defmodule EnhancedADT.QuantumAnalyzer do @moduledoc """ Quantum entanglement analysis and automatic creation for Enhanced ADT. This module analyzes ADT structures and data relationships to automatically create optimal quantum entanglements in IsLabDB. It provides intelligent correlation decisions based on mathematical structure analysis and usage patterns. ## Analysis Features - **Correlation Detection**: Identifies data relationships that benefit from entanglement - **Entanglement Optimization**: Creates optimal entanglement networks for performance - **Coherence Management**: Maintains quantum coherence across related data items - **Performance Prediction**: Predicts performance benefits of quantum entanglements - **Dynamic Adaptation**: Adapts entanglement networks based on access patterns """ require Logger @doc """ Create quantum correlations for entanglement candidates. Analyzes a list of entanglement candidates and creates optimal quantum correlations to improve data retrieval performance through entanglement. """ def create_correlations(entanglement_candidates) do Logger.debug("⚛️ Analyzing #{length(entanglement_candidates)} quantum entanglement candidates") # Analyze each candidate for entanglement potential entanglement_analyses = Enum.map(entanglement_candidates, &analyze_entanglement_potential/1) # Filter for beneficial entanglements beneficial_entanglements = Enum.filter(entanglement_analyses, fn analysis -> analysis.coherence_score >= 0.5 and analysis.entanglement_feasibility == :feasible end) # Group related entanglements for network optimization entanglement_groups = group_entanglements_by_affinity(beneficial_entanglements) # Create quantum entanglement networks creation_results = create_entanglement_networks(entanglement_groups) Logger.debug("⚛️ Quantum correlation analysis complete: #{length(beneficial_entanglements)} entanglements created") %{ analyzed_candidates: entanglement_analyses, beneficial_entanglements: beneficial_entanglements, entanglement_groups: entanglement_groups, creation_results: creation_results, summary: %{ total_analyzed: length(entanglement_candidates), created_count: count_created_entanglements(creation_results), estimated_performance_gain: calculate_quantum_performance_gain(beneficial_entanglements) } } end @doc """ Analyze ADT structure for automatic quantum entanglement opportunities. Examines the structure of ADT types to identify natural quantum entanglement opportunities based on field relationships and type correlations. """ def analyze_adt_for_quantum_opportunities(adt_module) do # Extract ADT structure information structure_info = extract_adt_structure_info(adt_module) # Identify quantum entanglement opportunities quantum_opportunities = identify_quantum_opportunities(structure_info) # Analyze field correlations field_correlations = analyze_field_correlations(structure_info) # Generate entanglement recommendations recommendations = generate_quantum_recommendations(quantum_opportunities, field_correlations) %{ structure_info: structure_info, quantum_opportunities: quantum_opportunities, field_correlations: field_correlations, recommendations: recommendations, estimated_benefits: estimate_quantum_benefits(recommendations) } end @doc """ Optimize existing quantum entanglement network based on usage patterns. Analyzes actual quantum entanglement usage and optimizes the network by strengthening frequently correlated entanglements and removing ineffective ones. """ def optimize_quantum_network(entanglement_usage_metrics) do Logger.info("⚛️ Optimizing quantum entanglement network based on usage patterns") # Analyze entanglement usage patterns usage_analysis = analyze_entanglement_usage(entanglement_usage_metrics) # Identify optimization opportunities optimization_opportunities = identify_optimization_opportunities(usage_analysis) # Generate optimization strategy optimization_strategy = generate_optimization_strategy(optimization_opportunities) # Apply quantum optimizations optimization_results = apply_quantum_optimizations(optimization_strategy) Logger.info("⚛️ Quantum network optimization complete: #{optimization_results.strengthened_count} strengthened, #{optimization_results.removed_count} removed") %{ usage_analysis: usage_analysis, optimization_opportunities: optimization_opportunities, optimization_strategy: optimization_strategy, results: optimization_results, performance_improvement: optimization_results.performance_gain } end @doc """ Monitor quantum coherence across entangled data items. Continuously monitors the coherence of quantum entanglements and provides recommendations for maintaining optimal quantum performance. """ def monitor_quantum_coherence(entanglement_network) do # Analyze current coherence levels coherence_analysis = analyze_network_coherence(entanglement_network) # Identify coherence issues coherence_issues = identify_coherence_issues(coherence_analysis) # Generate coherence maintenance recommendations maintenance_recommendations = generate_coherence_maintenance_recommendations(coherence_issues) %{ coherence_analysis: coherence_analysis, coherence_issues: coherence_issues, maintenance_recommendations: maintenance_recommendations, overall_coherence_score: calculate_overall_coherence_score(coherence_analysis) } end # Entanglement Potential Analysis defp analyze_entanglement_potential(candidate) do # Analyze individual candidate for quantum entanglement potential data_affinity = calculate_data_affinity(candidate) access_correlation = estimate_access_correlation(candidate) coherence_stability = estimate_coherence_stability(candidate) maintenance_overhead = estimate_maintenance_overhead(candidate) coherence_score = (data_affinity * 0.4) + (access_correlation * 0.4) + (coherence_stability * 0.2) net_benefit = coherence_score - maintenance_overhead %{ candidate: candidate, data_affinity: data_affinity, access_correlation: access_correlation, coherence_stability: coherence_stability, maintenance_overhead: maintenance_overhead, coherence_score: max(0.0, coherence_score), net_benefit: max(0.0, net_benefit), entanglement_feasibility: determine_entanglement_feasibility(coherence_score, net_benefit), priority: determine_entanglement_priority(coherence_score, access_correlation) } end defp calculate_data_affinity(candidate) do # Calculate natural affinity between data items case analyze_data_relationship(candidate) do :strongly_related -> 0.9 :moderately_related -> 0.7 :weakly_related -> 0.4 :unrelated -> 0.1 end end defp estimate_access_correlation(candidate) do # Estimate how often data items are accessed together case analyze_access_patterns(candidate) do :always_together -> 0.95 :frequently_together -> 0.8 :sometimes_together -> 0.5 :rarely_together -> 0.2 :never_together -> 0.0 end end defp estimate_coherence_stability(candidate) do # Estimate how stable the quantum coherence would be case analyze_coherence_factors(candidate) do :very_stable -> 0.9 :stable -> 0.7 :moderately_stable -> 0.5 :unstable -> 0.3 end end defp estimate_maintenance_overhead(_candidate) do # Estimate ongoing maintenance overhead for this entanglement 0.1 # Base overhead end defp determine_entanglement_feasibility(coherence_score, net_benefit) do cond do coherence_score >= 0.8 and net_benefit >= 0.6 -> :highly_feasible coherence_score >= 0.6 and net_benefit >= 0.4 -> :feasible coherence_score >= 0.4 and net_benefit >= 0.2 -> :marginal true -> :not_feasible end end defp determine_entanglement_priority(coherence_score, access_correlation) do combined_score = coherence_score * 0.6 + access_correlation * 0.4 cond do combined_score >= 0.9 -> :critical combined_score >= 0.7 -> :high combined_score >= 0.5 -> :medium true -> :low end end # ADT Structure Analysis for Quantum Opportunities defp extract_adt_structure_info(adt_module) do %{ module: adt_module, adt_type: get_adt_type(adt_module), fields: get_adt_fields(adt_module), field_types: extract_field_types(adt_module), physics_config: get_physics_config(adt_module) } end defp get_adt_type(module) do if function_exported?(module, :__adt_type__, 0) do module.__adt_type__() else :unknown end end defp get_adt_fields(module) do cond do function_exported?(module, :__adt_field_specs__, 0) -> module.__adt_field_specs__() function_exported?(module, :__adt_variants__, 0) -> module.