/**
 *  @brief FlashAttention-style kernels for Intel Sapphire Rapids AMX.
 *  @file include/numkong/attention/sapphireamx.h
 *  @author Ash Vardanian
 *  @date January 5, 2026
 *
 *  @sa include/numkong/attention.h
 *
 *  This file implements FlashAttention-2 style scaled dot-product attention (SDPA) optimized
 *  for Intel AMX instructions on Sapphire Rapids CPUs. The kernel computes:
 *
 *      O = softmax(Q × Kᵀ / √d) × V
 *
 *  Key features:
 *  - Online softmax: Mathematically exact, processes KV blocks incrementally
 *  - Pre-packed KV cache: Amortizes packing cost for repeated inference
 *  - GQA/MQA support: Different num_heads and num_kv_heads for grouped-query attention
 *  - Causal masking: Optional masking for autoregressive generation
 *
 *  Target models (2025):
 *  - Kimi K2: head_dim=112, 64 heads, MHA, 128K context
 *  - LLaMA 3.1 405B: head_dim=128, 128 heads, 16 KV heads (GQA 8:1), 128K context
 *  - Qwen 2.5 72B: head_dim=128, 64 heads, 8 KV heads (GQA 8:1), 32K context
 *
 *  Performance comparison with H100 FlashAttention-2:
 *  - H100 SXM5: ~335 TFLOPS (35% of 989 TFLOPS peak), 80GB HBM3
 *  - 100-core SPR: ~40 TFLOPS with FlashAttention (13% of 300 TFLOPS peak)
 *  - CPU advantage: 512GB-2TB DDR5 vs 80GB HBM → supports 10-25⨯ longer contexts
 *
 *  Expected performance per core:
 *  - Decode (query_len=1, kv_len=4K): 350-450 GOPS (softmax bound)
 *  - Prefill (query_len=64, kv_len=4K): 450-550 GOPS (better AMX utilization)
 *  - Long context (kv_len=64K+): 250-350 GOPS (memory bandwidth bound)
 *
 *  Block sizes:
 *  - Bᵣ = 16 (query block rows, matches AMX tile height)
 *  - Bᶜ = 16 (KV block columns, fits 16×16 scores in 16 ZMM registers)
 *
 *  Algorithm (FlashAttention-2 style):
 *  For each query block:
 *    Initialize O = 0, rowsum = 0, rowmax = -∞
 *    For each KV block:
 *      S = Q × Kᵀ using AMX TDPBF16PS
 *      Apply online softmax: rescale old values, accumulate new
 *      O = rescale(O) + P × V using AMX
 *    Finalize: normalize O by row sums
 *
 *  @section sapphireamx_attention_instructions Relevant Instructions
 *
 *      Intrinsic                   Instruction                     Sapphire
 *      _tile_dpbf16ps              TDPBF16PS (TMM, TMM, TMM)       ~16cy (16x16x32 BF16)
 *      _tile_dpbssd                TDPBSSD (TMM, TMM, TMM)         ~16cy (16x16x64 INT8)
 *      _tile_loadd                 TILELOADD (TMM, MEM)            ~10cy @ p23
 *      _tile_stored                TILESTORED (MEM, TMM)           ~10cy @ p4
 *      _tile_zero                  TILEZERO (TMM)                  ~1cy
 *      _mm512_fmadd_ps             VFMADD (ZMM, ZMM, ZMM)          4cy @ p05
 *      _mm512_mul_ps               VMULPS (ZMM, ZMM, ZMM)          4cy @ p05
 *      _mm512_max_ps               VMAXPS (ZMM, ZMM, ZMM)          4cy @ p05
 *      _mm512_reduce_max_ps        (pseudo: VHADDPS chain)         ~8cy
 *      _mm512_reduce_add_ps        (pseudo: VHADDPS chain)         ~8cy
 */
#ifndef NK_ATTENTION_SAPPHIREAMX_H
#define NK_ATTENTION_SAPPHIREAMX_H

#if NK_TARGET_X86_
#if NK_TARGET_SAPPHIREAMX

#include "numkong/types.h"
#include "numkong/dots/sapphireamx.h"

#if defined(__cplusplus)
extern "C" {
#endif

#if defined(__clang__)
#pragma clang attribute push(                                                                                   \
    __attribute__((target("avx2,avx512f,avx512vl,avx512bw,avx512dq,avx512fp16,avx512bf16,f16c,fma,bmi,bmi2"))), \
    apply_to = function)
#elif defined(__GNUC__)
#pragma GCC push_options
#pragma GCC target("avx2", "avx512f", "avx512vl", "avx512bw", "avx512dq", "avx512fp16", "avx512bf16", "f16c", "fma", \
                   "bmi", "bmi2")
#endif

/**
 *  @brief Packed KV cache header for attention (64-byte aligned).
 *
 *  Layout in memory:
 *  [header: 64 bytes][K tiles: variable][V tiles: variable]
 *
 *  K and V are packed in AMX tile format for efficient loading.
 */
typedef struct {
    nk_u32_t num_kv_heads;    ///< Number of K/V heads (for GQA, may differ from Q heads)
    nk_u32_t head_dim;        ///< Original head dimension (64, 112, 128)
    nk_u32_t head_dim_padded; ///< Padded to multiple of 32 for AMX tiles
    nk_u32_t seq_len;         ///< Current sequence length
    nk_u32_t max_seq_len;     ///< Maximum sequence length (for pre-allocation)
    nk_u32_t k_offset;        ///< Byte offset to K tiles from header start
    nk_u32_t v_offset;        ///< Byte offset to V tiles from header start
    nk_u32_t reserved[9];     ///< Pad to 64 bytes
} nk_attention_kv_packed_header_t;

/**
 *  @brief Fast exp approximation for AVX-512.
 *
 *  Uses Cody-Waite range reduction + Remez minimax polynomial.
 *  Accuracy: max error < 1 ULP for x ∈ [-87.3, 88.7] (float range).
 *  Performance: ~15-20 cycles for 16 floats.
 */

/**
 *  @brief Fast vectorized exp(x) approximation using AVX-512.
 *
 *  Algorithm:
 *  1. Range reduction: x = n × ln(2) + r, where |r| < ln(2)/2
 *  2. Polynomial approximation: exp(r) ≈ 1 + r + r²/2 + ... (degree 6)
 *  3. Reconstruction: exp(x) = 2ⁿ × exp(r)
 *
 *  @param x Input vector (16 floats)
 *  @return exp(x) for each element
 */
NK_INTERNAL __m512 nk_exp_ps_avx512_(__m512 x_f32x16) {
    // Constants for Cody-Waite range reduction
    const __m512 log2e_f32x16 = _mm512_set1_ps(1.4426950408889634f);
    const __m512 ln2_high_f32x16 = _mm512_set1_ps(0.693145751953125f);
    const __m512 ln2_low_f32x16 = _mm512_set1_ps(1.42860682030941723212e-6f);

    // Clamp to avoid overflow/underflow
    const __m512 max_x_f32x16 = _mm512_set1_ps(88.3762626647949f);
    const __m512 min_x_f32x16 = _mm512_set1_ps(-87.3365447504021f);
    x_f32x16 = _mm512_max_ps(_mm512_min_ps(x_f32x16, max_x_f32x16), min_x_f32x16);

    // n_f32x16 = round(x / ln(2))
    __m512 n_f32x16 = _mm512_roundscale_ps(_mm512_mul_ps(x_f32x16, log2e_f32x16), _MM_FROUND_TO_NEAREST_INT);

    // r_f32x16 = x - n_f32x16 × ln(2) using Cody-Waite for precision
    __m512 r_f32x16 = _mm512_fnmadd_ps(n_f32x16, ln2_high_f32x16, x_f32x16);
    r_f32x16 = _mm512_fnmadd_ps(n_f32x16, ln2_low_f32x16, r_f32x16);

    // Polynomial approximation for exp(r_f32x16): Remez minimax degree 6
    // Coefficients optimized for [-ln(2)/2, ln(2)/2]
    __m512 p_f32x16 = _mm512_set1_ps(1.9875691500e-4f);
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.3981999507e-3f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(8.3334519073e-3f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(4.1665858030e-2f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.6666665459e-1f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(5.0000001201e-1f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.0f));
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.0f));

    // Reconstruct: exp(x) = 2ⁿ × exp(r_f32x16)
    // 2ⁿ via IEEE 754 exponent manipulation
    __m512i ni_i32x16 = _mm512_cvtps_epi32(n_f32x16);
    ni_i32x16 = _mm512_add_epi32(ni_i32x16, _mm512_set1_epi32(127));
    ni_i32x16 = _mm512_slli_epi32(ni_i32x16, 23);
    __m512 pow2n_f32x16 = _mm512_castsi512_ps(ni_i32x16);

    return _mm512_mul_ps(p_f32x16, pow2n_f32x16);
}

/**
 *  @brief Faster exp(x) approximation using degree-4 polynomial.
 *
 *  Trades accuracy for speed: ~0.1% relative error (vs <0.001% for degree-6).
 *  This is acceptable for softmax where:
 *  - Probabilities sum to 1 (normalization absorbs errors)
 *  - Relative ranking matters more than absolute values
 *
 *  Performance: ~12-15 cycles for 16 floats (vs ~18-22 for degree-6)
 *
 *  @param x Input vector (16 floats)
 *  @return exp(x) approximation
 */
NK_INTERNAL __m512 nk_exp_ps_fast_avx512_(__m512 x_f32x16) {
    // Constants for Cody-Waite range reduction
    const __m512 log2e_f32x16 = _mm512_set1_ps(1.4426950408889634f);
    const __m512 ln2_high_f32x16 = _mm512_set1_ps(0.693145751953125f);
    const __m512 ln2_low_f32x16 = _mm512_set1_ps(1.42860682030941723212e-6f);

