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scirs2_stats/
parallel_stats_advanced.rs

1//! Advanced-parallel statistical computing framework for scirs2-stats v1.0.0
2//!
3//! This module provides an advanced parallel processing system that goes beyond
4//! basic parallelization to offer intelligent work distribution, adaptive load
5//! balancing, NUMA-aware processing, and hybrid CPU-GPU computation strategies.
6
7use crate::error::{StatsError, StatsResult};
8use scirs2_core::ndarray::{s, Array2, ArrayView1, ArrayView2};
9use scirs2_core::numeric::{Float, NumCast, Zero};
10use serde::{Deserialize, Serialize};
11use std::collections::HashMap;
12use std::sync::{Arc, Mutex, RwLock};
13use std::thread;
14use std::time::{Duration, Instant};
15
16/// Configuration for advanced-parallel statistical operations
17#[derive(Debug, Clone, Serialize, Deserialize)]
18pub struct AdvancedParallelConfig {
19    /// Enable adaptive work distribution
20    pub adaptive_work_distribution: bool,
21    /// Enable NUMA-aware processing
22    pub numa_aware: bool,
23    /// Enable hybrid CPU-GPU processing
24    pub hybrid_processing: bool,
25    /// Work stealing strategy
26    pub work_stealing: WorkStealingStrategy,
27    /// Load balancing algorithm
28    pub load_balancing: LoadBalancingAlgorithm,
29    /// Thread pool configuration
30    pub thread_pool_config: ThreadPoolConfig,
31    /// Memory management strategy
32    pub memory_strategy: ParallelMemoryStrategy,
33    /// Performance monitoring
34    pub performance_monitoring: bool,
35    /// Minimum work size per thread
36    pub min_worksize: usize,
37    /// Maximum parallelization depth
38    pub max_parallel_depth: usize,
39    /// Enable vectorized operations within parallel tasks
40    pub enable_simd_in_parallel: bool,
41    /// Cache optimization level
42    pub cache_optimization: CacheOptimizationLevel,
43}
44
45impl Default for AdvancedParallelConfig {
46    fn default() -> Self {
47        Self {
48            adaptive_work_distribution: true,
49            numa_aware: true,
50            hybrid_processing: false,
51            work_stealing: WorkStealingStrategy::Adaptive,
52            load_balancing: LoadBalancingAlgorithm::DynamicRoundRobin,
53            thread_pool_config: ThreadPoolConfig::default(),
54            memory_strategy: ParallelMemoryStrategy::CacheAware,
55            performance_monitoring: true,
56            min_worksize: 1000,
57            max_parallel_depth: 3,
58            enable_simd_in_parallel: true,
59            cache_optimization: CacheOptimizationLevel::Aggressive,
60        }
61    }
62}
63
64/// Work stealing strategies
65#[derive(Debug, Clone, Serialize, Deserialize)]
66pub enum WorkStealingStrategy {
67    /// No work stealing
68    None,
69    /// Simple random work stealing
70    Random,
71    /// Locality-aware work stealing
72    LocalityAware,
73    /// Adaptive work stealing based on performance
74    Adaptive,
75    /// NUMA-topology aware work stealing
76    NumaAware,
77}
78
79/// Load balancing algorithms
80#[derive(Debug, Clone, Serialize, Deserialize)]
81pub enum LoadBalancingAlgorithm {
82    /// Static round-robin distribution
83    StaticRoundRobin,
84    /// Dynamic round-robin with feedback
85    DynamicRoundRobin,
86    /// Work-based load balancing
87    WorkBased,
88    /// Performance-based load balancing
89    PerformanceBased,
90    /// Hierarchical load balancing
91    Hierarchical,
92    /// Machine learning-based load balancing
93    MLBased,
94}
95
96/// Thread pool configuration
97#[derive(Debug, Clone, Serialize, Deserialize)]
98pub struct ThreadPoolConfig {
99    /// Number of worker threads
100    pub num_workers: Option<usize>,
101    /// Thread priority
102    pub thread_priority: ThreadPriority,
103    /// Thread affinity strategy
104    pub affinity_strategy: ThreadAffinityStrategy,
105    /// Stack size per thread
106    pub stacksize: Option<usize>,
107    /// Idle thread timeout
108    pub idle_timeout: Duration,
109    /// Thread pool scaling strategy
110    pub scaling_strategy: ScalingStrategy,
111}
112
113impl Default for ThreadPoolConfig {
114    fn default() -> Self {
115        Self {
116            num_workers: None, // Auto-detect
117            thread_priority: ThreadPriority::Normal,
118            affinity_strategy: ThreadAffinityStrategy::NUMA,
119            stacksize: Some(2 * 1024 * 1024), // 2MB
120            idle_timeout: Duration::from_secs(60),
121            scaling_strategy: ScalingStrategy::Adaptive,
122        }
123    }
124}
125
126/// Thread priority levels
127#[derive(Debug, Clone, Serialize, Deserialize)]
128pub enum ThreadPriority {
129    Low,
130    Normal,
131    High,
132    RealTime,
133}
134
135/// Thread affinity strategies
136#[derive(Debug, Clone, Serialize, Deserialize)]
137pub enum ThreadAffinityStrategy {
138    /// No affinity setting
139    None,
140    /// NUMA-aware affinity
141    NUMA,
142    /// Core-based affinity
143    CoreBased,
144    /// Custom affinity pattern
145    Custom(Vec<usize>),
146}
147
148/// Thread pool scaling strategies
149#[derive(Debug, Clone, Serialize, Deserialize)]
150pub enum ScalingStrategy {
151    /// Fixed number of threads
152    Fixed,
153    /// Adaptive scaling based on workload
154    Adaptive,
155    /// Performance-based scaling
156    PerformanceBased,
157    /// Resource-aware scaling
158    ResourceAware,
159}
160
161/// Parallel memory management strategies
162#[derive(Debug, Clone, Serialize, Deserialize)]
163pub enum ParallelMemoryStrategy {
164    /// Simple memory allocation
165    Simple,
166    /// Cache-aware memory allocation
167    CacheAware,
168    /// NUMA-aware memory allocation
169    NumaAware,
170    /// Memory pool-based allocation
171    PoolBased,
172    /// Lock-free memory management
173    LockFree,
174}
175
176/// Cache optimization levels
177#[derive(Debug, Clone, Serialize, Deserialize, PartialEq)]
178pub enum CacheOptimizationLevel {
179    /// No cache optimization
180    None,
181    /// Basic cache-friendly patterns
182    Basic,
183    /// Aggressive cache optimization
184    Aggressive,
185    /// Hardware-specific optimization
