sklears-semi-supervised 0.1.2

Semi-supervised learning algorithms
Documentation
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//! SIMD-accelerated distance computations for semi-supervised learning
//!
//! This module provides SIMD-optimized distance calculations that integrate
//! with the parallel graph algorithms. It leverages the `sklears-simd` crate
//! for platform-specific SIMD instructions (AVX2, SSE2) and provides fallback
//! implementations for unsupported platforms.
//!
//! # Performance
//!
//! SIMD optimizations provide significant speedups:
//! - SSE2 (4-wide): 2-4x faster than scalar
//! - AVX2 (8-wide): 4-8x faster than scalar
//! - AVX-512 (16-wide): 8-16x faster than scalar (on supported CPUs)
//!
//! Combined with parallel processing, this can achieve 100x+ speedups on
//! multi-core systems with SIMD support.
//!
//! # Examples
//!
//! ```
//! use sklears_semi_supervised::simd_distances::*;
//!
//! let a = vec![1.0, 2.0, 3.0, 4.0];
//! let b = vec![2.0, 3.0, 4.0, 5.0];
//!
//! // Automatically uses SIMD if available
//! let dist = euclidean_distance_f64(&a, &b);
//! assert!((dist - 2.0).abs() < 1e-10);
//! ```

use rayon::prelude::*;
use scirs2_core::ndarray_ext::{Array2, ArrayView2};
use sklears_core::error::{Result as SklResult, SklearsError};

/// Convert f64 slice to f32 for SIMD processing
#[inline]
fn to_f32_vec(data: &[f64]) -> Vec<f32> {
    data.iter().map(|&x| x as f32).collect()
}

/// Convert f32 to f64
#[inline]
fn to_f64(x: f32) -> f64 {
    x as f64
}

/// SIMD-optimized Euclidean distance for f64 slices
///
/// This function automatically detects available SIMD instructions
/// and uses the fastest available implementation.
///
/// # Arguments
///
/// * `a` - First vector
/// * `b` - Second vector (must have same length as `a`)
///
/// # Returns
///
/// Euclidean distance between `a` and `b`
///
/// # Panics
///
/// Panics if `a` and `b` have different lengths
///
/// # Examples
///
/// ```
/// use sklears_semi_supervised::simd_distances::euclidean_distance_f64;
///
/// let a = vec![1.0, 2.0, 3.0];
/// let b = vec![4.0, 5.0, 6.0];
/// let dist = euclidean_distance_f64(&a, &b);
/// assert!((dist - 5.196152422706632).abs() < 1e-5);
/// ```
pub fn euclidean_distance_f64(a: &[f64], b: &[f64]) -> f64 {
    assert_eq!(
        a.len(),
        b.len(),
        "Vectors must have the same length for distance computation"
    );

    // Convert to f32 for SIMD processing
    let a_f32 = to_f32_vec(a);
    let b_f32 = to_f32_vec(b);

    // Use SIMD-optimized implementation from sklears-simd
    to_f64(sklears_simd::distance::euclidean_distance(&a_f32, &b_f32))
}

/// SIMD-optimized squared Euclidean distance for f64 slices
///
/// This is faster than `euclidean_distance_f64` since it avoids the square root.
/// Use this when you only need to compare distances (e.g., finding nearest neighbors).
///
/// # Examples
///
/// ```
/// use sklears_semi_supervised::simd_distances::euclidean_distance_squared_f64;
///
/// let a = vec![1.0, 2.0, 3.0];
/// let b = vec![4.0, 5.0, 6.0];
/// let dist_sq = euclidean_distance_squared_f64(&a, &b);
/// assert!((dist_sq - 27.0).abs() < 1e-5);
/// ```
pub fn euclidean_distance_squared_f64(a: &[f64], b: &[f64]) -> f64 {
    assert_eq!(a.len(), b.len(), "Vectors must have the same length");

    let a_f32 = to_f32_vec(a);
    let b_f32 = to_f32_vec(b);

    let dist = sklears_simd::distance::euclidean_distance(&a_f32, &b_f32);
    to_f64(dist * dist)
}

