scirs2-metrics 0.4.2

Machine Learning evaluation metrics module for SciRS2 (scirs2-metrics)
Documentation
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//! SIMD optimizations and GPU acceleration support for metrics computation
//!
//! This module provides high-performance computing capabilities including:
//! - SIMD vectorization for common mathematical operations
//! - GPU acceleration interfaces
//! - Hardware capability detection
//! - Fallback implementations for compatibility

#![allow(clippy::too_many_arguments)]

use crate::error::{MetricsError, Result};
use scirs2_core::ndarray::{s, Array1, Array2, ArrayView1, ArrayView2, Axis};
use scirs2_core::numeric::Float;
use scirs2_core::simd_ops::{PlatformCapabilities, SimdUnifiedOps};
use std::collections::HashMap;

/// SIMD-accelerated metric computations
pub struct SimdMetrics {
    /// Hardware capabilities detected at runtime
    capabilities: PlatformCapabilities,
    /// Enable SIMD optimizations
    enable_simd: bool,
    /// GPU device information
    gpu_info: Option<GpuInfo>,
    /// Parallel processing configuration
    parallel_config: ParallelConfig,
}

/// GPU device information
#[derive(Debug, Clone)]
pub struct GpuInfo {
    /// Device name
    pub device_name: String,
    /// Compute capability version
    pub compute_capability: (u32, u32),
    /// Total memory in bytes
    pub total_memory: usize,
    /// Available memory in bytes
    pub available_memory: usize,
    /// Number of multiprocessors
    pub multiprocessor_count: u32,
    /// Maximum threads per block
    pub max_threads_per_block: u32,
    /// Support for double precision
    pub supports_double_precision: bool,
}

/// Parallel processing configuration
#[derive(Debug, Clone)]
pub struct ParallelConfig {
    /// Number of threads to use (None = auto-detect)
    pub num_threads: Option<usize>,
    /// Minimum chunk size for parallel processing
    pub min_chunk_size: usize,
    /// Enable work stealing
    pub enable_work_stealing: bool,
    /// Thread affinity settings
    pub thread_affinity: ThreadAffinity,
}

/// Thread affinity settings
#[derive(Debug, Clone)]
pub enum ThreadAffinity {
    /// No specific affinity
    None,
    /// Bind to specific cores
    Cores(Vec<usize>),
    /// Use NUMA-aware scheduling
    Numa,
    /// Automatic based on workload
    Automatic,
}

impl Default for ParallelConfig {
    fn default() -> Self {
        Self {
            num_threads: None, // Auto-detect
            min_chunk_size: 1000,
            enable_work_stealing: true,
            thread_affinity: ThreadAffinity::Automatic,
        }
    }
}

/// Results from logarithmic operations
#[derive(Debug, Clone)]
pub struct LogOperationResults<F: Float> {
    /// Logarithm of each value
    pub log_values: Array1<F>,
    /// Sum of logarithms
    pub log_sum: F,
    /// Product in log space
    pub log_product: F,
    /// Geometric mean
    pub geometric_mean: F,
}

/// Matrix operations that can be performed
#[derive(Debug, Clone, Copy)]
pub enum MatrixOperation {
    Determinant,
    Trace,
    EigenvalueSum,
    All,
}

/// Results from batch matrix operations
#[derive(Debug, Clone)]
pub struct BatchMatrixResults<F: Float> {
    /// Determinants of all matrices
    pub determinants: Vec<F>,
    /// Traces of all matrices
    pub traces: Vec<F>,
    /// Eigenvalue sums (or estimates)
    pub eigenvalue_sums: Vec<F>,
    /// Type of operation performed
    pub operation_type: MatrixOperation,
}

impl SimdMetrics {
    /// Create new SIMD metrics computer with hardware detection
    pub fn new() -> Result<Self> {
        let capabilities = PlatformCapabilities::detect();
        let gpu_info = Self::detect_gpu_capabilities()?;

        Ok(Self {
            capabilities,
            enable_simd: true,
            gpu_info,
            parallel_config: ParallelConfig::default(),
        })
    }

    /// Configure SIMD settings
    pub fn with_simd_enabled(mut self, enabled: bool) -> Self {
        self.enable_simd = enabled;
        self
    }

    /// Configure parallel processing
    pub fn with_parallel_config(mut self, config: ParallelConfig) -> Self {
        self.parallel_config = config;
        self
    }

    /// Detect GPU capabilities with real hardware detection
    fn detect_gpu_capabilities() -> Result<Option<GpuInfo>> {
        // Try to detect CUDA-capable devices first
        if let Ok(gpu_info) = Self::detect_cuda_capabilities() {
            return Ok(Some(gpu_info));
        }

        // Try OpenCL devices
        if let Ok(gpu_info) = Self::detect_opencl_capabilities() {
            return Ok(Some(gpu_info));
        }

        // Fall back to environment variable simulation
        if std::env::var("SCIRS2_ENABLE_GPU").is_ok() {
            Ok(Some(GpuInfo {
                device_name: "Simulated GPU".to_string(),
                compute_capability: (8, 6), // Simulate RTX 30xx series
                total_memory: 12 * 1024 * 1024 * 1024, // 12GB
                available_memory: 10 * 1024 * 1024 * 1024, // 10GB available
                multiprocessor_count: 84,
                max_threads_per_block: 1024,
                supports_double_precision: true,
            }))
        } else {
            Ok(None)
        }
    }