    // Clamp to avoid overflow/underflow (same as accurate version)
    const __m512 max_x_f32x16 = _mm512_set1_ps(88.3762626647949f);
    const __m512 min_x_f32x16 = _mm512_set1_ps(-87.3365447504021f);
    x_f32x16 = _mm512_max_ps(_mm512_min_ps(x_f32x16, max_x_f32x16), min_x_f32x16);

    // n_f32x16 = round(x / ln(2))
    __m512 n_f32x16 = _mm512_roundscale_ps(_mm512_mul_ps(x_f32x16, log2e_f32x16), _MM_FROUND_TO_NEAREST_INT);

    // r_f32x16 = x - n_f32x16 × ln(2) using Cody-Waite for precision
    __m512 r_f32x16 = _mm512_fnmadd_ps(n_f32x16, ln2_high_f32x16, x_f32x16);
    r_f32x16 = _mm512_fnmadd_ps(n_f32x16, ln2_low_f32x16, r_f32x16);

    // Polynomial approximation for exp(r_f32x16): degree 4
    // Optimized coefficients for [-ln(2)/2, ln(2)/2]
    // exp(r_f32x16) ≈ 1 + r_f32x16 + r²/2 + r³/6 + r⁴/24
    // Using Horner form: ((c₄ × r_f32x16 + c₃) × r_f32x16 + c₂) × r_f32x16 + c₁) × r_f32x16 + c₀
    __m512 p_f32x16 = _mm512_set1_ps(4.1666666667e-2f);                               // 1/24
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.6666666667e-1f)); // 1/6
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(5.0000000000e-1f)); // 1/2
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.0f));             // 1
    p_f32x16 = _mm512_fmadd_ps(p_f32x16, r_f32x16, _mm512_set1_ps(1.0f));             // 1

    // Reconstruct: exp(x) = 2ⁿ × exp(r_f32x16)
    __m512i ni_i32x16 = _mm512_cvtps_epi32(n_f32x16);
    ni_i32x16 = _mm512_add_epi32(ni_i32x16, _mm512_set1_epi32(127));
    ni_i32x16 = _mm512_slli_epi32(ni_i32x16, 23);
    __m512 pow2n_f32x16 = _mm512_castsi512_ps(ni_i32x16);

    return _mm512_mul_ps(p_f32x16, pow2n_f32x16);
}

/**
 *  @brief Online softmax primitives.
 *
 *  These implement the online softmax algorithm from FlashAttention.
 *  Key insight: softmax can be computed incrementally by tracking:
 *  - m: running maximum (for numerical stability)
 *  - l: running sum of exp(x - m)
 *
 *  When a new block arrives with larger values:
 *  - Rescale old sum: l = l × exp(m_old - m_new)
 *  - Add new contributions: l += Σ exp(x_new - m_new)
 */

/**
 *  @brief State for online softmax computation.
 *
 *  Tracks per-row running maximum and sum for 16 rows.
 */
typedef struct {
    __m512 row_max_f32x16; ///< Running max per row (16 values)
    __m512 row_sum_f32x16; ///< Running sum of exp(x - max) per row
} nk_attention_softmax_row_state_t;

/**
 *  @brief Update softmax state with Bᶜ=32 score block (optimized).
 *
 *  Computes online softmax for 16×32 score block using AVX-512.
 *  Optimizations:
 *  - Process 4 rows at a time for better ILP
 *  - Keep scaled scores in registers to avoid reloading
 *  - Vectorized row sum accumulation
 */
NK_INTERNAL void nk_attention_softmax_update_bc32_(nk_attention_softmax_row_state_t *state,
                                                   nk_f32_t const *scores, // [16, 32] score block
                                                   nk_f32_t scale,
                                                   nk_f32_t *weights_out) { // [16, 32] output weights

    __m512 scale_v_f32x16 = _mm512_set1_ps(scale);

    // Load and scale all scores, compute per-row max
    // Store in temporary arrays to avoid register pressure
    __m512 s_scaled_f32x16[16][2];
    NK_ALIGN64 float row_maxes[16];

    // Process 4 rows at a time for ILP
    for (int i = 0; i < 16; i += 4) {
        // Row i
        s_scaled_f32x16[i][0] = _mm512_mul_ps(_mm512_load_ps(scores + i * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i][1] = _mm512_mul_ps(_mm512_load_ps(scores + i * 32 + 16), scale_v_f32x16);
        __m512 m0_f32x16 = _mm512_max_ps(s_scaled_f32x16[i][0], s_scaled_f32x16[i][1]);

        // Row i+1
        s_scaled_f32x16[i + 1][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 1) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 1][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 1) * 32 + 16), scale_v_f32x16);
        __m512 m1_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 1][0], s_scaled_f32x16[i + 1][1]);

        // Row i+2
        s_scaled_f32x16[i + 2][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 2) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 2][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 2) * 32 + 16), scale_v_f32x16);
        __m512 m2_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 2][0], s_scaled_f32x16[i + 2][1]);

        // Row i+3
        s_scaled_f32x16[i + 3][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 3) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 3][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 3) * 32 + 16), scale_v_f32x16);
        __m512 m3_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 3][0], s_scaled_f32x16[i + 3][1]);

        // Reduce to scalar max
        row_maxes[i] = _mm512_reduce_max_ps(m0_f32x16);
        row_maxes[i + 1] = _mm512_reduce_max_ps(m1_f32x16);
        row_maxes[i + 2] = _mm512_reduce_max_ps(m2_f32x16);
        row_maxes[i + 3] = _mm512_reduce_max_ps(m3_f32x16);
    }

    __m512 row_max_new_f32x16 = _mm512_load_ps(row_maxes);
    __m512 old_max_f32x16 = state->row_max_f32x16;
    __m512 new_max_f32x16 = _mm512_max_ps(old_max_f32x16, row_max_new_f32x16);

    // Rescale old sum
    __m512 correction_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(old_max_f32x16, new_max_f32x16));
    __m512 new_sum_f32x16 = _mm512_mul_ps(state->row_sum_f32x16, correction_f32x16);

    // Compute P = exp(S - new_max_f32x16) and accumulate sums
    NK_ALIGN64 float new_max_arr[16];
    NK_ALIGN64 float row_sums[16];
    _mm512_store_ps(new_max_arr, new_max_f32x16);

    // Process rows
    for (int i = 0; i < 16; i += 2) {
        __m512 max_i_f32x16 = _mm512_set1_ps(new_max_arr[i]);
        __m512 max_i1_f32x16 = _mm512_set1_ps(new_max_arr[i + 1]);

        // Row i
        __m512 p0_i_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(s_scaled_f32x16[i][0], max_i_f32x16));
        __m512 p1_i_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(s_scaled_f32x16[i][1], max_i_f32x16));
        _mm512_store_ps(weights_out + i * 32 + 0, p0_i_f32x16);
        _mm512_store_ps(weights_out + i * 32 + 16, p1_i_f32x16);
        row_sums[i] = _mm512_reduce_add_ps(p0_i_f32x16) + _mm512_reduce_add_ps(p1_i_f32x16);

        // Row i+1
        __m512 p0_i1_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(s_scaled_f32x16[i + 1][0], max_i1_f32x16));
        __m512 p1_i1_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(s_scaled_f32x16[i + 1][1], max_i1_f32x16));
        _mm512_store_ps(weights_out + (i + 1) * 32 + 0, p0_i1_f32x16);
        _mm512_store_ps(weights_out + (i + 1) * 32 + 16, p1_i1_f32x16);
        row_sums[i + 1] = _mm512_reduce_add_ps(p0_i1_f32x16) + _mm512_reduce_add_ps(p1_i1_f32x16);
    }

    // Add row sums to running sum vectorially
    new_sum_f32x16 = _mm512_add_ps(new_sum_f32x16, _mm512_load_ps(row_sums));

    state->row_max_f32x16 = new_max_f32x16;
    state->row_sum_f32x16 = new_sum_f32x16;
}

/**
 *  @brief Fast softmax update using degree-4 exp polynomial.
 *
 *  Same algorithm as nk_attention_softmax_update_bc32_ but uses faster exp.
 *  Trades ~0.1% accuracy for ~20% performance improvement.
 *
 *  Use this for inference where throughput matters more than last-bit accuracy.
 */
NK_INTERNAL void nk_attention_softmax_update_bc32_fast_(nk_attention_softmax_row_state_t *state,
                                                        nk_f32_t const *scores, // [16, 32] score block
                                                        nk_f32_t scale,
                                                        nk_f32_t *weights_out) { // [16, 32] output weights

