3.1 Core Functions

This section details the core functions that form the backbone of our Neural Snake AI system. These functions handle essential operations across different system components.

3.1.1 Neural Network Functions

class NeuralNetworkFunctions {
    // Training function with backpropagation
    train(inputs, targets, learningRate = 0.1) {
        // Forward pass
        const outputs = this.feedforward(inputs);
        
        // Convert targets to matrix
        const targets_matrix = Matrix.fromArray(targets);
        
        // Calculate output layer errors
        const output_errors = Matrix.subtract(targets_matrix, outputs);
        
        // Calculate gradients
        const gradients = Matrix.map(outputs, x => x * (1 - x));
        gradients.multiply(output_errors);
        gradients.multiply(learningRate);
        
        // Update weights and biases
        this.weightsHO.add(gradients);
        this.biasO.add(gradients);
        
        return outputs;
    }

    // Mutation function for genetic algorithm
    mutate(mutationRate = 0.1) {
        function mutateValue(val) {
            if (Math.random() < mutationRate) {
                return val + randomGaussian() * 0.5;
            }
            return val;
        }

        this.weightsIH.map(mutateValue);
        this.weightsHO.map(mutateValue);
        this.biasH.map(mutateValue);
        this.biasO.map(mutateValue);
    }
}

3.1.2 Game Logic Functions

class GameFunctions {
    // Snake movement control
    moveSnake(direction) {
        const head = this.snake[0];
        let newHead;

        switch(direction) {
            case 'up':
                newHead = { x: head.x, y: head.y - 1 };
                break;
            case 'down':
                newHead = { x: head.x, y: head.y + 1 };
                break;
            case 'left':
                newHead = { x: head.x - 1, y: head.y };
                break;
            case 'right':
                newHead = { x: head.x + 1, y: head.y };
                break;
        }

        // Handle wall collision
        newHead.x = (newHead.x + this.gridSize) % this.gridSize;
        newHead.y = (newHead.y + this.gridSize) % this.gridSize;

        this.snake.unshift(newHead);
        
        // Remove tail unless food is eaten
        if (!this.checkFoodCollision(newHead)) {
            this.snake.pop();
        }
    }

    // Vision calculation for neural network input
    calculateVision() {
        const vision = [];
        const directions = [
            { x: 0, y: -1 },  // up
            { x: 1, y: -1 },  // up-right
            { x: 1, y: 0 },   // right
            { x: 1, y: 1 },   // down-right
            { x: 0, y: 1 },   // down
            { x: -1, y: 1 },  // down-left
            { x: -1, y: 0 },  // left
            { x: -1, y: -1 }  // up-left
        ];

        const head = this.snake[0];
        
        for (let direction of directions) {
            vision.push(
                this.lookInDirection(head, direction, 'wall'),
                this.lookInDirection(head, direction, 'food'),
                this.lookInDirection(head, direction, 'body')
            );
        }

        return vision;
    }
}

3.1.3 Blockchain Integration Functions

class BlockchainFunctions {
    // Transaction processing
    async processTransaction(transaction) {
        try {
            if (await this.validateTransaction(transaction)) {
                const moveCommand = this.generateMoveCommand(transaction);
                this.queue.enqueue(moveCommand);
                await this.updateGameState(moveCommand);
                return true;
            }
            return false;
        } catch (error) {
            this.handleError(error);
            return false;
        }
    }

    // State synchronization
    async syncGameState() {
        const currentState = {
            snake: this.game.getSnakePosition(),
            food: this.game.getFoodPosition(),
            score: this.game.getScore(),
            moves: this.game.getMoveCount()
        };

        try {
            await this.stateManager.saveState(currentState);
            this.broadcastState(currentState);
        } catch (error) {
            this.handleStateError(error);
        }
    }
}

3.1.4 Data Management Functions

class DataManagement {
    // State persistence
    async saveGameState(state) {
        const stateData = {
            timestamp: Date.now(),
            gameState: state,
            networkWeights: this.neuralNetwork.getWeights(),
            performance: this.getPerformanceMetrics()
        };

        try {
            await this.storage.save('gameState', stateData);
            return true;
        } catch (error) {
            console.error('State save failed:', error);
            return false;
        }
    }

    // Performance metrics calculation
    calculateMetrics() {
        return {
            averageScore: this.calculateAverageScore(),
            survivalTime: this.calculateSurvivalTime(),
            efficiencyRate: this.calculateEfficiencyRate(),
            learningProgress: this.calculateLearningProgress()
        };
    }
}

3.1.5 Error Handling Functions

class ErrorHandling {
    // Global error handler
    handleError(error, context) {
        const errorLog = {
            timestamp: new Date().toISOString(),
            error: error.message,
            stack: error.stack,
            context: context
        };

        // Log error
        console.error('Error occurred:', errorLog);

        // Attempt recovery
        this.attemptRecovery(context);

        // Notify monitoring system
        this.notifyMonitoring(errorLog);
    }

    // Recovery mechanism
    attemptRecovery(context) {
        switch(context) {
            case 'network':
                this.restartNeuralNetwork();
                break;
            case 'blockchain':
                this.reconnectBlockchain();
                break;
            case 'game':
                this.resetGameState();
                break;
            default:
                this.performGeneralRecovery();
        }
    }
}

3.1.6 Integration Points

The core functions are integrated through well-defined interfaces:

1. Neural Network ↔ Game Logic

   • Vision data transfer

   • Decision implementation

   • Performance feedback

2. Game Logic ↔ Blockchain

   • Movement commands

   • State updates

   • Transaction processing

3. Data Management ↔ All Components

   • State persistence

   • Configuration management

   • Performance monitoring

These core functions form the foundation of our system's functionality, enabling smooth interaction between different components while maintaining high performance and reliability.