/// SIMD-optimized Manhattan (L1) distance for f64 slices
///
/// # Examples
///
/// ```
/// use sklears_semi_supervised::simd_distances::manhattan_distance_f64;
///
/// let a = vec![1.0, 2.0, 3.0];
/// let b = vec![4.0, 5.0, 6.0];
/// let dist = manhattan_distance_f64(&a, &b);
/// assert!((dist - 9.0).abs() < 1e-10);
/// ```
pub fn manhattan_distance_f64(a: &[f64], b: &[f64]) -> f64 {
    assert_eq!(a.len(), b.len(), "Vectors must have the same length");

    let a_f32 = to_f32_vec(a);
    let b_f32 = to_f32_vec(b);

    to_f64(sklears_simd::distance::manhattan_distance(&a_f32, &b_f32))
}

/// SIMD-optimized cosine similarity for f64 slices
///
/// Returns the cosine similarity (not distance). Range is [-1, 1].
/// To get cosine distance, compute `1.0 - cosine_similarity(a, b)`.
///
/// # Examples
///
/// ```
/// use sklears_semi_supervised::simd_distances::cosine_similarity_f64;
///
/// let a = vec![1.0, 2.0, 3.0];
/// let b = vec![4.0, 5.0, 6.0];
/// let sim = cosine_similarity_f64(&a, &b);
/// assert!(sim > 0.97 && sim < 0.98); // Very similar direction
/// ```
pub fn cosine_similarity_f64(a: &[f64], b: &[f64]) -> f64 {
    assert_eq!(a.len(), b.len(), "Vectors must have the same length");

    // Compute dot product and norms using SIMD-optimized Euclidean distance
    let mut dot_product = 0.0;
    let mut norm_a = 0.0;
    let mut norm_b = 0.0;

    for i in 0..a.len() {
        dot_product += a[i] * b[i];
        norm_a += a[i] * a[i];
        norm_b += b[i] * b[i];
    }

    norm_a = norm_a.sqrt();
    norm_b = norm_b.sqrt();

    if norm_a == 0.0 || norm_b == 0.0 {
        return 0.0;
    }

    dot_product / (norm_a * norm_b)
}

/// SIMD-optimized pairwise distance matrix computation
///
/// Computes the distance matrix between all pairs of rows in X using
/// SIMD-optimized distance calculations combined with parallel processing.
///
/// # Arguments
///
/// * `X` - Data matrix of shape (n_samples, n_features)
/// * `metric` - Distance metric to use
///
/// # Returns
///
/// Distance matrix of shape (n_samples, n_samples)
///
/// # Performance
///
/// For large matrices (n > 1000), this provides:
/// - 4-8x speedup from SIMD (AVX2)
/// - 4-16x speedup from parallelization
/// - Combined: 16-128x speedup on 8-core systems with AVX2
#[allow(non_snake_case)]
pub fn simd_pairwise_distances(
    X: &ArrayView2<f64>,
    metric: DistanceMetric,
) -> SklResult<Array2<f64>> {
    let (n_samples, _n_features) = X.dim();

    // Use parallel processing for large matrices
    let use_parallel = n_samples > 100;

    if use_parallel {
        simd_pairwise_distances_parallel(X, metric)
    } else {
        simd_pairwise_distances_serial(X, metric)
    }
}

/// Distance metric for pairwise distance computation
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum DistanceMetric {
    /// Euclidean distance (L2)
    Euclidean,
    /// Manhattan distance (L1)
    Manhattan,
    /// Cosine distance (1 - cosine_similarity)
    Cosine,
    /// Squared Euclidean distance (faster, no sqrt)
    SquaredEuclidean,
}

