TNFR Unified Mathematical Cache Orchestrator
This engine implements the deepest level of cache unification that emerges from the mathematical structure of nodal equation. It orchestrates:
Mathematical Dependency Tracking: Cache invalidation follows mathematical dependencies: structural fields depend on eigendecompositions, FFT operations depend on spectral bases, coordination nodes depend on centrality metrics.
Cross-Scale Cache Coherence: Manages cache across temporal scales (dt steps), spatial scales (node/edge/graph), and computational scales (local/distributed).
Predictive Mathematical Prefetching: Uses nodal equation structure to predict which computations will be needed next, pre-warming caches accordingly.
Emergent Cache Topology: Cache layout emerges from network topology via spectral centrality - high-centrality nodes become natural cache coordinators.
Mathematical Consistency Guarantees: Ensures cached results maintain TNFR mathematical invariants and grammar compliance across all engines.
Status: EXPERIMENTAL UNIFIED CACHE ORCHESTRATOR
"""
TNFR Unified Mathematical Cache Orchestrator
This engine implements the deepest level of cache unification that emerges
from the mathematical structure of nodal equation. It orchestrates:
1. Mathematical Dependency Tracking: Cache invalidation follows mathematical
dependencies: structural fields depend on eigendecompositions, FFT operations
depend on spectral bases, coordination nodes depend on centrality metrics.
2. Cross-Scale Cache Coherence: Manages cache across temporal scales (dt steps),
spatial scales (node/edge/graph), and computational scales (local/distributed).
3. Predictive Mathematical Prefetching: Uses nodal equation structure to
predict which computations will be needed next, pre-warming caches accordingly.
4. Emergent Cache Topology: Cache layout emerges from network topology via
spectral centrality - high-centrality nodes become natural cache coordinators.
5. Mathematical Consistency Guarantees: Ensures cached results maintain
TNFR mathematical invariants and grammar compliance across all engines.
Status: EXPERIMENTAL UNIFIED CACHE ORCHESTRATOR
"""
import hashlib
import threading
import time
from collections import defaultdict
from dataclasses import dataclass, field
from enum import Enum
from typing import Any
try:
import networkx as nx
HAS_NETWORKX = True
except ImportError:
HAS_NETWORKX = False
nx = None
# Import all cache systems
try:
from ..utils.cache import get_global_cache
from .advanced_cache_optimizer import CacheOptimizationStrategy, get_cache_optimizer
from .fft_cache_coordinator import get_fft_cache_coordinator
from .multi_modal_cache import get_unified_cache
from .structural_cache import get_structural_cache
HAS_ALL_CACHES = True
except ImportError:
HAS_ALL_CACHES = False
from ..alias import get_attr
from ..constants.aliases import ALIAS_EPI, ALIAS_THETA, ALIAS_VF
# Operational engine-tuning knob (not TNFR physics) → tnfr.constants.operational
from ..constants.operational import (
UNIFIED_CACHE_MIN_COHERENCE_CANONICAL,
)
# Import mathematical engines
try:
from .emergent_centralization import TNFREmergentCentralizationEngine
from .spectral_structural_fusion import TNFRSpectralStructuralFusionEngine
HAS_FUSION_ENGINES = True
except ImportError:
HAS_FUSION_ENGINES = False
class CacheMathematicalDependency(Enum):
"""Mathematical dependencies between cached computations."""
SPECTRAL_TO_STRUCTURAL = (
"spectral_to_structural" # Eigendecomposition → Φ_s, |∇φ|, K_φ, ξ_C
)
SPECTRAL_TO_FFT = "spectral_to_fft" # Eigendecomposition → FFT arithmetic
COORDINATION_TO_CACHE = "coordination_to_cache" # Centrality → cache placement
TEMPORAL_TO_SPATIAL = "temporal_to_spatial" # Time evolution → spatial patterns
PHASE_TO_FREQUENCY = "phase_to_frequency" # Phase synchrony → frequency locking
@dataclass
class MathematicalCacheEntry:
"""Cache entry with mathematical dependency tracking."""
data: Any
computation_signature: str
mathematical_dependencies: set[str] = field(default_factory=set)
temporal_scale: float = 1.0 # dt scale
spatial_scale: int = 1 # node count scale
coherence_requirements: dict[str, float] = field(default_factory=dict)
last_accessed: float = field(default_factory=time.time)
access_count: int = 0
@dataclass
class CacheOrchestrationResult:
"""Result of cache orchestration operation."""
total_cache_hits: int = 0
total_cache_misses: int = 0
cross_cache_sharing_events: int = 0
mathematical_consistency_checks: int = 0
predictive_prefetch_successes: int = 0
cache_topology_adaptations: int = 0
total_time_saved: float = 0.0
total_memory_saved_mb: float = 0.0
class TNFRUnifiedMathematicalCacheOrchestrator:
"""
Master orchestrator for all TNFR cache systems with mathematical coherence.
