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Mesh communication architecture implementation for Felix Framework comparison.
This module implements an all-to-all mesh communication topology to serve
as a baseline comparison against the spoke-based architecture. The mesh
topology provides O(N²) communication complexity for statistical validation
of Hypothesis H2.
Mathematical Foundation:
- Mesh topology: each agent connects to all other agents
- Message complexity: M_mesh = Σᵢ Σⱼ≠ᵢ m_ij = O(N²)
- Connection count: C_mesh = N(N-1)/2 (undirected connections)
- Latency model: L_ij = α + β·d_ij + ε_ij (distance-dependent)
- Memory overhead: O(N²) connection tracking vs O(N) spoke system
Key Features:
- All-to-all connectivity between agents
- Distance-based message latency simulation
- O(N²) scaling characteristics for comparison
- Performance metrics collection for Hypothesis H2 validation
- Message queuing and processing with delivery guarantees
This implementation supports Hypothesis H2 validation by providing measurable
communication overhead characteristics that demonstrate the complexity
advantage of spoke-based architecture.
Mathematical references:
- docs/hypothesis_mathematics.md, Section H2: Communication complexity analysis
- docs/mathematical_model.md: Theoretical foundations for comparison framework
"""
import time
import math
import statistics
import uuid
from typing import List, Dict, Set, Tuple, Optional, Any
from dataclasses import dataclass
from src.agents.agent import Agent
@dataclass
class MeshMessage:
"""
Message structure for mesh communication system.
Represents messages sent between agents in the mesh topology,
including metadata for latency analysis and routing.
"""
sender_id: str
recipient_id: str
message_type: str
content: Dict[str, Any]
timestamp: float
message_id: Optional[str] = None
def __post_init__(self):
"""Initialize message with validation and ID generation."""
if not self.message_id:
self.message_id = str(uuid.uuid4())
self._validate_message()
def _validate_message(self):
"""Validate message parameters."""
valid_types = {
"TASK_REQUEST", "TASK_RESPONSE", "STATUS_UPDATE",
"COORDINATION", "ERROR"
}
if not self.sender_id or self.sender_id.strip() == "":
raise ValueError("sender_id cannot be empty")
if not self.recipient_id or self.recipient_id.strip() == "":
raise ValueError("recipient_id cannot be empty")
if self.message_type not in valid_types:
raise ValueError(f"Invalid message type: {self.message_type}")
def serialize(self) -> Dict[str, Any]:
"""Serialize message for transmission."""
return {
"sender_id": self.sender_id,
"recipient_id": self.recipient_id,
"message_type": self.message_type,
"content": self.content,
"timestamp": self.timestamp,
"message_id": self.message_id
}
@classmethod
def deserialize(cls, data: Dict[str, Any]) -> 'MeshMessage':
"""Deserialize message from transmission data."""
return cls(
sender_id=data["sender_id"],
recipient_id=data["recipient_id"],
message_type=data["message_type"],
content=data["content"],
timestamp=data["timestamp"],
message_id=data.get("message_id")
)
class MeshConnection:
"""
Connection between two agents in mesh topology.
Manages message queuing, transmission, and latency calculation
for a pair of agents in the mesh network.
"""
def __init__(self, agent_a: str, agent_b: str, distance: float):
"""
Initialize mesh connection between two agents.
Args:
agent_a: ID of first agent
agent_b: ID of second agent
distance: Euclidean distance between agents
Raises:
ValueError: If parameters are invalid
"""
if distance < 0:
raise ValueError("Distance must be non-negative")
if agent_a == agent_b:
raise ValueError("Cannot create connection to self")
# Store agents in canonical order for consistency
if agent_a < agent_b:
self.agent_a = agent_a
self.agent_b = agent_b
else:
self.agent_a = agent_b
self.agent_b = agent_a
self.distance = distance
self.message_queue: List[MeshMessage] = []
self.message_count = 0
self.total_latency = 0.0
self.creation_time = time.perf_counter()
def queue_message(self, message: MeshMessage) -> None:
"""
Queue message for transmission.
Args:
message: Message to queue for delivery
"""
self.message_queue.append(message)
self.message_count += 1
def process_messages(self, base_latency: float, distance_coefficient: float) -> List[MeshMessage]:
"""
Process queued messages with latency calculation.
Implements the latency model: L = α + β·d + ε
where α is base latency, β is distance coefficient, d is distance.