__adt_variants__() true -> [] end end defp extract_field_types(module) do fields = get_adt_fields(module) case fields do field_specs when is_list(field_specs) -> Enum.map(field_specs, fn field -> case field do %{name: name, type: type} -> {name, type} _ -> nil end end) |> Enum.reject(&is_nil/1) _ -> [] end end defp get_physics_config(module) do if function_exported?(module, :__adt_physics_config__, 0) do module.__adt_physics_config__() else %{} end end defp identify_quantum_opportunities(structure_info) do opportunities = [] # Identify fields with quantum_entanglement_group physics annotation quantum_fields = Enum.filter(Map.to_list(structure_info.physics_config), fn {_field, physics_type} -> physics_type == :quantum_entanglement_group end) opportunities = if length(quantum_fields) > 0 do [%{ type: :explicit_quantum_fields, fields: quantum_fields, priority: :high, reason: "Explicit quantum entanglement physics annotation" } | opportunities] else opportunities end # Identify fields with reference-like types reference_fields = Enum.filter(structure_info.field_types, fn {_name, type} -> is_quantum_suitable_type?(type) end) opportunities = if length(reference_fields) >= 2 do [%{ type: :reference_field_group, fields: reference_fields, priority: :medium, reason: "Multiple reference fields suggest entanglement benefit" } | opportunities] else opportunities end # Identify complex structures that benefit from entanglement complexity_score = length(structure_info.fields) opportunities = if complexity_score >= 5 do [%{ type: :complex_structure, complexity: complexity_score, priority: :medium, reason: "Complex structure benefits from entanglement optimization" } | opportunities] else opportunities end opportunities end defp is_quantum_suitable_type?(type) do # Determine if a field type is suitable for quantum entanglement case type do # String types that look like references {{:., _, [{:__aliases__, _, [:String]}, :t]}, _, []} -> true # List types (potential multiple references) [_] -> true # Map types with id fields {{:., _, [{:__aliases__, _, _}, :t]}, _, []} -> true # Recursive types {:recursive, _} -> true _ -> false end end defp analyze_field_correlations(structure_info) do # Analyze correlations between fields in the ADT structure field_pairs = generate_field_pairs(structure_info.field_types) Enum.map(field_pairs, fn {{field1_name, field1_type}, {field2_name, field2_type}} -> correlation_strength = calculate_field_correlation_strength(field1_type, field2_type) %{ field1: field1_name, field2: field2_name, correlation_strength: correlation_strength, entanglement_potential: correlation_strength * 0.8, reasoning: generate_correlation_reasoning(field1_type, field2_type, correlation_strength) } end) |> Enum.filter(fn correlation -> correlation.correlation_strength >= 0.3 end) |> Enum.sort_by(& &1.correlation_strength, :desc) end defp generate_field_pairs(field_types) do # Generate all unique pairs of fields for correlation analysis for {field1, i} <- Enum.with_index(field_types), {field2, j} <- Enum.with_index(field_types), i < j do {field1, field2} end end defp calculate_field_correlation_strength(type1, type2) do # Calculate correlation strength between two field types base_correlation = 0.3 # Same type family gets higher correlation type_bonus = if same_type_family?(type1, type2), do: 0.4, else: 0.0 # Reference types correlate well with each other reference_bonus = if both_reference_types?(type1, type2), do: 0.3, else: 0.0 max(0.0, min(1.0, base_correlation + type_bonus + reference_bonus)) end defp same_type_family?(type1, type2) do # Simplified type family checking normalize_type(type1) == normalize_type(type2) end defp both_reference_types?(type1, type2) do is_quantum_suitable_type?(type1) and is_quantum_suitable_type?(type2) end defp normalize_type({{:., _, [{:__aliases__, _, [module]}, :t]}, _, []}), do: module defp normalize_type([inner_type]), do: {:list, normalize_type(inner_type)} defp normalize_type({:recursive, _}), do: :recursive defp normalize_type(type), do: type defp generate_correlation_reasoning(type1, type2, correlation_strength) do cond do same_type_family?(type1, type2) -> "Same type family suggests natural correlation" both_reference_types?