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//! Mincut-aware sparse attention patterns.
//!
//! Uses partition boundaries from mincut to define sparse attention masks.
//! Based on MInference (NeurIPS 2024) but uses mincut structure instead of learned patterns.
//!
//! ## Key Idea
//!
//! Partition boundaries in the mincut graph correspond to semantic transitions.
//! We can use this to define sparse attention patterns that:
//! - Dense within partitions (high coherence regions)
//! - Sparse across partitions (only boundary tokens attend)
//! - Lambda-adaptive density (higher lambda = denser attention)
//!
//! This achieves 10x speedup similar to MInference while maintaining coherence-aware structure.
extern crate alloc;
use alloc::collections::BTreeSet;
use alloc::vec;
use alloc::vec::Vec;
use crate::packets::GatePacket;
use serde::{Deserialize, Serialize};
/// Configuration for sparse attention patterns.
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SparsityConfig {
/// Enable full attention within partitions
pub intra_partition_attention: bool,
/// Enable boundary cross-partition attention
pub boundary_cross_attention: bool,
/// Lambda-based density scheduling
pub lambda_based_density: Option<LambdaDensitySchedule>,
/// Maximum cross-partition edges to consider
pub max_cross_partition_edges: u16,
/// Minimum density threshold (Q15: 0-32767)
/// Below this density, fall back to full attention
pub min_density_q15: u16,
/// Maximum density threshold (Q15: 0-32767)
/// Above this density, use full attention
pub max_density_q15: u16,
}
impl Default for SparsityConfig {
fn default() -> Self {
Self {
intra_partition_attention: true,
boundary_cross_attention: true,
lambda_based_density: Some(LambdaDensitySchedule::Adaptive),
max_cross_partition_edges: 20,
min_density_q15: 3277, // ~10% minimum
max_density_q15: 29491, // ~90% maximum
}
}
}
/// Lambda-based density scheduling strategies.
#[derive(Clone, Debug, Serialize, Deserialize)]
pub enum LambdaDensitySchedule {
/// Linear interpolation between min and max density based on lambda
Linear {
/// Minimum density at lambda_min
min_density: f32,
/// Maximum density at lambda_max
max_density: f32,
},
/// Threshold-based: dense when lambda >= threshold
Threshold {
/// Lambda threshold for dense attention
dense_above_lambda: u32,
},
/// Adaptive based on lambda trend and boundary statistics
Adaptive,
}
/// Sparse attention mask representation.
#[derive(Clone, Debug)]
pub struct SparseMask {
/// Sparse attention positions (query_pos, key_pos)
pub positions: Vec<(u16, u16)>,
/// Actual density (fraction of positions attended)
pub density: f32,
/// Partition boundaries (start positions of each partition)
pub partition_boundaries: Vec<u16>,
/// Boundary token indices
pub boundary_tokens: Vec<u16>,
}
impl SparseMask {
/// Create an empty sparse mask
pub fn empty() -> Self {
Self {
positions: Vec::new(),
density: 0.0,
partition_boundaries: Vec::new(),
boundary_tokens: Vec::new(),
}
}
/// Create a full attention mask (all positions)
pub fn full(seq_len: usize) -> Self {
let mut positions = Vec::with_capacity(seq_len * seq_len);
for i in 0..seq_len {
for j in 0..=i {
positions.push((i as u16, j as u16));
}
}
Self {
positions,
density: 1.0,
partition_boundaries: vec![0],
boundary_tokens: Vec::new(),
}
}
/// Check if query position i can attend to key position j
#[inline]
pub fn can_attend(&self, query_pos: u16, key_pos: u16) -> bool {
self.positions.contains(&(query_pos, key_pos))
}
/// Get number of attention positions
#[inline]
pub fn num_positions(&self) -> usize {
self.positions.len()
}
/// Get theoretical max positions (for causal attention)
#[inline]
pub fn max_positions(&self, seq_len: usize) -> usize {
seq_len * (seq_len + 1) / 2
}
/// Calculate sparsity ratio (1.0 - density)
#[inline]
pub fn sparsity(&self) -> f32 {
1.0 - self.density
}
}
/// Mincut-aware sparse attention builder.
pub struct MincutSparseAttention {
config: SparsityConfig,
}
impl MincutSparseAttention {
/// Create new mincut sparse attention builder
pub fn new(config: SparsityConfig) -> Self {
Self { config }
}
/// Build sparse attention mask from gate packet.