    __m512 scale_v_f32x16 = _mm512_set1_ps(scale);

    // Load and scale all scores, compute per-row max
    __m512 s_scaled_f32x16[16][2];
    NK_ALIGN64 float row_maxes[16];

    // Process 4 rows at a time for ILP
    for (int i = 0; i < 16; i += 4) {
        s_scaled_f32x16[i][0] = _mm512_mul_ps(_mm512_load_ps(scores + i * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i][1] = _mm512_mul_ps(_mm512_load_ps(scores + i * 32 + 16), scale_v_f32x16);
        __m512 m0_f32x16 = _mm512_max_ps(s_scaled_f32x16[i][0], s_scaled_f32x16[i][1]);

        s_scaled_f32x16[i + 1][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 1) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 1][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 1) * 32 + 16), scale_v_f32x16);
        __m512 m1_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 1][0], s_scaled_f32x16[i + 1][1]);

        s_scaled_f32x16[i + 2][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 2) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 2][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 2) * 32 + 16), scale_v_f32x16);
        __m512 m2_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 2][0], s_scaled_f32x16[i + 2][1]);

        s_scaled_f32x16[i + 3][0] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 3) * 32 + 0), scale_v_f32x16);
        s_scaled_f32x16[i + 3][1] = _mm512_mul_ps(_mm512_load_ps(scores + (i + 3) * 32 + 16), scale_v_f32x16);
        __m512 m3_f32x16 = _mm512_max_ps(s_scaled_f32x16[i + 3][0], s_scaled_f32x16[i + 3][1]);

        row_maxes[i] = _mm512_reduce_max_ps(m0_f32x16);
        row_maxes[i + 1] = _mm512_reduce_max_ps(m1_f32x16);
        row_maxes[i + 2] = _mm512_reduce_max_ps(m2_f32x16);
        row_maxes[i + 3] = _mm512_reduce_max_ps(m3_f32x16);
    }

    __m512 row_max_new_f32x16 = _mm512_load_ps(row_maxes);
    __m512 old_max_f32x16 = state->row_max_f32x16;
    __m512 new_max_f32x16 = _mm512_max_ps(old_max_f32x16, row_max_new_f32x16);

    // Rescale old sum using fast exp
    __m512 correction_f32x16 = nk_exp_ps_fast_avx512_(_mm512_sub_ps(old_max_f32x16, new_max_f32x16));
    __m512 new_sum_f32x16 = _mm512_mul_ps(state->row_sum_f32x16, correction_f32x16);

    // Compute P = exp(S - new_max_f32x16) using fast exp
    NK_ALIGN64 float new_max_arr[16];
    NK_ALIGN64 float row_sums[16];
    _mm512_store_ps(new_max_arr, new_max_f32x16);

    // Process rows with fast exp
    for (int i = 0; i < 16; i += 2) {
        __m512 max_i_f32x16 = _mm512_set1_ps(new_max_arr[i]);
        __m512 max_i1_f32x16 = _mm512_set1_ps(new_max_arr[i + 1]);

        // Row i
        __m512 p0_i_f32x16 = nk_exp_ps_fast_avx512_(_mm512_sub_ps(s_scaled_f32x16[i][0], max_i_f32x16));
        __m512 p1_i_f32x16 = nk_exp_ps_fast_avx512_(_mm512_sub_ps(s_scaled_f32x16[i][1], max_i_f32x16));
        _mm512_store_ps(weights_out + i * 32 + 0, p0_i_f32x16);
        _mm512_store_ps(weights_out + i * 32 + 16, p1_i_f32x16);
        row_sums[i] = _mm512_reduce_add_ps(p0_i_f32x16) + _mm512_reduce_add_ps(p1_i_f32x16);

        // Row i+1
        __m512 p0_i1_f32x16 = nk_exp_ps_fast_avx512_(_mm512_sub_ps(s_scaled_f32x16[i + 1][0], max_i1_f32x16));
        __m512 p1_i1_f32x16 = nk_exp_ps_fast_avx512_(_mm512_sub_ps(s_scaled_f32x16[i + 1][1], max_i1_f32x16));
        _mm512_store_ps(weights_out + (i + 1) * 32 + 0, p0_i1_f32x16);
        _mm512_store_ps(weights_out + (i + 1) * 32 + 16, p1_i1_f32x16);
        row_sums[i + 1] = _mm512_reduce_add_ps(p0_i1_f32x16) + _mm512_reduce_add_ps(p1_i1_f32x16);
    }

    new_sum_f32x16 = _mm512_add_ps(new_sum_f32x16, _mm512_load_ps(row_sums));

    state->row_max_f32x16 = new_max_f32x16;
    state->row_sum_f32x16 = new_sum_f32x16;
}

/**
 *  @brief Initialize online softmax state.
 */
NK_INTERNAL void nk_attention_softmax_init_(nk_attention_softmax_row_state_t *state) {
    state->row_max_f32x16 = _mm512_set1_ps(NK_F32_MIN);
    state->row_sum_f32x16 = _mm512_setzero_ps();
}

/**
 *  @brief Update softmax state with new score block and compute attention weights.
 *
 *  For a 16×16 score block S[16][16]:
 *  1. Compute row-wise max of S
 *  2. Update running max: newₘₐₓ = max(oldₘₐₓ, blockₘₐₓ)
 *  3. Rescale old sum: oldₛᵤₘ × = exp(oldₘₐₓ - newₘₐₓ)
 *  4. Compute P = exp(S - newₘₐₓ), store for P × V
 *  5. Update sum: newₛᵤₘ = oldₛᵤₘ + row_sum(P)
 *
 *  @param state        Running softmax state (updated in place)
 *  @param scores       16×16 score block in row-major order (256 floats)
 *  @param scale        Scaling factor (1/√head_dim)
 *  @param weights_out  Output: 16×16 attention weights P (pre-softmax normalized)
 */
NK_INTERNAL void nk_attention_softmax_update_(nk_attention_softmax_row_state_t *state, nk_f32_t const *scores,
                                              nk_f32_t scale, nk_f32_t *weights_out) {

    __m512 scale_v_f32x16 = _mm512_set1_ps(scale);

    // Load scores into 16 ZMM registers (one per row)
    __m512 s_f32x16[16];
    for (int i = 0; i < 16; i++) { s_f32x16[i] = _mm512_mul_ps(_mm512_load_ps(scores + i * 16), scale_v_f32x16); }

    // Per-row max (each row has 16 elements, we need max across those 16)
    // _mm512_reduce_max_ps returns a float scalar
    NK_ALIGN64 float row_maxes[16];
    for (int i = 0; i < 16; i++) { row_maxes[i] = _mm512_reduce_max_ps(s_f32x16[i]); }
    __m512 row_max_new_f32x16 = _mm512_load_ps(row_maxes);

    // Update running max
    __m512 old_max_f32x16 = state->row_max_f32x16;
    __m512 new_max_f32x16 = _mm512_max_ps(old_max_f32x16, row_max_new_f32x16);

    // Rescale old sum: l = l × exp(oldₘₐₓ - newₘₐₓ)
    __m512 correction_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(old_max_f32x16, new_max_f32x16));
    __m512 old_sum_rescaled_f32x16 = _mm512_mul_ps(state->row_sum_f32x16, correction_f32x16);

    // Compute P = exp(S - newₘₐₓ) for each row, accumulate sum
    __m512 new_sum_f32x16 = old_sum_rescaled_f32x16;
    float new_max_arr[16];
    _mm512_store_ps(new_max_arr, new_max_f32x16);

    for (int i = 0; i < 16; i++) {
        __m512 max_broadcast_f32x16 = _mm512_set1_ps(new_max_arr[i]);
        __m512 p_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(s_f32x16[i], max_broadcast_f32x16));
        _mm512_store_ps(weights_out + i * 16, p_f32x16);

        // Add row sum to running sum (at position i)
        float row_sum = _mm512_reduce_add_ps(p_f32x16);
        new_sum_f32x16 = _mm512_mask_add_ps(new_sum_f32x16, 1u << i, new_sum_f32x16, _mm512_set1_ps(row_sum));
    }

    state->row_max_f32x16 = new_max_f32x16;
    state->row_sum_f32x16 = new_sum_f32x16;
}

/**
 *  @brief Rescale output accumulator when max changes.
 *
 *  When processing a new KV block with larger scores, previous O accumulator
 *  needs rescaling: O = O × exp(oldₘₐₓ - newₘₐₓ)
 *
 *  @param output       Output accumulator [16][head_dim] in F32
 *  @param head_dim     Head dimension
 *  @param old_max      Previous running max per row (16 values)
 *  @param new_max      New running max per row (16 values)
 */
NK_INTERNAL void nk_attention_rescale_output_(nk_f32_t *output, nk_size_t head_dim, __m512 old_max_f32x16,
                                              __m512 new_max_f32x16) {

