use crate::error::{StatsError, StatsResult};
use crate::error_standardization::ErrorMessages;
use scirs2_core::ndarray::{s, Array2, ArrayBase, Data, Ix1};
use scirs2_core::numeric::{Float, NumCast, Zero};
use scirs2_core::{
parallel_ops::*,
simd_ops::{PlatformCapabilities, SimdUnifiedOps},
};
use serde::{Deserialize, Serialize};
use std::collections::HashMap;
use std::sync::{Arc, RwLock};
use std::time::Instant;
#[derive(Debug, Clone)]
pub struct AdvancedSimdConfig {
pub enable_adaptive_optimization: bool,
pub enable_predictive_selection: bool,
pub enable_hardware_specialization: bool,
pub enable_performance_learning: bool,
pub target_accuracy: AccuracyLevel,
pub performance_preference: PerformancePreference,
pub memory_constraints: MemoryConstraints,
pub threading_preferences: ThreadingPreferences,
}
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum AccuracyLevel {
Fast, Balanced, Precise, Reference, }
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum PerformancePreference {
MaxSpeed, SpeedBiased, Balanced, AccuracyBiased, MaxAccuracy, }
#[derive(Debug, Clone)]
pub struct MemoryConstraints {
pub max_working_set_bytes: usize,
pub max_cache_usage_percent: f64,
pub enable_memory_mapping: bool,
pub prefer_in_place: bool,
}
#[derive(Debug, Clone)]
pub struct ThreadingPreferences {
pub max_threads: Option<usize>,
pub min_work_per_thread: usize,
pub enable_numa_optimization: bool,
pub affinity_strategy: AffinityStrategy,
}
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum AffinityStrategy {
None, PerformanceCores, EfficiencyCores, Spread, Compact, }
pub struct AdvancedSimdOptimizer {
config: AdvancedSimdConfig,
performance_cache: Arc<RwLock<HashMap<String, PerformanceProfile>>>,
hardware_profile: HardwareProfile,
algorithm_selector: AlgorithmSelector,
memory_manager: AdvancedMemoryManager,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PerformanceProfile {
pub operation_signature: OperationSignature,
pub performance_metrics: PerformanceMetrics,
pub optimal_algorithm: AlgorithmChoice,
pub last_updated: std::time::SystemTime,
pub measurement_count: usize,
}
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub struct OperationSignature {
pub operation_type: String,
pub size_bucket: SizeBucket,
pub data_type: String,
pub data_characteristics: DataCharacteristics,
}
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub enum SizeBucket {
Tiny, Small, Medium, Large, Huge, }
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub struct DataCharacteristics {
pub memory_layout: MemoryLayout,
pub distribution_pattern: DistributionPattern,
pub sparsity_level: SparsityLevel,
pub numerical_range: NumericalRange,
}
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub enum MemoryLayout {
Contiguous,
Strided(usize), Fragmented,
}
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub enum DistributionPattern {
Uniform,
Normal,
Exponential,
Power,
Bimodal,
Unknown,
}
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub enum SparsityLevel {
Dense, Moderate, Sparse, VerySparse, }
#[derive(Debug, Clone, Hash, PartialEq, Eq, Serialize, Deserialize)]
pub enum NumericalRange {
SmallNumbers, Normal, LargeNumbers, Mixed, }
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PerformanceMetrics {
pub execution_time_ns: f64,
pub memory_bandwidth_utilization: f64,
pub cache_efficiency: f64,
pub simd_efficiency: f64,
pub accuracy_score: f64,
pub energy_efficiency: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum AlgorithmChoice {
Scalar { algorithm: ScalarAlgorithm },
Simd {
instruction_set: SimdInstructionSet,
algorithm: SimdAlgorithm,
vector_width: usize,
},
Hybrid {
algorithms: Vec<AlgorithmChoice>,
thresholds: Vec<usize>,
},
ParallelSimd {
simd_choice: Box<AlgorithmChoice>,
thread_count: usize,
work_stealing: bool,
},
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum ScalarAlgorithm {
Standard,
Kahan, Pairwise, Compensated, Welford, }
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum SimdInstructionSet {
SSE2,
SSE3,
SSE41,
SSE42,
AVX,
AVX2,
AVX512F,
AVX512DQ,
NEON,
SVE,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum SimdAlgorithm {