186    HardwareSpecific,
187}
188
189/// Work unit for parallel processing
190#[derive(Debug, Clone)]
191pub struct WorkUnit<T> {
192    /// Work identifier
193    pub id: usize,
194    /// Work data
195    pub data: T,
196    /// Estimated computational cost
197    pub cost: f64,
198    /// Dependencies on other work units
199    pub dependencies: Vec<usize>,
200    /// Priority level
201    pub priority: WorkPriority,
202    /// NUMA node preference
203    pub numa_node: Option<usize>,
204}
205
206/// Work priority levels
207#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord)]
208pub enum WorkPriority {
209    Low = 0,
210    Normal = 1,
211    High = 2,
212    Critical = 3,
213}
214
215/// Parallel execution context
216#[derive(Debug, Clone)]
217pub struct ParallelExecutionContext {
218    /// Thread ID
219    pub thread_id: usize,
220    /// NUMA node ID
221    pub numa_node: usize,
222    /// Local memory pool
223    pub memory_pool: Option<Arc<Mutex<MemoryPool>>>,
224    /// Performance counters
225    pub counters: PerformanceCounters,
226    /// Thread-local cache
227    pub cache: ThreadLocalCache,
228}
229
230/// Performance counters for monitoring
231#[derive(Debug, Clone, Default)]
232pub struct PerformanceCounters {
233    /// Tasks completed
234    pub tasks_completed: usize,
235    /// Total execution time
236    pub total_time: Duration,
237    /// Cache hits
238    pub cache_hits: usize,
239    /// Cache misses
240    pub cache_misses: usize,
241    /// Work stolen from other threads
242    pub work_stolen: usize,
243    /// Work given to other threads
244    pub work_given: usize,
245    /// Memory allocations
246    pub memory_allocations: usize,
247    /// Memory deallocations
248    pub memory_deallocations: usize,
249}
250
251/// Thread-local cache for frequently used data
252#[derive(Debug, Clone)]
253pub struct ThreadLocalCache {
254    /// Cached computation results
255    pub results: HashMap<String, CachedResult>,
256    /// Cache hit statistics
257    pub stats: CacheStatistics,
258}
259
260/// Cached computation result
261#[derive(Debug, Clone)]
262pub struct CachedResult {
263    /// Cached value
264    pub value: Vec<f64>,
265    /// Timestamp when cached
266    pub timestamp: Instant,
267    /// Access count
268    pub access_count: usize,
269    /// Cost to recompute
270    pub recompute_cost: f64,
271}
272
273/// Cache statistics
274#[derive(Debug, Clone, Default)]
275pub struct CacheStatistics {
276    /// Total cache accesses
277    pub total_accesses: usize,
278    /// Cache hits
279    pub hits: usize,
280    /// Cache misses
281    pub misses: usize,
282    /// Evictions
283    pub evictions: usize,
284}
285
286/// Memory pool for efficient allocation
287#[derive(Debug)]
288pub struct MemoryPool {
289    /// Pool of pre-allocated memory blocks
290    blocks: Vec<Vec<u8>>,
291    /// Available block indices
292    available: Vec<usize>,
293    /// Block size
294    blocksize: usize,
295    /// Total allocations
296    total_allocations: usize,
297}
298
299impl MemoryPool {
300    /// Create new memory pool
301    pub fn new(num_blocks: usize, blocksize: usize) -> Self {
302        let mut blocks = Vec::with_capacity(num_blocks);
303        let mut available = Vec::with_capacity(num_blocks);
304
305        for i in 0..num_blocks {
306            blocks.push(vec![0u8; blocksize]);
307            available.push(i);
308        }
309
310        Self {
311            blocks,
312            available,
313            blocksize,
314            total_allocations: 0,
315        }
316    }
317
318    /// Allocate a block
319    pub fn allocate(&mut self) -> Option<*mut u8> {
320        if let Some(index) = self.available.pop() {
321            self.total_allocations += 1;
322            Some(self.blocks[index].as_mut_ptr())
323        } else {
324            None
325        }
326    }
327
328    /// Deallocate a block
329    pub fn deallocate(&mut self, ptr: *mut u8) {
330        // Find which block this pointer belongs to
331        for (i, block) in self.blocks.iter().enumerate() {
332            if ptr == block.as_ptr() as *mut u8 {
333                self.available.push(i);
334                break;
335            }
336        }
337    }
338}
339
340/// Parallel computation result with detailed metrics
341#[derive(Debug, Clone)]
342pub struct AdvancedParallelResult<T> {
343    /// Computation result
344    pub result: T,
345    /// Execution metrics
346    pub metrics: ParallelExecutionMetrics,
347    /// Performance analysis
348    pub analysis: ParallelPerformanceAnalysis,
349    /// Resource utilization
350    pub resource_utilization: ResourceUtilization,
351}
352
353/// Detailed execution metrics
354#[derive(Debug, Clone)]
355pub struct ParallelExecutionMetrics {
356    /// Total execution time
357    pub total_time: Duration,
358    /// Time spent in parallel execution
359    pub parallel_time: Duration,
360    /// Time spent in sequential execution
361    pub sequential_time: Duration,
362    /// Time spent in synchronization
363    pub sync_time: Duration,
364    /// Number of threads used
365    pub threads_used: usize,
366    /// Load balancing efficiency
367    pub load_balance_efficiency: f64,
368    /// Parallel efficiency
369    pub parallel_efficiency: f64,
370    /// Speedup achieved
371    pub speedup: f64,
372    /// Work distribution quality
373    pub work_distribution_quality: f64,
374}
375
376/// Performance analysis results
377#[derive(Debug, Clone)]
378pub struct ParallelPerformanceAnalysis {
379    /// Bottleneck analysis
380    pub bottlenecks: Vec<PerformanceBottleneck>,
381    /// Scaling characteristics
382    pub scaling_analysis: ScalingAnalysis,
383    /// Optimization opportunities
384    pub optimization_opportunities: Vec<OptimizationOpportunity>,
385    /// Performance rating
386    pub performance_rating: PerformanceRating,
387}
388
389/// Performance bottleneck identification
390#[derive(Debug, Clone)]
391pub struct PerformanceBottleneck {
392    /// Bottleneck type
393    pub bottleneck_type: BottleneckType,
394    /// Severity (0.0-1.0)
395    pub severity: f64,
396    /// Description
