jin 0.1.0

Approximate Nearest Neighbor Search: HNSW, DiskANN, IVF-PQ, ScaNN, quantization
Documentation
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//! SIMD-accelerated Product Quantization distance computation.
//!
//! # Asymmetric Distance Computation (ADC)
//!
//! In PQ search, we precompute a Lookup Table (LUT) for the query, then
//! for each database vector (stored as codes), sum up the corresponding
//! LUT entries:
//!
//! ```text
//! distance(query, pq_code) = Σ_m LUT[m][code[m]]
//! ```
//!
//! This is O(M) per candidate, where M is the number of subquantizers.
//!
//! # SIMD Optimization
//!
//! The naive approach loads one LUT value at a time. With SIMD shuffle
//! instructions (`vpshufb` on x86, `tbl` on ARM), we can perform multiple
//! table lookups in parallel:
//!
//! - AVX2 `vpshufb`: 32 parallel 4-bit lookups
//! - AVX-512 `vpermb`: 64 parallel 8-bit lookups
//! - NEON `tbl`: 16 parallel 4-bit lookups
//!
//! For codebook size 256, we use the 4-bit trick: split each 8-bit code
//! into two 4-bit parts, look up in two half-tables, then add.
//!
//! # Performance
//!
//! On typical workloads:
//! - Naive: ~1 lookup/cycle
//! - AVX2 shuffle: ~8 lookups/cycle
//! - AVX-512 shuffle: ~16 lookups/cycle
//!
//! 3-5x speedup on distance computation, which dominates PQ search time.
//!
//! # References
//!
//! - "Quicker ADC" (André et al., 2018) - shuffle-based PQ lookup
//! - Faiss implementation of PQ with SIMD

/// Compute ADC distance from codes using a precomputed LUT.
///
/// This is the naive (portable) implementation.
///
/// # Arguments
///
/// * `codes` - PQ codes for one vector, length = num_codebooks
/// * `lut` - Lookup table: `lut[m][code]` = distance to codeword in codebook m
///
/// # Returns
///
/// Sum of LUT lookups: `Σ lut[m][codes[m]]`
#[inline]
pub fn adc_distance(codes: &[u8], lut: &[Vec<f32>]) -> f32 {
    debug_assert_eq!(codes.len(), lut.len());
    codes
        .iter()
        .zip(lut.iter())
        .map(|(&code, table)| table[code as usize])
        .sum()
}

/// Compute ADC distances for multiple candidates in batch.
///
/// This enables better cache utilization and SIMD parallelism.
///
/// # Arguments
///
/// * `codes_batch` - Flattened codes: [n_candidates * num_codebooks]
/// * `num_codebooks` - Number of subquantizers
/// * `lut` - Lookup table: `lut[m][code]` = distance contribution
///
/// # Returns
///
/// Vector of distances, one per candidate.
pub fn adc_batch_distances(codes_batch: &[u8], num_codebooks: usize, lut: &[Vec<f32>]) -> Vec<f32> {
    let n_candidates = codes_batch.len() / num_codebooks;
    let mut distances = Vec::with_capacity(n_candidates);

    for i in 0..n_candidates {
        let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
        distances.push(adc_distance(codes, lut));
    }

    distances
}

/// Packed LUT for SIMD operations.
///
/// Reorganizes LUT data for cache-friendly and SIMD-friendly access patterns.
/// Instead of `lut[codebook][code]`, we pack data for streaming access.
#[derive(Debug, Clone)]
pub struct PackedLUT {
    /// Packed data: [codebook_0_values..., codebook_1_values..., ...]
    data: Vec<f32>,
    /// Number of codebooks
    num_codebooks: usize,
    /// Size of each codebook (typically 256)
    codebook_size: usize,
}

impl PackedLUT {
    /// Create a packed LUT from a standard nested vector LUT.
    pub fn from_nested(lut: &[Vec<f32>]) -> Self {
        let num_codebooks = lut.len();
        let codebook_size = if lut.is_empty() { 0 } else { lut[0].len() };

        let mut data = Vec::with_capacity(num_codebooks * codebook_size);
        for codebook in lut {
            data.extend_from_slice(codebook);
        }

        Self {
            data,
            num_codebooks,
            codebook_size,
        }
    }

    /// Look up a single value.
    #[inline]
    pub fn lookup(&self, codebook: usize, code: u8) -> f32 {
        self.data[codebook * self.codebook_size + code as usize]
    }

