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sig_flash_attention.rs
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216 lines (190 loc) · 7.19 KB
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//! Flash Attention on subcarrier data for spatial focus estimation — ADR-041 signal module.
//!
//! Divides subcarriers into 8 groups (tiles). For each frame:
//! Q = current phase (per-group mean), K = previous phase, V = amplitude.
//! Attention score per tile: Q[i]*K[i]/sqrt(d), then softmax normalization.
//! Tracks attention entropy H = -sum(p*log(p)) via EMA smoothing.
//! Low entropy means activity is focused on one spatial zone (Fresnel region).
//!
//! Tiled computation keeps memory O(1) per tile with fixed-size arrays of 8.
//!
//! Events: ATTENTION_PEAK_SC(700), ATTENTION_SPREAD(701), SPATIAL_FOCUS_ZONE(702).
//! Budget: S (standard, < 5ms on ESP32-S3 WASM3).
use libm::{expf, logf, sqrtf};
const N_GROUPS: usize = 8;
const MAX_SC: usize = 32;
const ENTROPY_ALPHA: f32 = 0.15;
const LOG_EPSILON: f32 = 1e-7;
const MAX_ENTROPY: f32 = 2.079; // ln(8)
pub const EVENT_ATTENTION_PEAK_SC: i32 = 700;
pub const EVENT_ATTENTION_SPREAD: i32 = 701;
pub const EVENT_SPATIAL_FOCUS_ZONE: i32 = 702;
/// Flash Attention spatial focus estimator.
pub struct FlashAttention {
prev_group_phases: [f32; N_GROUPS],
attention_weights: [f32; N_GROUPS],
smoothed_entropy: f32,
initialized: bool,
frame_count: u32,
last_peak: usize,
last_centroid: f32,
}
impl FlashAttention {
pub const fn new() -> Self {
Self {
prev_group_phases: [0.0; N_GROUPS],
attention_weights: [0.0; N_GROUPS],
smoothed_entropy: MAX_ENTROPY,
initialized: false, frame_count: 0,
last_peak: 0, last_centroid: 0.0,
}
}
/// Process one frame. Returns (event_id, value) pairs to emit.
pub fn process_frame(&mut self, phases: &[f32], amplitudes: &[f32]) -> &[(i32, f32)] {
let n_sc = phases.len().min(amplitudes.len()).min(MAX_SC);
if n_sc < N_GROUPS { return &[]; }
static mut EVENTS: [(i32, f32); 3] = [(0, 0.0); 3];
// Per-group means for Q and V.
let subs_per = n_sc / N_GROUPS;
let mut q = [0.0f32; N_GROUPS];
let mut v = [0.0f32; N_GROUPS];
for g in 0..N_GROUPS {
let start = g * subs_per;
let end = if g == N_GROUPS - 1 { n_sc } else { start + subs_per };
let count = (end - start) as f32;
let (mut ps, mut as_) = (0.0f32, 0.0f32);
for i in start..end { ps += phases[i]; as_ += amplitudes[i]; }
q[g] = ps / count;
v[g] = as_ / count;
}
if !self.initialized {
for g in 0..N_GROUPS { self.prev_group_phases[g] = q[g]; }
self.initialized = true;
return &[];
}
self.frame_count += 1;
// Attention scores: Q*K/sqrt(d).
let scale = sqrtf(N_GROUPS as f32);
let mut scores = [0.0f32; N_GROUPS];
for g in 0..N_GROUPS { scores[g] = q[g] * self.prev_group_phases[g] / scale; }
// Numerically stable softmax.
let mut max_s = scores[0];
for g in 1..N_GROUPS { if scores[g] > max_s { max_s = scores[g]; } }
let mut exp_sum = 0.0f32;
let mut exp_s = [0.0f32; N_GROUPS];
for g in 0..N_GROUPS {
exp_s[g] = expf(scores[g] - max_s);
exp_sum += exp_s[g];
}
if exp_sum < LOG_EPSILON { exp_sum = LOG_EPSILON; }
for g in 0..N_GROUPS { self.attention_weights[g] = exp_s[g] / exp_sum; }
// Peak group.