397    pub description: String,
398    /// Suggested mitigation
399    pub mitigation: String,
400}
401
402/// Types of performance bottlenecks
403#[derive(Debug, Clone)]
404pub enum BottleneckType {
405    /// Memory bandwidth limitation
406    MemoryBandwidth,
407    /// Cache thrashing
408    CacheContention,
409    /// Load imbalance
410    LoadImbalance,
411    /// Synchronization overhead
412    SynchronizationOverhead,
413    /// NUMA effects
414    NumaEffects,
415    /// False sharing
416    FalseSharing,
417    /// Context switching overhead
418    ContextSwitching,
419    /// Insufficient parallelism
420    InsufficientParallelism,
421}
422
423/// Scaling analysis results
424#[derive(Debug, Clone)]
425pub struct ScalingAnalysis {
426    /// Theoretical maximum speedup
427    pub theoretical_max_speedup: f64,
428    /// Achieved speedup
429    pub achieved_speedup: f64,
430    /// Parallel fraction (Amdahl's law)
431    pub parallel_fraction: f64,
432    /// Serial bottleneck impact
433    pub serial_bottleneck_impact: f64,
434    /// Scaling efficiency by thread count
435    pub scaling_efficiency: HashMap<usize, f64>,
436    /// Optimal thread count
437    pub optimal_thread_count: usize,
438}
439
440/// Optimization opportunity
441#[derive(Debug, Clone)]
442pub struct OptimizationOpportunity {
443    /// Opportunity type
444    pub opportunity_type: OptimizationType,
445    /// Potential improvement
446    pub potential_improvement: f64,
447    /// Implementation complexity
448    pub complexity: OptimizationComplexity,
449    /// Description
450    pub description: String,
451    /// Implementation steps
452    pub implementation_steps: Vec<String>,
453}
454
455/// Types of optimization opportunities
456#[derive(Debug, Clone)]
457pub enum OptimizationType {
458    /// Better work distribution
459    WorkDistribution,
460    /// Memory layout optimization
461    MemoryLayout,
462    /// Cache optimization
463    CacheOptimization,
464    /// SIMD integration
465    SimdIntegration,
466    /// Algorithm selection
467    AlgorithmSelection,
468    /// Resource allocation
469    ResourceAllocation,
470}
471
472/// Optimization complexity levels
473#[derive(Debug, Clone)]
474pub enum OptimizationComplexity {
475    Low,
476    Medium,
477    High,
478    VeryHigh,
479}
480
481/// Performance rating
482#[derive(Debug, Clone)]
483pub enum PerformanceRating {
484    Excellent,
485    Good,
486    Acceptable,
487    Poor,
488    Unacceptable,
489}
490
491/// Performance statistics summary
492#[derive(Debug, Clone)]
493pub struct PerformanceStatistics {
494    /// Total number of operations tracked
495    pub total_operations: usize,
496    /// Average speedup achieved
497    pub average_speedup: f64,
498    /// Best performing strategies
499    pub best_strategies: Vec<String>,
500    /// Hardware utilization metrics
501    pub hardware_utilization: HardwareUtilization,
502}
503
504/// Hardware utilization metrics
505#[derive(Debug, Clone)]
506pub struct HardwareUtilization {
507    /// SIMD utilization percentage
508    pub simd_utilization: f64,
509    /// Memory bandwidth utilization
510    pub memory_bandwidth_utilization: f64,
511    /// Cache efficiency
512    pub cache_efficiency: f64,
513    /// Energy efficiency (if available)
514    pub energy_efficiency: Option<f64>,
515}
516
517/// Resource utilization metrics
518#[derive(Debug, Clone)]
519pub struct ResourceUtilization {
520    /// CPU utilization per core
521    pub cpu_utilization: Vec<f64>,
522    /// Memory utilization
523    pub memory_utilization: f64,
524    /// Cache utilization
525    pub cache_utilization: CacheUtilization,
526    /// NUMA node utilization
527    pub numa_utilization: Vec<f64>,
528    /// Energy consumption (if available)
529    pub energy_consumption: Option<f64>,
530}
531
532/// Cache utilization metrics
533#[derive(Debug, Clone)]
534pub struct CacheUtilization {
535    /// L1 cache hit rate
536    pub l1_hit_rate: f64,
537    /// L2 cache hit rate
538    pub l2_hit_rate: f64,
539    /// L3 cache hit rate
540    pub l3_hit_rate: f64,
541    /// Cache line utilization
542    pub cache_line_utilization: f64,
543}
544
545/// Main advanced-parallel statistical processor
546pub struct AdvancedParallelStatsProcessor {
547    config: AdvancedParallelConfig,
548    execution_contexts: Vec<Arc<RwLock<ParallelExecutionContext>>>,
549    work_queue: Arc<Mutex<Vec<WorkUnit<Vec<f64>>>>>,
550    performance_history: Arc<Mutex<Vec<ParallelExecutionMetrics>>>,
551    optimization_cache: Arc<RwLock<HashMap<String, OptimizationStrategy>>>,
552}
553
554/// Optimization strategy cache
555#[derive(Debug, Clone)]
556pub struct OptimizationStrategy {
557    /// Strategy name
558    pub name: String,
559    /// Thread count
560    pub thread_count: usize,
561    /// Work distribution method
562    pub work_distribution: WorkDistributionMethod,
563    /// Memory layout
564    pub memory_layout: MemoryLayoutStrategy,
565    /// Expected performance
566    pub expected_performance: f64,
567}
568
569/// Work distribution methods
570#[derive(Debug, Clone)]
571pub enum WorkDistributionMethod {
572    /// Equal-sized chunks
573    EqualChunks,
574    /// Size-based distribution
575    SizeBased,
576    /// Cost-based distribution
577    CostBased,
578    /// Adaptive distribution
579    Adaptive,
580    /// Locality-aware distribution
581    LocalityAware,
582}
583
584/// Memory layout strategies
585#[derive(Debug, Clone)]
586pub enum MemoryLayoutStrategy {
587    /// Contiguous layout
588    Contiguous,
589    /// Interleaved layout
590    Interleaved,
591    /// NUMA-aware layout
592    NumaAware,
593    /// Cache-optimized layout
594    CacheOptimized,
595}
596
597impl AdvancedParallelStatsProcessor {
598    /// Create new advanced-parallel processor
599    pub fn new(config: AdvancedParallelConfig) -> StatsResult<Self> {
600        let num_threads = config
601            .thread_pool_config
602            .num_workers
603            .unwrap_or_else(|| scirs2_core::parallel_ops::current_num_threads().max(1));
604
605        let mut execution_contexts = Vec::with_capacity(num_threads);
606
607        for i in 0..num_threads {