    __m512 correction_f32x16 = nk_exp_ps_avx512_(_mm512_sub_ps(old_max_f32x16, new_max_f32x16));
    float corr_arr[16];
    _mm512_store_ps(corr_arr, correction_f32x16);

    for (nk_size_t row = 0; row < 16; row++) {
        __m512 corr_v_f32x16 = _mm512_set1_ps(corr_arr[row]);
        for (nk_size_t col = 0; col < head_dim; col += 16) {
            __m512 o_f32x16 = _mm512_load_ps(output + row * head_dim + col);
            o_f32x16 = _mm512_mul_ps(o_f32x16, corr_v_f32x16);
            _mm512_store_ps(output + row * head_dim + col, o_f32x16);
        }
    }
}

NK_PUBLIC nk_size_t nk_attention_kv_packed_size_sapphireamx(nk_size_t num_kv_heads, nk_size_t head_dim,
                                                            nk_size_t max_seq_len) {

    // Pad head_dim to multiple of 32 for AMX tiles
    nk_size_t head_dim_padded = nk_size_round_up_to_multiple_(head_dim, 32);

    // Each head: seq_len × head_dim_padded BF16 values
    // Packed in AMX tile format: 16-row tiles with pair-interleaving
    nk_size_t tiles_per_head_col = nk_size_divide_round_up_(max_seq_len, 16);
    nk_size_t tiles_per_head_depth = head_dim_padded / 32;
    nk_size_t bytes_per_head = tiles_per_head_col * tiles_per_head_depth * 1024; // 1KB per tile

    // K and V each have num_kv_heads heads
    nk_size_t k_size = num_kv_heads * bytes_per_head;
    nk_size_t v_size = num_kv_heads * bytes_per_head;

    // Header + K + V, all 64-byte aligned
    return sizeof(nk_attention_kv_packed_header_t) + k_size + v_size;
}

NK_PUBLIC void nk_attention_pack_k_sapphireamx(nk_bf16_t const *k, void *kv_packed, nk_size_t num_kv_heads,
                                               nk_size_t seq_len, nk_size_t head_dim) {

    nk_attention_kv_packed_header_t *header = (nk_attention_kv_packed_header_t *)kv_packed;

    // Initialize header
    nk_size_t head_dim_padded = nk_size_round_up_to_multiple_(head_dim, 32);
    header->num_kv_heads = (nk_u32_t)num_kv_heads;
    header->head_dim = (nk_u32_t)head_dim;
    header->head_dim_padded = (nk_u32_t)head_dim_padded;
    header->seq_len = (nk_u32_t)seq_len;
    header->k_offset = sizeof(nk_attention_kv_packed_header_t);

    nk_bf16_t *k_packed = (nk_bf16_t *)((char *)kv_packed + header->k_offset);

    // For Q × Kᵀ, K acts as B matrix but transposed
    // K[h, s, d] → Kᵀ[h, d, s]
    // Pack Kᵀ into AMX B tile format with pair-interleaving

    nk_size_t tiles_per_seq = nk_size_divide_round_up_(seq_len, 16);
    nk_size_t tiles_per_depth = head_dim_padded / 32;
    nk_size_t tile_size = 512; // BF16 elements per tile

    for (nk_size_t h = 0; h < num_kv_heads; h++) {
        nk_bf16_t const *k_head = k + h * seq_len * head_dim;
        nk_bf16_t *k_head_packed = k_packed + h * tiles_per_seq * tiles_per_depth * tile_size;

        // Pack tiles: iterate over seq_len tiles (columns of Kᵀ) and depth tiles
        for (nk_size_t seq_tile = 0; seq_tile < tiles_per_seq; seq_tile++) {
            nk_size_t seq_start = seq_tile * 16;
            nk_size_t valid_seq = (seq_start + 16 <= seq_len) ? 16 : (seq_len - seq_start);

            for (nk_size_t depth_tile = 0; depth_tile < tiles_per_depth; depth_tile++) {
                nk_size_t depth_start = depth_tile * 32;
                nk_size_t valid_depth = (depth_start + 32 <= head_dim) ? 32 : (head_dim - depth_start);

                // Tile index in packed format
                nk_size_t tile_idx = seq_tile * tiles_per_depth + depth_tile;
                nk_bf16_t *tile_ptr = k_head_packed + tile_idx * tile_size;

                // Pack with pair-interleaving for TDPBF16PS
                // B tile layout: data[depth/2][col][depth%2]
                // For Kᵀ: depth is original head_dim, col is original seq position
                for (nk_size_t d = 0; d < 32; d += 2) {
                    for (nk_size_t s = 0; s < 16; s++) {
                        nk_size_t dst_idx = (d / 2) * 32 + s * 2;

                        // K[h, seq_start + s, depth_start + d] and K[h, seq_start + s, depth_start + d + 1]
                        nk_bf16_t v0 = 0, v1 = 0;
                        if (s < valid_seq && d < valid_depth) {
                            v0 = k_head[(seq_start + s) * head_dim + depth_start + d];
                        }
                        if (s < valid_seq && d + 1 < valid_depth) {
                            v1 = k_head[(seq_start + s) * head_dim + depth_start + d + 1];
                        }

                        tile_ptr[dst_idx] = v0;
                        tile_ptr[dst_idx + 1] = v1;
                    }
                }
            }
        }
    }

    // Calculate V offset
    nk_size_t k_size = num_kv_heads * tiles_per_seq * tiles_per_depth * tile_size * sizeof(nk_bf16_t);
    header->v_offset = header->k_offset + (nk_u32_t)k_size;
}

NK_PUBLIC void nk_attention_pack_v_sapphireamx(nk_bf16_t const *v, void *kv_packed, nk_size_t num_kv_heads,
                                               nk_size_t seq_len, nk_size_t head_dim) {

    nk_attention_kv_packed_header_t *header = (nk_attention_kv_packed_header_t *)kv_packed;
    nk_size_t head_dim_padded = header->head_dim_padded;

    nk_bf16_t *v_packed = (nk_bf16_t *)((char *)kv_packed + header->v_offset);

    // For P @ V, P is [query_len, seq_len], V is [seq_len, head_dim]
    // V acts as B matrix: pack with seq_len as "depth", head_dim as "columns"

    nk_size_t tiles_per_seq = nk_size_divide_round_up_(seq_len, 32);          // seq_len is depth for V
    nk_size_t tiles_per_head = nk_size_divide_round_up_(head_dim_padded, 16); // head_dim is columns
    nk_size_t tile_size = 512;

    for (nk_size_t h = 0; h < num_kv_heads; h++) {
        nk_bf16_t const *v_head = v + h * seq_len * head_dim;
        nk_bf16_t *v_head_packed = v_packed + h * tiles_per_seq * tiles_per_head * tile_size;

        for (nk_size_t seq_tile = 0; seq_tile < tiles_per_seq; seq_tile++) {
            nk_size_t seq_start = seq_tile * 32;
            nk_size_t valid_seq = (seq_start + 32 <= seq_len) ? 32 : (seq_len - seq_start);

            for (nk_size_t head_tile = 0; head_tile < tiles_per_head; head_tile++) {
                nk_size_t head_start = head_tile * 16;
                nk_size_t valid_head = (head_start + 16 <= head_dim) ? 16 : (head_dim - head_start);

                nk_size_t tile_idx = seq_tile * tiles_per_head + head_tile;
                nk_bf16_t *tile_ptr = v_head_packed + tile_idx * tile_size;

                // Pack with pair-interleaving
                // B tile: data[depth/2][col][depth%2] where depth=seq, col=head_dim
                for (nk_size_t s = 0; s < 32; s += 2) {
                    for (nk_size_t d = 0; d < 16; d++) {
                        nk_size_t dst_idx = (s / 2) * 32 + d * 2;

                        nk_bf16_t v0 = 0, v1 = 0;
                        if (s < valid_seq && d < valid_head) {
                            v0 = v_head[(seq_start + s) * head_dim + head_start + d];
                        }
                        if (s + 1 < valid_seq && d < valid_head) {
                            v1 = v_head[(seq_start + s + 1) * head_dim + head_start + d];
                        }

                        tile_ptr[dst_idx] = v0;
                        tile_ptr[dst_idx + 1] = v1;
                    }
                }
            }
        }
    }
}

/**
 *  @brief Extract K block from packed format: Kᵀ[head_dim, Bᶜ] for a given kv_block.
 *
 *  K is packed as Kᵀ for Q × Kᵀ, with pair-interleaving.
 *  Output is in row-major F32 format: k_out[d × Bᶜ + kᵢ] = Kᵀ[d, kᵢ]
 */
NK_INTERNAL void nk_attention_extract_k_block_(nk_bf16_t const *k_packed, nk_f32_t *k_out, nk_size_t kv_h,
                                               nk_size_t kv_block_start, nk_size_t valid_kv, nk_size_t head_dim,
                                               nk_size_t kv_len) {

    nk_size_t const Bc = 16;
    nk_size_t head_dim_padded = nk_size_round_up_to_multiple_(head_dim, 32);
    nk_size_t tiles_per_seq = nk_size_divide_round_up_(kv_len, 16);
    nk_size_t tiles_per_depth = head_dim_padded / 32;
    nk_size_t tile_size = 512;

    nk_size_t seq_tile = kv_block_start / 16;
    nk_size_t base_s = kv_block_start % 16;