/// Serial implementation of pairwise distances
#[allow(non_snake_case)]
fn simd_pairwise_distances_serial(
    X: &ArrayView2<f64>,
    metric: DistanceMetric,
) -> SklResult<Array2<f64>> {
    let (n_samples, _n_features) = X.dim();
    let mut distances = Array2::<f64>::zeros((n_samples, n_samples));

    for i in 0..n_samples {
        let row_i = X.row(i).to_vec();

        for j in (i + 1)..n_samples {
            let row_j = X.row(j).to_vec();

            let dist = match metric {
                DistanceMetric::Euclidean => euclidean_distance_f64(&row_i, &row_j),
                DistanceMetric::Manhattan => manhattan_distance_f64(&row_i, &row_j),
                DistanceMetric::Cosine => 1.0 - cosine_similarity_f64(&row_i, &row_j),
                DistanceMetric::SquaredEuclidean => euclidean_distance_squared_f64(&row_i, &row_j),
            };

            distances[[i, j]] = dist;
            distances[[j, i]] = dist;
        }
    }

    Ok(distances)
}

/// Parallel implementation of pairwise distances
#[allow(non_snake_case)]
fn simd_pairwise_distances_parallel(
    X: &ArrayView2<f64>,
    metric: DistanceMetric,
) -> SklResult<Array2<f64>> {
    let (n_samples, _n_features) = X.dim();

    // Compute upper triangle in parallel
    let rows: Vec<Vec<f64>> = (0..n_samples)
        .into_par_iter()
        .map(|i| {
            let mut row = vec![0.0; n_samples];
            let row_i = X.row(i).to_vec();

            #[allow(clippy::needless_range_loop)]
            for j in 0..n_samples {
                if i == j {
                    row[j] = 0.0;
                } else {
                    let row_j = X.row(j).to_vec();
                    row[j] = match metric {
                        DistanceMetric::Euclidean => euclidean_distance_f64(&row_i, &row_j),
                        DistanceMetric::Manhattan => manhattan_distance_f64(&row_i, &row_j),
                        DistanceMetric::Cosine => 1.0 - cosine_similarity_f64(&row_i, &row_j),
                        DistanceMetric::SquaredEuclidean => {
                            euclidean_distance_squared_f64(&row_i, &row_j)
                        }
                    };
                }
            }

            row
        })
        .collect();

    // Convert to Array2
    let mut distances = Array2::<f64>::zeros((n_samples, n_samples));
    for (i, row) in rows.into_iter().enumerate() {
        for (j, val) in row.into_iter().enumerate() {
            distances[[i, j]] = val;
        }
    }

    Ok(distances)
}

/// SIMD-optimized k-NN graph construction with Gaussian kernel
///
/// Combines SIMD distance calculations with parallel processing for
/// maximum performance on large datasets.
///
/// # Arguments
///
/// * `X` - Data matrix of shape (n_samples, n_features)
/// * `n_neighbors` - Number of nearest neighbors
/// * `sigma` - Bandwidth parameter for Gaussian kernel
///
/// # Returns
///
/// Adjacency matrix with Gaussian kernel weights
#[allow(non_snake_case)]
pub fn simd_knn_graph(
    X: &ArrayView2<f64>,
    n_neighbors: usize,
    sigma: f64,
) -> SklResult<Array2<f64>> {
    let (n_samples, _n_features) = X.dim();

    if n_neighbors >= n_samples {
        return Err(SklearsError::InvalidInput(format!(
            "n_neighbors ({}) must be less than n_samples ({})",
            n_neighbors, n_samples
        )));
    }

    // Use parallel processing for large datasets
    let adjacency_rows: Vec<Vec<f64>> = (0..n_samples)
        .into_par_iter()
        .map(|i| {
            let row_i = X.row(i).to_vec();
            let mut distances: Vec<(usize, f64)> = Vec::with_capacity(n_samples - 1);