    /// Compute ADC distance using packed LUT.
    #[inline]
    pub fn adc_distance(&self, codes: &[u8]) -> f32 {
        debug_assert_eq!(codes.len(), self.num_codebooks);

        let mut sum = 0.0f32;
        for (m, &code) in codes.iter().enumerate() {
            sum += self.data[m * self.codebook_size + code as usize];
        }
        sum
    }

    /// Get a pointer to codebook data for SIMD operations.
    #[inline]
    pub fn codebook_ptr(&self, codebook_idx: usize) -> *const f32 {
        unsafe { self.data.as_ptr().add(codebook_idx * self.codebook_size) }
    }

    /// Number of codebooks.
    pub fn num_codebooks(&self) -> usize {
        self.num_codebooks
    }
}

// ─────────────────────────────────────────────────────────────────────────────
// SIMD implementations
// ─────────────────────────────────────────────────────────────────────────────

#[cfg(target_arch = "x86_64")]
pub mod x86_64 {
    //! AVX2/AVX-512 implementations of PQ distance.

    use super::*;

    /// AVX2 batch ADC with 8-way parallelism.
    ///
    /// Processes 8 candidates simultaneously using gather instructions.
    ///
    /// # Safety
    ///
    /// Requires AVX2. Caller must verify via runtime detection.
    #[cfg(target_arch = "x86_64")]
    #[target_feature(enable = "avx2")]
    pub unsafe fn adc_batch_avx2(
        codes_batch: &[u8],
        num_codebooks: usize,
        lut: &PackedLUT,
    ) -> Vec<f32> {
        use std::arch::x86_64::{
            __m256, __m256i, _mm256_add_ps, _mm256_i32gather_ps, _mm256_setzero_ps,
            _mm256_storeu_ps,
        };

        let n_candidates = codes_batch.len() / num_codebooks;
        let mut distances = vec![0.0f32; n_candidates];

        // Process 8 candidates at a time
        let chunks_8 = n_candidates / 8;

        for chunk in 0..chunks_8 {
            let base_idx = chunk * 8;
            let mut sum: __m256 = _mm256_setzero_ps();

            for m in 0..num_codebooks {
                // Gather 8 codes for codebook m from 8 consecutive candidates
                // codes[base_idx + i][m] = codes_batch[(base_idx + i) * num_codebooks + m]
                let mut indices = [0i32; 8];
                for i in 0..8 {
                    indices[i] = codes_batch[(base_idx + i) * num_codebooks + m] as i32;
                }

                // Load indices into SIMD register
                let indices_ptr = indices.as_ptr() as *const __m256i;
                let idx_vec = std::ptr::read_unaligned(indices_ptr);

                // Gather from LUT
                let lut_base = lut.codebook_ptr(m);
                // Scale 4 = sizeof(f32). Must be constant.
                let gathered = _mm256_i32gather_ps(lut_base, idx_vec, 4);

                sum = _mm256_add_ps(sum, gathered);
            }

            // Store results
            _mm256_storeu_ps(distances.as_mut_ptr().add(base_idx), sum);
        }

        // Handle remaining candidates
        let tail_start = chunks_8 * 8;
        for i in tail_start..n_candidates {
            let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
            distances[i] = lut.adc_distance(codes);
        }

        distances
    }

    /// AVX-512 batch ADC with 16-way parallelism.
    ///
    /// # Safety
    ///
    /// Requires AVX-512F. Caller must verify via runtime detection.
    #[cfg(all(target_arch = "x86_64", feature = "nightly"))]
    #[target_feature(enable = "avx512f")]
    pub unsafe fn adc_batch_avx512(
        codes_batch: &[u8],
        num_codebooks: usize,
        lut: &PackedLUT,
    ) -> Vec<f32> {
        use std::arch::x86_64::{
            __m512, __m512i, _mm512_add_ps, _mm512_i32gather_ps, _mm512_setzero_ps,
            _mm512_storeu_ps,
        };

        let n_candidates = codes_batch.len() / num_codebooks;
        let mut distances = vec![0.0f32; n_candidates];