Vectorized, Unrolled, Prefetched, Interleaved, FusedMultiplyAdd, BranchFree, }
#[derive(Debug, Clone)]
pub struct HardwareProfile {
pub architecture: CpuArchitecture,
pub simd_capabilities: Vec<SimdInstructionSet>,
pub cache_hierarchy: CacheHierarchy,
pub memory_subsystem: MemorySubsystem,
pub thermal_profile: ThermalProfile,
pub power_profile: PowerProfile,
}
#[derive(Debug, Clone, PartialEq)]
pub enum CpuArchitecture {
X86_64,
AArch64,
RISCV64,
WASM32,
}
#[derive(Debug, Clone)]
pub struct CacheHierarchy {
pub l1data_kb: usize,
pub l1_instruction_kb: usize,
pub l2_kb: usize,
pub l3_kb: usize,
pub cache_linesize: usize,
pub associativity: HashMap<String, usize>,
}
#[derive(Debug, Clone)]
pub struct MemorySubsystem {
pub memory_channels: usize,
pub memory_bandwidth_gbps: f64,
pub memory_latency_ns: f64,
pub numa_nodes: usize,
pub memory_controller_count: usize,
}
#[derive(Debug, Clone)]
pub struct ThermalProfile {
pub thermal_design_power: f64,
pub max_junction_temperature: f64,
pub thermal_throttling_threshold: f64,
pub cooling_solution: CoolingSolution,
}
#[derive(Debug, Clone)]
pub enum CoolingSolution {
Passive,
ActiveAir,
Liquid,
Custom,
}
#[derive(Debug, Clone)]
pub struct PowerProfile {
pub base_power_watts: f64,
pub max_power_watts: f64,
pub power_efficiency_curve: Vec<(f64, f64)>, pub voltage_frequency_curve: Vec<(f64, f64)>, }
pub struct AlgorithmSelector {
decision_tree: DecisionTree,
performance_predictor: PerformancePredictor,
cost_model: CostModel,
}
#[derive(Debug, Clone)]
pub struct DecisionTree {
nodes: Vec<DecisionNode>,
}
#[derive(Debug, Clone)]
pub struct DecisionNode {
pub condition: SelectionCondition,
pub true_branch: Option<usize>, pub false_branch: Option<usize>, pub algorithm: Option<AlgorithmChoice>,
}
#[derive(Debug, Clone)]
pub enum SelectionCondition {
DataSizeThreshold(usize),
CacheEfficiencyThreshold(f64),
AccuracyRequirement(AccuracyLevel),
MemoryConstraint(usize),
ThermalConstraint(f64),
PowerConstraint(f64),
Complex(
Box<SelectionCondition>,
LogicalOperator,
Box<SelectionCondition>,
),
}
#[derive(Debug, Clone)]
pub enum LogicalOperator {
And,
Or,
Not,
}
pub struct PerformancePredictor {
models: HashMap<String, PredictionModel>,
}
#[derive(Debug, Clone)]
pub struct PredictionModel {
pub model_type: ModelType,
pub coefficients: Vec<f64>,
pub feature_weights: HashMap<String, f64>,
pub accuracy: f64,
}
#[derive(Debug, Clone)]
pub enum ModelType {
Linear,
Polynomial(usize),
ExponentialDecay,
PowerLaw,
NeuralNetwork,
}
pub struct CostModel {
computation_cost_weights: HashMap<String, f64>,
memory_cost_weights: HashMap<String, f64>,
energy_cost_weights: HashMap<String, f64>,
}
pub struct AdvancedMemoryManager {
allocation_strategy: AllocationStrategy,
cache_optimizer: CacheOptimizer,
numa_manager: NumaManager,
}
#[derive(Debug, Clone)]
pub enum AllocationStrategy {
Standard,
Aligned(usize), Interleaved, LocalFirst, HugePage, }
pub struct CacheOptimizer {
prefetch_strategy: PrefetchStrategy,
blocking_strategy: BlockingStrategy,
}
#[derive(Debug, Clone)]
pub enum PrefetchStrategy {
None,
Sequential,
Stride(usize),
Adaptive,
}
#[derive(Debug, Clone)]
pub enum BlockingStrategy {
None,
L1Blocking(usize),
L2Blocking(usize),
L3Blocking(usize),
Adaptive,
}
pub struct NumaManager {
node_topology: Vec<NumaNode>,
allocation_policy: NumaAllocationPolicy,
}
#[derive(Debug, Clone)]
pub struct NumaNode {
pub node_id: usize,
pub cpu_cores: Vec<usize>,
pub memorysize_gb: f64,
pub memory_bandwidth_gbps: f64,
pub inter_node_latency_ns: HashMap<usize, f64>,
}
#[derive(Debug, Clone)]
pub enum NumaAllocationPolicy {
Default,
LocalOnly,
Interleaved,
Preferred(usize), }
impl AdvancedSimdOptimizer {
pub fn new(config: AdvancedSimdConfig) -> Self {
let hardware_profile = Self::detect_hardware_profile();
let algorithm_selector = Self::build_algorithm_selector(&hardware_profile);
let memory_manager = Self::create_memory_manager(&config, &hardware_profile);
Self {
config,
performance_cache: Arc::new(RwLock::new(HashMap::new())),
hardware_profile,
algorithm_selector,
memory_manager,
}
}
pub fn advanced_mean<F, D>(&self, x: &ArrayBase<D, Ix1>) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ 'static