    // Get pointer to this head's K data
    nk_bf16_t const *k_head = k_packed + kv_h * tiles_per_seq * tiles_per_depth * tile_size;

    // Extract each depth tile
    for (nk_size_t depth_tile = 0; depth_tile < tiles_per_depth; depth_tile++) {
        nk_size_t depth_start = depth_tile * 32;
        nk_size_t tile_idx = seq_tile * tiles_per_depth + depth_tile;
        nk_bf16_t const *tile_ptr = k_head + tile_idx * tile_size;

        // Unpack tile: pair-interleaved layout data[d/2][s][d%2]
        for (nk_size_t d_in_tile = 0; d_in_tile < 32 && depth_start + d_in_tile < head_dim; d_in_tile++) {
            nk_size_t d = depth_start + d_in_tile;
            for (nk_size_t ki = 0; ki < valid_kv; ki++) {
                nk_size_t s_in_tile = base_s + ki;
                if (s_in_tile >= 16) continue; // Shouldn't happen if kv_block aligned

                nk_size_t elem_idx = (d_in_tile / 2) * 32 + s_in_tile * 2 + (d_in_tile % 2);
                nk_bf16_t bf16_val = tile_ptr[elem_idx];
                nk_f32_t f32_val;
                nk_bf16_to_f32_serial(&bf16_val, &f32_val);
                k_out[d * Bc + ki] = f32_val;
            }
        }
    }
}

/**
 *  @brief Extract V block from packed format: V[Bᶜ, head_dim] for a given kv_block.
 *
 *  V is packed for P × V, with pair-interleaving.
 *  Output is in row-major F32 format: v_out[kᵢ × head_dim + d] = V[kᵢ, d]
 */
NK_INTERNAL void nk_attention_extract_v_block_(nk_bf16_t const *v_packed, nk_f32_t *v_out, nk_size_t kv_h,
                                               nk_size_t kv_block_start, nk_size_t valid_kv, nk_size_t head_dim,
                                               nk_size_t kv_len) {

    nk_size_t head_dim_padded = nk_size_round_up_to_multiple_(head_dim, 32);
    nk_size_t tiles_per_seq = nk_size_divide_round_up_(kv_len, 32);
    nk_size_t tiles_per_head = nk_size_divide_round_up_(head_dim_padded, 16);
    nk_size_t tile_size = 512;

    // Get pointer to this head's V data
    nk_bf16_t const *v_head = v_packed + kv_h * tiles_per_seq * tiles_per_head * tile_size;

    // For each kv position in the block
    for (nk_size_t ki = 0; ki < valid_kv; ki++) {
        nk_size_t kv_pos = kv_block_start + ki;
        nk_size_t seq_tile = kv_pos / 32;
        nk_size_t s_in_tile = kv_pos % 32;

        // Extract each head_dim tile
        for (nk_size_t head_tile = 0; head_tile < tiles_per_head; head_tile++) {
            nk_size_t head_start = head_tile * 16;
            nk_size_t tile_idx = seq_tile * tiles_per_head + head_tile;
            nk_bf16_t const *tile_ptr = v_head + tile_idx * tile_size;

            // Unpack: pair-interleaved layout data[s/2][d][s%2]
            for (nk_size_t d_in_tile = 0; d_in_tile < 16 && head_start + d_in_tile < head_dim; d_in_tile++) {
                nk_size_t d = head_start + d_in_tile;
                nk_size_t elem_idx = (s_in_tile / 2) * 32 + d_in_tile * 2 + (s_in_tile % 2);
                nk_bf16_t bf16_val = tile_ptr[elem_idx];
                nk_f32_t f32_val;
                nk_bf16_to_f32_serial(&bf16_val, &f32_val);
                v_out[ki * head_dim + d] = f32_val;
            }
        }
    }
}

NK_PUBLIC void nk_attention_bf16_sapphireamx(nk_bf16_t const *q, void const *kv_packed, nk_f32_t *output,
                                             nk_size_t num_heads, nk_size_t num_kv_heads, nk_size_t query_len,
                                             nk_size_t kv_len, nk_size_t head_dim, nk_f32_t scale) {

    nk_attention_kv_packed_header_t const *header = (nk_attention_kv_packed_header_t const *)kv_packed;
    nk_size_t head_dim_padded = header->head_dim_padded;
    nk_size_t gqa_ratio = num_heads / num_kv_heads;

    // Tile sizes
    nk_size_t const Br = 16; // Query block rows
    nk_size_t const Bc = 16; // KV block columns

    // Configure AMX tiles
    nk_amx_tile_configure_sapphireamx_();

    // Temporary buffers (aligned to 64 bytes)
    NK_ALIGN64 nk_f32_t scores[16 * 16];  // S = Q × Kᵀ block
    NK_ALIGN64 nk_f32_t weights[16 * 16]; // P = softmax(S)
    NK_ALIGN64 nk_f32_t o_acc[16 * 256];  // Output accumulator (max head_dim=256)

    // Packed data pointers
    nk_bf16_t const *k_packed = (nk_bf16_t const *)((char const *)kv_packed + header->k_offset);
    nk_bf16_t const *v_packed = (nk_bf16_t const *)((char const *)kv_packed + header->v_offset);

    // Process each head
    for (nk_size_t h = 0; h < num_heads; h++) {
        nk_size_t kv_h = h / gqa_ratio;

        nk_bf16_t const *q_head = q + h * query_len * head_dim;
        nk_f32_t *o_head = output + h * query_len * head_dim;

        // Process query blocks
        for (nk_size_t qb = 0; qb < query_len; qb += Br) {
            nk_size_t valid_q = (qb + Br <= query_len) ? Br : (query_len - qb);

            // Initialize softmax state and output accumulator
            nk_attention_softmax_row_state_t softmax_state;
            nk_attention_softmax_init_(&softmax_state);

            for (nk_size_t i = 0; i < valid_q * head_dim_padded; i++) { o_acc[i] = 0.0f; }

            // Temporary buffers for extracted K and V blocks
            NK_ALIGN64 nk_f32_t k_block[16 * 256]; // Kᵀ block [head_dim, 16]
            NK_ALIGN64 nk_f32_t v_block[16 * 256]; // V block [16, head_dim]
            NK_ALIGN64 nk_f32_t q_block[16 * 256]; // Q block [16, head_dim]

            // Pre-convert Q block to F32
            for (nk_size_t qi = 0; qi < valid_q; qi++) {
                for (nk_size_t d = 0; d < head_dim; d++) {
                    nk_bf16_t q_val = q_head[(qb + qi) * head_dim + d];
                    nk_bf16_to_f32_serial(&q_val, &q_block[qi * head_dim + d]);
                }
            }

            // Process KV blocks
            for (nk_size_t kvb = 0; kvb < kv_len; kvb += Bc) {
                nk_size_t valid_kv = (kvb + Bc <= kv_len) ? Bc : (kv_len - kvb);

                // Extract K block: Kᵀ[head_dim, valid_kv] using bulk extraction
                nk_attention_extract_k_block_(k_packed, k_block, kv_h, kvb, valid_kv, head_dim, kv_len);

                // Phase 1: Compute S = Q × Kᵀ using AVX-512 FMA
                for (nk_size_t qi = 0; qi < valid_q; qi++) {
                    for (nk_size_t ki = 0; ki < valid_kv; ki++) {
                        __m512 sum_v_f32x16 = _mm512_setzero_ps();
                        nk_size_t d = 0;
                        // Vectorized loop over head_dim
                        for (; d + 16 <= head_dim; d += 16) {
                            __m512 q_v_f32x16 = _mm512_loadu_ps(&q_block[qi * head_dim + d]);
                            // Kᵀ is stored as [head_dim, kv], gather is slow, use scalar for now
                            __m512 k_v_f32x16 = _mm512_set_ps(
                                k_block[(d + 15) * 16 + ki], k_block[(d + 14) * 16 + ki], k_block[(d + 13) * 16 + ki],
                                k_block[(d + 12) * 16 + ki], k_block[(d + 11) * 16 + ki], k_block[(d + 10) * 16 + ki],
                                k_block[(d + 9) * 16 + ki], k_block[(d + 8) * 16 + ki], k_block[(d + 7) * 16 + ki],
                                k_block[(d + 6) * 16 + ki], k_block[(d + 5) * 16 + ki], k_block[(d + 4) * 16 + ki],
                                k_block[(d + 3) * 16 + ki], k_block[(d + 2) * 16 + ki], k_block[(d + 1) * 16 + ki],
                                k_block[(d + 0) * 16 + ki]);
                            sum_v_f32x16 = _mm512_fmadd_ps(q_v_f32x16, k_v_f32x16, sum_v_f32x16);
                        }
                        nk_f32_t sum = _mm512_reduce_add_ps(sum_v_f32x16);
                        // Scalar tail
                        for (; d < head_dim; d++) { sum += q_block[qi * head_dim + d] * k_block[d * 16 + ki]; }
                        scores[qi * 16 + ki] = sum;
                    }
                    // Zero out invalid KV positions
                    for (nk_size_t ki = valid_kv; ki < 16; ki++) { scores[qi * 16 + ki] = NK_F32_MIN; }
                }
                // Zero out invalid query rows
                for (nk_size_t qi = valid_q; qi < 16; qi++) {
                    for (nk_size_t ki = 0; ki < 16; ki++) { scores[qi * 16 + ki] = NK_F32_MIN; }
                }

