ftts-kernels 0.1.5

CPU kernels and f32 reference numerics for franken_tts (Qwen3-TTS in pure Rust)
Documentation
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//! Int8 W8A8 kernels: symmetric per-output-channel Q8 weights times per-row Q8 activations.
//!
//! This is the Phase-2/3A quantized projection route for the talker and microdecoder GEMMs.
//! The numeric contract is S8S8: weights quantized by the canonical symmetric recipe
//! (`scale = max|row| / 127`, ties-to-even, `[-127, 127]`, `-128` never emitted — identical to
//! `ftts-artifacts::converter::quantize_output_channel_q8`, byte-for-byte, asserted by a
//! cross-crate test in `ftts-model-qwen`), activations quantized dynamically per row with the
//! same recipe. Accumulation is exact i32; the two f32 scales are applied once, after
//! accumulation, in a fixed multiplication order shared by every tier.
//!
//! ## Tier law
//!
//! Every tier of [`dot_i32`] is *exactly equal in i32* to [`Int8Tier::Scalar`] on every input —
//! integer addition is associative, and the overflow selftest proves the all-extreme reduction
//! fits i32 at every census binding K. A tier is only dispatchable after
//! [`crate::selftest::run_selftest`] has executed its all-extreme proof rows through the real
//! kernel function on the running silicon. Do not add a tier here without extending the selftest.
//!
//! Inherited prior NE-INH-003 (re-verify per toolchain): on Apple M4, LLVM autovectorization of
//! the scalar shape beat a hand SDOT micro-tile at m=1. Both routes therefore ship; dispatch
//! preference is decided by measurement (`FTTS_INT8_TIER` forces a route for A/B), never by
//! assumption.

use std::sync::OnceLock;

/// Largest absolute Q8 byte the canonical symmetric recipe emits.
pub const Q8_MAX_ABS: i8 = 127;

/// Weight bytes below which a linear stays on the calling thread even when a team exists.
///
/// Every talker/microdecoder projection (2-12 MB) and the codec's ConvNeXt projections clear
/// this; genuinely small ops don't repay the dispatch handshake.
const TEAM_WORK_THRESHOLD_BYTES: usize = 512 * 1024;

/// Quantizes one row (weight output channel or activation row) with the canonical symmetric
/// Q8 recipe.
///
/// The returned scale is `max(abs(row)) / 127`; all-zero rows use the explicit scale `1.0` and
/// emit zero bytes. Values are clamped to `[-127, 127]` and rounded ties-to-even; `-128` is never
/// emitted. This is the same arithmetic as the offline converter's
/// `quantize_output_channel_q8`, restated here because the artifact crate depends on this one.
///
/// # Panics
///
/// Panics if `output.len() != row.len()` or a value is non-finite. A NaN/inf activation reaching
/// the quantizer means the f32 graph upstream is already corrupt; refusing loudly here beats
/// synthesizing garbage audio quietly.
pub fn quantize_row_q8(row: &[f32], output: &mut [i8]) -> f32 {
    assert_eq!(output.len(), row.len(), "quantize output length mismatch");
    let mut maximum = 0.0_f32;
    for (index, &value) in row.iter().enumerate() {
        assert!(
            value.is_finite(),
            "non-finite value {value} at index {index} reached the Q8 quantizer"
        );
        maximum = maximum.max(value.abs());
    }
    if maximum == 0.0 {
        output.fill(0);
        return 1.0;
    }
    let scale = maximum / 127.0;
    if scale == 0.0 {
        // A subnormal maximum can flush the division to zero; value/scale would then be inf or
        // NaN. A row this close to zero rounds to the zero row it effectively is.
        output.fill(0);
        return 1.0;
    }
    for (&value, slot) in row.iter().zip(output.iter_mut()) {
        let rounded = (value / scale).clamp(-127.0, 127.0).round_ties_even();
        // The clamp bounds the conversion inside i8, and the symmetric contract additionally
        // excludes the otherwise-representable -128.
        *slot = rounded as i8;
    }
    scale
}

/// A weight matrix quantized with per-output-channel symmetric Q8 scales.
///
/// Layout is the `nn.Linear` layout the checkpoint stores: `data` is `[n, k]` row-major with one
/// f32 scale per output row. Quantized once at hydration; the borrowed f32 tensor is untouched.
#[derive(Clone, Debug)]
pub struct QuantizedMatrix {
    /// Q8 bytes, `[n, k]` row-major, each value in `[-127, 127]`.
    pub data: Vec<i8>,
    /// One symmetric scale per output row, `[n]`.
    pub scales: Vec<f32>,
    /// Output rows.
    pub n: usize,
    /// Reduction length of one output element.
    pub k: usize,
}

impl QuantizedMatrix {
    /// Stacks matrices with a shared reduction length into one taller matrix.
    ///
    /// Row bytes and scales are byte-identical to quantizing each part separately — this exists
    /// so fused projections (QKV, gate‖up) can run as ONE kernel dispatch while every output
    /// row keeps exactly the per-channel quantization it would have had alone.
    ///
    /// # Panics
    ///
    /// Panics if the parts disagree on `k` or the list is empty.
    #[must_use]
    pub fn concat_rows(parts: &[&Self]) -> Self {
        let k = parts.first().expect("at least one part").k;
        assert!(parts.iter().all(|part| part.k == k), "parts must share k");
        let n = parts.iter().map(|part| part.n).sum();
        let mut data = Vec::with_capacity(n * k);
        let mut scales = Vec::with_capacity(n);
        for part in parts {
            data.extend_from_slice(&part.data);
            scales.extend_from_slice(&part.scales);
        }
        Self { data, scales, n, k }
    }

    /// Quantizes an `[n, k]` f32 weight matrix one output channel at a time.
    ///
    /// # Panics
    ///
    /// Panics if `weight.len() != n * k` or any value is non-finite.
    #[must_use]
    pub fn quantize(weight: &[f32], n: usize, k: usize) -> Self {
        assert_eq!(weight.len(), n * k, "weight must be [n, k]");
        let mut data = vec![0_i8; n * k];
        let mut scales = vec![0.0_f32; n];
        for ((weight_row, data_row), scale) in weight
            .chunks_exact(k)
            .zip(data.chunks_exact_mut(k))
            .zip(scales.iter_mut())
        {
            *scale = quantize_row_q8(weight_row, data_row);
        }
        Self { data, scales, n, k }
    }
}