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
if x.is_empty() {
return Err(ErrorMessages::empty_array("x"));
}
let characteristics = self.analyzedata_characteristics(x);
let signature = OperationSignature {
operation_type: "mean".to_string(),
size_bucket: Self::categorizesize(x.len()),
data_type: std::any::type_name::<F>().to_string(),
data_characteristics: characteristics,
};
if let Some(profile) = self.get_cached_performance(&signature) {
return self.execute_cached_algorithm(x, &profile.optimal_algorithm);
}
let algorithm = self.select_optimal_algorithm(&signature, x)?;
let (result, metrics) = self.execute_with_monitoring(x, &algorithm)?;
if self.config.enable_performance_learning {
self.cache_performance_profile(signature, algorithm, metrics);
}
Ok(result)
}
pub fn advanced_variance<F, D>(&self, x: &ArrayBase<D, Ix1>, ddof: usize) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ 'static
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
if x.is_empty() {
return Err(ErrorMessages::empty_array("x"));
}
let n = x.len();
if n <= ddof {
return Err(ErrorMessages::insufficientdata(
"variance calculation",
ddof + 1,
n,
));
}
let characteristics = self.analyzedata_characteristics(x);
let signature = OperationSignature {
operation_type: "variance".to_string(),
size_bucket: Self::categorizesize(n),
data_type: std::any::type_name::<F>().to_string(),
data_characteristics: characteristics,
};
if let Some(profile) = self.get_cached_performance(&signature) {
return self.execute_variance_cached(x, ddof, &profile.optimal_algorithm);
}
let algorithm = self.select_variance_algorithm(&signature, x, ddof)?;
let (result, metrics) = self.execute_variance_with_monitoring(x, ddof, &algorithm)?;
if self.config.enable_performance_learning {
self.cache_performance_profile(signature, algorithm, metrics);
}
Ok(result)
}
pub fn advanced_correlation<F, D1, D2>(
&self,
x: &ArrayBase<D1, Ix1>,
y: &ArrayBase<D2, Ix1>,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ 'static
+ std::iter::Sum<F>
+ std::fmt::Display,
D1: Data<Elem = F>,
D2: Data<Elem = F>,
{
if x.is_empty() {
return Err(ErrorMessages::empty_array("x"));
}
if y.is_empty() {
return Err(ErrorMessages::empty_array("y"));
}
if x.len() != y.len() {
return Err(ErrorMessages::length_mismatch("x", x.len(), "y", y.len()));
}
let characteristics = self.analyze_bivariate_characteristics(x, y);
let signature = OperationSignature {
operation_type: "correlation".to_string(),
size_bucket: Self::categorizesize(x.len()),
data_type: std::any::type_name::<F>().to_string(),
data_characteristics: characteristics,
};
if let Some(profile) = self.get_cached_performance(&signature) {
return self.execute_correlation_cached(x, y, &profile.optimal_algorithm);
}
let algorithm = self.select_correlation_algorithm(&signature, x, y)?;
let (result, metrics) = self.execute_correlation_with_monitoring(x, y, &algorithm)?;
if self.config.enable_performance_learning {
self.cache_performance_profile(signature, algorithm, metrics);
}
Ok(result)
}
pub fn advanced_matrix_multiply<F>(
&self,
a: &Array2<F>,
b: &Array2<F>,
) -> StatsResult<Array2<F>>
where
F: Float + NumCast + SimdUnifiedOps + Copy + Send + Sync + 'static + std::fmt::Display,
{
if a.ncols() != b.nrows() {
return Err(StatsError::dimension_mismatch(format!(
"Matrix multiplication requires A.cols == B.rows, got {} != {}",
a.ncols(),
b.nrows()
)));
}
let characteristics = Self::analyze_matrix_characteristics(a, b);
let signature = OperationSignature {
operation_type: "matrix_multiply".to_string(),
size_bucket: Self::categorize_matrixsize(a.nrows() * a.ncols()),
data_type: std::any::type_name::<F>().to_string(),
data_characteristics: characteristics,
};
let algorithm = Self::select_matrix_algorithm(&signature, a, b)?;
self.execute_matrix_multiply(a, b, &algorithm)
}
pub fn advanced_batch_statistics<F, D>(
&self,
data: &[ArrayBase<D, Ix1>],
operations: &[BatchOperation],
) -> StatsResult<BatchResults<F>>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ 'static
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
if data.is_empty() {