608            let context = ParallelExecutionContext {
609                thread_id: i,
610                numa_node: i % 2, // Simplified NUMA assignment
611                memory_pool: Some(Arc::new(Mutex::new(MemoryPool::new(100, 4096)))),
612                counters: PerformanceCounters::default(),
613                cache: ThreadLocalCache {
614                    results: HashMap::new(),
615                    stats: CacheStatistics::default(),
616                },
617            };
618            execution_contexts.push(Arc::new(RwLock::new(context)));
619        }
620
621        Ok(Self {
622            config,
623            execution_contexts,
624            work_queue: Arc::new(Mutex::new(Vec::new())),
625            performance_history: Arc::new(Mutex::new(Vec::new())),
626            optimization_cache: Arc::new(RwLock::new(HashMap::new())),
627        })
628    }
629
630    /// Create with default configuration
631    pub fn default() -> StatsResult<Self> {
632        Self::new(AdvancedParallelConfig::default())
633    }
634
635    /// Compute mean using advanced-parallel processing
636    pub fn mean_advanced_parallel<F>(
637        &self,
638        data: ArrayView1<F>,
639    ) -> StatsResult<AdvancedParallelResult<F>>
640    where
641        F: Float + NumCast + Send + Sync + Zero + std::iter::Sum + std::fmt::Display,
642    {
643        let start_time = Instant::now();
644
645        // Analyze workload and select optimal strategy
646        let strategy = self.select_optimization_strategy("mean", data.len())?;
647
648        // Distribute work among threads
649        let work_units = self.create_work_units(&data, &strategy)?;
650
651        // Execute parallel computation
652        let partial_results = self.execute_parallel_work(&work_units)?;
653
654        // Combine results
655        let result = self.combine_mean_results(&partial_results, data.len())?;
656
657        // Calculate metrics and analysis
658        let total_time = start_time.elapsed();
659        let metrics = self.calculate_execution_metrics(total_time, &work_units)?;
660        let analysis = self.analyze_performance(&metrics)?;
661        let resource_utilization = self.measure_resource_utilization()?;
662
663        // Update performance history
664        self.update_performance_history(&metrics);
665
666        Ok(AdvancedParallelResult {
667            result,
668            metrics,
669            analysis,
670            resource_utilization,
671        })
672    }
673
674    /// Compute variance using advanced-parallel processing
675    pub fn variance_advanced_parallel<F>(
676        &self,
677        data: ArrayView1<F>,
678        ddof: usize,
679    ) -> StatsResult<AdvancedParallelResult<F>>
680    where
681        F: Float + NumCast + Send + Sync + Zero + std::iter::Sum + std::fmt::Display,
682    {
683        let start_time = Instant::now();
684
685        // First compute mean in parallel
686        let mean_result = self.mean_advanced_parallel(data)?;
687        let mean_val = mean_result.result;
688
689        // Select strategy for variance computation
690        let strategy = self.select_optimization_strategy("variance", data.len())?;
691
692        // Create work units for variance computation
693        let work_units = self.create_variance_work_units(&data, mean_val, ddof, &strategy)?;
694
695        // Execute parallel computation
696        let partial_results = self.execute_parallel_work(&work_units)?;
697
698        // Combine variance results
699        let result = self.combine_variance_results(&partial_results, data.len(), ddof)?;
700
701        let total_time = start_time.elapsed();
702        let metrics = self.calculate_execution_metrics(total_time, &work_units)?;
703        let analysis = self.analyze_performance(&metrics)?;
704        let resource_utilization = self.measure_resource_utilization()?;
705
706        self.update_performance_history(&metrics);
707
708        Ok(AdvancedParallelResult {
709            result,
710            metrics,
711            analysis,
712            resource_utilization,
713        })
714    }
715
716    /// Compute correlation matrix using advanced-parallel processing
717    pub fn correlation_matrix_advanced_parallel<F>(
718        &self,
719        data: ArrayView2<F>,
720    ) -> StatsResult<AdvancedParallelResult<Array2<F>>>
721    where
722        F: Float + NumCast + Send + Sync + Zero + std::iter::Sum + Clone + std::fmt::Display,
723    {
724        let start_time = Instant::now();
725        let (n_rows, n_cols) = data.dim();
726
727        // Create work units for each correlation pair
728        let mut correlation_work = Vec::new();
729        let mut work_id = 0;
730
731        for i in 0..n_cols {
732            for j in i..n_cols {
733                let col_i = data.column(i).to_owned();
734                let col_j = data.column(j).to_owned();
735
736                correlation_work.push(WorkUnit {
737                    id: work_id,
738                    data: (
739                        col_i.into_raw_vec_and_offset().0,
740                        col_j.into_raw_vec_and_offset().0,
741                        i,
742                        j,
743                    ),
744                    cost: (n_rows as f64).sqrt(), // Correlation cost is roughly O(sqrt(n))
745                    dependencies: Vec::new(),
746                    priority: WorkPriority::Normal,
747                    numa_node: Some(work_id % 2),
748                });
749                work_id += 1;
750            }
751        }
752
753        // Execute parallel correlation computations
754        let correlation_results = self.execute_correlation_work(correlation_work.as_slice())?;
755
756        // Assemble correlation matrix
757        let mut result_matrix = Array2::zeros((n_cols, n_cols));
758        for ((i, j), correlation) in correlation_results {
759            result_matrix[[i, j]] = correlation;
760            if i != j {
761                result_matrix[[j, i]] = correlation; // Symmetric matrix
762            }
763        }
764
765        let total_time = start_time.elapsed();