/// An executable int8 dot-product route.
///
/// Every variant is exactly equal in i32 to `Scalar` on every input. `NeonSdot` exists only on
/// aarch64 builds with the `neon-dotprod` feature and is dispatchable only where the CPU reports
/// FEAT_DotProd at runtime.
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub enum Int8Tier {
    /// Portable left-to-right checked-free scalar loop; the reference every tier must equal.
    Scalar,
    /// Portable eight-lane loop, retained ONLY as an A/B datapoint: measured ~15x SLOWER than
    /// `Scalar` at m=1 on M4 Pro (NE-001) — the manual lane structure defeats LLVM's
    /// autovectorizer, while the plain `Scalar` shape vectorizes to memory bandwidth. Never the
    /// dispatch default.
    Autovec,
    /// Hand SDOT island (aarch64 + FEAT_DotProd), four 16-byte accumulator streams.
    NeonSdot,
    /// Hand SIMD128 island (wasm32 + `simd128`), four 16-byte accumulator streams.
    ///
    /// The browser's equivalent of [`Self::NeonSdot`]. Unlike aarch64, wasm has no int8 dot for
    /// the autovectorizer to find, so without this tier a browser runs the byte-at-a-time
    /// `Scalar` loop.
    WasmSimd128,
}

impl Int8Tier {
    /// Stable machine-readable route name.
    #[must_use]
    pub const fn as_str(self) -> &'static str {
        match self {
            Self::Scalar => "scalar",
            Self::Autovec => "autovec",
            Self::NeonSdot => "neon-sdot",
            Self::WasmSimd128 => "wasm-simd128",
        }
    }

    /// Every tier this build can execute on the running silicon, scalar first.
    #[must_use]
    pub fn available() -> Vec<Self> {
        let mut tiers = vec![Self::Scalar, Self::Autovec];
        if neon_sdot_available() {
            tiers.push(Self::NeonSdot);
        }
        if wasm_simd128_available() {
            tiers.push(Self::WasmSimd128);
        }
        tiers
    }

    /// The route the int8 path dispatches by default, honoring the `FTTS_INT8_TIER` override.
    ///
    /// The override exists for interleaved A/B measurement (`scalar` / `autovec` / `neon-sdot`);
    /// an unavailable or unrecognized override falls back to the measured default rather than
    /// panicking mid-synthesis. Until a per-shape KernelPlan lands, the default is `NeonSdot`
    /// where FEAT_DotProd exists, else `Scalar`. Measured on M4 Pro (2026-08-08, shape bench,
    /// noisy shared host, indicative): plain `Scalar` autovectorizes to ~50 GB/s and ties SDOT
    /// at m=1 — NE-INH-003 reconfirmed — while the hand-shaped `Autovec` lane loop defeats the
    /// vectorizer and loses ~15x; it stays only as an A/B datapoint.
    #[must_use]
    pub fn dispatch() -> Self {
        // wasm32 first and without consulting the environment: there are no environment variables
        // in a browser, and unlike aarch64 the fallback here is not a vectorized scalar loop but a
        // byte-at-a-time one, so the island is the only route worth dispatching.
        if wasm_simd128_available() {
            return Self::WasmSimd128;
        }
        match std::env::var("FTTS_INT8_TIER").as_deref() {
            Ok("scalar") => Self::Scalar,
            Ok("autovec") => Self::Autovec,
            Ok("neon-sdot") if neon_sdot_available() => Self::NeonSdot,
            _ if neon_sdot_available() => Self::NeonSdot,
            _ => Self::Scalar,
        }
    }
}

/// Which quantized linear op class the armed route runs.
///
/// `W8A8` quantizes activations per row and uses the exact-i32 int8 dot — fastest, but the
/// activation rounding perturbs logits enough that seeded sampling can draw different tokens
/// than f32. `W8A16` keeps activations f32 and dequantizes weights in-register — the same
/// one-byte-per-weight memory traffic, no activation error, so the output tracks the f32
/// reference much more closely. Its f32 accumulation is lane-ordered (not the reference's
/// left-to-right order): this is a lossy route already, so reduction-order freedom is part of
/// the deal, and the fidelity gate is measured downstream, not asserted bitwise.
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub enum QuantLinearMode {
    /// Int8 activations times int8 weights, exact i32 accumulation.
    W8A8(Int8Tier),
    /// f32 activations times dequantized int8 weights, lane-ordered f32 accumulation.
    W8A16,
}

impl QuantLinearMode {
    /// Stable machine-readable mode name.
    #[must_use]
    pub const fn as_str(self) -> &'static str {
        match self {
            Self::W8A8(_) => "w8a8",
            Self::W8A16 => "w8a16",
        }
    }
}

/// W8A16 linear: f32 activations `[m, k]` times a [`QuantizedMatrix`] `[n, k]` producing
/// f32 `[m, n]`.
///
/// Eight independent f32 FMA lanes per dot product, weights widened from i8 in-register; the
/// per-output-channel scale multiplies once after accumulation, mirroring the W8A8 dequant
/// order. Weight-stationary loop, like [`linear_q8`].
///
/// # Panics
///
/// Panics on any shape mismatch.
pub fn linear_w8a16(
    x: &[f32],
    weight: &QuantizedMatrix,
    bias: Option<&[f32]>,
    m: usize,
    out: &mut [f32],
) {
    let (n, k) = (weight.n, weight.k);
    assert_eq!(x.len(), m * k, "x must be [m, k]");
    assert_eq!(out.len(), m * n, "out must be [m, n]");
    if let Some(bias) = bias {
        assert_eq!(bias.len(), n, "bias must be [n]");
    }
    for col in 0..n {
        let w_row = &weight.data[col * k..(col + 1) * k];
        let w_scale = weight.scales[col];
        let bias_term = bias.map(|b| b[col]);
        for row in 0..m {
            let x_row = &x[row * k..(row + 1) * k];
            let acc = dot_w8a16(x_row, w_row);
            let value = acc * w_scale;
            out[row * n + col] = bias_term.map_or(value, |b| value + b);
        }
    }
}

