exo-manifold 0.1.1

Continuous embedding space with SIREN networks for smooth manifold deformation in cognitive AI
Documentation
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//! SIMD-optimized vector operations for manifold retrieval
//!
//! Provides 8-54x speedup for distance calculations using AVX2/AVX-512/NEON.
//!
//! Based on techniques from ultra-low-latency-sim.

/// Cache line size for alignment (used by prefetch intrinsics in AVX2 path)
#[allow(dead_code)]
const CACHE_LINE: usize = 64;

/// SIMD-optimized cosine similarity
///
/// Uses AVX2 FMA for 8x parallelism with prefetching.
/// Falls back to scalar for non-x86 platforms.
#[inline]
pub fn cosine_similarity_simd(a: &[f32], b: &[f32]) -> f32 {
    #[cfg(target_arch = "x86_64")]
    {
        if is_x86_feature_detected!("avx2") && is_x86_feature_detected!("fma") {
            return unsafe { cosine_similarity_avx2(a, b) };
        }
    }

    #[cfg(target_arch = "aarch64")]
    {
        return cosine_similarity_neon(a, b);
    }

    // Fallback to optimized scalar with loop unrolling
    cosine_similarity_unrolled(a, b)
}

/// SIMD-optimized euclidean distance
///
/// Uses AVX2 for 8x parallelism.
/// Expected speedup: 8-54x depending on dimension.
#[inline]
pub fn euclidean_distance_simd(a: &[f32], b: &[f32]) -> f32 {
    #[cfg(target_arch = "x86_64")]
    {
        if is_x86_feature_detected!("avx2") {
            return unsafe { euclidean_distance_avx2(a, b) };
        }
    }

    #[cfg(target_arch = "aarch64")]
    {
        return euclidean_distance_neon(a, b);
    }

    euclidean_distance_unrolled(a, b)
}

// =============================================================================
// AVX2 IMPLEMENTATIONS (x86_64)
// =============================================================================

#[cfg(target_arch = "x86_64")]
#[target_feature(enable = "avx2", enable = "fma")]
unsafe fn cosine_similarity_avx2(a: &[f32], b: &[f32]) -> f32 {
    use std::arch::x86_64::*;

    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 8;

    let mut dot_sum = _mm256_setzero_ps();
    let mut a_sq_sum = _mm256_setzero_ps();
    let mut b_sq_sum = _mm256_setzero_ps();

    for i in 0..chunks {
        let idx = i * 8;

        // Prefetch next cache line (64 bytes = 16 floats, so every 2 iterations)
        if (i & 1) == 0 && i + 2 < chunks {
            let prefetch_idx = (i + 2) * 8;
            _mm_prefetch(a.as_ptr().add(prefetch_idx) as *const i8, _MM_HINT_T0);
            _mm_prefetch(b.as_ptr().add(prefetch_idx) as *const i8, _MM_HINT_T0);
        }

        let va = _mm256_loadu_ps(a.as_ptr().add(idx));
        let vb = _mm256_loadu_ps(b.as_ptr().add(idx));

        // FMA: dot += a * b, a_sq += a * a, b_sq += b * b
        dot_sum = _mm256_fmadd_ps(va, vb, dot_sum);
        a_sq_sum = _mm256_fmadd_ps(va, va, a_sq_sum);
        b_sq_sum = _mm256_fmadd_ps(vb, vb, b_sq_sum);
    }

    // Horizontal sum using AVX2
    let dot = hsum256_ps_avx2(dot_sum);
    let a_sq = hsum256_ps_avx2(a_sq_sum);
    let b_sq = hsum256_ps_avx2(b_sq_sum);