                // Phase 2: Online softmax update
                __m512 old_max_f32x16 = softmax_state.row_max_f32x16;
                nk_attention_softmax_update_(&softmax_state, scores, scale, weights);

                // Rescale output accumulator if max changed
                nk_attention_rescale_output_(o_acc, head_dim_padded, old_max_f32x16, softmax_state.row_max_f32x16);

                // Extract V block: V[valid_kv, head_dim] using bulk extraction
                nk_attention_extract_v_block_(v_packed, v_block, kv_h, kvb, valid_kv, head_dim, kv_len);

                // Phase 3: Compute O += P × V using AVX-512 FMA
                for (nk_size_t qi = 0; qi < valid_q; qi++) {
                    nk_size_t d = 0;
                    // Vectorized loop over head_dim
                    for (; d + 16 <= head_dim; d += 16) {
                        __m512 acc_v_f32x16 = _mm512_loadu_ps(&o_acc[qi * head_dim_padded + d]);
                        for (nk_size_t ki = 0; ki < valid_kv; ki++) {
                            __m512 p_v_f32x16 = _mm512_set1_ps(weights[qi * 16 + ki]);
                            __m512 v_v_f32x16 = _mm512_loadu_ps(&v_block[ki * head_dim + d]);
                            acc_v_f32x16 = _mm512_fmadd_ps(p_v_f32x16, v_v_f32x16, acc_v_f32x16);
                        }
                        _mm512_storeu_ps(&o_acc[qi * head_dim_padded + d], acc_v_f32x16);
                    }
                    // Scalar tail
                    for (; d < head_dim; d++) {
                        nk_f32_t sum = o_acc[qi * head_dim_padded + d];
                        for (nk_size_t ki = 0; ki < valid_kv; ki++) {
                            sum += weights[qi * 16 + ki] * v_block[ki * head_dim + d];
                        }
                        o_acc[qi * head_dim_padded + d] = sum;
                    }
                }
            }

            // Finalize: normalize O by row sums
            float row_sums[16];
            _mm512_store_ps(row_sums, softmax_state.row_sum_f32x16);

            for (nk_size_t qi = 0; qi < valid_q; qi++) {
                nk_f32_t inv_sum = 1.0f / row_sums[qi];
                for (nk_size_t d = 0; d < head_dim; d++) {
                    o_head[(qb + qi) * head_dim + d] = o_acc[qi * head_dim_padded + d] * inv_sum;
                }
            }
        }
    }
}

NK_PUBLIC void nk_attention_bf16_amx_bc32_sapphireamx(nk_bf16_t const *q, void const *kv_packed, nk_f32_t *output,
                                                      nk_size_t num_heads, nk_size_t num_kv_heads, nk_size_t query_len,
                                                      nk_size_t kv_len, nk_size_t head_dim, nk_f32_t scale) {

    nk_attention_kv_packed_header_t const *header = (nk_attention_kv_packed_header_t const *)kv_packed;
    nk_size_t head_dim_padded = header->head_dim_padded;
    nk_size_t gqa_ratio = num_heads / num_kv_heads;

    // Block sizes - Bc=32 matches V tile depth granularity
    nk_size_t const Br = 16;
    nk_size_t const Bc = 32;

    // Configure AMX tiles
    nk_amx_tile_configure_sapphireamx_();

    // Buffers
    NK_ALIGN64 nk_f32_t scores[16 * 32];  // S [16, 32]
    NK_ALIGN64 nk_f32_t weights[16 * 32]; // P [16, 32]
    NK_ALIGN64 nk_f32_t o_acc[16 * 256];  // Output accumulator
    NK_ALIGN64 nk_bf16_t q_tile[16][32];  // Q as A-tile format
    NK_ALIGN64 nk_f32_t s_tile[16][16];   // Score tile output (for each half)
    NK_ALIGN64 nk_bf16_t p_tile[16][32];  // P weights as A-tile format
    NK_ALIGN64 nk_f32_t o_tile[16][16];   // Output tile from AMX

    // K packing layout (16 seq positions per tile)
    nk_size_t k_tiles_per_seq = nk_size_divide_round_up_(kv_len, 16);
    nk_size_t tiles_per_depth = head_dim_padded / 32;
    nk_size_t tile_size = 512; // BF16 elements per tile

    // V packing layout (32 seq positions per tile)
    nk_size_t v_tiles_per_seq = nk_size_divide_round_up_(kv_len, 32);
    nk_size_t v_tiles_per_head = nk_size_divide_round_up_(head_dim_padded, 16);

    nk_bf16_t const *k_packed = (nk_bf16_t const *)((char const *)kv_packed + header->k_offset);
    nk_bf16_t const *v_packed = (nk_bf16_t const *)((char const *)kv_packed + header->v_offset);

    for (nk_size_t h = 0; h < num_heads; h++) {
        nk_size_t kv_h = h / gqa_ratio;
        nk_bf16_t const *q_head = q + h * query_len * head_dim;
        nk_f32_t *o_head = output + h * query_len * head_dim;

        // Pointer to this KV head's packed data
        nk_bf16_t const *k_head = k_packed + kv_h * k_tiles_per_seq * tiles_per_depth * tile_size;
        nk_bf16_t const *v_head = v_packed + kv_h * v_tiles_per_seq * v_tiles_per_head * tile_size;

        for (nk_size_t qb = 0; qb < query_len; qb += Br) {
            nk_size_t valid_q = (qb + Br <= query_len) ? Br : (query_len - qb);

            nk_attention_softmax_row_state_t softmax_state;
            nk_attention_softmax_init_(&softmax_state);

            // Zero output accumulator using SIMD
            __m512 zero_f32x16 = _mm512_setzero_ps();
            for (nk_size_t i = 0; i < 16 * head_dim_padded; i += 64) {
                _mm512_store_ps(&o_acc[i], zero_f32x16);
                _mm512_store_ps(&o_acc[i + 16], zero_f32x16);
                _mm512_store_ps(&o_acc[i + 32], zero_f32x16);
                _mm512_store_ps(&o_acc[i + 48], zero_f32x16);
            }

            // Process KV blocks in chunks of 32
            for (nk_size_t kvb = 0; kvb < kv_len; kvb += Bc) {
                nk_size_t valid_kv = (kvb + Bc <= kv_len) ? Bc : (kv_len - kvb);

                // Phase 1: S = Q × Kᵀ using AMX
                // Need 2 K tiles per block (each K tile has 16 columns)
                nk_size_t k_tile_idx0 = kvb / 16;        // First K tile
                nk_size_t k_tile_idx1 = (kvb + 16) / 16; // Second K tile

                // Process first half: S[0:16, 0:16]
                _tile_zero(0); // TMM0 = score accumulator for first 16 columns
                _tile_zero(3); // TMM3 = score accumulator for second 16 columns

                for (nk_size_t dt = 0; dt < tiles_per_depth; dt++) {
                    nk_size_t depth_start = dt * 32;

                    // Load Q[qb:qb+16, depth_start:depth_start+32] into A-tile format
                    // Use SIMD loads when possible (full 32 elements per row)
                    if (depth_start + 32 <= head_dim) {
                        // Full tile - use fast SIMD copy
                        for (nk_size_t row = 0; row < valid_q; row++) {
                            nk_bf16_t const *q_row = q_head + (qb + row) * head_dim + depth_start;
                            // Load 32 BF16 values (64 bytes) using two 256-bit loads
                            __m256i q0_bf16x16 = _mm256_loadu_si256((__m256i const *)q_row);
                            __m256i q1_bf16x16 = _mm256_loadu_si256((__m256i const *)(q_row + 16));
                            _mm256_store_si256((__m256i *)&q_tile[row][0], q0_bf16x16);
                            _mm256_store_si256((__m256i *)&q_tile[row][16], q1_bf16x16);
                        }
                    }
                    else {
                        // Partial tile - element-by-element with padding
                        nk_size_t valid_depth = head_dim - depth_start;
                        for (nk_size_t row = 0; row < valid_q; row++) {
                            nk_bf16_t const *q_row = q_head + (qb + row) * head_dim + depth_start;
                            for (nk_size_t col = 0; col < 32; col++) {
                                q_tile[row][col] = (col < valid_depth) ? q_row[col] : 0;
                            }
                        }
                    }
                    // Zero pad remaining rows
                    for (nk_size_t row = valid_q; row < 16; row++) {
                        _mm256_store_si256((__m256i *)&q_tile[row][0], _mm256_setzero_si256());
                        _mm256_store_si256((__m256i *)&q_tile[row][16], _mm256_setzero_si256());
                    }

                    _tile_loadd(1, q_tile, 64); // A: 16×32 BF16

                    // First K tile (columns 0:16)
                    nk_bf16_t const *k_tile_ptr0 = k_head + (k_tile_idx0 * tiles_per_depth + dt) * tile_size;
                    _tile_loadd(2, k_tile_ptr0, 64); // B: 32×16 BF16
                    _tile_dpbf16ps(0, 1, 2);         // TMM0 += Q × K0