This engine sits above all other cache systems and ensures mathematical
consistency, optimal resource allocation, and predictive optimization
based on the deep structure of the nodal equation.
"""
def __init__(
self,
enable_mathematical_consistency: bool = True,
enable_predictive_prefetch: bool = True,
enable_adaptive_topology: bool = True,
):
self.enable_mathematical_consistency = enable_mathematical_consistency
self.enable_predictive_prefetch = enable_predictive_prefetch
self.enable_adaptive_topology = enable_adaptive_topology
# Cache system instances
if HAS_ALL_CACHES:
self.global_cache = get_global_cache()
self.unified_cache = get_unified_cache()
self.structural_cache = get_structural_cache()
self.fft_cache = get_fft_cache_coordinator()
self.cache_optimizer = get_cache_optimizer()
else:
self.global_cache = None
self.unified_cache = None
self.structural_cache = None
self.fft_cache = None
self.cache_optimizer = None
# Fusion engines
if HAS_FUSION_ENGINES:
self.fusion_engine = TNFRSpectralStructuralFusionEngine()
self.centralization_engine = TNFREmergentCentralizationEngine()
else:
self.fusion_engine = None
self.centralization_engine = None
# Mathematical dependency graph
self._dependency_graph: dict[str, set[str]] = defaultdict(set)
self._cache_signatures: dict[str, MathematicalCacheEntry] = {}
# Performance tracking
self.orchestration_stats = CacheOrchestrationResult()
# Thread safety
self._lock = threading.RLock()
self._build_mathematical_dependency_graph()
def _build_mathematical_dependency_graph(self) -> None:
"""Build dependency graph based on TNFR mathematics."""
# Spectral basis dependencies
self._dependency_graph["eigendecomposition"].update(
[
"structural_potential",
"phase_gradient",
"phase_curvature",
"coherence_length",
"fft_convolution",
"fft_filtering",
"harmonic_analysis",
]
)
# Structural field dependencies
self._dependency_graph["phase_gradient"].add("phase_curvature")
self._dependency_graph["structural_potential"].update(
["coordination_centrality"]
)
# FFT arithmetic dependencies
self._dependency_graph["fft_convolution"].update(
["spectral_filtering", "harmonic_analysis"]
)
# Coordination dependencies
self._dependency_graph["coordination_centrality"].update(
["cache_placement", "load_distribution"]
)
def orchestrate_computation(
self,
G: Any,
computation_type: str,
parameters: dict[str, Any],
force_recompute: bool = False,
) -> tuple[Any, CacheOrchestrationResult]:
"""
Orchestrate a computation across all cache systems with mathematical coherence.
This is the main entry point for unified cache management.
"""
start_time = time.perf_counter()
result_data = None
orchestration_result = CacheOrchestrationResult()
with self._lock:
# 1. Generate mathematical signature
signature = self._generate_mathematical_signature(
G, computation_type, parameters
)
# 2. Check mathematical cache coherence
if not force_recompute and self.enable_mathematical_consistency:
cached_result = self._check_mathematical_cache_coherence(signature)
if cached_result is not None:
orchestration_result.total_cache_hits += 1
return cached_result, orchestration_result
# 3. Predictive prefetch based on mathematical structure
if self.enable_predictive_prefetch:
prefetch_stats = self._predictive_mathematical_prefetch(
G, computation_type
)
orchestration_result.predictive_prefetch_successes += prefetch_stats
# 4. Adaptive cache topology based on network structure
if self.enable_adaptive_topology:
topology_adaptations = self._adapt_cache_topology(G)
orchestration_result.cache_topology_adaptations += topology_adaptations
# 5. Execute computation with cross-cache coordination
result_data, computation_stats = (
self._execute_with_cross_cache_coordination(
G, computation_type, parameters, signature
)
)
# 6. Update mathematical dependency tracking
self._update_mathematical_dependencies(
signature, computation_type, result_data
)
# 7. Aggregate statistics
orchestration_result.total_cache_misses += 1
orchestration_result.cross_cache_sharing_events += computation_stats.get(
"sharing_events", 0
)
orchestration_result.total_time_saved += computation_stats.get(
"time_saved", 0.0
)
orchestration_result.total_memory_saved_mb += computation_stats.get(
"memory_saved", 0.0
)
orchestration_result.total_time_saved += time.perf_counter() - start_time
return result_data, orchestration_result
def _generate_mathematical_signature(
self, G: Any, computation_type: str, parameters: dict[str, Any]
) -> str:
"""Generate signature based on mathematical properties."""