return Err(ErrorMessages::empty_array("data"));
}
let batchsize = data.len();
let avg_arraysize = data.iter().map(|arr| arr.len()).sum::<usize>() / batchsize;
let strategy = self.select_batch_strategy(batchsize, avg_arraysize, operations)?;
self.execute_batch_operations(data, operations, &strategy)
}
fn detect_hardware_profile() -> HardwareProfile {
let _capabilities = PlatformCapabilities::detect();
HardwareProfile {
architecture: if cfg!(target_arch = "x86_64") {
CpuArchitecture::X86_64
} else if cfg!(target_arch = "aarch64") {
CpuArchitecture::AArch64
} else if cfg!(target_arch = "riscv64") {
CpuArchitecture::RISCV64
} else {
CpuArchitecture::WASM32
},
simd_capabilities: vec![
SimdInstructionSet::SSE2,
SimdInstructionSet::SSE42,
SimdInstructionSet::AVX2,
],
cache_hierarchy: CacheHierarchy {
l1data_kb: 32,
l1_instruction_kb: 32,
l2_kb: 256,
l3_kb: 8192,
cache_linesize: 64,
associativity: [
("L1".to_string(), 8),
("L2".to_string(), 8),
("L3".to_string(), 16),
]
.iter()
.cloned()
.collect(),
},
memory_subsystem: MemorySubsystem {
memory_channels: 2,
memory_bandwidth_gbps: 50.0,
memory_latency_ns: 100.0,
numa_nodes: 1,
memory_controller_count: 1,
},
thermal_profile: ThermalProfile {
thermal_design_power: 65.0,
max_junction_temperature: 100.0,
thermal_throttling_threshold: 85.0,
cooling_solution: CoolingSolution::ActiveAir,
},
power_profile: PowerProfile {
base_power_watts: 15.0,
max_power_watts: 65.0,
power_efficiency_curve: vec![(0.1, 0.8), (0.5, 0.9), (1.0, 0.85)],
voltage_frequency_curve: vec![(1.0, 2.4), (1.2, 3.2), (1.35, 3.8)],
},
}
}
fn build_algorithm_selector(hardware: &HardwareProfile) -> AlgorithmSelector {
let nodes = vec![
DecisionNode {
condition: SelectionCondition::DataSizeThreshold(1000),
true_branch: Some(1),
false_branch: Some(2),
algorithm: None,
},
DecisionNode {
condition: SelectionCondition::CacheEfficiencyThreshold(0.8),
true_branch: None,
false_branch: None,
algorithm: Some(AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
}),
},
DecisionNode {
condition: SelectionCondition::AccuracyRequirement(AccuracyLevel::Precise),
true_branch: None,
false_branch: None,
algorithm: Some(AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Kahan,
}),
},
];
let decision_tree = DecisionTree { nodes };
AlgorithmSelector {
decision_tree,
performance_predictor: PerformancePredictor {
models: HashMap::new(),
},
cost_model: CostModel {
computation_cost_weights: HashMap::new(),
memory_cost_weights: HashMap::new(),
energy_cost_weights: HashMap::new(),
},
}
}
fn create_memory_manager(
config: &AdvancedSimdConfig,
hardware: &HardwareProfile,
) -> AdvancedMemoryManager {
let allocation_strategy = if config.memory_constraints.prefer_in_place {
AllocationStrategy::Standard
} else {
AllocationStrategy::Aligned(64) };
let cache_optimizer = CacheOptimizer {
prefetch_strategy: PrefetchStrategy::Adaptive,
blocking_strategy: BlockingStrategy::Adaptive,
};
let numa_manager = NumaManager {
node_topology: vec![NumaNode {
node_id: 0,
cpu_cores: (0..num_cpus::get()).collect(),
memorysize_gb: 16.0,
memory_bandwidth_gbps: hardware.memory_subsystem.memory_bandwidth_gbps,
inter_node_latency_ns: HashMap::new(),
}],
allocation_policy: NumaAllocationPolicy::Default,
};
AdvancedMemoryManager {
allocation_strategy,
cache_optimizer,
numa_manager,
}
}
fn analyzedata_characteristics<F, D>(&self, x: &ArrayBase<D, Ix1>) -> DataCharacteristics
where
F: Float + Copy + std::fmt::Display,
D: Data<Elem = F>,
{
let memory_layout = if x.as_slice().is_some() {
MemoryLayout::Contiguous
} else {
MemoryLayout::Strided(1) };
let zero_count = x.iter().filter(|&&val| val == F::zero()).count();
let sparsity_ratio = zero_count as f64 / x.len() as f64;
let sparsity_level = match sparsity_ratio {
r if r < 0.05 => SparsityLevel::Dense,
r if r < 0.5 => SparsityLevel::Moderate,
r if r < 0.95 => SparsityLevel::Sparse,
_ => SparsityLevel::VerySparse,
};
let (min_abs, max_abs) =
x.iter()
.fold((F::infinity(), F::zero()), |(min_abs, max_abs), &val| {
let abs_val = val.abs();
(min_abs.min(abs_val), max_abs.max(abs_val))
});
let numerical_range = if max_abs
< F::from(1e-6).expect("Failed to convert constant to float")
{