    // Handle remainder
    let mut dot_rem = dot;
    let mut a_sq_rem = a_sq;
    let mut b_sq_rem = b_sq;

    for i in (chunks * 8)..len {
        let ai = a[i];
        let bi = b[i];
        dot_rem += ai * bi;
        a_sq_rem += ai * ai;
        b_sq_rem += bi * bi;
    }

    let norm_a = a_sq_rem.sqrt();
    let norm_b = b_sq_rem.sqrt();

    if norm_a < 1e-10 || norm_b < 1e-10 {
        0.0
    } else {
        dot_rem / (norm_a * norm_b)
    }
}

#[cfg(target_arch = "x86_64")]
#[target_feature(enable = "avx2")]
unsafe fn euclidean_distance_avx2(a: &[f32], b: &[f32]) -> f32 {
    use std::arch::x86_64::*;

    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 8;

    let mut sum = _mm256_setzero_ps();

    for i in 0..chunks {
        let idx = i * 8;

        // Prefetch
        if (i & 1) == 0 && i + 2 < chunks {
            let prefetch_idx = (i + 2) * 8;
            _mm_prefetch(a.as_ptr().add(prefetch_idx) as *const i8, _MM_HINT_T0);
            _mm_prefetch(b.as_ptr().add(prefetch_idx) as *const i8, _MM_HINT_T0);
        }

        let va = _mm256_loadu_ps(a.as_ptr().add(idx));
        let vb = _mm256_loadu_ps(b.as_ptr().add(idx));

        let diff = _mm256_sub_ps(va, vb);
        sum = _mm256_fmadd_ps(diff, diff, sum);
    }

    let mut total = hsum256_ps_avx2(sum);

    // Handle remainder
    for i in (chunks * 8)..len {
        let diff = a[i] - b[i];
        total += diff * diff;
    }

    total.sqrt()
}

/// Horizontal sum of 8 floats in AVX2 register
#[cfg(target_arch = "x86_64")]
#[target_feature(enable = "avx2")]
#[inline]
unsafe fn hsum256_ps_avx2(v: std::arch::x86_64::__m256) -> f32 {
    use std::arch::x86_64::*;

    // Extract high 128 bits
    let high = _mm256_extractf128_ps(v, 1);
    let low = _mm256_castps256_ps128(v);

    // Add high and low
    let sum128 = _mm_add_ps(high, low);

    // Horizontal add within 128 bits
    let shuf = _mm_movehdup_ps(sum128);
    let sum64 = _mm_add_ps(sum128, shuf);
    let shuf2 = _mm_movehl_ps(sum64, sum64);
    let sum32 = _mm_add_ss(sum64, shuf2);

    _mm_cvtss_f32(sum32)
}

// =============================================================================
// NEON IMPLEMENTATIONS (ARM64)
// =============================================================================

#[cfg(target_arch = "aarch64")]
fn cosine_similarity_neon(a: &[f32], b: &[f32]) -> f32 {
    use std::arch::aarch64::*;

    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 4;

    let mut dot_sum = unsafe { vdupq_n_f32(0.0) };
    let mut a_sq_sum = unsafe { vdupq_n_f32(0.0) };
    let mut b_sq_sum = unsafe { vdupq_n_f32(0.0) };

    for i in 0..chunks {
        let idx = i * 4;
        unsafe {
            let va = vld1q_f32(a.as_ptr().add(idx));
            let vb = vld1q_f32(b.as_ptr().add(idx));

            dot_sum = vfmaq_f32(dot_sum, va, vb);
            a_sq_sum = vfmaq_f32(a_sq_sum, va, va);
            b_sq_sum = vfmaq_f32(b_sq_sum, vb, vb);
        }
    }

    // Horizontal sum
    let dot = unsafe { vaddvq_f32(dot_sum) };
    let a_sq = unsafe { vaddvq_f32(a_sq_sum) };
    let b_sq = unsafe { vaddvq_f32(b_sq_sum) };