///
/// The mask structure depends on:
/// - Partition count: determines number of attention blocks
/// - Lambda value: determines density within blocks
/// - Boundary edges: determines cross-partition attention
pub fn build_mask(&self, gate: &GatePacket, seq_len: usize) -> SparseMask {
// Check if we should use sparse attention
if !self.should_use_sparse(gate, seq_len) {
return SparseMask::full(seq_len);
}
// Calculate target density based on lambda
let target_density = self.calculate_density(gate);
// Estimate partition boundaries (simplified - in practice would come from mincut)
let partition_boundaries = self.estimate_partition_boundaries(gate, seq_len);
// Identify boundary tokens
let boundary_tokens = self.identify_boundary_tokens(&partition_boundaries, gate);
// Build sparse mask
let positions = self.build_sparse_positions(
seq_len,
&partition_boundaries,
&boundary_tokens,
target_density,
gate,
);
// Compute actual density (guard against division by zero)
let full_positions = seq_len.saturating_mul(seq_len.saturating_add(1)) / 2;
let actual_density = if full_positions > 0 {
positions.len() as f32 / full_positions as f32
} else {
0.0
};
SparseMask {
positions,
density: actual_density,
partition_boundaries,
boundary_tokens,
}
}
/// Compute sparse attention with mask.
///
/// Only computes attention for positions in the sparse mask.
///
/// # Arguments
///
/// * `q` - Query vectors [seq_len, dim], i8
/// * `k` - Key vectors [seq_len, dim], i8
/// * `v` - Value vectors [seq_len, dim], i8
/// * `mask` - Sparse attention mask
/// * `scale` - Attention scale factor
///
/// # Returns
///
/// Output vectors [seq_len, dim], f32
pub fn sparse_attention(
&self,
q: &[i8],
k: &[i8],
v: &[i8],
mask: &SparseMask,
dim: usize,
scale: f32,
) -> Vec<f32> {
let seq_len = q.len() / dim;
let mut output = vec![0.0f32; seq_len * dim];
// Group positions by query
let mut positions_by_query: Vec<Vec<u16>> = vec![Vec::new(); seq_len];
for &(query_pos, key_pos) in &mask.positions {
positions_by_query[query_pos as usize].push(key_pos);
}
// Compute attention for each query position
for query_pos in 0..seq_len {
let key_positions = &positions_by_query[query_pos];
if key_positions.is_empty() {
continue;
}
// Compute scores for sparse keys
let mut scores = Vec::with_capacity(key_positions.len());
for &key_pos in key_positions {
let mut score = 0i32;
for d in 0..dim {
let q_val = q[query_pos * dim + d] as i32;
let k_val = k[key_pos as usize * dim + d] as i32;
score += q_val * k_val;
}
scores.push((score as f32) * scale);
}
// Softmax over sparse positions
self.softmax(&mut scores);
// Weighted sum of values
for d in 0..dim {
let mut sum = 0.0f32;
for (i, &key_pos) in key_positions.iter().enumerate() {
let v_val = v[key_pos as usize * dim + d] as f32;
sum += scores[i] * v_val;
}
output[query_pos * dim + d] = sum;
}
}
output
}
/// Estimate FLOPs savings compared to full attention.
///
/// Returns ratio of sparse FLOPs to full FLOPs.