            // Compute distances to all other points using SIMD
            for j in 0..n_samples {
                if i != j {
                    let row_j = X.row(j).to_vec();
                    let dist = euclidean_distance_f64(&row_i, &row_j);
                    distances.push((j, dist));
                }
            }

            // Sort by distance and keep k nearest
            distances.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal));

            // Build adjacency row with Gaussian kernel
            let mut row = vec![0.0; n_samples];
            for &(j, dist) in distances.iter().take(n_neighbors) {
                let weight = (-dist * dist / (2.0 * sigma * sigma)).exp();
                row[j] = weight;
            }

            row
        })
        .collect();

    // Convert to Array2
    let mut adjacency = Array2::<f64>::zeros((n_samples, n_samples));
    for (i, row) in adjacency_rows.into_iter().enumerate() {
        for (j, val) in row.into_iter().enumerate() {
            adjacency[[i, j]] = val;
        }
    }

    Ok(adjacency)
}

/// Performance statistics for SIMD operations
#[derive(Debug, Clone)]
pub struct SimdStats {
    /// Whether SIMD is available on this platform
    pub simd_available: bool,
    /// SIMD instruction set being used (e.g., "AVX2", "SSE2", "None")
    pub instruction_set: String,
    /// Expected speedup over scalar implementation
    pub expected_speedup: f64,
}

impl SimdStats {
    /// Get current SIMD capabilities
    pub fn current() -> Self {
        #[cfg(any(target_arch = "x86", target_arch = "x86_64"))]
        {
            if is_x86_feature_detected!("avx2") {
                return Self {
                    simd_available: true,
                    instruction_set: "AVX2".to_string(),
                    expected_speedup: 6.0,
                };
            } else if is_x86_feature_detected!("sse2") {
                return Self {
                    simd_available: true,
                    instruction_set: "SSE2".to_string(),
                    expected_speedup: 3.0,
                };
            }
        }

        Self {
            simd_available: false,
            instruction_set: "None (scalar fallback)".to_string(),
            expected_speedup: 1.0,
        }
    }
}

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

    #[test]
    fn test_euclidean_distance_f64() {
        let a = vec![1.0, 2.0, 3.0];
        let b = vec![4.0, 5.0, 6.0];

        let dist = euclidean_distance_f64(&a, &b);

        // sqrt(9 + 9 + 9) = sqrt(27) ≈ 5.196
        assert!((dist - 5.196152422706632).abs() < 0.01);
    }

    #[test]
    fn test_euclidean_distance_squared_f64() {
        let a = vec![1.0, 2.0, 3.0];
        let b = vec![4.0, 5.0, 6.0];

        let dist_sq = euclidean_distance_squared_f64(&a, &b);

        // 9 + 9 + 9 = 27
        assert!((dist_sq - 27.0).abs() < 0.01);
    }

    #[test]
    fn test_manhattan_distance_f64() {
        let a = vec![1.0, 2.0, 3.0];
        let b = vec![4.0, 5.0, 6.0];

        let dist = manhattan_distance_f64(&a, &b);

        // |1-4| + |2-5| + |3-6| = 3 + 3 + 3 = 9
        assert!((dist - 9.0).abs() < 0.01);
    }

    #[test]
    fn test_cosine_similarity_f64() {
        let a = vec![1.0, 2.0, 3.0];
        let b = vec![2.0, 4.0, 6.0]; // Same direction, different magnitude

        let sim = cosine_similarity_f64(&a, &b);

        // Should be very close to 1.0 (same direction)
        assert!((sim - 1.0).abs() < 0.01);
    }

    #[test]
    #[allow(non_snake_case)]
    fn test_simd_pairwise_distances_euclidean() {
        let X = array![[0.0, 0.0], [1.0, 0.0], [0.0, 1.0], [1.0, 1.0]];

        let distances = simd_pairwise_distances(&X.view(), DistanceMetric::Euclidean)
            .expect("operation should succeed");

        assert_eq!(distances.dim(), (4, 4));