766        let metrics = self.calculate_matrix_execution_metrics(total_time, &correlation_work)?;
767        let analysis = self.analyze_performance(&metrics)?;
768        let resource_utilization = self.measure_resource_utilization()?;
769
770        self.update_performance_history(&metrics);
771
772        Ok(AdvancedParallelResult {
773            result: result_matrix,
774            metrics,
775            analysis,
776            resource_utilization,
777        })
778    }
779
780    /// Select optimal strategy for the given operation
781    fn select_optimization_strategy(
782        &self,
783        operation: &str,
784        datasize: usize,
785    ) -> StatsResult<OptimizationStrategy> {
786        let cache_key = format!("{}_{}", operation, datasize / 1000); // Granular caching
787
788        // Check cache first
789        if let Ok(cache) = self.optimization_cache.read() {
790            if let Some(strategy) = cache.get(&cache_key) {
791                return Ok(strategy.clone());
792            }
793        }
794
795        // Generate new strategy based on data characteristics
796        let optimal_threads = self.calculate_optimal_thread_count(datasize);
797        let work_distribution = if datasize > 1_000_000 {
798            WorkDistributionMethod::CostBased
799        } else if datasize > 100_000 {
800            WorkDistributionMethod::SizeBased
801        } else {
802            WorkDistributionMethod::EqualChunks
803        };
804
805        let memory_layout = if self.config.numa_aware {
806            MemoryLayoutStrategy::NumaAware
807        } else if self.config.cache_optimization != CacheOptimizationLevel::None {
808            MemoryLayoutStrategy::CacheOptimized
809        } else {
810            MemoryLayoutStrategy::Contiguous
811        };
812
813        let strategy = OptimizationStrategy {
814            name: format!("{}_optimized", operation),
815            thread_count: optimal_threads,
816            work_distribution,
817            memory_layout,
818            expected_performance: self.estimate_performance(optimal_threads, datasize),
819        };
820
821        // Cache the strategy
822        if let Ok(mut cache) = self.optimization_cache.write() {
823            cache.insert(cache_key, strategy.clone());
824        }
825
826        Ok(strategy)
827    }
828
829    /// Calculate optimal thread count for given data size
830    fn calculate_optimal_thread_count(&self, datasize: usize) -> usize {
831        let available_threads = self.execution_contexts.len();
832        let min_work_per_thread = self.config.min_worksize;
833
834        // Don't use more threads than can be effectively utilized
835        let max_useful_threads = (datasize / min_work_per_thread).max(1);
836
837        // Consider NUMA topology
838        let numa_optimal = if self.config.numa_aware {
839            // Simplified: assume 2 NUMA nodes
840            (available_threads / 2) * 2
841        } else {
842            available_threads
843        };
844
845        max_useful_threads.min(numa_optimal).min(available_threads)
846    }
847
848    /// Estimate performance for given configuration
849    fn estimate_performance(&self, thread_count: usize, datasize: usize) -> f64 {
850        // Simplified performance model
851        let sequential_time = datasize as f64;
852        let parallel_efficiency = 0.8; // Account for overhead
853        let parallel_time = sequential_time / (thread_count as f64 * parallel_efficiency);
854
855        sequential_time / parallel_time
856    }
857
858    /// Create work units for mean computation
859    fn create_work_units<F>(
860        &self,
861        data: &ArrayView1<F>,
862        strategy: &OptimizationStrategy,
863    ) -> StatsResult<Vec<WorkUnit<Vec<f64>>>>
864    where
865        F: Float + NumCast + std::fmt::Display,
866    {
867        let mut work_units = Vec::new();
868        let datasize = data.len();
869        let chunksize = datasize / strategy.thread_count;
870
871        for i in 0..strategy.thread_count {
872            let start = i * chunksize;
873            let end = if i == strategy.thread_count - 1 {
874                datasize
875            } else {
876                (i + 1) * chunksize
877            };
878
879            let chunkdata: Vec<f64> = data
880                .slice(s![start..end])
881                .iter()
882                .map(|&x| x.to_f64().unwrap_or(0.0))
883                .collect();
884
885            work_units.push(WorkUnit {
886                id: i,
887                data: chunkdata,
888                cost: (end - start) as f64,
889                dependencies: Vec::new(),
890                priority: WorkPriority::Normal,
891                numa_node: if self.config.numa_aware {
892                    Some(i % 2) // Simplified NUMA assignment
893                } else {
894                    None
895                },
896            });
897        }
898
899        Ok(work_units)
900    }
901
902    /// Create work units for variance computation
903    fn create_variance_work_units<F>(
904        &self,
905        data: &ArrayView1<F>,
906        mean_val: F,
907        _ddof: usize,
908        strategy: &OptimizationStrategy,
909    ) -> StatsResult<Vec<WorkUnit<Vec<f64>>>>
910    where
911        F: Float + NumCast + std::fmt::Display,
912    {
913        let mut work_units = Vec::new();
914        let datasize = data.len();
915        let chunksize = datasize / strategy.thread_count;
916        let mean_f64 = mean_val.to_f64().unwrap_or(0.0);
917
918        for i in 0..strategy.thread_count {
919            let start = i * chunksize;
920            let end = if i == strategy.thread_count - 1 {
921                datasize
922            } else {
923                (i + 1) * chunksize
924            };
925
926            let chunkdata: Vec<f64> = data
927                .slice(s![start..end])
928                .iter()
929                .map(|&x| {
930                    let _val = x.to_f64().unwrap_or(0.0);
931                    let diff = _val - mean_f64;
932                    diff * diff
933                })
934                .collect();
935
936            work_units.push(WorkUnit {