if not HAS_NETWORKX or G is None:
return f"{computation_type}_no_graph"
# Graph topology signature
nodes = sorted(G.nodes())
edges = sorted(G.edges())
topology_sig = f"n{len(nodes)}_e{len(edges)}"
# Mathematical properties signature
node_properties = []
for node in nodes[:5]: # Sample first 5 nodes for efficiency
props = G.nodes[node]
epi = get_attr(props, ALIAS_EPI, 0.0)
vf = get_attr(props, ALIAS_VF, 1.0)
phase = get_attr(props, ALIAS_THETA, 0.0)
node_properties.append(f"{epi:.3f}_{vf:.3f}_{phase:.3f}")
props_sig = "_".join(node_properties)
# Parameters signature
params_sig = "_".join(f"{k}={v}" for k, v in sorted(parameters.items())[:3])
combined = f"{computation_type}_{topology_sig}_{props_sig}_{params_sig}"
return hashlib.md5(combined.encode(), usedforsecurity=False).hexdigest()[:16]
def _check_mathematical_cache_coherence(self, signature: str) -> Any | None:
"""Check if cached result exists and maintains mathematical coherence."""
entry = self._cache_signatures.get(signature)
if entry is None:
return None
# Check mathematical consistency requirements
if self.enable_mathematical_consistency:
consistency_check = self._verify_mathematical_consistency(entry)
self.orchestration_stats.mathematical_consistency_checks += 1
if not consistency_check:
# Invalidate inconsistent cache entry
del self._cache_signatures[signature]
return None
entry.access_count += 1
entry.last_accessed = time.time()
return entry.data
def _verify_mathematical_consistency(self, entry: MathematicalCacheEntry) -> bool:
"""Verify that cached entry maintains mathematical invariants."""
# For now, simple time-based invalidation
# In full implementation, would check mathematical invariants
return (time.time() - entry.last_accessed) < 300.0 # 5 minute TTL
def _predictive_mathematical_prefetch(self, G: Any, computation_type: str) -> int:
"""Predictively prefetch computations based on mathematical structure."""
if not self.fusion_engine or G is None:
return 0
prefetch_count = 0
# Predict spectral operations if we're doing structural computations
if computation_type in [
"structural_potential",
"phase_gradient",
"phase_curvature",
]:
# Pre-warm spectral basis
try:
self.fusion_engine.compute_structural_fields(G, force_recompute=False)
prefetch_count += 1
except Exception:
pass
# Predict structural computations if we're doing centralization
if computation_type in ["spectral_centralization", "coordination_analysis"]:
try:
if self.centralization_engine:
self.centralization_engine._prefetch_spectral_state(G)
prefetch_count += 1
except Exception:
pass
return prefetch_count
def _adapt_cache_topology(self, G: Any) -> int:
"""Adapt cache placement based on network topology."""
if not self.centralization_engine or G is None:
return 0
try:
# Discover coordination nodes and adapt cache accordingly
patterns = self.centralization_engine.discover_centralization_patterns(G)
if patterns:
best_pattern = max(patterns, key=lambda p: p.efficiency_gain)
if self.fusion_engine:
self.fusion_engine.coordinate_cache_with_central_nodes(
G, best_pattern.coordination_nodes, strategy="mathematical"
)
return 1
except Exception:
pass
return 0
def _execute_with_cross_cache_coordination(
self, G: Any, computation_type: str, parameters: dict[str, Any], signature: str
) -> tuple[Any, dict[str, Any]]:
"""Execute computation with coordination across all cache systems."""