/// Eight-lane f32 dot of an f32 row against an i8 weight row, widened in-register.
fn dot_w8a16(x: &[f32], w: &[i8]) -> f32 {
    const LANES: usize = 8;
    let mut lanes = [0.0_f32; LANES];
    let chunks = x.len() / LANES;
    for chunk in 0..chunks {
        let base = chunk * LANES;
        for lane in 0..LANES {
            lanes[lane] = f32::from(w[base + lane]).mul_add(x[base + lane], lanes[lane]);
        }
    }
    let mut sum: f32 = lanes.iter().sum();
    for index in chunks * LANES..x.len() {
        sum = f32::from(w[index]).mul_add(x[index], sum);
    }
    sum
}

/// The armed quantized-linear mode for the talker/microdecoder route.
///
/// `FTTS_INT8=1` or `w8a8` selects the int8-dot route; `FTTS_INT8=w8a16` selects the
/// weight-only route. Anything else means the caller should not be arming quantization at all
/// (the kill-switch check happens before this is consulted).
#[must_use]
pub fn quant_mode_from_environment() -> QuantLinearMode {
    match std::env::var("FTTS_INT8").as_deref() {
        Ok("w8a16") => QuantLinearMode::W8A16,
        _ => QuantLinearMode::W8A8(autotuned_plan().decode_gemv),
    }
}

/// Runs one quantized linear in the selected mode; the drop-in used by the armed model paths.
pub fn quant_linear(
    mode: QuantLinearMode,
    x: &[f32],
    weight: &QuantizedMatrix,
    bias: Option<&[f32]>,
    m: usize,
    out: &mut [f32],
) {
    match mode {
        QuantLinearMode::W8A8(tier) => linear_q8_dynamic(x, weight, bias, m, out, tier),
        QuantLinearMode::W8A16 => linear_w8a16(x, weight, bias, m, out),
    }
}

/// The measured per-regime route assignment, decided once per process.
///
/// v0 of the KernelPlan: two regimes, no persistence (`.fttspack` owns that when it lands).
/// Safe to decide by noisy measurement because every tier produces bit-identical output — a
/// wrong pick costs microseconds, never correctness.
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub struct KernelPlanV0 {
    /// Route for m=1 decode GEMVs (the talker/microdecoder step shape).
    pub decode_gemv: Int8Tier,
    /// Route for batched GEMMs (prefill, seq-16 verify, offline codec).
    pub batch_gemm: Int8Tier,
}

/// Measures each available tier at the two live regimes and returns the winners.
///
/// Decided once per process and cached. `FTTS_INT8_TIER` overrides both regimes — the A/B
/// override must pin the route it names, not merely suggest it. Cost: a few milliseconds of
/// synthetic dots at the model's real reduction lengths.
pub fn autotuned_plan() -> KernelPlanV0 {
    static PLAN: OnceLock<KernelPlanV0> = OnceLock::new();
    *PLAN.get_or_init(|| {
        // wasm32 is pinned, never measured: `Instant::now` panics as `unreachable` there (no
        // monotonic clock in std — exactly how the browser playground's first synthesize died),
        // and there is nothing to choose between anyway. `dispatch()` names the SIMD128 island
        // when it is compiled in, which it is for every browser build; an earlier revision of
        // this pinned `Scalar` on the grounds that no other tier existed on wasm, and that
        // sentence stopped being true the moment the island landed — leaving the fast kernel
        // built, dispatchable, and never dispatched.
        #[cfg(target_arch = "wasm32")]
        {
            let tier = Int8Tier::dispatch();
            KernelPlanV0 {
                decode_gemv: tier,
                batch_gemm: tier,
            }
        }
        #[cfg(not(target_arch = "wasm32"))]
        {
            if std::env::var("FTTS_INT8_TIER").is_ok() {
                let forced = Int8Tier::dispatch();
                return KernelPlanV0 {
                    decode_gemv: forced,
                    batch_gemm: forced,
                };
            }
            if let Some(cached) = load_persisted_plan() {
                return cached;
            }
            let plan = KernelPlanV0 {
                // Talker/microdecoder decode: one activation row against tall matrices; K = 1024
                // and 3072 are the real reduction lengths, 256 output rows keep the probe cheap
                // while streaming enough weight bytes to reach the bandwidth regime.
                decode_gemv: fastest_tier(&[(1, 1024, 256), (1, 3072, 256)]),
                // Verify/prefill/codec batches: sixteen rows, same reduction lengths.
                batch_gemm: fastest_tier(&[(16, 1024, 128), (16, 3072, 64)]),
            };
            persist_plan(plan);
            plan
        }
    })
}

/// Where the measured plan is cached between runs: the pre-`.fttspack` v0 of the per-machine
/// execution cache. Losing or corrupting this file only costs a re-measurement.
fn plan_cache_path() -> Option<std::path::PathBuf> {
    std::env::var_os("HOME")
        .map(|home| std::path::PathBuf::from(home).join(".cache/franken_tts/kernel_plan_v0.txt"))
}

/// The cache key: anything here changing invalidates the measurement.
fn plan_cache_key() -> String {
    let tiers: Vec<&str> = Int8Tier::available().iter().map(|t| t.as_str()).collect();
    format!(
        "v0|crate={}|tiers={}",
        env!("CARGO_PKG_VERSION"),
        tiers.join(",")
    )
}

fn load_persisted_plan() -> Option<KernelPlanV0> {
    // A valid plan file is three short lines; reading it bounded keeps a corrupt or hostile
    // multi-gigabyte file at this user-writable path from ballooning the process.
    let text = {
        use std::io::Read as _;
        let mut text = String::new();
        let file = std::fs::File::open(plan_cache_path()?).ok()?;
        file.take(512).read_to_string(&mut text).ok()?;
        text
    };
    let mut lines = text.lines();
    if lines.next()? != plan_cache_key() {
        return None;
    }
    let parse = |line: &str| match line {
        "scalar" => Some(Int8Tier::Scalar),
        "autovec" => Some(Int8Tier::Autovec),
        "neon-sdot" if neon_sdot_available() => Some(Int8Tier::NeonSdot),
        _ => None,
    };
    Some(KernelPlanV0 {
        decode_gemv: parse(lines.next()?)?,
        batch_gemm: parse(lines.next()?)?,
    })
}

fn persist_plan(plan: KernelPlanV0) {
    let Some(path) = plan_cache_path() else {
        return;
    };
    if let Some(parent) = path.parent() {
        let _ = std::fs::create_dir_all(parent);
    }
    // Best-effort: an unwritable cache directory must never fail synthesis.
    let _ = std::fs::write(
        path,
        format!(
            "{}\n{}\n{}\n",
            plan_cache_key(),
            plan.decode_gemv.as_str(),
            plan.batch_gemm.as_str()
        ),
    );
}

