+SG_BEGIN_DECL()
+
+/** @{ @ingroup SURF_lmm */
+/**
+ * @brief Create a new Linear MaxMim system
+ *
+ * @param selective_update [description]
+ */
+XBT_PUBLIC(lmm_system_t) lmm_system_new(int selective_update);
+
+/**
+ * @brief Free an existing Linear MaxMin system
+ *
+ * @param sys The lmm system to free
+ */
+XBT_PUBLIC(void) lmm_system_free(lmm_system_t sys);
+
+/**
+ * @brief Create a new Linear MaxMin constraint
+ *
+ * @param sys The system in which we add a constraint
+ * @param id Data associated to the constraint (e.g.: a network link)
+ * @param bound_value The bound value of the constraint
+ */
+XBT_PUBLIC(lmm_constraint_t) lmm_constraint_new(lmm_system_t sys, void *id,
+ double bound_value);
+
+/**
+ * @brief Share a constraint
+ * @details [long description]
+ *
+ * @param cnst The constraint to share
+ */
+void lmm_constraint_shared(lmm_constraint_t cnst);
+
+/**
+ * @brief Check if a constraint is shared (shared by default)
+ *
+ * @param cnst The constraint to share
+ * @return 1 if shared, 0 otherwise
+ */
+int lmm_constraint_is_shared(lmm_constraint_t cnst);
+
+/**
+ * @brief Free a constraint
+ *
+ * @param sys The system associated to the constraint
+ * @param cnst The constraint to free
+ */
+void lmm_constraint_free(lmm_system_t sys, lmm_constraint_t cnst);
+
+/**
+ * @brief Get the usage of the constraint after the last lmm solve
+ *
+ * @param cnst A constraint
+ * @return The usage of the constraint
+ */
+double lmm_constraint_get_usage(lmm_constraint_t cnst);
+
+/**
+ * @brief Create a new Linear MaxMin variable
+ *
+ * @param sys The system in which we add a constaint
+ * @param id Data associated to the variable (e.g.: a network communication)
+ * @param weight_value The weight of the variable (0.0 if not used)
+ * @param bound The maximum value of the variable (-1.0 if no maximum value)
+ * @param number_of_constraints The maximum number of constraint to associate to the variable
+ */
+XBT_PUBLIC(lmm_variable_t) lmm_variable_new(lmm_system_t sys, void *id,
+ double weight_value,
+ double bound,
+ int number_of_constraints);
+/**
+ * @brief Free a variable
+ *
+ * @param sys The system associated to the variable
+ * @param var The variable to free
+ */
+XBT_PUBLIC(void) lmm_variable_free(lmm_system_t sys, lmm_variable_t var);
+
+/**
+ * @brief Get the value of the variable after the last lmm solve
+ *
+ * @param var A variable
+ * @return The value of the variable
+ */
+XBT_PUBLIC(double) lmm_variable_getvalue(lmm_variable_t var);
+
+/**
+ * @brief Get the maximum value of the variable (-1.0 if no maximum value)
+ *
+ * @param var A variable
+ * @return The bound of the variable
+ */
+XBT_PUBLIC(double) lmm_variable_getbound(lmm_variable_t var);
+
+/**
+ * @brief Remove a variable from a constraint
+ *
+ * @param sys A system
+ * @param cnst A constraint
+ * @param var The variable to remove
+ */
+XBT_PUBLIC(void) lmm_shrink(lmm_system_t sys, lmm_constraint_t cnst,
+ lmm_variable_t var);
+
+/**
+ * @brief Associate a variable to a constraint with a coefficient
+ *
+ * @param sys A system
+ * @param cnst A constraint
+ * @param var A variable
+ * @param value The coefficient associated to the variable in the constraint
+ */
+XBT_PUBLIC(void) lmm_expand(lmm_system_t sys, lmm_constraint_t cnst,
+ lmm_variable_t var, double value);
+
+/**
+ * @brief Add value to the coefficient between a constraint and a variable or
+ * create one
+ *
+ * @param sys A system
+ * @param cnst A constraint
+ * @param var A variable
+ * @param value The value to add to the coefficient associated to the variable in the constraint
+ */
+void lmm_expand_add(lmm_system_t sys, lmm_constraint_t cnst,
+ lmm_variable_t var, double value);
+
+/**
+ * @brief Get the numth constraint associated to the variable
+ *
+ * @param sys The system associated to the variable (not used)
+ * @param var A variable
+ * @param num The rank of constraint we want to get
+ * @return The numth constraint
+ */
+lmm_constraint_t lmm_get_cnst_from_var(lmm_system_t sys,
+ lmm_variable_t var, int num);
+
+/**
+ * @brief Get the weigth of the numth constraint associated to the variable
+ *
+ * @param sys The system associated to the variable (not used)
+ * @param var A variable
+ * @param num The rank of constraint we want to get
+ * @return The numth constraint
+ */
+double lmm_get_cnst_weight_from_var(lmm_system_t sys, lmm_variable_t var,
+ int num);
+
+/**
+ * @brief Get the number of constraint associated to a variable
+ *
+ * @param sys The system associated to the variable (not used)
+ * @param var A variable
+ * @return The number of constraint associated to the variable
+ */
+int lmm_get_number_of_cnst_from_var(lmm_system_t sys, lmm_variable_t var);
+
+/**
+ * @brief Get a var associated to a constraint
+ * @details Get the first variable of the next variable of elem if elem is not NULL
+ *
+ * @param sys The system associated to the variable (not used)
+ * @param cnst A constraint
+ * @param elem A element of constraint of the constraint or NULL
+ * @return A variable associated to a constraint
+ */
+lmm_variable_t lmm_get_var_from_cnst(lmm_system_t sys,
+ lmm_constraint_t cnst,
+ lmm_element_t * elem);
+
+/**
+ * @brief Get the first active constraint of a system
+ *
+ * @param sys A system
+ * @return The first active constraint
+ */
+lmm_constraint_t lmm_get_first_active_constraint(lmm_system_t sys);
+
+/**
+ * @brief Get the next active constraint of a constraint in a system
+ *
+ * @param sys A system
+ * @param cnst An active constraint of the system
+ *
+ * @return The next active constraint
+ */
+lmm_constraint_t lmm_get_next_active_constraint(lmm_system_t sys,
+ lmm_constraint_t cnst);
+
+#ifdef HAVE_LATENCY_BOUND_TRACKING
+XBT_PUBLIC(int) lmm_is_variable_limited_by_latency(lmm_variable_t var);
+#endif
+
+/**
+ * @brief Get the data associated to a constraint
+ *
+ * @param cnst A constraint
+ * @return The data associated to the constraint
+ */
+void *lmm_constraint_id(lmm_constraint_t cnst);
+
+/**
+ * @brief Get the data associated to a variable
+ *
+ * @param var A variable
+ * @return The data associated to the variable
+ */
+void *lmm_variable_id(lmm_variable_t var);
+
+/**
+ * @brief Update the value of element linking the constraint and the variable
+ *
+ * @param sys A system
+ * @param cnst A constraint
+ * @param var A variable
+ * @param value The new value
+ */
+void lmm_update(lmm_system_t sys, lmm_constraint_t cnst,
+ lmm_variable_t var, double value);
+
+/**
+ * @brief Update the bound of a variable
+ *
+ * @param sys A system
+ * @param var A constraint
+ * @param bound The new bound
+ */
+void lmm_update_variable_bound(lmm_system_t sys, lmm_variable_t var,
+ double bound);