NumericalRange::SmallNumbers
} else if min_abs > F::from(1e6).expect("Failed to convert constant to float") {
NumericalRange::LargeNumbers
} else if max_abs / min_abs > F::from(1e12).expect("Failed to convert constant to float") {
NumericalRange::Mixed
} else {
NumericalRange::Normal
};
DataCharacteristics {
memory_layout,
distribution_pattern: DistributionPattern::Unknown, sparsity_level,
numerical_range,
}
}
fn analyze_bivariate_characteristics<F, D1, D2>(
&self,
x: &ArrayBase<D1, Ix1>,
_y: &ArrayBase<D2, Ix1>,
) -> DataCharacteristics
where
F: Float + Copy + std::fmt::Display,
D1: Data<Elem = F>,
D2: Data<Elem = F>,
{
self.analyzedata_characteristics(x)
}
fn analyze_matrix_characteristics<F>(a: &Array2<F>, b: &Array2<F>) -> DataCharacteristics
where
F: Float + Copy + std::fmt::Display,
{
DataCharacteristics {
memory_layout: MemoryLayout::Contiguous, distribution_pattern: DistributionPattern::Unknown,
sparsity_level: SparsityLevel::Dense, numerical_range: NumericalRange::Normal,
}
}
fn categorizesize(size: usize) -> SizeBucket {
match size {
s if s < 64 => SizeBucket::Tiny,
s if s < 1024 => SizeBucket::Small,
s if s < 65536 => SizeBucket::Medium,
s if s < 1048576 => SizeBucket::Large,
_ => SizeBucket::Huge,
}
}
fn categorize_matrixsize(_totalelements: usize) -> SizeBucket {
Self::categorizesize(_totalelements)
}
fn get_cached_performance(&self, signature: &OperationSignature) -> Option<PerformanceProfile> {
if !self.config.enable_performance_learning {
return None;
}
let cache = self.performance_cache.read().ok()?;
let key = format!("{:?}", signature);
cache.get(&key).cloned()
}
fn cache_performance_profile(
&self,
signature: OperationSignature,
algorithm: AlgorithmChoice,
metrics: PerformanceMetrics,
) {
if !self.config.enable_performance_learning {
return;
}
let profile = PerformanceProfile {
operation_signature: signature.clone(),
performance_metrics: metrics,
optimal_algorithm: algorithm,
last_updated: std::time::SystemTime::now(),
measurement_count: 1,
};
if let Ok(mut cache) = self.performance_cache.write() {
let key = format!("{:?}", signature);
cache.insert(key, profile);
}
}
fn select_optimal_algorithm<F, D>(
&self,
signature: &OperationSignature,
_x: &ArrayBase<D, Ix1>,
) -> StatsResult<AlgorithmChoice>
where
F: Float + Copy,
D: Data<Elem = F>,
{
let algorithm = match (&signature.size_bucket, &self.config.target_accuracy) {
(SizeBucket::Tiny, _) => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Standard,
},
(SizeBucket::Small, AccuracyLevel::Precise) => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Kahan,
},
(SizeBucket::Medium | SizeBucket::Large, AccuracyLevel::Fast) => {
AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
}
}
(SizeBucket::Huge, _) => AlgorithmChoice::ParallelSimd {
simd_choice: Box::new(AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
}),
thread_count: num_cpus::get(),
work_stealing: true,
},
_ => AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
},
};
Ok(algorithm)
}
fn select_variance_algorithm<F, D>(
&self,
signature: &OperationSignature,
_x: &ArrayBase<D, Ix1>,
_ddof: usize,
) -> StatsResult<AlgorithmChoice>
where
F: Float + Copy,
D: Data<Elem = F>,
{
let algorithm = match (&signature.size_bucket, &self.config.target_accuracy) {
(SizeBucket::Tiny | SizeBucket::Small, _) => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Welford,
},
(_, AccuracyLevel::Precise | AccuracyLevel::Reference) => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Welford,
},
(SizeBucket::Medium | SizeBucket::Large, _) => AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
},
(SizeBucket::Huge, _) => AlgorithmChoice::ParallelSimd {
simd_choice: Box::new(AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Welford,
}),
thread_count: num_cpus::get(),
work_stealing: true,
},
};
Ok(algorithm)
}
fn select_correlation_algorithm<F, D1, D2>(
&self,
signature: &OperationSignature,
_x: &ArrayBase<D1, Ix1>,
_y: &ArrayBase<D2, Ix1>,
) -> StatsResult<AlgorithmChoice>
where
F: Float + Copy,
D1: Data<Elem = F>,
D2: Data<Elem = F>,
{
let algorithm = match &signature.size_bucket {
SizeBucket::Tiny => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Standard,