937                id: i,
938                data: chunkdata,
939                cost: (end - start) as f64,
940                dependencies: Vec::new(),
941                priority: WorkPriority::Normal,
942                numa_node: if self.config.numa_aware {
943                    Some(i % 2)
944                } else {
945                    None
946                },
947            });
948        }
949
950        Ok(work_units)
951    }
952
953    /// Execute parallel work units
954    fn execute_parallel_work(&self, workunits: &[WorkUnit<Vec<f64>>]) -> StatsResult<Vec<f64>> {
955        let num_threads = workunits.len();
956        let results = Arc::new(Mutex::new(vec![0.0; num_threads]));
957        let work_units = Arc::new(workunits.to_vec());
958
959        thread::scope(|s| {
960            let handles: Vec<_> = (0..num_threads)
961                .map(|thread_id| {
962                    let results = Arc::clone(&results);
963                    let work_units = Arc::clone(&work_units);
964
965                    s.spawn(move || {
966                        let work_unit = &work_units[thread_id];
967                        let sum: f64 = work_unit.data.iter().sum();
968
969                        if let Ok(mut results) = results.lock() {
970                            results[thread_id] = sum;
971                        }
972                    })
973                })
974                .collect();
975
976            // Wait for all threads to complete
977            for handle in handles {
978                let _ = handle.join();
979            }
980        });
981
982        let results = results.lock().expect("Operation failed").clone();
983        Ok(results)
984    }
985
986    /// Execute correlation work units
987    fn execute_correlation_work<F>(
988        &self,
989        work_units: &[WorkUnit<(Vec<F>, Vec<F>, usize, usize)>],
990    ) -> StatsResult<Vec<((usize, usize), F)>>
991    where
992        F: Float + NumCast + Send + Sync + Clone + std::iter::Sum + std::fmt::Display,
993    {
994        let num_work_units = work_units.len();
995        let results = Arc::new(Mutex::new(Vec::with_capacity(num_work_units)));
996        let work_units = Arc::new(work_units.to_vec());
997
998        thread::scope(|s| {
999            let handles: Vec<_> = (0..num_work_units)
1000                .map(|work_id| {
1001                    let results = Arc::clone(&results);
1002                    let work_units = Arc::clone(&work_units);
1003
1004                    s.spawn(move || {
1005                        let work_unit = &work_units[work_id];
1006                        let (ref x, ref y, i, j) = work_unit.data;
1007
1008                        // Compute Pearson correlation
1009                        let correlation = self.compute_correlation(x, y).unwrap_or(F::zero());
1010
1011                        if let Ok(mut results) = results.lock() {
1012                            results.push(((i, j), correlation));
1013                        }
1014                    })
1015                })
1016                .collect();
1017
1018            for handle in handles {
1019                let _ = handle.join();
1020            }
1021        });
1022
1023        let results = results.lock().expect("Operation failed").clone();
1024        Ok(results)
1025    }
1026
1027    /// Compute Pearson correlation between two vectors
1028    fn compute_correlation<F>(&self, x: &[F], y: &[F]) -> StatsResult<F>
1029    where
1030        F: Float + NumCast + Send + Sync + Clone + std::iter::Sum + std::fmt::Display,
1031    {
1032        if x.len() != y.len() || x.is_empty() {
1033            return Ok(F::zero());
1034        }
1035
1036        let n = F::from(x.len()).expect("Operation failed");
1037        let sum_x: F = x.iter().cloned().sum();
1038        let sum_y: F = y.iter().cloned().sum();
1039        let sum_xx: F = x.iter().map(|&xi| xi * xi).sum();
1040        let sum_yy: F = y.iter().map(|&yi| yi * yi).sum();
1041        let sum_xy: F = x.iter().zip(y).map(|(&xi, &yi)| xi * yi).sum();
1042
1043        let numerator = n * sum_xy - sum_x * sum_y;
1044        let denominator = ((n * sum_xx - sum_x * sum_x) * (n * sum_yy - sum_y * sum_y)).sqrt();
1045
1046        if denominator == F::zero() {
1047            Ok(F::zero())
1048        } else {
1049            Ok(numerator / denominator)
1050        }
1051    }
1052
1053    /// Combine mean results from parallel computation
1054    fn combine_mean_results<F>(&self, partial_results: &[f64], totalcount: usize) -> StatsResult<F>
1055    where
1056        F: Float + NumCast + std::fmt::Display,
1057    {
1058        let total_sum: f64 = partial_results.iter().sum();
1059        let mean = total_sum / totalcount as f64;
1060        F::from(mean).ok_or_else(|| {
1061            StatsError::ComputationError("Failed to convert mean result".to_string())
1062        })
1063    }
1064
1065    /// Combine variance results from parallel computation
1066    fn combine_variance_results<F>(
1067        &self,
1068        partial_results: &[f64],
1069        total_count: usize,
1070        ddof: usize,
1071    ) -> StatsResult<F>
1072    where
1073        F: Float + NumCast + std::fmt::Display,
1074    {
1075        let total_sum_sq_dev: f64 = partial_results.iter().sum();
1076        let variance = total_sum_sq_dev / (total_count - ddof) as f64;
1077        F::from(variance).ok_or_else(|| {
1078            StatsError::ComputationError("Failed to convert variance result".to_string())
1079        })
1080    }
1081
1082    /// Calculate execution metrics
1083    fn calculate_execution_metrics(
1084        &self,
1085        total_time: Duration,
1086        work_units: &[WorkUnit<Vec<f64>>],
1087    ) -> StatsResult<ParallelExecutionMetrics> {
1088        let threads_used = work_units.len();
1089        let total_work: f64 = work_units.iter().map(|wu| wu.cost).sum();
1090        let avg_work_per_thread = total_work / threads_used as f64;
1091
1092        // Estimate load balance efficiency
1093        let work_variance = work_units
1094            .iter()
1095            .map(|wu| (wu.cost - avg_work_per_thread).powi(2))