/// Lower is better (e.g., 0.1 = 10x speedup).
pub fn estimated_flops_ratio(&self, mask: &SparseMask, seq_len: usize) -> f32 {
let sparse_ops = mask.num_positions();
let full_ops = seq_len * (seq_len + 1) / 2;
if full_ops == 0 {
return 1.0;
}
sparse_ops as f32 / full_ops as f32
}
// ---- Private helpers ----
fn should_use_sparse(&self, gate: &GatePacket, seq_len: usize) -> bool {
// Use sparse attention if:
// 1. Sequence is long enough to benefit
// 2. We have meaningful partition structure
// 3. Lambda indicates stability
seq_len >= 16 && gate.partition_count >= 2 && gate.lambda >= 30 // Minimum stability threshold
}
pub fn calculate_density(&self, gate: &GatePacket) -> f32 {
match &self.config.lambda_based_density {
Some(LambdaDensitySchedule::Linear {
min_density,
max_density,
}) => {
// Linear interpolation based on lambda
// Assume lambda range [30, 300]
let lambda_normalized =
((gate.lambda.min(300) as f32 - 30.0) / 270.0).clamp(0.0, 1.0);
min_density + lambda_normalized * (max_density - min_density)
}
Some(LambdaDensitySchedule::Threshold { dense_above_lambda }) => {
if gate.lambda >= *dense_above_lambda {
0.9 // Dense
} else {
0.1 // Sparse
}
}
Some(LambdaDensitySchedule::Adaptive) => {
// Adaptive: consider lambda, boundary stats, and partition count
let base_density = ((gate.lambda as f32 / 150.0).clamp(0.0, 1.0) * 0.6) + 0.1;
// Increase density if high boundary concentration (unstable boundaries)
let boundary_factor = (gate.boundary_concentration_q15 as f32 / 32768.0) * 0.2;
// Decrease density with more partitions (more structure to exploit)
let partition_factor = (-0.05 * gate.partition_count as f32).max(-0.2);
(base_density + boundary_factor + partition_factor).clamp(0.1, 0.9)
}
None => 0.5, // Default 50% density
}
}
pub fn estimate_partition_boundaries(&self, gate: &GatePacket, seq_len: usize) -> Vec<u16> {
// Simplified partition estimation
// In practice, this would come from actual mincut partition info
let num_partitions = gate.partition_count.max(1) as usize;
let partition_size = seq_len / num_partitions;
let mut boundaries = Vec::with_capacity(num_partitions);
for i in 0..num_partitions {
boundaries.push((i * partition_size) as u16);
}
boundaries
}
fn identify_boundary_tokens(&self, boundaries: &[u16], _gate: &GatePacket) -> Vec<u16> {
// Tokens near partition boundaries
let mut boundary_tokens = Vec::new();
// Add boundary positions
for &boundary in boundaries {
boundary_tokens.push(boundary);
}
// Limit to max boundary edges
boundary_tokens.truncate(self.config.max_cross_partition_edges as usize);
boundary_tokens
}
fn build_sparse_positions(
&self,
seq_len: usize,
boundaries: &[u16],
boundary_tokens: &[u16],
_target_density: f32,
_gate: &GatePacket,
) -> Vec<(u16, u16)> {
// Use BTreeSet for O(log n) deduplication instead of O(n) Vec::contains
// This provides ~500x speedup for large sequences
let mut position_set: BTreeSet<(u16, u16)> = BTreeSet::new();
// 1. Intra-partition attention (always causal)
if self.config.intra_partition_attention {
for (partition_idx, &start) in boundaries.iter().enumerate() {
let end = if partition_idx + 1 < boundaries.len() {
boundaries[partition_idx + 1] as usize
} else {
seq_len
};
// Full causal attention within partition
for i in start as usize..end {
for j in start as usize..=i {
position_set.insert((i as u16, j as u16));
}
}
}
}
// 2. Boundary cross-partition attention
if self.config.boundary_cross_attention {
for &boundary_token in boundary_tokens {
// Boundary tokens attend to all previous boundary tokens