},
SizeBucket::Small => AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Compensated,
},
SizeBucket::Medium | SizeBucket::Large => AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::FusedMultiplyAdd,
vector_width: 4,
},
SizeBucket::Huge => AlgorithmChoice::ParallelSimd {
simd_choice: Box::new(AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::FusedMultiplyAdd,
vector_width: 4,
}),
thread_count: num_cpus::get(),
work_stealing: false,
},
};
Ok(algorithm)
}
fn select_matrix_algorithm<F>(
signature: &OperationSignature,
a: &Array2<F>,
b: &Array2<F>,
) -> StatsResult<AlgorithmChoice>
where
F: Float + Copy + std::fmt::Display,
{
let total_ops = a.nrows() * a.ncols() * b.ncols();
let algorithm = if total_ops < 1000 {
AlgorithmChoice::Scalar {
algorithm: ScalarAlgorithm::Standard,
}
} else if total_ops < 1_000_000 {
AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
}
} else {
AlgorithmChoice::ParallelSimd {
simd_choice: Box::new(AlgorithmChoice::Simd {
instruction_set: SimdInstructionSet::AVX2,
algorithm: SimdAlgorithm::Vectorized,
vector_width: 4,
}),
thread_count: num_cpus::get(),
work_stealing: true,
}
};
Ok(algorithm)
}
fn execute_cached_algorithm<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
algorithm: &AlgorithmChoice,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
self.execute_mean_algorithm(x, algorithm)
}
fn execute_with_monitoring<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
algorithm: &AlgorithmChoice,
) -> StatsResult<(F, PerformanceMetrics)>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
let start_time = Instant::now();
let result = self.execute_mean_algorithm(x, algorithm)?;
let execution_time = start_time.elapsed();
let metrics = PerformanceMetrics {
execution_time_ns: execution_time.as_nanos() as f64,
memory_bandwidth_utilization: 0.8, cache_efficiency: 0.9,
simd_efficiency: 0.85,
accuracy_score: 0.99,
energy_efficiency: 1e9, };
Ok((result, metrics))
}
fn execute_mean_algorithm<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
algorithm: &AlgorithmChoice,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
match algorithm {
AlgorithmChoice::Scalar { algorithm } => self.execute_scalar_mean(x, algorithm),
AlgorithmChoice::Simd { .. } => {
Ok(F::simd_sum(&x.view()) / F::from(x.len()).expect("Operation failed"))
}
AlgorithmChoice::ParallelSimd {
simd_choice,
thread_count,
..
} => self.execute_parallel_mean(x, simd_choice, *thread_count),
AlgorithmChoice::Hybrid { .. } => {
Ok(F::simd_sum(&x.view()) / F::from(x.len()).expect("Operation failed"))
}
}
}
fn execute_scalar_mean<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
algorithm: &ScalarAlgorithm,
) -> StatsResult<F>
where
F: Float + NumCast + Copy + std::fmt::Display,
D: Data<Elem = F>,
{
let result = match algorithm {
ScalarAlgorithm::Standard => x.iter().fold(F::zero(), |acc, &val| acc + val),
ScalarAlgorithm::Kahan => self.kahan_sum(x),
ScalarAlgorithm::Pairwise => self.pairwise_sum(x),
ScalarAlgorithm::Compensated => self.compensated_sum(x),
ScalarAlgorithm::Welford => {
x.iter().fold(F::zero(), |acc, &val| acc + val)
}
};
Ok(result / F::from(x.len()).expect("Operation failed"))
}
fn kahan_sum<F, D>(&self, x: &ArrayBase<D, Ix1>) -> F
where
F: Float + Copy + std::fmt::Display,
D: Data<Elem = F>,
{
let mut sum = F::zero();
let mut c = F::zero();
for &value in x.iter() {
let y = value - c;
let t = sum + y;
c = (t - sum) - y;
sum = t;
}
sum
}
fn pairwise_sum<F, D>(&self, x: &ArrayBase<D, Ix1>) -> F
where
F: Float + Copy + std::fmt::Display,
D: Data<Elem = F>,
{
if x.len() <= 16 {
return x.iter().fold(F::zero(), |acc, &val| acc + val);
}
let mid = x.len() / 2;
let left_sum = self.pairwise_sum(&x.slice(s![..mid]));
let right_sum = self.pairwise_sum(&x.slice(s![mid..]));
left_sum + right_sum
}
fn compensated_sum<F, D>(&self, x: &ArrayBase<D, Ix1>) -> F
where
F: Float + Copy + std::fmt::Display,
D: Data<Elem = F>,
{
self.kahan_sum(x)
}
fn execute_parallel_mean<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
simd_choice: &AlgorithmChoice,
thread_count: usize,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
if x.len() < 1000 {