1096            .sum::<f64>()
1097            / threads_used as f64;
1098        let load_balance_efficiency = 1.0 - (work_variance.sqrt() / avg_work_per_thread).min(1.0);
1099
1100        // Estimate parallel efficiency (simplified)
1101        let sequential_time_estimate = total_time.mul_f64(threads_used as f64);
1102        let parallel_efficiency = total_time.as_secs_f64() / sequential_time_estimate.as_secs_f64();
1103
1104        let speedup = threads_used as f64 * parallel_efficiency;
1105
1106        Ok(ParallelExecutionMetrics {
1107            total_time,
1108            parallel_time: total_time.mul_f64(0.9), // Estimate
1109            sequential_time: total_time.mul_f64(0.1), // Estimate
1110            sync_time: total_time.mul_f64(0.05),    // Estimate
1111            threads_used,
1112            load_balance_efficiency,
1113            parallel_efficiency,
1114            speedup,
1115            work_distribution_quality: load_balance_efficiency,
1116        })
1117    }
1118
1119    /// Calculate matrix operation execution metrics
1120    fn calculate_matrix_execution_metrics<F>(
1121        &self,
1122        total_time: Duration,
1123        work_units: &[WorkUnit<(Vec<F>, Vec<F>, usize, usize)>],
1124    ) -> StatsResult<ParallelExecutionMetrics>
1125    where
1126        F: Float + NumCast + Send + Sync + Clone + std::iter::Sum + std::fmt::Display,
1127    {
1128        let threads_used = work_units.len();
1129        let _total_work: f64 = work_units.iter().map(|wu| wu.cost).sum();
1130        let load_balance_efficiency = 0.85; // Estimate for matrix operations
1131
1132        Ok(ParallelExecutionMetrics {
1133            total_time,
1134            parallel_time: total_time.mul_f64(0.85),
1135            sequential_time: total_time.mul_f64(0.15),
1136            sync_time: total_time.mul_f64(0.08),
1137            threads_used,
1138            load_balance_efficiency,
1139            parallel_efficiency: 0.8, // Estimate
1140            speedup: threads_used as f64 * 0.8,
1141            work_distribution_quality: load_balance_efficiency,
1142        })
1143    }
1144
1145    /// Analyze performance characteristics
1146    fn analyze_performance(
1147        &self,
1148        metrics: &ParallelExecutionMetrics,
1149    ) -> StatsResult<ParallelPerformanceAnalysis> {
1150        let mut bottlenecks = Vec::new();
1151
1152        // Detect load imbalance
1153        if metrics.load_balance_efficiency < 0.8 {
1154            bottlenecks.push(PerformanceBottleneck {
1155                bottleneck_type: BottleneckType::LoadImbalance,
1156                severity: 1.0 - metrics.load_balance_efficiency,
1157                description: "Load imbalance detected among threads".to_string(),
1158                mitigation: "Consider dynamic work distribution".to_string(),
1159            });
1160        }
1161
1162        // Detect synchronization overhead
1163        if metrics.sync_time.as_secs_f64() / metrics.total_time.as_secs_f64() > 0.1 {
1164            bottlenecks.push(PerformanceBottleneck {
1165                bottleneck_type: BottleneckType::SynchronizationOverhead,
1166                severity: metrics.sync_time.as_secs_f64() / metrics.total_time.as_secs_f64(),
1167                description: "High synchronization overhead".to_string(),
1168                mitigation: "Reduce synchronization points or use lock-free algorithms".to_string(),
1169            });
1170        }
1171
1172        // Performance rating
1173        let performance_rating = if metrics.parallel_efficiency > 0.9 {
1174            PerformanceRating::Excellent
1175        } else if metrics.parallel_efficiency > 0.7 {
1176            PerformanceRating::Good
1177        } else if metrics.parallel_efficiency > 0.5 {
1178            PerformanceRating::Acceptable
1179        } else if metrics.parallel_efficiency > 0.3 {
1180            PerformanceRating::Poor
1181        } else {
1182            PerformanceRating::Unacceptable
1183        };
1184
1185        Ok(ParallelPerformanceAnalysis {
1186            bottlenecks,
1187            scaling_analysis: ScalingAnalysis {
1188                theoretical_max_speedup: metrics.threads_used as f64,
1189                achieved_speedup: metrics.speedup,
1190                parallel_fraction: 0.9,             // Estimate
1191                serial_bottleneck_impact: 0.1,      // Estimate
1192                scaling_efficiency: HashMap::new(), // Would implement proper analysis
1193                optimal_thread_count: metrics.threads_used,
1194            },
1195            optimization_opportunities: Vec::new(), // Would implement opportunity detection
1196            performance_rating,
1197        })
1198    }
1199
1200    /// Measure resource utilization
1201    fn measure_resource_utilization(&self) -> StatsResult<ResourceUtilization> {
1202        // Simplified resource measurement
1203        Ok(ResourceUtilization {
1204            cpu_utilization: vec![0.8; self.execution_contexts.len()], // 80% utilization estimate
1205            memory_utilization: 0.6, // 60% memory utilization estimate
1206            cache_utilization: CacheUtilization {
1207                l1_hit_rate: 0.95,
1208                l2_hit_rate: 0.85,
1209                l3_hit_rate: 0.75,
1210                cache_line_utilization: 0.8,
1211            },
1212            numa_utilization: vec![0.8, 0.8], // Balanced NUMA utilization
1213            energy_consumption: None,         // Would require hardware monitoring
1214        })
1215    }
1216
1217    /// Update performance history for learning
1218    fn update_performance_history(&self, metrics: &ParallelExecutionMetrics) {
1219        if let Ok(mut history) = self.performance_history.lock() {
1220            history.push(metrics.clone());
1221
1222            // Keep only recent history
1223            if history.len() > 1000 {
1224                history.remove(0);
1225            }
1226        }
1227    }
1228
1229    /// Get performance statistics
1230    pub fn get_performance_statistics(&self) -> PerformanceStatistics {
1231        if let Ok(history) = self.performance_history.lock() {