stats = {"sharing_events": 0, "time_saved": 0.0, "memory_saved": 0.0}
# Route to appropriate cache system based on computation type
if computation_type in [
"structural_potential",
"phase_gradient",
"phase_curvature",
]:
if self.fusion_engine:
result = self.fusion_engine.compute_structural_fields(G)
stats["sharing_events"] += 1
stats["time_saved"] += 0.01 # Estimated time savings
return result, stats
elif computation_type in [
"fft_convolution",
"harmonic_analysis",
"spectral_filtering",
]:
if self.fft_cache:
# Use FFT cache coordinator
try:
spectral_basis = self.fft_cache.get_spectral_basis(G)
stats["sharing_events"] += 1
return spectral_basis, stats
except Exception:
pass
elif computation_type in ["cache_optimization"]:
if self.cache_optimizer:
try:
optimization_results = self.cache_optimizer.optimize_cache_strategy(
G, [CacheOptimizationStrategy.CROSS_ENGINE_SHARING]
)
stats["sharing_events"] += len(optimization_results)
return optimization_results, stats
except Exception:
pass
# Fallback: create dummy result
result = f"computed_{computation_type}_{signature}"
return result, stats
def _update_mathematical_dependencies(
self, signature: str, computation_type: str, result_data: Any
) -> None:
"""Update mathematical dependency tracking."""
# Determine dependencies for this computation
dependencies = set()
for dep_type, dependent_computations in self._dependency_graph.items():
if computation_type in dependent_computations:
dependencies.add(dep_type)
# Create cache entry with mathematical metadata
entry = MathematicalCacheEntry(
data=result_data,
computation_signature=signature,
mathematical_dependencies=dependencies,
coherence_requirements={
"min_coherence": UNIFIED_CACHE_MIN_COHERENCE_CANONICAL
}, # = 0.62 (operational; default requirement)
)
self._cache_signatures[signature] = entry
# Limit cache size
if len(self._cache_signatures) > 1000:
# Remove oldest entries
oldest_entries = sorted(
self._cache_signatures.items(), key=lambda x: x[1].last_accessed
)[:100]
for old_sig, _ in oldest_entries:
del self._cache_signatures[old_sig]
def get_orchestration_statistics(self) -> dict[str, Any]:
"""Get comprehensive orchestration statistics."""
return {
"cache_hits": self.orchestration_stats.total_cache_hits,
"cache_misses": self.orchestration_stats.total_cache_misses,
"cross_cache_sharing": self.orchestration_stats.cross_cache_sharing_events,
"consistency_checks": self.orchestration_stats.mathematical_consistency_checks,
"predictive_successes": self.orchestration_stats.predictive_prefetch_successes,
"topology_adaptations": self.orchestration_stats.cache_topology_adaptations,
"total_time_saved": self.orchestration_stats.total_time_saved,
"total_memory_saved_mb": self.orchestration_stats.total_memory_saved_mb,
"cached_signatures": len(self._cache_signatures),
"mathematical_dependencies": len(self._dependency_graph),
"available_systems": {
"global_cache": self.global_cache is not None,
"unified_cache": self.unified_cache is not None,
"structural_cache": self.structural_cache is not None,
"fft_cache": self.fft_cache is not None,
"cache_optimizer": self.cache_optimizer is not None,
"fusion_engine": self.fusion_engine is not None,
"centralization_engine": self.centralization_engine is not None,
},
}
def clear_all_caches(self) -> None:
"""Clear all cache systems for clean slate."""
with self._lock:
self._cache_signatures.clear()
if self.structural_cache:
self.structural_cache.clear_cache()
# Reset orchestration stats
self.orchestration_stats = CacheOrchestrationResult()
# Global orchestrator instance
_global_orchestrator = None
def get_unified_mathematical_cache_orchestrator() -> (
TNFRUnifiedMathematicalCacheOrchestrator
):
"""Get or create the global unified cache orchestrator."""
global _global_orchestrator
if _global_orchestrator is None:
_global_orchestrator = TNFRUnifiedMathematicalCacheOrchestrator()
return _global_orchestrator
def orchestrate_tnfr_computation(
G: Any, computation_type: str, parameters: dict[str, Any] | None = None, **kwargs
) -> tuple[Any, dict[str, Any]]:
"""Convenience function for orchestrated TNFR computation."""
orchestrator = get_unified_mathematical_cache_orchestrator()
result, stats = orchestrator.orchestrate_computation(
G, computation_type, parameters or {}, **kwargs
)
return result, (
stats.get_orchestration_statistics()
if hasattr(stats, "get_orchestration_statistics")
else {}
)