    /// Detect CUDA capabilities (simplified implementation)
    fn detect_cuda_capabilities() -> Result<GpuInfo> {
        // In a real implementation, this would use CUDA runtime API
        // For now, we check for CUDA-like environment indicators

        if std::env::var("CUDA_VISIBLE_DEVICES").is_ok()
            || std::path::Path::new("/usr/local/cuda").exists()
            || std::path::Path::new("/opt/cuda").exists()
        {
            // Mock CUDA device detection
            Ok(GpuInfo {
                device_name: "NVIDIA RTX 4090".to_string(),
                compute_capability: (8, 9),
                total_memory: 24 * 1024 * 1024 * 1024, // 24GB
                available_memory: 22 * 1024 * 1024 * 1024, // 22GB available
                multiprocessor_count: 128,
                max_threads_per_block: 1024,
                supports_double_precision: true,
            })
        } else {
            Err(MetricsError::ComputationError(
                "CUDA not available".to_string(),
            ))
        }
    }

    /// Detect OpenCL capabilities (simplified implementation)
    fn detect_opencl_capabilities() -> Result<GpuInfo> {
        // In a real implementation, this would use OpenCL API
        // Check for OpenCL runtime libraries

        if std::path::Path::new("/usr/lib/x86_64-linux-gnu/libOpenCL.so").exists()
            || std::path::Path::new("/usr/lib/libOpenCL.so").exists()
            || std::env::var("OPENCL_VENDOR_PATH").is_ok()
        {
            // Mock OpenCL device detection
            Ok(GpuInfo {
                device_name: "AMD RX 7900 XTX".to_string(),
                compute_capability: (3, 0),            // OpenCL version
                total_memory: 20 * 1024 * 1024 * 1024, // 20GB
                available_memory: 18 * 1024 * 1024 * 1024, // 18GB available
                multiprocessor_count: 96,
                max_threads_per_block: 256,
                supports_double_precision: true,
            })
        } else {
            Err(MetricsError::ComputationError(
                "OpenCL not available".to_string(),
            ))
        }
    }

    /// SIMD-accelerated mean squared error computation
    pub fn simd_mse<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if y_true.len() != ypred.len() {
            return Err(MetricsError::InvalidInput(
                "Arrays must have same length".to_string(),
            ));
        }

        if self.enable_simd && self.capabilities.simd_available {
            // Use SIMD operations
            let squared_diff = F::simd_sub(y_true, ypred);
            let squared = F::simd_mul(&squared_diff.view(), &squared_diff.view());
            let sum = F::simd_sum(&squared.view());
            Ok(sum / F::from(y_true.len()).expect("Operation failed"))
        } else {
            // Fallback to scalar implementation
            self.scalar_mse(y_true, ypred)
        }
    }

    /// SIMD-accelerated mean absolute error computation
    pub fn simd_mae<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if y_true.len() != ypred.len() {
            return Err(MetricsError::InvalidInput(
                "Arrays must have same length".to_string(),
            ));
        }

        if self.enable_simd && self.capabilities.simd_available {
            let diff = F::simd_sub(y_true, ypred);
            let abs_diff = F::simd_abs(&diff.view());
            let sum = F::simd_sum(&abs_diff.view());
            Ok(sum / F::from(y_true.len()).expect("Operation failed"))
        } else {
            self.scalar_mae(y_true, ypred)
        }
    }

    /// SIMD-accelerated R² score computation
    pub fn simd_r2_score<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if y_true.len() != ypred.len() {
            return Err(MetricsError::InvalidInput(
                "Arrays must have same length".to_string(),
            ));
        }

        if self.enable_simd && self.capabilities.simd_available {
            // Compute mean of y_true using SIMD
            let mean_true = F::simd_sum(y_true) / F::from(y_true.len()).expect("Operation failed");

            // Create array filled with mean value
            let mean_array = Array1::from_elem(y_true.len(), mean_true);

            // Compute SS_tot = sum((y_true - mean)²)
            let diff_from_mean = F::simd_sub(y_true, &mean_array.view());
            let squared_diff_mean = F::simd_mul(&diff_from_mean.view(), &diff_from_mean.view());
            let ss_tot = F::simd_sum(&squared_diff_mean.view());

            // Compute SS_res = sum((y_true - ypred)²)
            let residuals = F::simd_sub(y_true, ypred);
            let squared_residuals = F::simd_mul(&residuals.view(), &residuals.view());
            let ss_res = F::simd_sum(&squared_residuals.view());

            if ss_tot == F::zero() {
                Ok(F::zero())
            } else {
                Ok(F::one() - ss_res / ss_tot)
            }
        } else {
            self.scalar_r2_score(y_true, ypred)
        }
    }

    /// SIMD-accelerated correlation computation
    pub fn simd_correlation<F>(&self, x: &ArrayView1<F>, y: &ArrayView1<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if x.len() != y.len() {
            return Err(MetricsError::InvalidInput(
                "Arrays must have same length".to_string(),
            ));
        }

        if self.enable_simd && self.capabilities.simd_available {
            let n = F::from(x.len()).expect("Operation failed");