                    // Second K tile (columns 16:32) if within bounds
                    if (kvb + 16 < kv_len) {
                        nk_bf16_t const *k_tile_ptr1 = k_head + (k_tile_idx1 * tiles_per_depth + dt) * tile_size;
                        _tile_loadd(4, k_tile_ptr1, 64); // B: 32×16 BF16
                        _tile_dpbf16ps(3, 1, 4);         // TMM3 += Q × K1
                    }
                }

                // Store scores from TMM0 and TMM3
                // Use SIMD for fast extraction
                _tile_stored(0, s_tile, 64);

                __m512 neg_inf_f32x16 = _mm512_set1_ps(NK_F32_MIN);

                if (valid_q == 16 && valid_kv >= 16) {
                    // Fast path: full first half, just copy
                    for (nk_size_t qi = 0; qi < 16; qi++) {
                        __m512 s0_f32x16 = _mm512_load_ps(&s_tile[qi][0]);
                        _mm512_store_ps(&scores[qi * 32], s0_f32x16);
                    }
                }
                else {
                    // Partial - need masking
                    __mmask16 kv_mask = (1u << valid_kv) - 1;
                    for (nk_size_t qi = 0; qi < 16; qi++) {
                        __m512 s0_f32x16 = _mm512_load_ps(&s_tile[qi][0]);
                        if (qi < valid_q) { s0_f32x16 = _mm512_mask_blend_ps(kv_mask, neg_inf_f32x16, s0_f32x16); }
                        else { s0_f32x16 = neg_inf_f32x16; }
                        _mm512_store_ps(&scores[qi * 32], s0_f32x16);
                    }
                }

                // Second half scores (columns 16:32)
                if (kvb + 16 < kv_len) {
                    _tile_stored(3, s_tile, 64);
                    nk_size_t valid_kv2 = (valid_kv > 16) ? (valid_kv - 16) : 0;

                    if (valid_q == 16 && valid_kv2 >= 16) {
                        // Fast path
                        for (nk_size_t qi = 0; qi < 16; qi++) {
                            __m512 s1_f32x16 = _mm512_load_ps(&s_tile[qi][0]);
                            _mm512_store_ps(&scores[qi * 32 + 16], s1_f32x16);
                        }
                    }
                    else {
                        __mmask16 kv_mask2 = (valid_kv2 >= 16) ? 0xFFFF : ((1u << valid_kv2) - 1);
                        for (nk_size_t qi = 0; qi < 16; qi++) {
                            __m512 s1_f32x16 = _mm512_load_ps(&s_tile[qi][0]);
                            if (qi < valid_q) { s1_f32x16 = _mm512_mask_blend_ps(kv_mask2, neg_inf_f32x16, s1_f32x16); }
                            else { s1_f32x16 = neg_inf_f32x16; }
                            _mm512_store_ps(&scores[qi * 32 + 16], s1_f32x16);
                        }
                    }
                }
                else {
                    // Mask out second half entirely
                    for (nk_size_t qi = 0; qi < 16; qi++) { _mm512_store_ps(&scores[qi * 32 + 16], neg_inf_f32x16); }
                }

                // Phase 2: online softmax (fast degree-4 exp)
                __m512 old_max_f32x16 = softmax_state.row_max_f32x16;
                nk_attention_softmax_update_bc32_fast_(&softmax_state, scores, scale, weights);
                nk_attention_rescale_output_(o_acc, head_dim_padded, old_max_f32x16, softmax_state.row_max_f32x16);

                // Phase 3: O += P × V using AMX
                // Convert P[16, 32] from F32 to BF16 and pack as A-tile
                for (nk_size_t qi = 0; qi < 16; qi++) {
                    for (nk_size_t ki = 0; ki < 32; ki += 16) {
                        __m512 p_f32_f32x16 = _mm512_loadu_ps(&weights[qi * 32 + ki]);
                        __m256bh p_bf16 = _mm512_cvtneps_pbh(p_f32_f32x16);
                        // Store BF16 vector - cast through union or memory
                        *(__m256bh *)&p_tile[qi][ki] = p_bf16;
                    }
                }

                // V tile index for this block
                nk_size_t v_seq_tile = kvb / 32;

                // For each head_dim chunk of 16
                for (nk_size_t ht = 0; ht < v_tiles_per_head; ht++) {
                    nk_size_t head_start = ht * 16;

                    // V tile is already packed: V[32, 16] in B-tile format
                    nk_bf16_t const *v_tile_ptr = v_head + (v_seq_tile * v_tiles_per_head + ht) * tile_size;

                    // Zero output tile
                    _tile_zero(5);

                    // Load P into TMM6 (A-tile: 16×32)
                    _tile_loadd(6, p_tile, 64);

                    // Load V into TMM7 (B-tile: 32×16)
                    _tile_loadd(7, v_tile_ptr, 64);

                    // O_tile = P × V
                    _tile_dpbf16ps(5, 6, 7);

                    // Store and accumulate
                    _tile_stored(5, o_tile, 64);

                    // Add to output accumulator - unrolled for all 16 rows
                    // Even if valid_q < 16, we accumulate all (padded rows have zero_f32x16 weights)
                    for (nk_size_t qi = 0; qi < 16; qi += 4) {
                        __m512 acc0_f32x16 = _mm512_load_ps(&o_acc[(qi + 0) * head_dim_padded + head_start]);
                        __m512 acc1_f32x16 = _mm512_load_ps(&o_acc[(qi + 1) * head_dim_padded + head_start]);
                        __m512 acc2_f32x16 = _mm512_load_ps(&o_acc[(qi + 2) * head_dim_padded + head_start]);
                        __m512 acc3_f32x16 = _mm512_load_ps(&o_acc[(qi + 3) * head_dim_padded + head_start]);

                        acc0_f32x16 = _mm512_add_ps(acc0_f32x16, _mm512_load_ps(&o_tile[qi + 0][0]));
                        acc1_f32x16 = _mm512_add_ps(acc1_f32x16, _mm512_load_ps(&o_tile[qi + 1][0]));
                        acc2_f32x16 = _mm512_add_ps(acc2_f32x16, _mm512_load_ps(&o_tile[qi + 2][0]));
                        acc3_f32x16 = _mm512_add_ps(acc3_f32x16, _mm512_load_ps(&o_tile[qi + 3][0]));

                        _mm512_store_ps(&o_acc[(qi + 0) * head_dim_padded + head_start], acc0_f32x16);
                        _mm512_store_ps(&o_acc[(qi + 1) * head_dim_padded + head_start], acc1_f32x16);
                        _mm512_store_ps(&o_acc[(qi + 2) * head_dim_padded + head_start], acc2_f32x16);
                        _mm512_store_ps(&o_acc[(qi + 3) * head_dim_padded + head_start], acc3_f32x16);
                    }
                }
            }

            // Finalize: normalize O by row sums
            float row_sums[16];
            _mm512_store_ps(row_sums, softmax_state.row_sum_f32x16);
            for (nk_size_t qi = 0; qi < valid_q; qi++) {
                nk_f32_t inv_sum = 1.0f / row_sums[qi];
                for (nk_size_t d = 0; d < head_dim; d++) {
                    o_head[(qb + qi) * head_dim + d] = o_acc[qi * head_dim_padded + d] * inv_sum;
                }
            }
        }
    }
}

NK_PUBLIC void nk_attention_bf16_amx_optimized_sapphireamx(nk_bf16_t const *q, void const *kv_packed, nk_f32_t *output,
                                                           nk_size_t num_heads, nk_size_t num_kv_heads,
                                                           nk_size_t query_len, nk_size_t kv_len, nk_size_t head_dim,
                                                           nk_f32_t scale) {

    nk_attention_kv_packed_header_t const *header = (nk_attention_kv_packed_header_t const *)kv_packed;
    nk_size_t head_dim_padded = header->head_dim_padded;
    nk_size_t gqa_ratio = num_heads / num_kv_heads;

    nk_size_t const Br = 16;
    nk_size_t const Bc = 32;

    // Configure AMX tiles once
    nk_amx_tile_configure_sapphireamx_();

    // Tile dimensions
    nk_size_t tiles_per_depth = head_dim_padded / 32;                           // 4 for d=128
    nk_size_t v_tiles_per_head = nk_size_divide_round_up_(head_dim_padded, 16); // 8 for d=128

    // K packing layout (16 seq positions per tile)
    nk_size_t k_tiles_per_seq = nk_size_divide_round_up_(kv_len, 16);
    nk_size_t tile_size = 512;

    // V packing layout (32 seq positions per tile)
    nk_size_t v_tiles_per_seq = nk_size_divide_round_up_(kv_len, 32);

    nk_bf16_t const *k_packed = (nk_bf16_t const *)((char const *)kv_packed + header->k_offset);
    nk_bf16_t const *v_packed = (nk_bf16_t const *)((char const *)kv_packed + header->v_offset);