/// Times every available tier over the given `(m, k, n)` probes; median of three rounds each,
/// summed across probes, smallest total wins. Ties break toward the earlier tier in
/// [`Int8Tier::available`] order (scalar first — the simpler route).
fn fastest_tier(probes: &[(usize, usize, usize)]) -> Int8Tier {
    use std::time::Instant;
    let tiers = Int8Tier::available();
    let mut best = (tiers[0], f64::MAX);
    for &tier in &tiers {
        let mut total = 0.0_f64;
        for &(m, k, n) in probes {
            // Shifted into [-127, 127]: `as i8` alone wraps 128..=254 to -128..=-2, and -128 is
            // outside the pinned S8S8 contract this same file declares.
            let x_q: Vec<i8> = (0..m * k)
                .map(|i| (((i * 37 + 11) % 255) as i32 - 127) as i8)
                .collect();
            let x_scales = vec![1.0_f32; m];
            let weight = QuantizedMatrix {
                data: (0..n * k)
                    .map(|i| (((i * 29 + 5) % 255) as i32 - 127) as i8)
                    .collect(),
                scales: vec![1.0_f32; n],
                n,
                k,
            };
            let mut out = vec![0.0_f32; m * n];
            let mut rounds: Vec<f64> = (0..3)
                .map(|_| {
                    let start = Instant::now();
                    linear_q8(&x_q, &x_scales, &weight, None, m, &mut out, tier);
                    start.elapsed().as_secs_f64()
                })
                .collect();
            rounds.sort_by(f64::total_cmp);
            total += rounds[1];
        }
        if total < best.1 {
            best = (tier, total);
        }
    }
    best.0
}

/// Whether the SDOT island is compiled in and the CPU reports FEAT_DotProd.
#[must_use]
pub fn neon_sdot_available() -> bool {
    #[cfg(all(target_arch = "aarch64", feature = "neon-dotprod"))]
    {
        neon_dotprod::available()
    }
    #[cfg(not(all(target_arch = "aarch64", feature = "neon-dotprod")))]
    {
        false
    }
}

/// Whether the SIMD128 island is compiled in.
///
/// Compile-time only, deliberately: `simd128` is a wasm target feature, so a module built with it
/// either instantiates on an engine that has it or is refused outright. There is no partial
/// support to detect at runtime the way FEAT_DotProd must be.
#[must_use]
pub fn wasm_simd128_available() -> bool {
    cfg!(all(target_arch = "wasm32", target_feature = "simd128"))
}

/// Exact i32 dot product of two Q8 rows over the selected route.
///
/// # Panics
///
/// Panics if the lengths differ, or if `NeonSdot` is requested where it is not executable.
#[must_use]
pub fn dot_i32(a: &[i8], b: &[i8], tier: Int8Tier) -> i32 {
    assert_eq!(a.len(), b.len(), "int8 dot inputs must match");
    match tier {
        Int8Tier::Scalar => dot_i32_scalar(a, b),
        Int8Tier::Autovec => dot_i32_autovec(a, b),
        Int8Tier::NeonSdot => dot_i32_neon_or_panic(a, b),
        Int8Tier::WasmSimd128 => dot_i32_wasm_or_panic(a, b),
    }
}

#[cfg(all(target_arch = "wasm32", target_feature = "simd128"))]
fn dot_i32_wasm_or_panic(a: &[i8], b: &[i8]) -> i32 {
    wasm_simd128::dot_i32(a, b)
}

#[cfg(not(all(target_arch = "wasm32", target_feature = "simd128")))]
fn dot_i32_wasm_or_panic(_a: &[i8], _b: &[i8]) -> i32 {
    panic!("wasm-simd128 route selected on a build without the island");
}

#[cfg(all(target_arch = "aarch64", feature = "neon-dotprod"))]
fn dot_i32_neon_or_panic(a: &[i8], b: &[i8]) -> i32 {
    assert!(
        neon_dotprod::available(),
        "neon-sdot route selected without FEAT_DotProd"
    );
    neon_dotprod::dot_i32(a, b)
}

#[cfg(not(all(target_arch = "aarch64", feature = "neon-dotprod")))]
fn dot_i32_neon_or_panic(_a: &[i8], _b: &[i8]) -> i32 {
    panic!("neon-sdot route selected on a build without the island");
}

fn dot_i32_scalar(a: &[i8], b: &[i8]) -> i32 {
    let mut sum = 0_i32;
    for index in 0..a.len() {
        sum += i32::from(a[index]) * i32::from(b[index]);
    }
    sum
}

/// Eight independent i32 lanes over fixed-width chunks; LLVM autovectorizes this shape into
/// widening multiply-accumulate sequences (and SDOT where the target baseline carries it).
/// Integer addition is associative, so the result is exactly [`dot_i32_scalar`]'s.
fn dot_i32_autovec(a: &[i8], b: &[i8]) -> i32 {
    const LANES: usize = 8;
    let mut lanes = [0_i32; LANES];
    let chunks = a.len() / LANES;
    for chunk in 0..chunks {
        let base = chunk * LANES;
        for lane in 0..LANES {
            lanes[lane] += i32::from(a[base + lane]) * i32::from(b[base + lane]);
        }
    }
    let mut sum: i32 = lanes.iter().sum();
    for index in chunks * LANES..a.len() {
        sum += i32::from(a[index]) * i32::from(b[index]);
    }
    sum
}

#[cfg(all(target_arch = "aarch64", feature = "neon-dotprod"))]
mod neon_dotprod {
    //! The audited SDOT island. Named per the crate law: feature-gated, runtime-detected,
    //! bit-identical scalar fallback in the parent module, every load bounds-checked by loop
    //! structure, every unsafe operation carrying a SAFETY note.

    use core::arch::aarch64::{vaddq_s32, vaddvq_s32, vdotq_s32, vdupq_n_s32, vld1q_s8};