Args:
base_latency: Base processing latency (α)
distance_coefficient: Distance multiplier (β)
Returns:
List of messages ready for delivery
"""
delivered_messages = []
while self.message_queue:
message = self.message_queue.pop(0)
# Calculate latency: L = α + β·d
message_latency = base_latency + distance_coefficient * self.distance
self.total_latency += message_latency
delivered_messages.append(message)
return delivered_messages
def get_metrics(self) -> Dict[str, Any]:
"""
Get connection performance metrics.
Returns:
Dictionary containing connection metrics
"""
average_latency = (
self.total_latency / self.message_count
if self.message_count > 0 else 0.0
)
connection_age = time.perf_counter() - self.creation_time
throughput = self.message_count / connection_age if connection_age > 0 else 0.0
return {
"message_count": self.message_count,
"distance": self.distance,
"total_latency": self.total_latency,
"average_latency": average_latency,
"throughput": throughput,
"queue_size": len(self.message_queue)
}
class MeshCommunication:
"""
Mesh communication system for architecture comparison.
Implements full mesh topology where each agent can communicate
directly with every other agent. Provides O(N²) communication
complexity for statistical comparison against O(N) spoke architecture.
Mathematical Model:
- Connection count: N(N-1)/2 undirected connections
- Message complexity: O(N²) scaling
- Latency distribution: distance-dependent with statistical variation
- Memory overhead: O(N²) vs O(N) for spoke architecture
This implementation supports Hypothesis H2 validation by providing
measurable communication characteristics that demonstrate the
scalability advantage of spoke-based systems.
"""
def __init__(self, max_agents: int, enable_metrics: bool = True):
"""
Initialize mesh communication system.
Args:
max_agents: Maximum number of agents supported
enable_metrics: Whether to collect performance metrics
Raises:
ValueError: If parameters are invalid
"""
if max_agents <= 0:
raise ValueError("max_agents must be positive")
self.max_agents = max_agents
self.enable_metrics = enable_metrics
self.registered_agents: Dict[str, Dict[str, Any]] = {}
self.connections: Dict[str, MeshConnection] = {}
self.message_count = 0
self.total_latency = 0.0
self.creation_time = time.perf_counter()
# Latency model parameters
self.base_latency = 0.001 # 1ms base latency
self.distance_coefficient = 0.0001 # Distance factor
def register_agent(self, agent: Agent) -> Optional[str]:
"""
Register agent in mesh network.
Creates connections to all previously registered agents,
implementing the O(N²) connectivity characteristic of mesh topology.
Args:
agent: Agent to register in the mesh
Returns:
Connection ID for the registered agent, or None if failed
Raises:
ValueError: If agent capacity exceeded
"""
if len(self.registered_agents) >= self.max_agents:
raise ValueError("Maximum agent connections exceeded")
if agent.agent_id in self.registered_agents:
return self.registered_agents[agent.agent_id]["connection_id"]
# Generate unique connection ID
connection_id = f"mesh_{agent.agent_id}_{len(self.registered_agents)}"
# Register agent
self.registered_agents[agent.agent_id] = {
"agent": agent,
"connection_id": connection_id,
"registration_time": time.perf_counter()
}
# Create connections to all other registered agents
for other_agent_id, other_data in self.registered_agents.items():
if other_agent_id != agent.agent_id:
other_agent = other_data["agent"]
# Calculate distance between agents
distance = self._calculate_agent_distance(agent, other_agent)
# Create bidirectional connection
connection_key = self._get_connection_key(agent.agent_id, other_agent_id)
self.connections[connection_key] = MeshConnection(
agent.agent_id, other_agent_id, distance
)
return connection_id
def _calculate_agent_distance(self, agent1: Agent, agent2: Agent) -> float:
"""
Calculate Euclidean distance between two agents.
Args:
agent1: First agent
agent2: Second agent
Returns:
Euclidean distance between agent positions
"""
if agent1.current_position is None or agent2.current_position is None:
# If positions not available, use spawn time difference as proxy
return abs(agent1.spawn_time - agent2.spawn_time) * 100
pos1 = agent1.current_position
pos2 = agent2.current_position
# Calculate 3D Euclidean distance
dx = pos1[0] - pos2[0]
dy = pos1[1] - pos2[1]
dz = pos1[2] - pos2[2]
return math.sqrt(dx*dx + dy*dy + dz*dz)
def _get_connection_key(self, agent_a: str, agent_b: str) -> str:
"""
Get canonical connection key for agent pair.
Args:
agent_a: ID of first agent
agent_b: ID of second agent
Returns:
Canonical connection key (lexicographically ordered)
"""
if agent_a < agent_b:
return f"{agent_a}↔{agent_b}"
else:
return f"{agent_b}↔{agent_a}"
def send_message(self, message: MeshMessage) -> bool:
"""
Send message between agents in mesh topology.