return self.execute_mean_algorithm(x, simd_choice);
}
let chunksize = x.len().div_ceil(thread_count);
let sum: F = x
.axis_chunks_iter(scirs2_core::ndarray::Axis(0), chunksize)
.into_par_iter()
.map(|chunk| F::simd_sum(&chunk))
.sum();
Ok(sum / F::from(x.len()).expect("Operation failed"))
}
fn execute_variance_cached<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
ddof: usize,
algorithm: &AlgorithmChoice,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
let mean = self.execute_mean_algorithm(x, algorithm)?;
let sum_sq_dev = x
.iter()
.map(|&val| {
let dev = val - mean;
dev * dev
})
.fold(F::zero(), |acc, val| acc + val);
Ok(sum_sq_dev / F::from(x.len() - ddof).expect("Operation failed"))
}
fn execute_variance_with_monitoring<F, D>(
&self,
x: &ArrayBase<D, Ix1>,
ddof: usize,
algorithm: &AlgorithmChoice,
) -> StatsResult<(F, PerformanceMetrics)>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
let start_time = Instant::now();
let result = self.execute_variance_cached(x, ddof, algorithm)?;
let execution_time = start_time.elapsed();
let metrics = PerformanceMetrics {
execution_time_ns: execution_time.as_nanos() as f64,
memory_bandwidth_utilization: 0.8,
cache_efficiency: 0.9,
simd_efficiency: 0.85,
accuracy_score: 0.99,
energy_efficiency: 1e9,
};
Ok((result, metrics))
}
fn execute_correlation_cached<F, D1, D2>(
&self,
x: &ArrayBase<D1, Ix1>,
y: &ArrayBase<D2, Ix1>,
algorithm: &AlgorithmChoice,
) -> StatsResult<F>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D1: Data<Elem = F>,
D2: Data<Elem = F>,
{
let mean_x = self.execute_mean_algorithm(x, algorithm)?;
let mean_y = self.execute_mean_algorithm(y, algorithm)?;
let mut sum_xy = F::zero();
let mut sum_x2 = F::zero();
let mut sum_y2 = F::zero();
for (x_val, y_val) in x.iter().zip(y.iter()) {
let x_dev = *x_val - mean_x;
let y_dev = *y_val - mean_y;
sum_xy = sum_xy + x_dev * y_dev;
sum_x2 = sum_x2 + x_dev * x_dev;
sum_y2 = sum_y2 + y_dev * y_dev;
}
let denominator = (sum_x2 * sum_y2).sqrt();
if denominator == F::zero() {
Ok(F::zero())
} else {
Ok(sum_xy / denominator)
}
}
fn execute_correlation_with_monitoring<F, D1, D2>(
&self,
x: &ArrayBase<D1, Ix1>,
y: &ArrayBase<D2, Ix1>,
algorithm: &AlgorithmChoice,
) -> StatsResult<(F, PerformanceMetrics)>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ std::iter::Sum<F>
+ std::fmt::Display,
D1: Data<Elem = F>,
D2: Data<Elem = F>,
{
let start_time = Instant::now();
let result = self.execute_correlation_cached(x, y, algorithm)?;
let execution_time = start_time.elapsed();
let metrics = PerformanceMetrics {
execution_time_ns: execution_time.as_nanos() as f64,
memory_bandwidth_utilization: 0.8,
cache_efficiency: 0.9,
simd_efficiency: 0.85,
accuracy_score: 0.99,
energy_efficiency: 1e9,
};
Ok((result, metrics))
}
fn execute_matrix_multiply<F>(
&self,
a: &Array2<F>,
b: &Array2<F>,
_algorithm: &AlgorithmChoice,
) -> StatsResult<Array2<F>>
where
F: Float + NumCast + SimdUnifiedOps + Copy + Send + Sync + Zero + std::fmt::Display,
{
let (m, k) = (a.nrows(), a.ncols());
let n = b.ncols();
let mut c = Array2::zeros((m, n));
for i in 0..m {
for j in 0..n {
let mut sum = F::zero();
for l in 0..k {
sum = sum + a[[i, l]] * b[[l, j]];
}
c[[i, j]] = sum;
}
}
Ok(c)
}
fn select_batch_strategy(
&self,
batchsize: usize,
avg_arraysize: usize,
_operations: &[BatchOperation],
) -> StatsResult<BatchStrategy> {
if batchsize < 10 {
Ok(BatchStrategy::Sequential)
} else if avg_arraysize > 1000 {
Ok(BatchStrategy::ParallelArrays)
} else {
Ok(BatchStrategy::ParallelOperations)
}
}
fn execute_batch_operations<F, D>(
&self,
data: &[ArrayBase<D, Ix1>],
operations: &[BatchOperation],
_strategy: &BatchStrategy,
) -> StatsResult<BatchResults<F>>
where
F: Float
+ NumCast
+ SimdUnifiedOps
+ Copy
+ Send
+ Sync
+ 'static
+ std::iter::Sum<F>
+ std::fmt::Display,
D: Data<Elem = F>,
{
let mut results = BatchResults {
means: Vec::new(),
variances: Vec::new(),
correlations: Vec::new(),
};
for array in data {
if operations.contains(&BatchOperation::Mean) {
let mean = self.advanced_mean(array)?;
results.means.push(mean);
}
if operations.contains(&BatchOperation::Variance) {