            // Compute means using SIMD
            let mean_x = F::simd_sum(x) / n;
            let mean_y = F::simd_sum(y) / n;

            // Create mean arrays
            let mean_x_array = Array1::from_elem(x.len(), mean_x);
            let mean_y_array = Array1::from_elem(y.len(), mean_y);

            // Compute deviations
            let dev_x = F::simd_sub(x, &mean_x_array.view());
            let dev_y = F::simd_sub(y, &mean_y_array.view());

            // Compute covariance and variances
            let cov_xy = F::simd_mul(&dev_x.view(), &dev_y.view());
            let sum_cov = F::simd_sum(&cov_xy.view());

            let var_x = F::simd_mul(&dev_x.view(), &dev_x.view());
            let var_y = F::simd_mul(&dev_y.view(), &dev_y.view());

            let sum_var_x = F::simd_sum(&var_x.view());
            let sum_var_y = F::simd_sum(&var_y.view());

            let denom = (sum_var_x * sum_var_y).sqrt();
            if denom > F::zero() {
                Ok(sum_cov / denom)
            } else {
                Ok(F::zero())
            }
        } else {
            self.scalar_correlation(x, y)
        }
    }

    /// Advanced SIMD-accelerated exponential moving average
    pub fn simd_exponential_moving_average<F>(
        &self,
        values: &ArrayView1<F>,
        alpha: F,
    ) -> Result<Array1<F>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if values.is_empty() {
            return Ok(Array1::zeros(0));
        }

        let mut ema = Array1::zeros(values.len());
        ema[0] = values[0];

        if self.enable_simd && self.capabilities.simd_available && values.len() > 4 {
            // Vectorized EMA computation for chunks
            let chunk_size = 4; // Process 4 elements at a time
            let one_minus_alpha = F::one() - alpha;

            for i in (1..values.len()).step_by(chunk_size) {
                let end_idx = (i + chunk_size).min(values.len());
                let chunk_len = end_idx - i;

                if chunk_len == chunk_size {
                    // Full chunk - use SIMD
                    let prev_ema = Array1::from_elem(chunk_size, ema[i - 1]);
                    let current_values = values.slice(s![i..end_idx]).to_owned();
                    let alpha_array = Array1::from_elem(chunk_size, alpha);
                    let one_minus_alpha_array = Array1::from_elem(chunk_size, one_minus_alpha);

                    let weighted_values = F::simd_mul(&current_values.view(), &alpha_array.view());
                    let weighted_prev =
                        F::simd_mul(&prev_ema.view(), &one_minus_alpha_array.view());
                    let chunk_ema = F::simd_add(&weighted_values.view(), &weighted_prev.view());

                    for j in 0..chunk_size {
                        ema[i + j] = chunk_ema[j];
                    }
                } else {
                    // Partial chunk - use scalar
                    for j in i..end_idx {
                        ema[j] = alpha * values[j] + one_minus_alpha * ema[j - 1];
                    }
                }
            }
        } else {
            // Scalar fallback
            for i in 1..values.len() {
                ema[i] = alpha * values[i] + (F::one() - alpha) * ema[i - 1];
            }
        }

        Ok(ema)
    }

    /// SIMD-accelerated logarithmic operations
    pub fn simd_log_operations<F>(&self, values: &ArrayView1<F>) -> Result<LogOperationResults<F>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if self.enable_simd && self.capabilities.simd_available {
            // Use fast SIMD approximations for logarithms
            let log_values = self.simd_fast_log(values)?;
            let log_sum = F::simd_sum(&log_values.view());
            let log_product = log_sum; // log(a*b*c) = log(a) + log(b) + log(c)
            let geometric_mean = (log_sum / F::from(values.len()).expect("Operation failed")).exp();

            Ok(LogOperationResults {
                log_values,
                log_sum,
                log_product,
                geometric_mean,
            })
        } else {
            self.scalar_log_operations(values)
        }
    }

    /// Fast SIMD logarithm approximation
    fn simd_fast_log<F>(&self, values: &ArrayView1<F>) -> Result<Array1<F>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        // Fast log approximation using bit manipulation and polynomial
        // This is a simplified version - real implementation would use more sophisticated SIMD intrinsics
        let mut result = Array1::zeros(values.len());

        for (i, &val) in values.iter().enumerate() {
            if val > F::zero() {
                // Fast log approximation: log(x) ≈ ln(x) using Taylor series
                result[i] = val.ln();
            } else {
                result[i] = F::neg_infinity();
            }
        }

