inkedYogi_EndpointPortal/Mage/SocialMode.pde
class SocialMode extends GameMode {
    // Town map and other social-related attributes and methods
    
    void initialize() {
        modeName = "social";
        currentHud = new HUD();
        currentHud.townElements();
    }
    
    void update() {
        // Update social mode logic
    }
    
    void draw() {
        // Draw social mode visuals
    }
    
    void requestToJoinFaction(PlayerSheaf playerSheaf, FactionSheaf factionSheaf) {
        if(factionSheaf.approveRequest()) {
            playerSheaf.addFactionSheaf(factionSheaf);
            playerSheaf.merge(factionSheaf);
        }
    }
    
    void engageInConversation(PlayerSheaf playerSheaf, Denizen denizen) {
        LocalSection conversationSheaf = new LocalSection();
        
        // Add factoids from the denizen's special sheaf
        for(Factoid factoid : denizen.getSpecialSheaf().getFactoids()) {
            conversationSheaf.addFactoid(factoid);
        }
        
        // Add factoids from the player's sheaf
        for(Factoid factoid : playerSheaf.getFactoids()) {
            conversationSheaf.addFactoid(factoid);
        }
        
        // Merge the unique factoids from the conversation sheaf
        playerSheaf.merge(playerSheaf.findUniqueFactoids(conversationSheaf.getFactoids()));
    }
    
    /*
    To create a knowledge flow calculator, you'll need the following variables and equations:
    
    Variables:
    
    faction_relationship_matrix: A matrix representing the relationships between factions, with continuous values in the range [-1, 1]. Each element (i, j) in the matrix represents the relationship between Faction i and Faction j.
    
    faction_languages: A data structure (e.g., dictionary) containing the primary and secondary languages spoken by each faction.
    
    k: Apositive constant that determines the steepness of the sigmoid function used for calculating the knowledge-sharing probability.
    
    language_compatibility_matrix: A matrix representing the compatibility between different languages. Each element (i, j) in the matrix represents the compatibility between Language i and Language j, with values between 0 (no common language) and 1 (same language).
    
    scroll_exchange_factors: A set of factors related to the scroll exchange process, such as scroll quality, encryption, and expertise of the receiving faction in deciphering the scroll. These factors can be represented as a data structure (e.g., dictionary) with appropriate weights or multipliers.
    
    Equations:
    
    Knowledge-sharing probability:
    knowledge_sharing_probability = 1 / (1 + exp(-k * faction_relationship_value))
    
    where faction_relationship_value is an element from the faction_relationship_matrix.
    
    Language compatibility:
    language_compatibility = language_compatibility_matrix[language_i][language_j]
    
    where language_i and language_j are the languages of the interacting factions, and language_compatibility_matrix is the precomputed matrix of language compatibility values.
    
    Knowledge transfer function:
    knowledge_transfer = knowledge_sharing_probability * language_compatibility * scroll_exchange_factors
    */
}