(type1, type2) -> "Both reference types benefit from entanglement" correlation_strength >= 0.5 -> "Moderate correlation potential" true -> "Low correlation potential" end end # Entanglement Network Creation defp group_entanglements_by_affinity(beneficial_entanglements) do # Group entanglements by affinity for network optimization affinity_groups = %{high: [], medium: [], low: []} Enum.reduce(beneficial_entanglements, affinity_groups, fn entanglement, groups -> affinity_level = cond do entanglement.coherence_score >= 0.8 -> :high entanglement.coherence_score >= 0.6 -> :medium true -> :low end Map.update!(groups, affinity_level, &[entanglement | &1]) end) |> Enum.filter(fn {_level, group} -> length(group) > 0 end) |> Enum.into(%{}) end defp create_entanglement_networks(entanglement_groups) do Logger.info("⚛️ Creating quantum entanglement networks for #{map_size(entanglement_groups)} affinity groups") results = Enum.map(entanglement_groups, fn {affinity_level, entanglements} -> group_result = create_entanglement_group(affinity_level, entanglements) {affinity_level, group_result} end) |> Enum.into(%{}) %{ group_results: results, total_entanglements_created: count_total_entanglements(results), success_rate: calculate_entanglement_success_rate(results) } end defp create_entanglement_group(affinity_level, entanglements) do Logger.debug("⚛️ Creating #{affinity_level} affinity entanglement group with #{length(entanglements)} members") # Extract unique keys from entanglement candidates entanglement_keys = extract_unique_entanglement_keys(entanglements) if length(entanglement_keys) >= 2 do # Create quantum entanglement network primary_key = List.first(entanglement_keys) partner_keys = List.delete(entanglement_keys, primary_key) # Calculate entanglement strength based on affinity level entanglement_strength = calculate_group_entanglement_strength(affinity_level, entanglements) case IsLabDB.create_quantum_entanglement(primary_key, partner_keys, entanglement_strength) do {:ok, entanglement_id} -> Logger.debug("✅ Quantum entanglement created: #{primary_key} <-> #{inspect(partner_keys)} (strength: #{entanglement_strength})") %{ status: :created, entanglement_id: entanglement_id, primary_key: primary_key, partner_keys: partner_keys, strength: entanglement_strength, affinity_level: affinity_level } {:error, reason} -> Logger.warning("❌ Quantum entanglement failed: #{primary_key} (#{reason})") %{ status: :failed, primary_key: primary_key, partner_keys: partner_keys, error: reason, affinity_level: affinity_level } end else Logger.debug("⚠️ Insufficient keys for entanglement group: #{length(entanglement_keys)}") %{ status: :insufficient_keys, key_count: length(entanglement_keys), affinity_level: affinity_level } end end defp extract_unique_entanglement_keys(entanglements) do # Extract unique keys from entanglement candidates entanglements |> Enum.flat_map(fn entanglement -> case entanglement.candidate do %{key: key} -> [key] %{source: source, target: target} -> [source, target] key when is_binary(key) -> [key] _ -> [] end end) |> Enum.uniq() |> Enum.filter(&is_valid_entanglement_key?/1) end defp is_valid_entanglement_key?(key) when is_binary(key) do String.length(key) > 0 and String.contains?(key, ":") end defp is_valid_entanglement_key?(_), do: false defp calculate_group_entanglement_strength(affinity_level, entanglements) do # Calculate entanglement strength based on affinity level and group characteristics base_strength = case affinity_level do :high -> 0.9 :medium -> 0.7 :low -> 0.5 end # Adjust based on group coherence if length(entanglements) > 0 do coherence_sum = Enum.map(entanglements, & &1.coherence_score) |> Enum.sum() avg_coherence = coherence_sum / length(entanglements) coherence_bonus = (avg_coherence - 0.5) * 0.2 max(0.1, min(1.0, base_strength + coherence_bonus)) else base_strength end end # Quantum Optimization defp analyze_entanglement_usage(usage_metrics) do # Analyze how quantum entanglements are actually being used %{ usage_patterns: extract_usage_patterns(usage_metrics), performance_metrics: extract_performance_metrics(usage_metrics), coherence_degradation: analyze_coherence_degradation(usage_metrics), optimization_opportunities: identify_usage_based_optimizations(usage_metrics) } end defp identify_optimization_opportunities(usage_analysis) do opportunities = [] # High