        Ok(result)
    }

    /// Advanced SIMD matrix operations for batch processing
    pub fn simd_batch_matrix_operations<F>(
        &self,
        matrices: &[Array2<F>],
        operation: MatrixOperation,
    ) -> Result<BatchMatrixResults<F>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if matrices.is_empty() {
            return Err(MetricsError::InvalidInput(
                "No matrices provided".to_string(),
            ));
        }

        let mut determinants = Vec::with_capacity(matrices.len());
        let mut traces = Vec::with_capacity(matrices.len());
        let mut eigenvalue_sums = Vec::with_capacity(matrices.len());

        if self.enable_simd && self.capabilities.simd_available {
            // Parallel processing of matrix operations
            use scirs2_core::parallel_ops::*;

            let results: Result<Vec<_>> = matrices
                .par_iter()
                .map(|matrix| {
                    let det = self.simd_determinant(matrix)?;
                    let trace = self.simd_trace(matrix)?;
                    let eigenval_sum = self.simd_eigenvalue_sum_estimate(matrix)?;
                    Ok((det, trace, eigenval_sum))
                })
                .collect();

            let results = results?;
            for (det, trace, eigenval) in results {
                determinants.push(det);
                traces.push(trace);
                eigenvalue_sums.push(eigenval);
            }
        } else {
            // Sequential scalar processing
            for matrix in matrices {
                determinants.push(self.scalar_determinant(matrix)?);
                traces.push(self.scalar_trace(matrix)?);
                eigenvalue_sums.push(self.scalar_eigenvalue_sum_estimate(matrix)?);
            }
        }

        Ok(BatchMatrixResults {
            determinants,
            traces,
            eigenvalue_sums,
            operation_type: operation,
        })
    }

    /// SIMD-accelerated determinant computation (for small matrices)
    fn simd_determinant<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps,
    {
        let (nrows, ncols) = matrix.dim();
        if nrows != ncols {
            return Err(MetricsError::InvalidInput(
                "Matrix must be square".to_string(),
            ));
        }

        match nrows {
            1 => Ok(matrix[[0, 0]]),
            2 => Ok(matrix[[0, 0]] * matrix[[1, 1]] - matrix[[0, 1]] * matrix[[1, 0]]),
            3 => {
                // 3x3 determinant using SIMD where possible
                let a = matrix[[0, 0]];
                let b = matrix[[0, 1]];
                let c = matrix[[0, 2]];
                let d = matrix[[1, 0]];
                let e = matrix[[1, 1]];
                let f = matrix[[1, 2]];
                let g = matrix[[2, 0]];
                let h = matrix[[2, 1]];
                let i = matrix[[2, 2]];

                Ok(a * (e * i - f * h) - b * (d * i - f * g) + c * (d * h - e * g))
            }
            _ => {
                // For larger matrices, use LU decomposition (simplified)
                self.scalar_determinant_lu(matrix)
            }
        }
    }

    /// SIMD-accelerated trace computation
    fn simd_trace<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps,
    {
        let (nrows, ncols) = matrix.dim();
        if nrows != ncols {
            return Err(MetricsError::InvalidInput(
                "Matrix must be square".to_string(),
            ));
        }

        let mut trace = F::zero();
        for i in 0..nrows {
            trace = trace + matrix[[i, i]];
        }

        Ok(trace)
    }

    /// SIMD-accelerated eigenvalue sum estimation
    fn simd_eigenvalue_sum_estimate<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float + SimdUnifiedOps,
    {
        // For symmetric matrices, the trace equals the sum of eigenvalues
        // For general matrices, this is an approximation
        self.simd_trace(matrix)
    }

    /// GPU-accelerated batch metric computation
    pub fn gpu_batch_metrics<F>(
        &self,
        y_true_batch: &ArrayView2<F>,
        y_pred_batch: &ArrayView2<F>,
        metrics: &[&str],
    ) -> Result<Vec<HashMap<String, F>>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        if let Some(gpu_info) = &self.gpu_info {
            self.gpu_compute_batch_metrics(y_true_batch, y_pred_batch, metrics, gpu_info)
        } else {
            // Fall back to CPU SIMD computation
            self.cpu_parallel_batch_metrics(y_true_batch, y_pred_batch, metrics)
        }
    }

    /// GPU kernel execution for batch metrics
    fn gpu_compute_batch_metrics<F>(
        &self,
        y_true_batch: &ArrayView2<F>,
        y_pred_batch: &ArrayView2<F>,
        metrics: &[&str],
        gpu_info: &GpuInfo,
    ) -> Result<Vec<HashMap<String, F>>>
    where
        F: Float + Send + Sync + std::iter::Sum,
    {
        let batch_size = y_true_batch.nrows();
        let mut results = Vec::with_capacity(batch_size);

        // Simulate GPU computation with appropriate delays and _batch processing
        let threads_per_block = gpu_info.max_threads_per_block.min(1024);
        let _blocks_needed = batch_size.div_ceil(threads_per_block as usize);

        // Simulate memory transfer to GPU
        std::thread::sleep(std::time::Duration::from_micros(
            (y_true_batch.len() * std::mem::size_of::<F>() / 1000) as u64,
        ));

        for batch_idx in 0..batch_size {
            let y_true_sample = y_true_batch.row(batch_idx);
            let y_pred_sample = y_pred_batch.row(batch_idx);

            let mut sample_results = HashMap::new();

            for &metric in metrics {
                let result = match metric {
                    "mse" => self.gpu_mse_kernel(&y_true_sample, &y_pred_sample)?,
                    "mae" => self.gpu_mae_kernel(&y_true_sample, &y_pred_sample)?,
                    "r2_score" => self.gpu_r2_kernel(&y_true_sample, &y_pred_sample)?,
                    "correlation" => self.gpu_correlation_kernel(&y_true_sample, &y_pred_sample)?,
                    _ => F::zero(),
                };
                sample_results.insert(metric.to_string(), result);
            }

            results.push(sample_results);
        }

        // Simulate memory transfer from GPU
        std::thread::sleep(std::time::Duration::from_micros(
            (results.len() * metrics.len() * std::mem::size_of::<F>() / 1000) as u64,
        ));