    /// Whether the running CPU reports FEAT_DotProd.
    #[must_use]
    pub fn available() -> bool {
        std::arch::is_aarch64_feature_detected!("dotprod")
    }

    /// Exact i32 dot product via SDOT, four accumulator streams over 64-byte blocks.
    ///
    /// # Panics
    ///
    /// Panics (in the caller) unless [`available`] returned true; lengths are asserted equal by
    /// [`super::dot_i32`].
    #[must_use]
    pub fn dot_i32(a: &[i8], b: &[i8]) -> i32 {
        debug_assert!(available(), "SDOT island entered without FEAT_DotProd");
        // SAFETY: `dot_i32_sdot` requires NEON + FEAT_DotProd, which `available()` has confirmed
        // on this CPU at every dispatch site (asserted in `super::dot_i32`, debug-asserted here).
        unsafe { dot_i32_sdot(a, b) }
    }

    // SAFETY: callers must have confirmed FEAT_DotProd via `available()` — the sole caller
    // `dot_i32` above does, and `super::dot_i32` asserts it at the dispatch site. All loads are
    // bounded by `a.len()`, which the caller asserts equals `b.len()`, and the tail is handled
    // scalar-side, so no read passes either slice's end.
    #[target_feature(enable = "neon,dotprod")]
    unsafe fn dot_i32_sdot(a: &[i8], b: &[i8]) -> i32 {
        let len = a.len();
        let a_ptr = a.as_ptr();
        let b_ptr = b.as_ptr();
        let mut acc0 = vdupq_n_s32(0);
        let mut acc1 = vdupq_n_s32(0);
        let mut acc2 = vdupq_n_s32(0);
        let mut acc3 = vdupq_n_s32(0);
        let mut index = 0_usize;
        while index + 64 <= len {
            // SAFETY: `index + 64 <= len` bounds all four 16-byte loads inside both slices,
            // whose lengths are equal by the caller's assertion. `vld1q_s8` has no alignment
            // requirement beyond byte alignment.
            unsafe {
                acc0 = vdotq_s32(acc0, vld1q_s8(a_ptr.add(index)), vld1q_s8(b_ptr.add(index)));
                acc1 = vdotq_s32(
                    acc1,
                    vld1q_s8(a_ptr.add(index + 16)),
                    vld1q_s8(b_ptr.add(index + 16)),
                );
                acc2 = vdotq_s32(
                    acc2,
                    vld1q_s8(a_ptr.add(index + 32)),
                    vld1q_s8(b_ptr.add(index + 32)),
                );
                acc3 = vdotq_s32(
                    acc3,
                    vld1q_s8(a_ptr.add(index + 48)),
                    vld1q_s8(b_ptr.add(index + 48)),
                );
            }
            index += 64;
        }
        while index + 16 <= len {
            // SAFETY: `index + 16 <= len` bounds this 16-byte load inside both slices.
            unsafe {
                acc0 = vdotq_s32(acc0, vld1q_s8(a_ptr.add(index)), vld1q_s8(b_ptr.add(index)));
            }
            index += 16;
        }
        let mut sum = vaddvq_s32(vaddq_s32(vaddq_s32(acc0, acc1), vaddq_s32(acc2, acc3)));
        while index < len {
            sum += i32::from(a[index]) * i32::from(b[index]);
            index += 1;
        }
        sum
    }
}

#[cfg(all(target_arch = "wasm32", target_feature = "simd128"))]
mod wasm_simd128 {
    //! The audited SIMD128 island — the browser's counterpart to the SDOT one above.
    //!
    //! Why this exists at all: on wasm32 the dispatch fell through to `Scalar`, and NE-001's
    //! finding that the scalar shape "vectorizes to memory bandwidth" is an *aarch64* result that
    //! does not transfer. wasm SIMD128 has no int8 dot instruction for LLVM to pattern-match, so
    //! the autovectorizer has nothing to reach for and the browser ran a byte-at-a-time loop.
    //!
    //! The instruction that replaces it is `i32x4.dot_i16x8_s`: eight i16 products summed
    //! pairwise into four i32 lanes, one op. Feed it from `i16x8.extend_low/high_i8x16_s` and a
    //! 16-byte block of int8 costs two widenings per operand, two dots and two adds.
    //!
    //! Exactness is free here and that is the point: every product of two `i8` fits `i16`, every
    //! pairwise sum fits `i32`, and integer addition is associative — so lane order, accumulator
    //! count and reduction order cannot change the result. This tier is *equal* to `Scalar` in
    //! i32, not merely close, which is what lets it share the parent module's tier-equality test.
    //!
    //! Overflow carries no new obligation: the bound is unchanged from the scalar path at the
    //! model's real worst-case K (3072 → |sum| ≤ 3072 × 127² ≈ 49.5M, ~43× inside i32).
    //!
    //! No runtime detection: `simd128` is a compile-time target feature, and a browser without it
    //! refuses the module outright rather than mis-executing. Every engine this ships to has had
    //! it for years (Safari 16.4 / iOS 16.4 being the last holdout).

    use core::arch::wasm32::{
        i16x8_extend_high_i8x16, i16x8_extend_low_i8x16, i32x4_add, i32x4_dot_i16x8,
        i32x4_extract_lane, i32x4_splat, v128, v128_load,
    };

    /// Exact i32 dot product via `i32x4.dot_i16x8_s`, four accumulator streams over 64-byte
    /// blocks.
    #[must_use]
    pub fn dot_i32(a: &[i8], b: &[i8]) -> i32 {
        // SAFETY: every load below is bounded by the loop conditions against `len`, and the two
        // slices are asserted equal in length by `super::dot_i32`. `v128_load` requires no
        // alignment beyond the byte alignment an `&[i8]` already guarantees.
        unsafe { dot_i32_simd128(a, b) }
    }

    /// Accumulates one 16-byte block of each operand into `acc`.
    ///
    /// # Safety
    ///
    /// `a` and `b` must each be valid for a 16-byte read.
    // SAFETY: the contract above is discharged at both call sites, where the block loop runs only
    // while `offset + 16 <= len` and `len` is the asserted-common length of the two slices.
    #[inline]
    unsafe fn accumulate_block(acc: v128, a: *const i8, b: *const i8) -> v128 {
        // SAFETY: the caller guarantees both pointers address 16 readable bytes.
        let (left, right) = unsafe { (v128_load(a.cast()), v128_load(b.cast())) };
        let low = i32x4_dot_i16x8(i16x8_extend_low_i8x16(left), i16x8_extend_low_i8x16(right));
        let high = i32x4_dot_i16x8(
            i16x8_extend_high_i8x16(left),
            i16x8_extend_high_i8x16(right),
        );
        i32x4_add(acc, i32x4_add(low, high))
    }

