsts[i].constraint)->lambda;
- mu_partial = (-1.0/mu_partial) + var->bound;
+ //compute sigma_i + mu_i
+ sigma_mu += mu;
+
+ //use auxiliar function passing (sigma_i + mu_i)
+ mu_partial = diff_aux(var, sigma_mu) ;
+
+ //add the RTT limit
+ mu_partial += var->bound;
return mu_partial;
}
*/
double partial_diff_lambda(double lambda, void *param_cnst){
- double tmp=0.0;
int i;
xbt_swag_t elem_list = NULL;
lmm_element_t elem = NULL;
lmm_variable_t var = NULL;
lmm_constraint_t cnst= (lmm_constraint_t) param_cnst;
double lambda_partial=0.0;
-
+ double sigma_mu=0.0;
elem_list = &(cnst->element_set);
-
- DEBUG2("Computting diff of cnst (%p) %s", cnst, (char *)cnst->id);
+ DEBUG1("Computting diff of cnst (%p)", cnst);
xbt_swag_foreach(elem, elem_list) {
var = elem->variable;
if(var->weight<=0) continue;
- tmp = 0;
-
- //DEBUG2("===> Variable (%p) %s", var, (char *)var->id);
+ //initilize de sumation variable
+ sigma_mu = 0.0;
+ //compute sigma_i of variable var
for(i=0; i<var->cnsts_number; i++){
- tmp += (var->cnsts[i].constraint)->lambda;
- //DEBUG1("======> lambda %e + ", (var->cnsts[i].constraint)->lambda);
+ sigma_mu += (var->cnsts[i].constraint)->lambda;
}
- if(var->bound > 0)
- tmp += var->mu;
-
-
- //DEBUG2("======> lambda - %e + %e ", cnst->lambda, lambda);
+ //add mu_i if this flow has a RTT constraint associated
+ if(var->bound > 0) sigma_mu += var->mu;
- tmp = tmp - cnst->lambda + lambda;
+ //replace value of cnst->lambda by the value of parameter lambda
+ sigma_mu = (sigma_mu - cnst->lambda) + lambda;
- //avoid a disaster value of lambda
- //if(tmp==0) tmp = 10e-8;
-
- lambda_partial += (-1.0/tmp);
-
- //DEBUG1("======> %e ", (-1.0/tmp));
+ //use the auxiliar function passing (\sigma_i + \mu_i)
+ lambda_partial += diff_aux(var, sigma_mu);
}
lambda_partial += cnst->bound;
- //DEBUG1("===> %e ", lambda_partial);
-
return lambda_partial;
}
+
+
+double diff_aux(lmm_variable_t var, double x){
+ double tmp_fp, tmp_fpi, tmp_fpip, result;
+
+ xbt_assert0(var->func_fp, "Initialize the protocol functions first create variables before.");
+
+ tmp_fp = var->func_fp(var, x);
+ tmp_fpi = var->func_fpi(var, x);
+ tmp_fpip = var->func_fpip(var, x);
+
+ result = tmp_fpip*(var->func_fp(var, tmp_fpi));
+ result = result - tmp_fpi;
+
+ result = result - (tmp_fpip * x);
+
+ return result;
+}
+
+
+
+
+
+
+