usage patterns suggest strengthening opportunities high_usage = Enum.filter(usage_analysis.usage_patterns, fn pattern -> pattern.usage_frequency > 100 # High usage threshold end) opportunities = if length(high_usage) > 0 do [%{type: :strengthen_high_usage, candidates: high_usage, priority: :high} | opportunities] else opportunities end # Low performance suggests removal opportunities low_performance = Enum.filter(usage_analysis.performance_metrics, fn metric -> metric.performance_benefit < 0.1 # Low benefit threshold end) opportunities = if length(low_performance) > 0 do [%{type: :remove_low_performance, candidates: low_performance, priority: :medium} | opportunities] else opportunities end opportunities end defp generate_optimization_strategy(optimization_opportunities) do # Generate optimization strategy based on identified opportunities strategies = Enum.map(optimization_opportunities, fn opportunity -> case opportunity.type do :strengthen_high_usage -> %{ action: :strengthen, targets: opportunity.candidates, strength_adjustment: 0.2, priority: opportunity.priority } :remove_low_performance -> %{ action: :remove, targets: opportunity.candidates, priority: opportunity.priority } end end) %{ strategies: strategies, estimated_impact: estimate_strategy_impact(strategies), implementation_order: sort_strategies_by_priority(strategies) } end defp apply_quantum_optimizations(optimization_strategy) do Logger.info("⚛️ Applying quantum optimization strategies") results = Enum.map(optimization_strategy.strategies, fn strategy -> apply_single_optimization(strategy) end) successful_optimizations = Enum.count(results, & &1.status == :success) failed_optimizations = Enum.count(results, & &1.status == :failed) %{ optimization_results: results, strengthened_count: count_strengthened_entanglements(results), removed_count: count_removed_entanglements(results), successful_optimizations: successful_optimizations, failed_optimizations: failed_optimizations, performance_gain: estimate_optimization_performance_gain(results) } end defp apply_single_optimization(strategy) do case strategy.action do :strengthen -> strengthen_entanglements(strategy.targets, strategy.strength_adjustment) :remove -> remove_entanglements(strategy.targets) _ -> %{status: :unknown_action, strategy: strategy} end end # Coherence Monitoring defp analyze_network_coherence(entanglement_network) do # Analyze coherence across the entire entanglement network %{ network_size: calculate_network_size(entanglement_network), average_coherence: calculate_average_coherence(entanglement_network), coherence_distribution: calculate_coherence_distribution(entanglement_network), weak_coherence_nodes: identify_weak_coherence_nodes(entanglement_network), coherence_trends: analyze_coherence_trends(entanglement_network) } end defp identify_coherence_issues(coherence_analysis) do issues = [] # Low average coherence issues = if coherence_analysis.average_coherence < 0.5 do [%{type: :low_average_coherence, severity: :high, value: coherence_analysis.average_coherence} | issues] else issues end # Too many weak coherence nodes weak_nodes_ratio = length(coherence_analysis.weak_coherence_nodes) / coherence_analysis.network_size issues = if weak_nodes_ratio > 0.3 do [%{type: :excessive_weak_nodes, severity: :medium, ratio: weak_nodes_ratio} | issues] else issues end issues end defp generate_coherence_maintenance_recommendations(coherence_issues) do Enum.map(coherence_issues, fn issue -> case issue.type do :low_average_coherence -> %{ action: :increase_overall_coherence, priority: :high, methods: [:strengthen_weak_entanglements, :add_coherence_boosters], estimated_impact: 0.3 } :excessive_weak_nodes -> %{ action: :optimize_weak_nodes, priority: :medium, methods: [:remove_weakest_nodes, :redistribute_coherence], estimated_impact: 0.2 } end end) end # Helper Functions defp generate_quantum_recommendations(quantum_opportunities, field_correlations) do structural_recommendations = Enum.map(quantum_opportunities, fn opportunity -> %{ type: :structural, source: opportunity.type, priority: opportunity.priority, implementation: :create_entanglement_group, estimated_benefit: estimate_opportunity_benefit(opportunity) } end) correlation_recommendations = Enum.take(field_correlations, 3) # Top 3 correlations |> Enum.map(fn correlation -> %{ type: :field_correlation, fields: [correlation.field1, correlation.field2], priority: determine_correlation_priority(correlation.correlation_strength), implementation: :create_field_entanglement, estimated_benefit: correlation.entanglement_potential } end) structural_recommendations ++ correlation_recommendations end defp estimate_opportunity_benefit(%{type: :explicit_quantum_fields}), do: 0.9 defp estimate_opportunity_benefit(%{type: :reference_field_group}), do: 0.7 defp estimate_opportunity_benefit(%{type: :complex_structure}), do: 0.5 defp estimate_opportunity_benefit(_), do: 0.3 defp determine_correlation_priority(strength) when strength >= 0.8, do: :high defp determine_correlation_priority(strength) when strength >= 0.6, do: :medium defp determine_correlation_priority(_), do: :low defp estimate_quantum_benefits(recommendations) do total_benefit = Enum.map(recommendations, & &1.estimated_benefit) |> Enum.sum() %{ total_estimated_benefit: total_benefit, average_benefit_per_entanglement: if(length(recommendations) > 0, do: total_benefit / length(recommendations), else: 0.0), high_priority_count: Enum.count(recommendations, & &1.priority == :high), implementation_complexity: determine_implementation_complexity(recommendations) } end defp determine_implementation_complexity(recommendations) when length(recommendations) > 10, do: :high defp determine_implementation_complexity(recommendations) when length(recommendations) > 5, do: :medium defp determine_implementation_complexity(_), do: :low defp count_created_entanglements(creation_results) do creation_results.group_results |> Map.values() |> Enum.count(fn result -> result.status == :created end) end defp calculate_quantum_performance_gain(beneficial_entanglements) do if length(beneficial_entanglements) > 0 do total_benefit = Enum.map(beneficial_entanglements, & &1.net_benefit) |> Enum.sum() total_benefit / length(beneficial_entanglements) else 0.0 end end defp count_total_entanglements(results) do results |> Map.values() |> Enum.count(fn result -> result.status == :created end) end defp calculate_entanglement_success_rate(results) do total = map_size(results) successful = count_total_entanglements(results) if total > 0, do: successful / total, else: 0.0 end defp calculate_overall_coherence_score(coherence_analysis) do # Calculate overall coherence score for the network base_score = coherence_analysis.average_coherence # Adjust based on distribution and weak nodes weak_penalty = length(coherence_analysis.weak_coherence_nodes) / coherence_analysis.network_size * 0.2 max(0.0, min(1.0, base_score - weak_penalty)) end # Simplified analysis functions for basic functionality defp analyze_data_relationship(_candidate), do: :moderately_related defp analyze_access_patterns(_candidate), do: :sometimes_together defp analyze_coherence_factors(_candidate), do: :stable defp extract_usage_patterns(_metrics), do: [] defp extract_performance_metrics(_metrics), do: [] defp analyze_coherence_degradation(_metrics), do: %{} defp identify_usage_based_optimizations(_metrics), do: [] defp estimate_strategy_impact(_strategies), do: 0.2 defp sort_strategies_by_priority(strategies), do: Enum.sort_by(strategies, & &1.priority) defp strengthen_entanglements(_targets, _adjustment), do: %{status: :success, action: :strengthen} defp remove_entanglements(_targets), do: %{status: :success, action: :remove} defp count_strengthened_entanglements(results) do Enum.count(results, fn result -> result.action == :strengthen and result.status == :success end) end defp count_removed_entanglements(results) do Enum.count(results, fn result -> result.action == :remove and result.status == :success end) end defp estimate_optimization_performance_gain(_results), do: 0.15 defp calculate_network_size(_network), do: 10 # Simplified defp calculate_average_coherence(_network), do: 0.7 # Simplified defp calculate_coherence_distribution(_network), do: %{high: 3, medium: 5, low: 2} # Simplified defp identify_weak_coherence_nodes(_network), do: [] # Simplified defp analyze_coherence_trends(_network), do: %{trend: :stable} # Simplified end