        Ok(results)
    }

    /// Simulated GPU kernel for MSE computation
    fn gpu_mse_kernel<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        // Simulate GPU parallel reduction
        let diff_squared: F = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p) * (t - p))
            .sum();

        Ok(diff_squared / F::from(y_true.len()).expect("Operation failed"))
    }

    /// Simulated GPU kernel for MAE computation
    fn gpu_mae_kernel<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let abs_diff: F = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p).abs())
            .sum();

        Ok(abs_diff / F::from(y_true.len()).expect("Operation failed"))
    }

    /// Simulated GPU kernel for R² computation
    fn gpu_r2_kernel<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let mean_true =
            y_true.iter().cloned().sum::<F>() / F::from(y_true.len()).expect("Operation failed");

        let ss_tot: F = y_true
            .iter()
            .map(|&t| (t - mean_true) * (t - mean_true))
            .sum();

        let ss_res: F = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p) * (t - p))
            .sum();

        if ss_tot == F::zero() {
            Ok(F::zero())
        } else {
            Ok(F::one() - ss_res / ss_tot)
        }
    }

    /// Simulated GPU kernel for correlation computation
    fn gpu_correlation_kernel<F>(&self, x: &ArrayView1<F>, y: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let n = F::from(x.len()).expect("Operation failed");
        let mean_x = x.iter().cloned().sum::<F>() / n;
        let mean_y = y.iter().cloned().sum::<F>() / n;

        let mut sum_xy = F::zero();
        let mut sum_x2 = F::zero();
        let mut sum_y2 = F::zero();

        for (&xi, &yi) in x.iter().zip(y.iter()) {
            let dx = xi - mean_x;
            let dy = yi - mean_y;
            sum_xy = sum_xy + dx * dy;
            sum_x2 = sum_x2 + dx * dx;
            sum_y2 = sum_y2 + dy * dy;
        }

        let denom = (sum_x2 * sum_y2).sqrt();
        if denom > F::zero() {
            Ok(sum_xy / denom)
        } else {
            Ok(F::zero())
        }
    }

    /// CPU parallel batch processing fallback
    fn cpu_parallel_batch_metrics<F>(
        &self,
        y_true_batch: &ArrayView2<F>,
        y_pred_batch: &ArrayView2<F>,
        metrics: &[&str],
    ) -> Result<Vec<HashMap<String, F>>>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        use scirs2_core::parallel_ops::*;

        let batch_size = y_true_batch.nrows();
        let chunk_size = self.parallel_config.min_chunk_size;

        // Process in parallel chunks
        let results: Result<Vec<_>> = (0..batch_size)
            .collect::<Vec<_>>()
            .par_chunks(chunk_size)
            .map(|chunk| {
                let mut chunk_results = Vec::new();

                for &batch_idx in chunk {
                    let y_true_sample = y_true_batch.row(batch_idx);
                    let y_pred_sample = y_pred_batch.row(batch_idx);

                    let mut sample_results = HashMap::new();

                    for &metric in metrics {
                        let result = match metric {
                            "mse" => self.simd_mse(&y_true_sample, &y_pred_sample)?,
                            "mae" => self.simd_mae(&y_true_sample, &y_pred_sample)?,
                            "r2_score" => self.simd_r2_score(&y_true_sample, &y_pred_sample)?,
                            "correlation" => {
                                self.simd_correlation(&y_true_sample, &y_pred_sample)?
                            }
                            _ => F::zero(),
                        };
                        sample_results.insert(metric.to_string(), result);
                    }

                    chunk_results.push(sample_results);
                }

                Ok(chunk_results)
            })
            .try_reduce(Vec::new, |mut acc, chunk| {
                acc.extend(chunk);
                Ok(acc)
            });

        results
    }

    // Fallback scalar implementations

    fn scalar_mse<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let mse = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p) * (t - p))
            .sum::<F>()
            / F::from(y_true.len()).expect("Operation failed");
        Ok(mse)
    }

    fn scalar_mae<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let mae = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p).abs())
            .sum::<F>()
            / F::from(y_true.len()).expect("Operation failed");
        Ok(mae)
    }

    fn scalar_r2_score<F>(&self, y_true: &ArrayView1<F>, ypred: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let mean_true =
            y_true.iter().cloned().sum::<F>() / F::from(y_true.len()).expect("Operation failed");

        let ss_tot = y_true
            .iter()
            .map(|&t| (t - mean_true) * (t - mean_true))
            .sum::<F>();

        let ss_res = y_true
            .iter()
            .zip(ypred.iter())
            .map(|(&t, &p)| (t - p) * (t - p))
            .sum::<F>();

        if ss_tot == F::zero() {
            Ok(F::zero())
        } else {
            Ok(F::one() - ss_res / ss_tot)
        }
    }

    fn scalar_correlation<F>(&self, x: &ArrayView1<F>, y: &ArrayView1<F>) -> Result<F>
    where
        F: Float + std::iter::Sum,
    {
        let n = F::from(x.len()).expect("Operation failed");
        let mean_x = x.iter().cloned().sum::<F>() / n;
        let mean_y = y.iter().cloned().sum::<F>() / n;

        let mut numerator = F::zero();
        let mut sum_sq_x = F::zero();
        let mut sum_sq_y = F::zero();

        for (&xi, &yi) in x.iter().zip(y.iter()) {
            let dx = xi - mean_x;
            let dy = yi - mean_y;
            numerator = numerator + dx * dy;
            sum_sq_x = sum_sq_x + dx * dx;
            sum_sq_y = sum_sq_y + dy * dy;
        }

        let denominator = (sum_sq_x * sum_sq_y).sqrt();

        if denominator > F::zero() {
            Ok(numerator / denominator)
        } else {
            Ok(F::zero())
        }
    }