let variance = self.advanced_variance(array, 1)?;
results.variances.push(variance);
}
}
Ok(results)
}
}
#[derive(Debug, Clone, PartialEq)]
pub enum BatchOperation {
Mean,
Variance,
StandardDeviation,
Correlation,
Covariance,
}
#[derive(Debug, Clone)]
pub enum BatchStrategy {
Sequential,
ParallelArrays,
ParallelOperations,
Hybrid,
}
#[derive(Debug, Clone)]
pub struct BatchResults<F> {
pub means: Vec<F>,
pub variances: Vec<F>,
pub correlations: Vec<F>,
}
impl Default for AdvancedSimdConfig {
fn default() -> Self {
Self {
enable_adaptive_optimization: true,
enable_predictive_selection: true,
enable_hardware_specialization: true,
enable_performance_learning: true,
target_accuracy: AccuracyLevel::Balanced,
performance_preference: PerformancePreference::Balanced,
memory_constraints: MemoryConstraints {
max_working_set_bytes: 1_073_741_824, max_cache_usage_percent: 0.8,
enable_memory_mapping: true,
prefer_in_place: false,
},
threading_preferences: ThreadingPreferences {
max_threads: None, min_work_per_thread: 1000,
enable_numa_optimization: true,
affinity_strategy: AffinityStrategy::Spread,
},
}
}
}
#[allow(dead_code)]
pub fn create_advanced_simd_optimizer(
_config: Option<AdvancedSimdConfig>,
) -> AdvancedSimdOptimizer {
let _config = _config.unwrap_or_default();
AdvancedSimdOptimizer::new(_config)
}
#[cfg(test)]
mod tests {
use super::*;
use scirs2_core::ndarray::array;
#[test]
fn test_advanced_simd_optimizer_creation() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
assert!(matches!(
optimizer.hardware_profile.architecture,
CpuArchitecture::X86_64 | CpuArchitecture::AArch64 | CpuArchitecture::WASM32
));
}
#[test]
fn test_advanced_mean_calculation() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let data = array![1.0, 2.0, 3.0, 4.0, 5.0];
let result = optimizer
.advanced_mean(&data.view())
.expect("Operation failed");
assert!((result - 3.0).abs() < 1e-10);
}
#[test]
fn test_advanced_variance_calculation() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let data = array![1.0, 2.0, 3.0, 4.0, 5.0];
let result = optimizer
.advanced_variance(&data.view(), 1)
.expect("Operation failed");
assert!((result - 2.5).abs() < 1e-10);
}
#[test]
fn test_advanced_correlation_calculation() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let x = array![1.0, 2.0, 3.0, 4.0, 5.0];
let y = array![5.0, 4.0, 3.0, 2.0, 1.0];
let result = optimizer
.advanced_correlation(&x.view(), &y.view())
.expect("Operation failed");
assert!((result - (-1.0)).abs() < 1e-10);
}
#[test]
fn testdata_characteristics_analysis() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let data = array![1.0, 2.0, 3.0, 4.0, 5.0];
let characteristics = optimizer.analyzedata_characteristics(&data.view());
assert!(matches!(
characteristics.memory_layout,
MemoryLayout::Contiguous
));
assert!(matches!(
characteristics.sparsity_level,
SparsityLevel::Dense
));
}
#[test]
fn testsize_categorization() {
assert!(matches!(
AdvancedSimdOptimizer::categorizesize(50),
SizeBucket::Tiny
));
assert!(matches!(
AdvancedSimdOptimizer::categorizesize(500),
SizeBucket::Small
));
assert!(matches!(
AdvancedSimdOptimizer::categorizesize(50000),
SizeBucket::Medium
));
}
#[test]
fn test_kahan_summation() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let data = array![1e10, 1.0, -1e10];
let result = optimizer.kahan_sum(&data.view());
assert!((result - 1.0).abs() < 1e-10);
let challengingdata = array![1e8, 1.0, 1e8, -1e8, -1e8];
let challenging_result = optimizer.kahan_sum(&challengingdata.view());
assert!((challenging_result - 1.0).abs() < 1e-10);
}
#[test]
fn test_batch_operations() {
let config = AdvancedSimdConfig::default();
let optimizer = AdvancedSimdOptimizer::new(config);
let data1 = array![1.0, 2.0, 3.0];
let data2 = array![4.0, 5.0, 6.0];
let data_arrays = vec![data1.view(), data2.view()];
let operations = vec![BatchOperation::Mean, BatchOperation::Variance];
let results = optimizer
.advanced_batch_statistics(&data_arrays, &operations)
.expect("Operation failed");
assert_eq!(results.means.len(), 2);
assert_eq!(results.variances.len(), 2);
assert!((results.means[0] - 2.0).abs() < 1e-10);
assert!((results.means[1] - 5.0).abs() < 1e-10);
}
}