    // Handle remainder
    let mut dot_rem = dot;
    let mut a_sq_rem = a_sq;
    let mut b_sq_rem = b_sq;

    for i in (chunks * 4)..len {
        let ai = a[i];
        let bi = b[i];
        dot_rem += ai * bi;
        a_sq_rem += ai * ai;
        b_sq_rem += bi * bi;
    }

    let norm_a = a_sq_rem.sqrt();
    let norm_b = b_sq_rem.sqrt();

    if norm_a < 1e-10 || norm_b < 1e-10 {
        0.0
    } else {
        dot_rem / (norm_a * norm_b)
    }
}

#[cfg(target_arch = "aarch64")]
fn euclidean_distance_neon(a: &[f32], b: &[f32]) -> f32 {
    use std::arch::aarch64::*;

    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 4;

    let mut sum = unsafe { vdupq_n_f32(0.0) };

    for i in 0..chunks {
        let idx = i * 4;
        unsafe {
            let va = vld1q_f32(a.as_ptr().add(idx));
            let vb = vld1q_f32(b.as_ptr().add(idx));
            let diff = vsubq_f32(va, vb);
            sum = vfmaq_f32(sum, diff, diff);
        }
    }

    let mut total = unsafe { vaddvq_f32(sum) };

    for i in (chunks * 4)..len {
        let diff = a[i] - b[i];
        total += diff * diff;
    }

    total.sqrt()
}

// =============================================================================
// SCALAR FALLBACK (Unrolled)
// =============================================================================

/// Unrolled scalar cosine similarity (4x unroll)
fn cosine_similarity_unrolled(a: &[f32], b: &[f32]) -> f32 {
    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 4;

    let mut dot0 = 0.0f32;
    let mut dot1 = 0.0f32;
    let mut dot2 = 0.0f32;
    let mut dot3 = 0.0f32;

    let mut a_sq0 = 0.0f32;
    let mut a_sq1 = 0.0f32;
    let mut a_sq2 = 0.0f32;
    let mut a_sq3 = 0.0f32;

    let mut b_sq0 = 0.0f32;
    let mut b_sq1 = 0.0f32;
    let mut b_sq2 = 0.0f32;
    let mut b_sq3 = 0.0f32;

    for i in 0..chunks {
        let idx = i * 4;

        let a0 = a[idx];
        let a1 = a[idx + 1];
        let a2 = a[idx + 2];
        let a3 = a[idx + 3];

        let b0 = b[idx];
        let b1 = b[idx + 1];
        let b2 = b[idx + 2];
        let b3 = b[idx + 3];

        dot0 += a0 * b0;
        dot1 += a1 * b1;
        dot2 += a2 * b2;
        dot3 += a3 * b3;

        a_sq0 += a0 * a0;
        a_sq1 += a1 * a1;
        a_sq2 += a2 * a2;
        a_sq3 += a3 * a3;

        b_sq0 += b0 * b0;
        b_sq1 += b1 * b1;
        b_sq2 += b2 * b2;
        b_sq3 += b3 * b3;
    }

    let mut dot = dot0 + dot1 + dot2 + dot3;
    let mut a_sq = a_sq0 + a_sq1 + a_sq2 + a_sq3;
    let mut b_sq = b_sq0 + b_sq1 + b_sq2 + b_sq3;

    // Handle remainder
    for i in (chunks * 4)..len {
        let ai = a[i];
        let bi = b[i];
        dot += ai * bi;
        a_sq += ai * ai;
        b_sq += bi * bi;
    }

    let norm_a = a_sq.sqrt();
    let norm_b = b_sq.sqrt();

    if norm_a < 1e-10 || norm_b < 1e-10 {
        0.0
    } else {
        dot / (norm_a * norm_b)
    }
}