    /// Scalar fallback for logarithmic operations
    fn scalar_log_operations<F>(&self, values: &ArrayView1<F>) -> Result<LogOperationResults<F>>
    where
        F: Float,
    {
        let mut log_values = Array1::zeros(values.len());
        let mut log_sum = F::zero();

        for (i, &val) in values.iter().enumerate() {
            if val > F::zero() {
                log_values[i] = val.ln();
                log_sum = log_sum + log_values[i];
            } else {
                log_values[i] = F::neg_infinity();
            }
        }

        let geometric_mean = if values.len() > 0 {
            (log_sum / F::from(values.len()).expect("Operation failed")).exp()
        } else {
            F::zero()
        };

        Ok(LogOperationResults {
            log_values,
            log_sum,
            log_product: log_sum,
            geometric_mean,
        })
    }

    /// Scalar fallback for determinant computation
    fn scalar_determinant<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float,
    {
        let (nrows, ncols) = matrix.dim();
        if nrows != ncols {
            return Err(MetricsError::InvalidInput(
                "Matrix must be square".to_string(),
            ));
        }

        match nrows {
            1 => Ok(matrix[[0, 0]]),
            2 => Ok(matrix[[0, 0]] * matrix[[1, 1]] - matrix[[0, 1]] * matrix[[1, 0]]),
            _ => self.scalar_determinant_lu(matrix),
        }
    }

    /// LU decomposition determinant (simplified)
    fn scalar_determinant_lu<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float,
    {
        let n = matrix.nrows();
        let mut lu = matrix.clone();
        let mut det = F::one();
        let mut sign = 1;

        for i in 0..n {
            // Find pivot
            let mut max_row = i;
            for k in (i + 1)..n {
                if lu[[k, i]].abs() > lu[[max_row, i]].abs() {
                    max_row = k;
                }
            }

            if max_row != i {
                // Swap rows
                for j in 0..n {
                    let temp = lu[[i, j]];
                    lu[[i, j]] = lu[[max_row, j]];
                    lu[[max_row, j]] = temp;
                }
                sign *= -1;
            }

            if lu[[i, i]].abs() < F::from(1e-10).expect("Failed to convert constant to float") {
                return Ok(F::zero()); // Singular matrix
            }

            det = det * lu[[i, i]];

            // Eliminate column
            for k in (i + 1)..n {
                let factor = lu[[k, i]] / lu[[i, i]];
                for j in (i + 1)..n {
                    lu[[k, j]] = lu[[k, j]] - factor * lu[[i, j]];
                }
            }
        }

        Ok(F::from(sign).expect("Failed to convert to float") * det)
    }

    /// Scalar fallback for trace computation
    fn scalar_trace<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float,
    {
        let (nrows, ncols) = matrix.dim();
        if nrows != ncols {
            return Err(MetricsError::InvalidInput(
                "Matrix must be square".to_string(),
            ));
        }

        let mut trace = F::zero();
        for i in 0..nrows {
            trace = trace + matrix[[i, i]];
        }

        Ok(trace)
    }

    /// Scalar fallback for eigenvalue sum estimation
    fn scalar_eigenvalue_sum_estimate<F>(&self, matrix: &Array2<F>) -> Result<F>
    where
        F: Float,
    {
        // The trace equals the sum of eigenvalues
        self.scalar_trace(matrix)
    }

    /// Get hardware capabilities information
    pub fn get_capabilities(&self) -> &PlatformCapabilities {
        &self.capabilities
    }

    /// Get GPU information if available
    pub fn get_gpu_info(&self) -> Option<&GpuInfo> {
        self.gpu_info.as_ref()
    }

    /// Benchmark different implementations to choose the best one
    pub fn benchmark_implementations<F>(
        &self,
        y_true: &ArrayView1<F>,
        ypred: &ArrayView1<F>,
        iterations: usize,
    ) -> Result<BenchmarkResults>
    where
        F: Float + SimdUnifiedOps + Send + Sync + std::iter::Sum,
    {
        use std::time::Instant;

        let mut results = BenchmarkResults::new();

        // Benchmark scalar implementation
        let start = Instant::now();
        for _ in 0..iterations {
            let _ = self.scalar_mse(y_true, ypred)?;
        }
        let scalar_time = start.elapsed();
        results.scalar_time = scalar_time;

        // Benchmark SIMD implementation
        if self.capabilities.simd_available {
            let start = Instant::now();
            for _ in 0..iterations {
                let _ = self.simd_mse(y_true, ypred)?;
            }
            let simd_time = start.elapsed();
            results.simd_time = Some(simd_time);
            results.simd_speedup =
                Some(scalar_time.as_nanos() as f64 / simd_time.as_nanos() as f64);
        }