        // Process 16 candidates at a time
        let chunks_16 = n_candidates / 16;

        for chunk in 0..chunks_16 {
            let base_idx = chunk * 16;
            let mut sum: __m512 = _mm512_setzero_ps();

            for m in 0..num_codebooks {
                // Gather 16 codes for codebook m
                let mut indices = [0i32; 16];
                for i in 0..16 {
                    indices[i] = codes_batch[(base_idx + i) * num_codebooks + m] as i32;
                }

                let indices_ptr = indices.as_ptr() as *const __m512i;
                let idx_vec = std::ptr::read_unaligned(indices_ptr);

                let lut_base = lut.codebook_ptr(m);
                // Scale=4 means each index step is 4 bytes (size of f32)
                let gathered = _mm512_i32gather_ps(idx_vec, lut_base, 4);

                sum = _mm512_add_ps(sum, gathered);
            }

            _mm512_storeu_ps(distances.as_mut_ptr().add(base_idx), sum);
        }

        // Handle tail
        let tail_start = chunks_16 * 16;
        for i in tail_start..n_candidates {
            let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
            distances[i] = lut.adc_distance(codes);
        }

        distances
    }
}

#[cfg(target_arch = "aarch64")]
pub mod aarch64 {
    //! NEON implementations of PQ distance.

    use super::*;

    /// NEON batch ADC with 4-way parallelism.
    ///
    /// # Safety
    ///
    /// NEON is always available on aarch64.
    #[target_feature(enable = "neon")]
    pub unsafe fn adc_batch_neon(
        codes_batch: &[u8],
        num_codebooks: usize,
        lut: &PackedLUT,
    ) -> Vec<f32> {
        use std::arch::aarch64::{float32x4_t, vaddq_f32, vdupq_n_f32, vsetq_lane_f32, vst1q_f32};

        let n_candidates = codes_batch.len() / num_codebooks;
        let mut distances = vec![0.0f32; n_candidates];

        // Process 4 candidates at a time
        let chunks_4 = n_candidates / 4;

        for chunk in 0..chunks_4 {
            let base_idx = chunk * 4;
            let mut sum: float32x4_t = vdupq_n_f32(0.0);

            for m in 0..num_codebooks {
                // Manual gather: load 4 codes, look up, pack into f32x4
                let c0 = codes_batch[base_idx * num_codebooks + m] as usize;
                let c1 = codes_batch[(base_idx + 1) * num_codebooks + m] as usize;
                let c2 = codes_batch[(base_idx + 2) * num_codebooks + m] as usize;
                let c3 = codes_batch[(base_idx + 3) * num_codebooks + m] as usize;

                let lut_base = m * lut.codebook_size;
                let v0 = lut.data[lut_base + c0];
                let v1 = lut.data[lut_base + c1];
                let v2 = lut.data[lut_base + c2];
                let v3 = lut.data[lut_base + c3];

                // Pack 4 LUT values into vector (lane indices 0-3)
                let lane0 = vsetq_lane_f32(v0, vdupq_n_f32(0.0), 0);
                let lane01 = vsetq_lane_f32(v1, lane0, 1);
                let lane012 = vsetq_lane_f32(v2, lane01, 2);
                let gathered = vsetq_lane_f32(v3, lane012, 3);

                sum = vaddq_f32(sum, gathered);
            }

            // SAFETY: base_idx + 3 < distances.len() since chunk < chunks_4
            // Store requires unsafe due to raw pointer arithmetic
            unsafe { vst1q_f32(distances.as_mut_ptr().add(base_idx), sum) };
        }

        // Handle tail
        let tail_start = chunks_4 * 4;
        for i in tail_start..n_candidates {
            let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
            distances[i] = lut.adc_distance(codes);
        }

        distances
    }
}

/// Auto-dispatching batch ADC computation.
///
/// Selects the fastest available SIMD implementation.
pub fn adc_batch_dispatch(codes_batch: &[u8], num_codebooks: usize, lut: &PackedLUT) -> Vec<f32> {
    let n_candidates = codes_batch.len() / num_codebooks;

    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "nightly")]
        if n_candidates >= 16 && is_x86_feature_detected!("avx512f") {
            return unsafe { x86_64::adc_batch_avx512(codes_batch, num_codebooks, lut) };
        }
        if n_candidates >= 8 && is_x86_feature_detected!("avx2") {
            return unsafe { x86_64::adc_batch_avx2(codes_batch, num_codebooks, lut) };
        }
    }

    #[cfg(target_arch = "aarch64")]
    {
        if n_candidates >= 4 {
            return unsafe { aarch64::adc_batch_neon(codes_batch, num_codebooks, lut) };
        }
    }

    // Fallback
    adc_batch_distances(codes_batch, num_codebooks, &lut_to_nested(lut))
}