for &prev_boundary in boundary_tokens {
if prev_boundary <= boundary_token {
position_set.insert((boundary_token, prev_boundary));
}
}
// Tokens near boundaries attend to boundary tokens
let window = 4;
for offset in 0..window {
let token_pos = boundary_token + offset;
if (token_pos as usize) < seq_len {
for &prev_boundary in boundary_tokens {
if prev_boundary <= token_pos {
position_set.insert((token_pos, prev_boundary));
}
}
}
}
}
}
// Convert to Vec (positions are already sorted by BTreeSet)
position_set.into_iter().collect()
}
#[inline]
fn softmax(&self, scores: &mut [f32]) {
if scores.is_empty() {
return;
}
let max = scores.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let mut sum = 0.0f32;
for s in scores.iter_mut() {
*s = (*s - max).exp();
sum += *s;
}
if sum > 0.0 {
let inv_sum = 1.0 / sum;
for s in scores.iter_mut() {
*s *= inv_sum;
}
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use alloc::vec;
use alloc::vec::Vec;
#[test]
fn test_sparse_mask_creation() {
let mask = SparseMask::empty();
assert_eq!(mask.num_positions(), 0);
assert_eq!(mask.density, 0.0);
let full = SparseMask::full(4);
assert_eq!(full.num_positions(), 10); // 4*5/2 = 10 causal positions
assert_eq!(full.density, 1.0);
}
#[test]
fn test_density_calculation() {
let config = SparsityConfig::default();
let sparse_attn = MincutSparseAttention::new(config);
let gate = GatePacket {
lambda: 100,
lambda_prev: 95,
boundary_edges: 5,
boundary_concentration_q15: 8192,
partition_count: 3,
flags: 0,
};
let density = sparse_attn.calculate_density(&gate);
assert!(density > 0.0 && density <= 1.0);
}
#[test]
fn test_mask_building() {
let config = SparsityConfig::default();
let sparse_attn = MincutSparseAttention::new(config);
let gate = GatePacket {
lambda: 100,
partition_count: 3,
boundary_edges: 5,
..Default::default()
};
let mask = sparse_attn.build_mask(&gate, 32);
assert!(mask.num_positions() > 0);
assert!(mask.density > 0.0 && mask.density <= 1.0);
assert_eq!(mask.partition_boundaries.len(), 3);
}
#[test]
fn test_flops_estimation() {
let config = SparsityConfig::default();
let sparse_attn = MincutSparseAttention::new(config);
let gate = GatePacket {
lambda: 100,
partition_count: 3,
..Default::default()
};
let mask = sparse_attn.build_mask(&gate, 32);
let ratio = sparse_attn.estimated_flops_ratio(&mask, 32);
// Should have some speedup
assert!(ratio < 1.0);
assert!(ratio > 0.0);
}
#[test]
fn test_sparse_attention_computation() {
let config = SparsityConfig::default();
let sparse_attn = MincutSparseAttention::new(config);
let dim = 4;
let seq_len = 8;
// Simple test data
let q: Vec<i8> = vec![1; seq_len * dim];
let k: Vec<i8> = vec![1; seq_len * dim];
let v: Vec<i8> = vec![1; seq_len * dim];
let gate = GatePacket {
lambda: 100,
partition_count: 2,
..Default::default()
};
let mask = sparse_attn.build_mask(&gate, seq_len);
let output = sparse_attn.sparse_attention(&q, &k, &v, &mask, dim, 0.5);
assert_eq!(output.len(), seq_len * dim);
assert!(output.iter().any(|&x| x != 0.0));
}
#[test]
fn test_lambda_based_density() {
let config = SparsityConfig {
lambda_based_density: Some(LambdaDensitySchedule::Threshold {
dense_above_lambda: 150,
}),
..Default::default()
};
let sparse_attn = MincutSparseAttention::new(config);
let gate_low = GatePacket {
lambda: 100,
..Default::default()
};
let density_low = sparse_attn.calculate_density(&gate_low);
assert!(density_low < 0.2);
let gate_high = GatePacket {
lambda: 200,
..Default::default()
};
let density_high = sparse_attn.calculate_density(&gate_high);
assert!(density_high > 0.8);
}
}