        // Check diagonal is zero
        for i in 0..4 {
            assert_eq!(distances[[i, i]], 0.0);
        }

        // Check specific distances
        assert!((distances[[0, 1]] - 1.0).abs() < 1e-5);
        assert!((distances[[0, 2]] - 1.0).abs() < 1e-5);
        assert!((distances[[0, 3]] - 2.0_f64.sqrt()).abs() < 1e-5);

        // Check symmetry
        for i in 0..4 {
            for j in 0..4 {
                assert!((distances[[i, j]] - distances[[j, i]]).abs() < 1e-10);
            }
        }
    }

    #[test]
    #[allow(non_snake_case)]
    fn test_simd_knn_graph() {
        let X = array![[1.0, 2.0], [2.0, 3.0], [3.0, 4.0], [4.0, 5.0]];

        let graph = simd_knn_graph(&X.view(), 2, 1.0).expect("operation should succeed");

        assert_eq!(graph.dim(), (4, 4));

        // Check diagonal is zero
        for i in 0..4 {
            assert_eq!(graph[[i, i]], 0.0);
        }

        // Check that each row has exactly 2 non-zero elements
        for i in 0..4 {
            let non_zero = graph.row(i).iter().filter(|&&x| x > 0.0).count();
            assert_eq!(non_zero, 2);
        }
    }

    #[test]
    fn test_simd_stats() {
        let stats = SimdStats::current();

        // Just verify the struct can be created
        assert!(stats.expected_speedup >= 1.0);

        #[cfg(target_arch = "x86_64")]
        {
            // On x86_64, we should have at least SSE2
            if is_x86_feature_detected!("sse2") {
                assert!(stats.simd_available);
            }
        }
    }

    #[test]
    #[should_panic(expected = "Vectors must have the same length")]
    fn test_euclidean_distance_different_lengths() {
        let a = vec![1.0, 2.0, 3.0];
        let b = vec![1.0, 2.0];

        euclidean_distance_f64(&a, &b);
    }

    #[test]
    #[allow(non_snake_case)]
    fn test_simd_pairwise_distances_serial_vs_parallel() {
        let X = array![[1.0, 2.0], [3.0, 4.0], [5.0, 6.0]];

        let serial = simd_pairwise_distances_serial(&X.view(), DistanceMetric::Euclidean)
            .expect("operation should succeed");

        let parallel = simd_pairwise_distances_parallel(&X.view(), DistanceMetric::Euclidean)
            .expect("operation should succeed");

        // Results should be identical (within floating point precision)
        for i in 0..3 {
            for j in 0..3 {
                assert!((serial[[i, j]] - parallel[[i, j]]).abs() < 1e-10);
            }
        }
    }

    #[test]
    #[allow(non_snake_case)]
    fn test_distance_metrics() {
        let X = array![[1.0, 2.0], [4.0, 5.0]];

        // Test all metrics
        let euc = simd_pairwise_distances(&X.view(), DistanceMetric::Euclidean)
            .expect("operation should succeed");
        let man = simd_pairwise_distances(&X.view(), DistanceMetric::Manhattan)
            .expect("operation should succeed");
        let cos = simd_pairwise_distances(&X.view(), DistanceMetric::Cosine)
            .expect("operation should succeed");
        let sq_euc = simd_pairwise_distances(&X.view(), DistanceMetric::SquaredEuclidean)
            .expect("operation should succeed");

        // All should have the same shape
        assert_eq!(euc.dim(), (2, 2));
        assert_eq!(man.dim(), (2, 2));
        assert_eq!(cos.dim(), (2, 2));
        assert_eq!(sq_euc.dim(), (2, 2));

        // Squared Euclidean should be Euclidean squared
        assert!((sq_euc[[0, 1]] - euc[[0, 1]].powi(2)).abs() < 1e-5);
    }
}