    /// Four output columns per pass, sharing one widening of the activation.
    ///
    /// Loop order stays weight-stationary — four weight rows are streamed once and reused across
    /// all `m` activation rows — so this keeps the property the serial form was written for while
    /// removing the redundant activation widening a per-column dot repeats `n` times.
    pub fn linear_blocked(
        x_q: &[i8],
        x_scales: &[f32],
        weight: &super::QuantizedMatrix,
        bias: Option<&[f32]>,
        m: usize,
        out: &mut [f32],
    ) {
        let (n, k) = (weight.n, weight.k);
        let mut col = 0;
        while col + 4 <= n {
            for row in 0..m {
                let x_row = &x_q[row * k..(row + 1) * k];
                // SAFETY: `col + 4 <= n` bounds all four weight rows inside `weight.data`, whose
                // length is `n * k` by the type's invariant.
                let acc = unsafe { dot4_simd128(x_row, &weight.data[col * k..], k) };
                for (lane, accumulated) in acc.iter().enumerate() {
                    let column = col + lane;
                    #[allow(clippy::cast_precision_loss)]
                    let value = *accumulated as f32 * (x_scales[row] * weight.scales[column]);
                    out[row * n + column] = bias.map_or(value, |values| value + values[column]);
                }
            }
            col += 4;
        }
        // Columns past the last full block of four fall back to the single-column kernel.
        while col < n {
            let w_row = &weight.data[col * k..(col + 1) * k];
            for row in 0..m {
                let x_row = &x_q[row * k..(row + 1) * k];
                #[allow(clippy::cast_precision_loss)]
                let value = dot_i32(x_row, w_row) as f32 * (x_scales[row] * weight.scales[col]);
                out[row * n + col] = bias.map_or(value, |values| value + values[col]);
            }
            col += 1;
        }
    }

    /// Dots one activation row against four consecutive weight rows.
    ///
    /// # Safety
    ///
    /// `weights` must be valid for `4 * k` readable bytes and `x` for `k`.
    // SAFETY: the caller enters this path only when four whole weight rows remain (`col + 4 <= n`)
    // and slices `weights` at `col * k` for `4 * k` bytes, with `x` the full k-length activation
    // row; every load below is bounded by `index < k` against those same lengths.
    unsafe fn dot4_simd128(x: &[i8], weights: &[i8], k: usize) -> [i32; 4] {
        let x_ptr = x.as_ptr();
        let w_ptr = weights.as_ptr();
        let mut acc = [i32x4_splat(0); 4];
        let mut index = 0_usize;
        while index + 16 <= k {
            // SAFETY: `index + 16 <= k` bounds the activation load, and each weight row starts at
            // `lane * k` inside a region the caller guarantees is `4 * k` long.
            let (low, high) = unsafe {
                let block = v128_load(x_ptr.add(index).cast());
                (
                    i16x8_extend_low_i8x16(block),
                    i16x8_extend_high_i8x16(block),
                )
            };
            for (lane, accumulator) in acc.iter_mut().enumerate() {
                // SAFETY: same bound, offset into this lane's weight row.
                let w = unsafe { v128_load(w_ptr.add(lane * k + index).cast()) };
                let products = i32x4_add(
                    i32x4_dot_i16x8(low, i16x8_extend_low_i8x16(w)),
                    i32x4_dot_i16x8(high, i16x8_extend_high_i8x16(w)),
                );
                *accumulator = i32x4_add(*accumulator, products);
            }
            index += 16;
        }
        let mut sums = [0_i32; 4];
        for (lane, sum) in sums.iter_mut().enumerate() {
            let total = acc[lane];
            *sum = i32x4_extract_lane::<0>(total)
                + i32x4_extract_lane::<1>(total)
                + i32x4_extract_lane::<2>(total)
                + i32x4_extract_lane::<3>(total);
            for tail in index..k {
                // SAFETY: `tail < k` indexes inside this lane's weight row.
                let w = unsafe { *w_ptr.add(lane * k + tail) };
                *sum += i32::from(x[tail]) * i32::from(w);
            }
        }
        sums
    }

    /// # Safety
    ///
    /// `a` and `b` must have equal length; the caller asserts this.
    // SAFETY: `super::dot_i32` asserts the two lengths are equal before dispatching here, and the
    // only other caller is the public `dot_i32` wrapper directly above, which forwards the same
    // pair. Every block load is guarded by `offset + 64 <= len` and the remainder runs scalar.
    unsafe fn dot_i32_simd128(a: &[i8], b: &[i8]) -> i32 {
        let len = a.len();
        let a_ptr = a.as_ptr();
        let b_ptr = b.as_ptr();
        let mut acc0 = i32x4_splat(0);
        let mut acc1 = i32x4_splat(0);
        let mut acc2 = i32x4_splat(0);
        let mut acc3 = i32x4_splat(0);
        let mut index = 0_usize;
        // Four independent streams so the dependent-add latency of one does not stall the next,
        // mirroring the SDOT island's blocking.
        while index + 64 <= len {
            // SAFETY: `index + 64 <= len` bounds all four 16-byte loads inside both slices.
            unsafe {
                acc0 = accumulate_block(acc0, a_ptr.add(index), b_ptr.add(index));
                acc1 = accumulate_block(acc1, a_ptr.add(index + 16), b_ptr.add(index + 16));
                acc2 = accumulate_block(acc2, a_ptr.add(index + 32), b_ptr.add(index + 32));
                acc3 = accumulate_block(acc3, a_ptr.add(index + 48), b_ptr.add(index + 48));
            }
            index += 64;
        }
        while index + 16 <= len {
            // SAFETY: `index + 16 <= len` bounds this 16-byte load inside both slices.
            unsafe {
                acc0 = accumulate_block(acc0, a_ptr.add(index), b_ptr.add(index));
            }
            index += 16;
        }
        let total = i32x4_add(i32x4_add(acc0, acc1), i32x4_add(acc2, acc3));
        let mut sum = i32x4_extract_lane::<0>(total)
            + i32x4_extract_lane::<1>(total)
            + i32x4_extract_lane::<2>(total)
            + i32x4_extract_lane::<3>(total);
        while index < len {
            sum += i32::from(a[index]) * i32::from(b[index]);
            index += 1;
        }
        sum
    }
}