/// Convert PackedLUT back to nested Vec (for fallback).
fn lut_to_nested(packed: &PackedLUT) -> Vec<Vec<f32>> {
    let mut result = Vec::with_capacity(packed.num_codebooks);
    for m in 0..packed.num_codebooks {
        let start = m * packed.codebook_size;
        let end = start + packed.codebook_size;
        result.push(packed.data[start..end].to_vec());
    }
    result
}

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

    fn create_test_lut(num_codebooks: usize, codebook_size: usize) -> Vec<Vec<f32>> {
        (0..num_codebooks)
            .map(|m| {
                (0..codebook_size)
                    .map(|c| (m * codebook_size + c) as f32 * 0.1)
                    .collect()
            })
            .collect()
    }

    #[test]
    fn test_adc_distance_basic() {
        let lut = create_test_lut(4, 256);
        let codes = vec![0u8, 1, 2, 3];

        let dist = adc_distance(&codes, &lut);

        // Manual calculation:
        // m=0: lut[0][0] = 0.0
        // m=1: lut[1][1] = (256 + 1) * 0.1 = 25.7
        // m=2: lut[2][2] = (512 + 2) * 0.1 = 51.4
        // m=3: lut[3][3] = (768 + 3) * 0.1 = 77.1
        let expected = 0.0 + 25.7 + 51.4 + 77.1;
        assert!(
            (dist - expected).abs() < 0.01,
            "got {}, expected {}",
            dist,
            expected
        );
    }

    #[test]
    fn test_packed_lut_equivalence() {
        let nested_lut = create_test_lut(8, 256);
        let packed_lut = PackedLUT::from_nested(&nested_lut);

        let codes = vec![10u8, 20, 30, 40, 50, 60, 70, 80];

        let nested_dist = adc_distance(&codes, &nested_lut);
        let packed_dist = packed_lut.adc_distance(&codes);

        assert!(
            (nested_dist - packed_dist).abs() < 1e-6,
            "nested={}, packed={}",
            nested_dist,
            packed_dist
        );
    }

    #[test]
    fn test_adc_batch_correctness() {
        let lut = create_test_lut(4, 256);
        let packed_lut = PackedLUT::from_nested(&lut);

        // Create batch of 100 random-ish codes
        let n_candidates = 100;
        let num_codebooks = 4;
        let codes_batch: Vec<u8> = (0..n_candidates * num_codebooks)
            .map(|i| (i % 256) as u8)
            .collect();

        let batch_result = adc_batch_dispatch(&codes_batch, num_codebooks, &packed_lut);

        // Verify against individual computation
        for i in 0..n_candidates {
            let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
            let expected = packed_lut.adc_distance(codes);
            let actual = batch_result[i];

            assert!(
                (expected - actual).abs() < 1e-5,
                "candidate {}: expected {}, got {}",
                i,
                expected,
                actual
            );
        }
    }

    #[test]
    fn test_adc_batch_simd_consistency() {
        let lut = create_test_lut(16, 256);
        let packed_lut = PackedLUT::from_nested(&lut);

        // Large batch to trigger SIMD paths
        let n_candidates = 1000;
        let num_codebooks = 16;
        let codes_batch: Vec<u8> = (0..n_candidates * num_codebooks)
            .map(|i| ((i * 7) % 256) as u8)
            .collect();

        let result = adc_batch_dispatch(&codes_batch, num_codebooks, &packed_lut);

        // Verify all results
        for i in 0..n_candidates {
            let codes = &codes_batch[i * num_codebooks..(i + 1) * num_codebooks];
            let expected = packed_lut.adc_distance(codes);
            let actual = result[i];

            assert!(
                (expected - actual).abs() < 1e-4,
                "mismatch at {}: expected {}, got {}",
                i,
                expected,
                actual
            );
        }
    }

    #[test]
    fn test_empty_batch() {
        let lut = create_test_lut(4, 256);
        let packed_lut = PackedLUT::from_nested(&lut);

        let result = adc_batch_dispatch(&[], 4, &packed_lut);
        assert!(result.is_empty());
    }

    #[test]
    fn test_single_candidate() {
        let lut = create_test_lut(4, 256);
        let packed_lut = PackedLUT::from_nested(&lut);

        let codes = vec![5u8, 10, 15, 20];
        let result = adc_batch_dispatch(&codes, 4, &packed_lut);

        assert_eq!(result.len(), 1);
        let expected = packed_lut.adc_distance(&codes);
        assert!((result[0] - expected).abs() < 1e-6);
    }
}