addSystem ( system , priorityGroup )	Adds a system to the dependency graph. This method: Checks for duplicate systems Adds the system's dependencies to the graph Applies any missing edges to the new system Registers the system in the appropriate priority group Signature fun addSystem(system: SystemBase, priorityGroup: PriorityGroup = PriorityGroup.NORMAL) Parameters `system: SystemBase` The system instance to add `priorityGroup: PriorityGroup` The priority group to assign to the system (default: NORMAL) Throws `IllegalArgumentException` If the system is already registered
findSystem ( clazz )	Finds a system in the dependency graph. Throws an exception if the system is not found. Signature fun <T : SystemBase> findSystem(clazz: KClass<T>): T Parameters `clazz: KClass` The class reference of the system to find Returns `SystemDAG` The system instance Throws `Exception` If the system is not registered with the SystemManager
getEarlySystems ()	Gets the list of early systems that runs before all other systems. Signature fun getEarlySystems(): List<SystemBase> Returns `List` The list of early systems
getLateSystems ()	Gets the list of late systems that runs after all other systems. Signature fun getLateSystems(): List<SystemBase> Returns `List` The list of late systems
getUnorderedLateExecuteSystems ()	Gets the list of all systems that implement LateExecuteSystem that have been added to the DAG. The order of the systems is NOT guaranteed. Signature fun getUnorderedLateExecuteSystems(): List<SystemBaseWithLateExecute> Returns `List` The list of all LateExecuteSystems in the DAG (unordered)
removeSystem ( clazz )	Removes a system from the dependency graph. Signature fun <T : SystemBase> removeSystem(clazz: KClass<T>): Boolean Parameters `clazz: KClass` The class reference of the system to remove Returns `Boolean` True if the system was found and removed, false otherwise
removeSystem ()	Removes a system from the dependency graph using reified type parameter. Signature inline fun <T : SystemBase> removeSystem(): Boolean Returns `Boolean` True if the system was found and removed, false otherwise
setEarlySystems ( earlySystems )	Sets the list of early systems that runs before all other systems. Signature fun setEarlySystems(earlySystems: List<SystemBase>) Parameters `earlySystems: List` The list of early systems Throws `RuntimeException` If early systems have already been set
setLateSystems ( lateSystems )	Sets the list of late systems that runs after all other systems. Signature fun setLateSystems(lateSystems: List<SystemBase>) Parameters `lateSystems: List` The list of late systems Throws `RuntimeException` If late systems have already been set
topologicalSortWithCycleDetection ()	Performs a topological sort of the systems based on their dependencies. This method: Validates that all required dependencies are present Detects and reports any dependency cycles Ensures systems are ordered according to their priority groups Ensures systems within each priority group respect their dependencies Signature fun topologicalSortWithCycleDetection(): MutableList<SystemBase> Returns `MutableList` A sorted list of systems in the order they should be executed Throws `RuntimeException` If required dependencies are missing or if a cycle is detected
tryFindSystem ( clazz )	Attempts to find a system in the dependency graph. Signature fun <T : SystemBase> tryFindSystem(clazz: KClass<T>): T? Parameters `clazz: KClass` The class reference of the system to find Returns `SystemDAG?` The system instance if found, null otherwise