1232            let total_operations = history.len();
1233            let avg_speedup = if !history.is_empty() {
1234                history.iter().map(|m| m.speedup).sum::<f64>() / history.len() as f64
1235            } else {
1236                0.0
1237            };
1238
1239            let avg_efficiency = if !history.is_empty() {
1240                history.iter().map(|m| m.parallel_efficiency).sum::<f64>() / history.len() as f64
1241            } else {
1242                0.0
1243            };
1244
1245            PerformanceStatistics {
1246                total_operations,
1247                average_speedup: avg_speedup,
1248                best_strategies: Vec::new(), // Would implement strategy tracking
1249                hardware_utilization: HardwareUtilization {
1250                    simd_utilization: 0.7, // Estimate
1251                    memory_bandwidth_utilization: 0.6,
1252                    cache_efficiency: avg_efficiency,
1253                    energy_efficiency: None,
1254                },
1255            }
1256        } else {
1257            PerformanceStatistics {
1258                total_operations: 0,
1259                average_speedup: 0.0,
1260                best_strategies: Vec::new(),
1261                hardware_utilization: HardwareUtilization {
1262                    simd_utilization: 0.0,
1263                    memory_bandwidth_utilization: 0.0,
1264                    cache_efficiency: 0.0,
1265                    energy_efficiency: None,
1266                },
1267            }
1268        }
1269    }
1270}
1271
1272/// Convenience functions for advanced-parallel operations
1273#[allow(dead_code)]
1274pub fn create_advanced_parallel_processor() -> StatsResult<AdvancedParallelStatsProcessor> {
1275    AdvancedParallelStatsProcessor::default()
1276}
1277
1278#[allow(dead_code)]
1279pub fn mean_advanced_parallel<F>(data: ArrayView1<F>) -> StatsResult<AdvancedParallelResult<F>>
1280where
1281    F: Float + NumCast + Send + Sync + Zero + std::iter::Sum + std::fmt::Display,
1282{
1283    let processor = AdvancedParallelStatsProcessor::default()?;
1284    processor.mean_advanced_parallel(data)
1285}
1286
1287#[allow(dead_code)]
1288pub fn variance_advanced_parallel<F>(
1289    data: ArrayView1<F>,
1290    ddof: usize,
1291) -> StatsResult<AdvancedParallelResult<F>>
1292where
1293    F: Float + NumCast + Send + Sync + Zero + std::iter::Sum + std::fmt::Display,
1294{
1295    let processor = AdvancedParallelStatsProcessor::default()?;
1296    processor.variance_advanced_parallel(data, ddof)
1297}
1298
1299#[cfg(test)]
1300mod tests {
1301    use super::*;
1302    use scirs2_core::ndarray::array;
1303
1304    #[test]
1305    fn test_advanced_parallel_config() {
1306        let config = AdvancedParallelConfig::default();
1307        assert!(config.adaptive_work_distribution);
1308        assert!(config.numa_aware);
1309        assert!(config.performance_monitoring);
1310    }
1311
1312    #[test]
1313    fn test_processor_creation() {
1314        let processor = AdvancedParallelStatsProcessor::default().expect("Operation failed");
1315        assert!(!processor.execution_contexts.is_empty());
1316    }
1317
1318    #[test]
1319    fn test_optimization_strategy_selection() {
1320        let processor = AdvancedParallelStatsProcessor::default().expect("Operation failed");
1321        let strategy = processor
1322            .select_optimization_strategy("mean", 10000)
1323            .expect("Operation failed");
1324
1325        assert!(!strategy.name.is_empty());
1326        assert!(strategy.thread_count > 0);
1327        assert!(strategy.expected_performance > 0.0);
1328    }
1329
1330    #[test]
1331    fn test_work_unit_creation() {
1332        let processor = AdvancedParallelStatsProcessor::default().expect("Operation failed");
1333        let data = array![1.0f64, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0];
1334        let strategy = OptimizationStrategy {
1335            name: "test".to_string(),
1336            thread_count: 2,
1337            work_distribution: WorkDistributionMethod::EqualChunks,
1338            memory_layout: MemoryLayoutStrategy::Contiguous,
1339            expected_performance: 2.0,
1340        };
1341
1342        let work_units = processor
1343            .create_work_units(&data.view(), &strategy)
1344            .expect("Operation failed");
1345        assert_eq!(work_units.len(), 2);
1346        assert!(!work_units[0].data.is_empty());
1347        assert!(!work_units[1].data.is_empty());
1348    }
1349
1350    #[test]
1351    fn test_correlation_computation() {
1352        let processor = AdvancedParallelStatsProcessor::default().expect("Operation failed");
1353        let x = vec![1.0, 2.0, 3.0, 4.0, 5.0];
1354        let y = vec![2.0, 4.0, 6.0, 8.0, 10.0];
1355
1356        let correlation = processor
1357            .compute_correlation(&x, &y)
1358            .expect("Operation failed");
1359        assert!((correlation - 1.0).abs() < 1e-10); // Perfect positive correlation
1360    }
1361
1362    #[test]
1363    fn test_performance_metrics_calculation() {
1364        let processor = AdvancedParallelStatsProcessor::default().expect("Operation failed");
1365        let work_units = vec![
1366            WorkUnit {
1367                id: 0,
1368                data: vec![1.0, 2.0],
1369                cost: 100.0,
1370                dependencies: Vec::new(),
1371                priority: WorkPriority::Normal,
1372                numa_node: None,
1373            },
1374            WorkUnit {
1375                id: 1,
1376                data: vec![3.0, 4.0],
1377                cost: 120.0,
1378                dependencies: Vec::new(),
1379                priority: WorkPriority::Normal,
1380                numa_node: None,
1381            },
1382        ];
1383
1384        let metrics = processor
1385            .calculate_execution_metrics(Duration::from_millis(100), &work_units)
1386            .expect("Operation failed");
1387
1388        assert_eq!(metrics.threads_used, 2);
1389        assert!(metrics.load_balance_efficiency > 0.0);
1390        assert!(metrics.speedup > 0.0);
1391    }
1392}