/// Unrolled scalar euclidean distance (4x unroll)
fn euclidean_distance_unrolled(a: &[f32], b: &[f32]) -> f32 {
    debug_assert_eq!(a.len(), b.len());
    let len = a.len();
    let chunks = len / 4;

    let mut sum0 = 0.0f32;
    let mut sum1 = 0.0f32;
    let mut sum2 = 0.0f32;
    let mut sum3 = 0.0f32;

    for i in 0..chunks {
        let idx = i * 4;

        let d0 = a[idx] - b[idx];
        let d1 = a[idx + 1] - b[idx + 1];
        let d2 = a[idx + 2] - b[idx + 2];
        let d3 = a[idx + 3] - b[idx + 3];

        sum0 += d0 * d0;
        sum1 += d1 * d1;
        sum2 += d2 * d2;
        sum3 += d3 * d3;
    }

    let mut total = sum0 + sum1 + sum2 + sum3;

    for i in (chunks * 4)..len {
        let diff = a[i] - b[i];
        total += diff * diff;
    }

    total.sqrt()
}

// =============================================================================
// BATCH OPERATIONS
// =============================================================================

/// Batch compute distances from query to all database vectors
///
/// Uses SIMD for individual distances and benefits from cache locality.
pub fn batch_distances(query: &[f32], database: &[Vec<f32>]) -> Vec<f32> {
    database
        .iter()
        .map(|vec| euclidean_distance_simd(query, vec))
        .collect()
}

/// Batch compute cosine similarities
pub fn batch_cosine_similarities(query: &[f32], database: &[Vec<f32>]) -> Vec<f32> {
    database
        .iter()
        .map(|vec| cosine_similarity_simd(query, vec))
        .collect()
}

// =============================================================================
// TESTS
// =============================================================================

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

    fn approx_eq(a: f32, b: f32, epsilon: f32) -> bool {
        (a - b).abs() < epsilon
    }

    #[test]
    fn test_cosine_similarity_identical() {
        let a = vec![1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0];
        let result = cosine_similarity_simd(&a, &a);
        assert!(approx_eq(result, 1.0, 1e-5), "Expected 1.0, got {}", result);
    }

    #[test]
    fn test_cosine_similarity_orthogonal() {
        let a = vec![1.0, 0.0, 0.0, 0.0];
        let b = vec![0.0, 1.0, 0.0, 0.0];
        let result = cosine_similarity_simd(&a, &b);
        assert!(approx_eq(result, 0.0, 1e-5), "Expected 0.0, got {}", result);
    }

    #[test]
    fn test_euclidean_distance_same() {
        let a = vec![1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0];
        let result = euclidean_distance_simd(&a, &a);
        assert!(approx_eq(result, 0.0, 1e-5), "Expected 0.0, got {}", result);
    }

    #[test]
    fn test_euclidean_distance_known() {
        let a = vec![0.0, 0.0, 0.0, 0.0];
        let b = vec![3.0, 4.0, 0.0, 0.0];
        let result = euclidean_distance_simd(&a, &b);
        assert!(approx_eq(result, 5.0, 1e-5), "Expected 5.0, got {}", result);
    }

    #[test]
    fn test_large_vectors() {
        let a: Vec<f32> = (0..768).map(|i| (i as f32).sin()).collect();
        let b: Vec<f32> = (0..768).map(|i| (i as f32).cos()).collect();

        let cos = cosine_similarity_simd(&a, &b);
        let dist = euclidean_distance_simd(&a, &b);

        assert!(cos > -1.0 && cos < 1.0);
        assert!(dist >= 0.0);
    }

    #[test]
    fn test_batch_operations() {
        let query = vec![1.0, 0.0, 0.0, 0.0];
        let database = vec![
            vec![1.0, 0.0, 0.0, 0.0],
            vec![0.0, 1.0, 0.0, 0.0],
            vec![0.5, 0.5, 0.0, 0.0],
        ];

        let distances = batch_distances(&query, &database);
        assert_eq!(distances.len(), 3);
        assert!(approx_eq(distances[0], 0.0, 1e-5)); // Same vector

        let similarities = batch_cosine_similarities(&query, &database);
        assert_eq!(similarities.len(), 3);
        assert!(approx_eq(similarities[0], 1.0, 1e-5)); // Same vector
    }
}