Args:
message: Message to send
Returns:
True if message was queued successfully, False otherwise
"""
# Verify both agents are registered
if (message.sender_id not in self.registered_agents or
message.recipient_id not in self.registered_agents):
return False
# Find connection for this agent pair
connection_key = self._get_connection_key(message.sender_id, message.recipient_id)
if connection_key not in self.connections:
return False
# Queue message in connection
connection = self.connections[connection_key]
connection.queue_message(message)
return True
def process_all_messages(self) -> int:
"""
Process all queued messages across all connections.
Returns:
Number of messages processed
"""
total_processed = 0
for connection in self.connections.values():
delivered_messages = connection.process_messages(
self.base_latency, self.distance_coefficient
)
total_processed += len(delivered_messages)
if self.enable_metrics:
for message in delivered_messages:
self.message_count += 1
return total_processed
def get_performance_metrics(self) -> Dict[str, Any]:
"""
Collect comprehensive performance metrics.
Returns:
Dictionary containing performance metrics for analysis
"""
connection_count = len(self.connections)
agent_count = len(self.registered_agents)
# Collect latency statistics
latencies = []
for connection in self.connections.values():
if connection.message_count > 0:
avg_latency = connection.total_latency / connection.message_count
latencies.append(avg_latency)
average_latency = statistics.mean(latencies) if latencies else 0.0
# Calculate throughput
system_age = time.perf_counter() - self.creation_time
throughput = self.message_count / system_age if system_age > 0 else 0.0
# Message density (messages per connection)
message_density = (
self.message_count / connection_count
if connection_count > 0 else 0.0
)
return {
"total_messages": self.message_count,
"connection_count": connection_count,
"agent_count": agent_count,
"average_latency": average_latency,
"throughput": throughput,
"message_density": message_density,
"system_age": system_age
}
def get_comparison_metrics(self) -> Dict[str, Any]:
"""
Get metrics specifically for architecture comparison.
Returns:
Dictionary with metrics for mesh vs spoke comparison
"""
agent_count = len(self.registered_agents)
connection_count = len(self.connections)
# Calculate memory overhead (connections + message queues)
total_queue_size = sum(len(conn.message_queue) for conn in self.connections.values())
# Collect distance statistics
distances = [conn.distance for conn in self.connections.values()]
max_distance = max(distances) if distances else 0.0
# Calculate expected O(N²) theoretical connections
theoretical_connections = agent_count * (agent_count - 1) // 2 if agent_count > 1 else 0
return {
"memory_overhead": connection_count + total_queue_size,
"connection_memory": connection_count,
"message_queue_size": total_queue_size,
"max_distance": max_distance,
"theoretical_connections": theoretical_connections,
"throughput": self.get_performance_metrics()["throughput"]
}
def get_hypothesis_h2_metrics(self) -> Dict[str, Any]:
"""
Get metrics specifically for Hypothesis H2 validation.
Collects statistical measures needed for comparing mesh vs spoke
communication overhead and complexity.
Returns:
Dictionary with H2 validation metrics
"""
agent_count = len(self.registered_agents)
connection_count = len(self.connections)
# Collect latency data for statistical tests
latencies = []
for connection in self.connections.values():
if connection.message_count > 0:
avg_latency = connection.total_latency / connection.message_count
latencies.append(avg_latency)
average_latency = statistics.mean(latencies) if latencies else 0.0
latency_variance = statistics.variance(latencies) if len(latencies) > 1 else 0.0
# Message complexity (actual connections vs theoretical O(N²))
theoretical_max_connections = agent_count * (agent_count - 1) // 2
message_complexity = connection_count
# Communication distance bounds
distances = [conn.distance for conn in self.connections.values()]
max_distance = max(distances) if distances else 0.0
# Connection overhead (O(N²) scaling)
connection_overhead = connection_count
# Throughput calculation
system_age = time.perf_counter() - self.creation_time
throughput_msgs_per_sec = self.message_count / system_age if system_age > 0 else 0.0
return {
"message_complexity": message_complexity,
"average_latency": average_latency,
"latency_variance": latency_variance,
"connection_overhead": connection_overhead,
"max_distance": max_distance,
"throughput_msgs_per_sec": throughput_msgs_per_sec,
"theoretical_max_connections": theoretical_max_connections,
"scaling_factor": (
connection_overhead / agent_count if agent_count > 0 else 0.0
)
}
def __repr__(self) -> str:
"""String representation for debugging."""
return (f"MeshCommunication(agents={len(self.registered_agents)}, "
f"connections={len(self.connections)}, messages={self.message_count})")
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