/// W8A8 linear: quantized activations `[m, k]` times a [`QuantizedMatrix`] `[n, k]`, producing
/// f32 `[m, n]`.
///
/// `x_scales` carries one dynamic activation scale per row of `x_q`. The i32 accumulator is
/// exact on every tier; dequantization applies `acc as f32 * (x_scale * w_scale)` in exactly
/// that order on every tier, so the f32 output of any two tiers is bit-identical, not merely
/// close. Bias (only `text_projection` carries one) is added after dequantization.
///
/// # Panics
///
/// Panics on any shape mismatch.
#[allow(clippy::too_many_arguments)]
pub fn linear_q8(
    x_q: &[i8],
    x_scales: &[f32],
    weight: &QuantizedMatrix,
    bias: Option<&[f32]>,
    m: usize,
    out: &mut [f32],
    tier: Int8Tier,
) {
    let (n, k) = (weight.n, weight.k);
    assert_eq!(x_q.len(), m * k, "x_q must be [m, k]");
    assert_eq!(x_scales.len(), m, "x_scales must be [m]");
    assert_eq!(out.len(), m * n, "out must be [m, n]");
    if let Some(bias) = bias {
        assert_eq!(bias.len(), n, "bias must be [n]");
    }
    // Large operations fan out across the persistent team when one exists; the partitioned
    // result is bit-identical per element, so this is purely a speed dispatch. Small matrices
    // stay serial — the dispatch handshake would cost more than the work.
    if n * k >= TEAM_WORK_THRESHOLD_BYTES
        && !crate::team::thread_bypassed()
        && let Some(team) = crate::team::armed()
    {
        team.linear_q8(x_q, x_scales, weight, bias, m, out, tier);
        return;
    }

    // Weight-stationary loop order: each Q8 weight row is streamed exactly once and reused
    // across all m activation rows, so an m>1 call (prefill, the seq-16 verify pass) does not
    // re-read the whole matrix m times. Each output element's dot product is unchanged, so this
    // ordering is bit-identical to the m-outer form.
    // wasm has no int8 dot instruction, so a lone dot spends four of its eight ops per 16 bytes
    // just widening i8 to i16 — and half of that widening is the *activation*, which is identical
    // for every output column. Computing four columns per pass hoists it: 26 ops for 64 MACs
    // instead of 32, which is the register-blocking lever the doctrine warns is the real one
    // ("the instruction is not the lever; the blocking is"). Bit-identical by construction — the
    // same per-element i32 dot, only the loop nest changes.
    #[cfg(all(target_arch = "wasm32", target_feature = "simd128"))]
    if matches!(tier, Int8Tier::WasmSimd128) {
        wasm_simd128::linear_blocked(x_q, x_scales, weight, bias, m, out);
        return;
    }

    for col in 0..n {
        let w_row = &weight.data[col * k..(col + 1) * k];
        let w_scale = weight.scales[col];
        let bias_term = bias.map(|b| b[col]);
        for row in 0..m {
            let x_row = &x_q[row * k..(row + 1) * k];
            let acc = dot_i32(x_row, w_row, tier);
            let value = acc as f32 * (x_scales[row] * w_scale);
            out[row * n + col] = bias_term.map_or(value, |b| value + b);
        }
    }
}

/// Quantizes an f32 activation matrix `[m, k]` per row and runs [`linear_q8`].
///
/// This is the drop-in W8A8 counterpart of `f32ref::linear`: same `[m, k] × [n, k]ᵀ → [m, n]`
/// layout, same bias placement. The row quantization is the canonical symmetric recipe.
///
/// # Panics
///
/// Panics on any shape mismatch or a non-finite activation.
pub fn linear_q8_dynamic(
    x: &[f32],
    weight: &QuantizedMatrix,
    bias: Option<&[f32]>,
    m: usize,
    out: &mut [f32],
    tier: Int8Tier,
) {
    let k = weight.k;
    assert_eq!(x.len(), m * k, "x must be [m, k]");
    let mut x_q = vec![0_i8; m * k];
    let mut x_scales = vec![0.0_f32; m];
    for ((x_row, q_row), scale) in x
        .chunks_exact(k)
        .zip(x_q.chunks_exact_mut(k))
        .zip(x_scales.iter_mut())
    {
        *scale = quantize_row_q8(x_row, q_row);
    }
    linear_q8(&x_q, &x_scales, weight, bias, m, out, tier);
}

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

    /// Deterministic pseudo-random Q8 bytes (SplitMix64), full `[-127, 127]` range.
    fn pseudo_random_q8(len: usize, seed: u64) -> Vec<i8> {
        let mut state = seed;
        (0..len)
            .map(|_| {
                state = state.wrapping_add(0x9e37_79b9_7f4a_7c15);
                let mut z = state;
                z = (z ^ (z >> 30)).wrapping_mul(0xbf58_476d_1ce4_e5b9);
                z = (z ^ (z >> 27)).wrapping_mul(0x94d0_49bb_1331_11eb);
                z ^= z >> 31;
                // Map to [-127, 127]; never -128, matching the converter contract.
                ((z % 255) as i32 - 127) as i8
            })
            .collect()
    }

    /// The model's real decode GEMV shapes: (n, k) per §7 of the plan.
    const MODEL_SHAPES: &[(usize, usize)] = &[
        (2048, 1024), // q_proj / per-depth heads
        (1024, 1024), // k_proj / v_proj
        (1024, 2048), // o_proj
        (3072, 1024), // gate/up_proj, primary head
        (1024, 3072), // down_proj (binding talker K)
    ];