let (mut peak_idx, mut peak_w) = (0usize, self.attention_weights[0]);
for g in 1..N_GROUPS {
if self.attention_weights[g] > peak_w {
peak_w = self.attention_weights[g];
peak_idx = g;
}
}
self.last_peak = peak_idx;
// Entropy: H = -sum(p * ln(p)).
let mut entropy = 0.0f32;
for g in 0..N_GROUPS {
let p = self.attention_weights[g];
if p > LOG_EPSILON { entropy -= p * logf(p); }
}
self.smoothed_entropy = ENTROPY_ALPHA * entropy + (1.0 - ENTROPY_ALPHA) * self.smoothed_entropy;
// Weighted centroid.
let mut centroid = 0.0f32;
for g in 0..N_GROUPS { centroid += (g as f32) * self.attention_weights[g]; }
self.last_centroid = centroid;
// Update K for next frame.
for g in 0..N_GROUPS { self.prev_group_phases[g] = q[g]; }
// Emit events.
unsafe {
EVENTS[0] = (EVENT_ATTENTION_PEAK_SC, peak_idx as f32);
EVENTS[1] = (EVENT_ATTENTION_SPREAD, self.smoothed_entropy);
EVENTS[2] = (EVENT_SPATIAL_FOCUS_ZONE, centroid);
&EVENTS[..3]
}
}
pub fn weights(&self) -> &[f32; N_GROUPS] { &self.attention_weights }
pub fn entropy(&self) -> f32 { self.smoothed_entropy }
pub fn peak_group(&self) -> usize { self.last_peak }
pub fn centroid(&self) -> f32 { self.last_centroid }
pub fn frame_count(&self) -> u32 { self.frame_count }
pub fn reset(&mut self) { *self = Self::new(); }
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_const_new() {
let fa = FlashAttention::new();
assert_eq!(fa.frame_count(), 0);
assert_eq!(fa.peak_group(), 0);
}
#[test]
fn test_first_frame_no_events() {
let mut fa = FlashAttention::new();
assert!(fa.process_frame(&[0.5; 32], &[1.0; 32]).is_empty());
}
#[test]
fn test_uniform_attention() {
let mut fa = FlashAttention::new();
let (p, a) = ([1.0f32; 32], [1.0f32; 32]);
fa.process_frame(&p, &a);
let ev = fa.process_frame(&p, &a);
assert_eq!(ev.len(), 3);
for w in fa.weights() { assert!((*w - 0.125).abs() < 0.01); }
}
#[test]
fn test_focused_attention() {
let mut fa = FlashAttention::new();
let a = [1.0f32; 32];
fa.process_frame(&[0.0; 32], &a);
let mut f1 = [0.0f32; 32];
for i in 12..16 { f1[i] = 3.0; }
fa.process_frame(&f1, &a);
let ev = fa.process_frame(&f1, &a);
let peak = ev.iter().find(|e| e.0 == EVENT_ATTENTION_PEAK_SC).unwrap();
assert_eq!(peak.1 as usize, 3);
}
#[test]
fn test_too_few_subcarriers() {
let mut fa = FlashAttention::new();
assert!(fa.process_frame(&[1.0; 4], &[1.0; 4]).is_empty());
}
#[test]
fn test_centroid_range() {
let mut fa = FlashAttention::new();
let (p, a) = ([1.0f32; 32], [1.0f32; 32]);
fa.process_frame(&p, &a);
fa.process_frame(&p, &a);
assert!(fa.centroid() >= 0.0 && fa.centroid() <= 7.0);
}
#[test]
fn test_reset() {
let mut fa = FlashAttention::new();
fa.process_frame(&[1.0; 32], &[1.0; 32]);
fa.process_frame(&[1.0; 32], &[1.0; 32]);
fa.reset();
assert_eq!(fa.frame_count(), 0);
}
#[test]
fn test_entropy_trend() {
let mut fa = FlashAttention::new();
let a = [1.0f32; 32];
fa.process_frame(&[0.0; 32], &a);
fa.process_frame(&[1.0; 32], &a);
let uniform_h = fa.entropy();
fa.reset();
fa.process_frame(&[0.0; 32], &a);
for _ in 0..10 {
let mut f = [0.0f32; 32];
for i in 0..4 { f[i] = 5.0; }
fa.process_frame(&f, &a);
}
assert!(fa.entropy() < uniform_h + 0.5);
}
}