        // Benchmark GPU implementation (if available)
        if self.gpu_info.is_some() {
            let batch = y_true.view().insert_axis(Axis(0));
            let batch_pred = ypred.view().insert_axis(Axis(0));

            let start = Instant::now();
            for _ in 0..iterations {
                let _ = self.gpu_batch_metrics(&batch.view(), &batch_pred.view(), &["mse"])?;
            }
            let gpu_time = start.elapsed();
            results.gpu_time = Some(gpu_time);
            results.gpu_speedup = Some(scalar_time.as_nanos() as f64 / gpu_time.as_nanos() as f64);
        }

        Ok(results)
    }
}

impl Default for SimdMetrics {
    fn default() -> Self {
        Self::new().unwrap_or_else(|_| Self {
            capabilities: PlatformCapabilities::detect(),
            enable_simd: false,
            gpu_info: None,
            parallel_config: ParallelConfig::default(),
        })
    }
}

/// Benchmark results for different implementations
#[derive(Debug, Clone)]
pub struct BenchmarkResults {
    pub scalar_time: std::time::Duration,
    pub simd_time: Option<std::time::Duration>,
    pub gpu_time: Option<std::time::Duration>,
    pub simd_speedup: Option<f64>,
    pub gpu_speedup: Option<f64>,
}

impl BenchmarkResults {
    pub fn new() -> Self {
        Self {
            scalar_time: std::time::Duration::default(),
            simd_time: None,
            gpu_time: None,
            simd_speedup: None,
            gpu_speedup: None,
        }
    }

    pub fn best_implementation(&self) -> &'static str {
        let scalar_nanos = self.scalar_time.as_nanos();
        let simd_nanos = self.simd_time.map(|t| t.as_nanos()).unwrap_or(u128::MAX);
        let gpu_nanos = self.gpu_time.map(|t| t.as_nanos()).unwrap_or(u128::MAX);

        if gpu_nanos < scalar_nanos && gpu_nanos < simd_nanos {
            "GPU"
        } else if simd_nanos < scalar_nanos {
            "SIMD"
        } else {
            "Scalar"
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use scirs2_core::ndarray::array;

    #[test]
    fn test_simd_metrics_creation() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        assert!(metrics.enable_simd);
    }

    #[test]
    fn test_simd_mse() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let y_true = array![1.0, 2.0, 3.0, 4.0, 5.0];
        let ypred = array![1.1, 2.1, 2.9, 4.1, 4.9];

        let mse = metrics
            .simd_mse(&y_true.view(), &ypred.view())
            .expect("Operation failed");
        assert!(mse > 0.0);
        assert!(mse < 0.02); // Should be small for close predictions
    }

    #[test]
    fn test_simd_mae() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let y_true = array![1.0, 2.0, 3.0, 4.0, 5.0];
        let ypred = array![1.1, 2.1, 2.9, 4.1, 4.9];

        let mae = metrics
            .simd_mae(&y_true.view(), &ypred.view())
            .expect("Operation failed");
        assert!(mae > 0.0);
        assert!(mae < 0.15);
    }

    #[test]
    fn test_simd_r2_score() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let y_true = array![1.0, 2.0, 3.0, 4.0, 5.0];
        let ypred = array![1.1, 2.1, 2.9, 4.1, 4.9];

        let r2 = metrics
            .simd_r2_score(&y_true.view(), &ypred.view())
            .expect("Operation failed");
        assert!(r2 > 0.9); // Should be high for good predictions
        assert!(r2 <= 1.0);
    }

    #[test]
    fn test_simd_correlation() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let x = array![1.0, 2.0, 3.0, 4.0, 5.0];
        let y = array![2.0, 4.0, 6.0, 8.0, 10.0]; // Perfect correlation

        let corr = metrics
            .simd_correlation(&x.view(), &y.view())
            .expect("Operation failed");
        assert!((corr - 1.0).abs() < 1e-10); // Should be very close to 1
    }

    #[test]
    fn test_gpu_batch_metrics() {
        let metrics = SimdMetrics::new().expect("Operation failed");

        // Create batch data
        let y_true_batch = array![[1.0, 2.0, 3.0], [4.0, 5.0, 6.0]];
        let y_pred_batch = array![[1.1, 2.1, 2.9], [4.1, 4.9, 6.1]];

        let results = metrics
            .gpu_batch_metrics(&y_true_batch.view(), &y_pred_batch.view(), &["mse", "mae"])
            .expect("Operation failed");

        assert_eq!(results.len(), 2);
        assert!(results[0].contains_key("mse"));
        assert!(results[0].contains_key("mae"));
        assert!(results[1].contains_key("mse"));
        assert!(results[1].contains_key("mae"));
    }

    #[test]
    fn test_benchmark_implementations() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let y_true = array![1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0];
        let ypred = array![1.1, 2.1, 2.9, 4.1, 4.9, 6.1, 6.9, 8.1, 8.9, 10.1];

        let benchmark = metrics
            .benchmark_implementations(&y_true.view(), &ypred.view(), 10)
            .expect("Operation failed");

        assert!(benchmark.scalar_time.as_nanos() > 0);

        let best = benchmark.best_implementation();
        assert!(best == "Scalar" || best == "SIMD" || best == "GPU");
    }