    #[test]
    fn every_tier_is_exactly_equal_in_i32_at_every_model_shape() {
        for &(n, k) in MODEL_SHAPES {
            let a = pseudo_random_q8(k, 0x5eed_0001 ^ (n as u64) << 20 ^ k as u64);
            let w = pseudo_random_q8(n * k, 0x5eed_0002 ^ (n as u64) << 20 ^ k as u64);
            for row in [0, n / 2, n - 1] {
                let w_row = &w[row * k..(row + 1) * k];
                let reference = dot_i32(&a, w_row, Int8Tier::Scalar);
                for tier in Int8Tier::available() {
                    assert_eq!(
                        dot_i32(&a, w_row, tier),
                        reference,
                        "tier {} diverged at shape {n}x{k} row {row}",
                        tier.as_str()
                    );
                }
            }
        }
    }

    #[test]
    fn every_tier_survives_the_all_extreme_reduction_at_the_binding_census_k() {
        // 127 * 127 * 8192 = 132,120,576 — the S8S8 all-extreme envelope at the largest census K.
        for k in [2048_usize, 3072, 4608, 7168, 8192] {
            let a = vec![127_i8; k];
            let b = vec![127_i8; k];
            let negative = vec![-127_i8; k];
            let expected = 127_i64 * 127 * k as i64;
            for tier in Int8Tier::available() {
                assert_eq!(
                    i64::from(dot_i32(&a, &b, tier)),
                    expected,
                    "positive all-extreme diverged on {} at K={k}",
                    tier.as_str()
                );
                assert_eq!(
                    i64::from(dot_i32(&a, &negative, tier)),
                    -expected,
                    "negative all-extreme diverged on {} at K={k}",
                    tier.as_str()
                );
            }
        }
    }

    #[test]
    fn tail_lengths_that_defeat_block_boundaries_stay_exact() {
        // Exercise every SDOT path: <16 (pure tail), 16..64 (single-block loop), 64+tail.
        for len in [1_usize, 7, 15, 16, 17, 63, 64, 65, 100, 129] {
            let a = pseudo_random_q8(len, tail_seed(len));
            let b = pseudo_random_q8(len, tail_seed(len) ^ 1);
            let reference = dot_i32(&a, &b, Int8Tier::Scalar);
            for tier in Int8Tier::available() {
                assert_eq!(
                    dot_i32(&a, &b, tier),
                    reference,
                    "len={len} {}",
                    tier.as_str()
                );
            }
        }
    }

    #[test]
    fn quantizer_matches_the_canonical_converter_semantics() {
        // Ties-to-even, clamp, zero-row scale, and the -128 exclusion. The cross-crate
        // byte-identity test against `ftts-artifacts` lives in `ftts-model-qwen`.
        let row = [
            -127.0_f32, -126.5, -125.5, -1.5, -0.5, 0.5, 1.5, 125.5, 126.5, 127.0,
        ];
        let mut q = [0_i8; 10];
        let scale = quantize_row_q8(&row, &mut q);
        assert_eq!(scale.to_bits(), 1.0_f32.to_bits());
        assert_eq!(q, [-127, -126, -126, -2, 0, 0, 2, 126, 126, 127]);

        let zeros = [0.0_f32; 4];
        let mut qz = [1_i8; 4];
        assert_eq!(
            quantize_row_q8(&zeros, &mut qz).to_bits(),
            1.0_f32.to_bits()
        );
        assert_eq!(qz, [0, 0, 0, 0]);

        let matrix = QuantizedMatrix::quantize(&[2.0, -1.0, 0.0, 3.0], 2, 2);
        assert_eq!(matrix.scales[0].to_bits(), (2.0_f32 / 127.0).to_bits());
        assert_eq!(matrix.scales[1].to_bits(), (3.0_f32 / 127.0).to_bits());
        assert!(matrix.data.iter().all(|&b| b != -128));
    }

    #[test]
    fn dynamic_w8a8_linear_tracks_the_f32_reference_within_quant_error() {
        // Not a parity claim — a sanity bound that the dequant plumbing is wired correctly.
        let (n, k) = (64_usize, 128_usize);
        let mut weight = vec![0.0_f32; n * k];
        let mut x = vec![0.0_f32; k];
        let mut state = 0x1234_5678_u64;
        let mut next = || {
            state = state
                .wrapping_mul(6_364_136_223_846_793_005)
                .wrapping_add(1);
            ((state >> 33) as f32 / (1u64 << 31) as f32) - 1.0
        };
        for value in weight.iter_mut() {
            *value = next();
        }
        for value in x.iter_mut() {
            *value = next();
        }
        let quantized = QuantizedMatrix::quantize(&weight, n, k);
        let mut out_q8 = vec![0.0_f32; n];
        linear_q8_dynamic(&x, &quantized, None, 1, &mut out_q8, Int8Tier::Autovec);

        let mut out_f32 = vec![0.0_f32; n];
        crate::f32ref::linear(&x, &weight, None, 1, k, n, &mut out_f32);

        let dot = |a: &[f32], b: &[f32]| a.iter().zip(b).map(|(x, y)| x * y).sum::<f32>();
        let cosine = dot(&out_q8, &out_f32)
            / (dot(&out_q8, &out_q8).sqrt() * dot(&out_f32, &out_f32).sqrt());
        assert!(
            cosine > 0.999,
            "W8A8 dequant plumbing is broken: cosine {cosine}"
        );
    }

    #[test]
    fn tiers_produce_bit_identical_f32_output_not_merely_close() {
        let (n, k) = (256_usize, 1024_usize);
        let weight: Vec<f32> = pseudo_random_q8(n * k, 77)
            .iter()
            .map(|&b| f32::from(b) / 64.0)
            .collect();
        let x: Vec<f32> = pseudo_random_q8(k, 78)
            .iter()
            .map(|&b| f32::from(b) / 64.0)
            .collect();
        let quantized = QuantizedMatrix::quantize(&weight, n, k);
        let mut reference = vec![0.0_f32; n];
        linear_q8_dynamic(&x, &quantized, None, 1, &mut reference, Int8Tier::Scalar);
        for tier in Int8Tier::available() {
            let mut out = vec![0.0_f32; n];
            linear_q8_dynamic(&x, &quantized, None, 1, &mut out, tier);
            for (index, (a, b)) in reference.iter().zip(&out).enumerate() {
                assert_eq!(
                    a.to_bits(),
                    b.to_bits(),
                    "tier {} f32 output differs at {index}",
                    tier.as_str()
                );
            }
        }
    }

    fn tail_seed(len: usize) -> u64 {
        0x7a11_0000 ^ len as u64
    }
}