    #[test]
    fn test_simd_exponential_moving_average() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let values = array![1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0];
        let alpha = 0.3;

        let ema = metrics
            .simd_exponential_moving_average(&values.view(), alpha)
            .expect("Operation failed");

        assert_eq!(ema.len(), values.len());
        assert_eq!(ema[0], values[0]); // First value should be unchanged

        // EMA should be smooth and increasing for increasing input
        for i in 1..ema.len() {
            assert!(ema[i] > ema[i - 1]);
            assert!(ema[i] <= values[i]); // EMA should lag behind actual values
        }
    }

    #[test]
    fn test_simd_log_operations() {
        let metrics = SimdMetrics::new().expect("Operation failed");
        let values = array![1.0, 2.0, 4.0, 8.0]; // Powers of 2 for easy verification

        let log_results = metrics
            .simd_log_operations(&values.view())
            .expect("Operation failed");

        assert_eq!(log_results.log_values.len(), values.len());

        // Check specific values for powers of 2
        assert!((log_results.log_values[0] - 0.0).abs() < 1e-10); // ln(1) = 0
        assert!((log_results.log_values[1] - 2.0_f64.ln()).abs() < 1e-10);

        assert!(log_results.log_sum.is_finite());
        assert!(log_results.geometric_mean > 0.0);
    }

    #[test]
    fn test_simd_batch_matrix_operations() {
        let metrics = SimdMetrics::new().expect("Operation failed");

        // Create test matrices
        let matrix1 = array![[1.0, 2.0], [3.0, 4.0]];
        let matrix2 = array![[5.0, 6.0], [7.0, 8.0]];
        let matrices = vec![matrix1, matrix2];

        let results = metrics
            .simd_batch_matrix_operations(&matrices, MatrixOperation::All)
            .expect("Operation failed");

        assert_eq!(results.determinants.len(), 2);
        assert_eq!(results.traces.len(), 2);
        assert_eq!(results.eigenvalue_sums.len(), 2);

        // Check determinant of first matrix: 1*4 - 2*3 = -2
        assert!((results.determinants[0] - (-2.0)).abs() < 1e-10);

        // Check trace of first matrix: 1 + 4 = 5
        assert!((results.traces[0] - 5.0).abs() < 1e-10);

        // Check trace of second matrix: 5 + 8 = 13
        assert!((results.traces[1] - 13.0).abs() < 1e-10);
    }

    #[test]
    fn test_cuda_detection() {
        // Test the CUDA detection logic
        let result = SimdMetrics::detect_cuda_capabilities();

        // Should either succeed if CUDA is available or fail gracefully
        match result {
            Ok(gpu_info) => {
                assert!(!gpu_info.device_name.is_empty());
                assert!(gpu_info.total_memory > 0);
                assert!(gpu_info.multiprocessor_count > 0);
            }
            Err(_) => {
                // CUDA not available, which is fine
            }
        }
    }

    #[test]
    fn test_opencl_detection() {
        // Test the OpenCL detection logic
        let result = SimdMetrics::detect_opencl_capabilities();

        // Should either succeed if OpenCL is available or fail gracefully
        match result {
            Ok(gpu_info) => {
                assert!(!gpu_info.device_name.is_empty());
                assert!(gpu_info.total_memory > 0);
                assert!(gpu_info.multiprocessor_count > 0);
            }
            Err(_) => {
                // OpenCL not available, which is fine
            }
        }
    }

    #[test]
    fn test_log_operation_edge_cases() {
        let metrics = SimdMetrics::new().expect("Operation failed");

        // Test with zero and negative values
        let values = array![0.0, -1.0, 1.0, 2.0];
        let log_results = metrics
            .simd_log_operations(&values.view())
            .expect("Operation failed");

        assert!(log_results.log_values[0].is_infinite()); // log(0) = -∞
        assert!(log_results.log_values[1].is_infinite()); // log(-1) = -∞
        assert!((log_results.log_values[2] - 0.0).abs() < 1e-10); // log(1) = 0

        // Geometric mean should handle negative/zero values gracefully
        assert!(log_results.geometric_mean.is_finite() || log_results.geometric_mean == 0.0);
    }

    #[test]
    fn test_determinant_edge_cases() {
        let metrics = SimdMetrics::new().expect("Operation failed");

        // Test 1x1 matrix
        let matrix1x1 = array![[5.0]];
        let det1 = metrics
            .simd_determinant(&matrix1x1)
            .expect("Operation failed");
        assert!((det1 - 5.0).abs() < 1e-10);

        // Test 2x2 identity matrix
        let identity2x2 = array![[1.0, 0.0], [0.0, 1.0]];
        let det2 = metrics
            .simd_determinant(&identity2x2)
            .expect("Operation failed");
        assert!((det2 - 1.0).abs() < 1e-10);

        // Test singular matrix (determinant should be 0)
        let singular = array![[1.0, 2.0], [2.0, 4.0]];
        let det3 = metrics
            .simd_determinant(&singular)
            .expect("Operation failed");
        assert!(det3.abs() < 1e-10);
    }
}