    // Pre-allocated buffers (all L1-resident)
    NK_ALIGN64 nk_bf16_t q_tiles[4][16][32]; // Q tiles for all depth chunks (max 4 for d=128)
    NK_ALIGN64 nk_f32_t scores[16][32];      // Score buffer (direct tile store target)
    NK_ALIGN64 nk_f32_t weights[16][32];     // Softmax output
    NK_ALIGN64 nk_bf16_t p_tile[16][32];     // P weights in BF16
    NK_ALIGN64 nk_f32_t o_tile[16][16];      // Output tile buffer
    NK_ALIGN64 nk_f32_t o_acc[16][256];      // Output accumulator (max d=256)

    __m512 neg_inf_f32x16 = _mm512_set1_ps(NK_F32_MIN);

    for (nk_size_t h = 0; h < num_heads; h++) {
        nk_size_t kv_h = h / gqa_ratio;
        nk_bf16_t const *q_head = q + h * query_len * head_dim;
        nk_f32_t *o_head = output + h * query_len * head_dim;

        nk_bf16_t const *k_head = k_packed + kv_h * k_tiles_per_seq * tiles_per_depth * tile_size;
        nk_bf16_t const *v_head = v_packed + kv_h * v_tiles_per_seq * v_tiles_per_head * tile_size;

        for (nk_size_t qb = 0; qb < query_len; qb += Br) {
            nk_size_t valid_q = (qb + Br <= query_len) ? Br : (query_len - qb);

            // Pre-pack Q tiles once for all KV blocks
            for (nk_size_t dt = 0; dt < tiles_per_depth; dt++) {
                nk_size_t depth_start = dt * 32;
                if (depth_start + 32 <= head_dim) {
                    // Full tile - fast SIMD copy
                    for (nk_size_t row = 0; row < valid_q; row++) {
                        nk_bf16_t const *q_row = q_head + (qb + row) * head_dim + depth_start;
                        __m256i q0_bf16x16 = _mm256_loadu_si256((__m256i const *)q_row);
                        __m256i q1_bf16x16 = _mm256_loadu_si256((__m256i const *)(q_row + 16));
                        _mm256_store_si256((__m256i *)&q_tiles[dt][row][0], q0_bf16x16);
                        _mm256_store_si256((__m256i *)&q_tiles[dt][row][16], q1_bf16x16);
                    }
                    // Zero remaining rows
                    for (nk_size_t row = valid_q; row < 16; row++) {
                        _mm256_store_si256((__m256i *)&q_tiles[dt][row][0], _mm256_setzero_si256());
                        _mm256_store_si256((__m256i *)&q_tiles[dt][row][16], _mm256_setzero_si256());
                    }
                }
                else {
                    // Partial tile with padding
                    nk_size_t valid_depth = head_dim - depth_start;
                    for (nk_size_t row = 0; row < 16; row++) {
                        for (nk_size_t col = 0; col < 32; col++) {
                            if (row < valid_q && col < valid_depth) {
                                q_tiles[dt][row][col] = q_head[(qb + row) * head_dim + depth_start + col];
                            }
                            else { q_tiles[dt][row][col] = 0; }
                        }
                    }
                }
            }

            // Initialize softmax state and output accumulator
            nk_attention_softmax_row_state_t softmax_state;
            nk_attention_softmax_init_(&softmax_state);

            __m512 zero_f32x16 = _mm512_setzero_ps();
            for (nk_size_t i = 0; i < 16 * head_dim_padded; i += 64) {
                _mm512_store_ps(&o_acc[0][i], zero_f32x16);
                _mm512_store_ps(&o_acc[0][i + 16], zero_f32x16);
                _mm512_store_ps(&o_acc[0][i + 32], zero_f32x16);
                _mm512_store_ps(&o_acc[0][i + 48], zero_f32x16);
            }

            // Process KV blocks
            for (nk_size_t kvb = 0; kvb < kv_len; kvb += Bc) {
                nk_size_t valid_kv = (kvb + Bc <= kv_len) ? Bc : (kv_len - kvb);
                nk_size_t k_tile_idx0 = kvb / 16;
                nk_size_t k_tile_idx1 = (kvb + 16) / 16;

                // Phase 1: S = Q × Kᵀ using pre-packed Q tiles
                _tile_zero(0); // Score cols 0:16
                _tile_zero(3); // Score cols 16:32

                for (nk_size_t dt = 0; dt < tiles_per_depth; dt++) {
                    // Load pre-packed Q tile from L1 (not global!)
                    _tile_loadd(1, q_tiles[dt], 64);

                    // Load K tiles from global (necessary)
                    nk_bf16_t const *k_tile_ptr0 = k_head + (k_tile_idx0 * tiles_per_depth + dt) * tile_size;
                    _tile_loadd(2, k_tile_ptr0, 64);
                    _tile_dpbf16ps(0, 1, 2);

                    if (kvb + 16 < kv_len) {
                        nk_bf16_t const *k_tile_ptr1 = k_head + (k_tile_idx1 * tiles_per_depth + dt) * tile_size;
                        _tile_loadd(4, k_tile_ptr1, 64);
                        _tile_dpbf16ps(3, 1, 4);
                    }
                }

                // Store first 16 columns directly to scores[0:16]
                _tile_stored(0, &scores[0][0], 128); // stride=128 bytes (32 floats)

                // Store second 16 columns to scores[16:32]
                if (kvb + 16 < kv_len) { _tile_stored(3, &scores[0][16], 128); }
                else {
                    // Mask out second half
                    for (nk_size_t qi = 0; qi < 16; qi++) { _mm512_store_ps(&scores[qi][16], neg_inf_f32x16); }
                }

                // Apply masking for invalid positions (only on boundaries)
                if (valid_q < 16 || valid_kv < 32) {
                    __mmask16 kv_mask0 = (valid_kv >= 16) ? 0xFFFF : ((1u << valid_kv) - 1);
                    __mmask16 kv_mask1 = (valid_kv > 16) ? ((1u << (valid_kv - 16)) - 1) : 0;
                    if (valid_kv >= 32) kv_mask1 = 0xFFFF;

                    for (nk_size_t qi = 0; qi < 16; qi++) {
                        if (qi >= valid_q) {
                            _mm512_store_ps(&scores[qi][0], neg_inf_f32x16);
                            _mm512_store_ps(&scores[qi][16], neg_inf_f32x16);
                        }
                        else {
                            __m512 s0_f32x16 = _mm512_load_ps(&scores[qi][0]);
                            __m512 s1_f32x16 = _mm512_load_ps(&scores[qi][16]);
                            _mm512_store_ps(&scores[qi][0], _mm512_mask_blend_ps(kv_mask0, neg_inf_f32x16, s0_f32x16));
                            _mm512_store_ps(&scores[qi][16], _mm512_mask_blend_ps(kv_mask1, neg_inf_f32x16, s1_f32x16));
                        }
                    }
                }

                // Phase 2: online softmax (fast degree-4 exp)
                __m512 old_max_f32x16 = softmax_state.row_max_f32x16;
                nk_attention_softmax_update_bc32_fast_(&softmax_state, &scores[0][0], scale, &weights[0][0]);
                nk_attention_rescale_output_(&o_acc[0][0], head_dim_padded, old_max_f32x16,
                                             softmax_state.row_max_f32x16);

                // Phase 3: O += P × V with hoisted P tile load
                // Convert F32 weights to BF16 P tile (once per KV block)
                for (nk_size_t qi = 0; qi < 16; qi++) {
                    __m512 p0_f32x16 = _mm512_load_ps(&weights[qi][0]);
                    __m512 p1_f32x16 = _mm512_load_ps(&weights[qi][16]);
                    __m256bh pb0 = _mm512_cvtneps_pbh(p0_f32x16);
                    __m256bh pb1 = _mm512_cvtneps_pbh(p1_f32x16);
                    *(__m256bh *)&p_tile[qi][0] = pb0;
                    *(__m256bh *)&p_tile[qi][16] = pb1;
                }

                // Load P tile once, reuse for all V tiles
                _tile_loadd(6, p_tile, 64);

                nk_size_t v_seq_tile = kvb / 32;

                for (nk_size_t ht = 0; ht < v_tiles_per_head; ht++) {
                    nk_size_t head_start = ht * 16;

                    // Load V tile from global
                    nk_bf16_t const *v_tile_ptr = v_head + (v_seq_tile * v_tiles_per_head + ht) * tile_size;

                    _tile_zero(5);
                    // P already in TMM6 - no reload!
                    _tile_loadd(7, v_tile_ptr, 64);
                    _tile_dpbf16ps(5, 6, 7);

                    // Store and accumulate
                    _tile_stored(5, o_tile, 64);

                    // Accumulate into output (unrolled)
                    for (nk_size_t qi = 0; qi < 16; qi += 4) {
                        __m512 acc0_f32x16 = _mm512_load_ps(&o_acc[qi + 0][head_start]);
                        __m512 acc1_f32x16 = _mm512_load_ps(&o_acc[qi + 1][head_start]);
                        __m512 acc2_f32x16 = _mm512_load_ps(&o_acc[qi + 2][head_start]);
                        __m512 acc3_f32x16 = _mm512_load_ps(&o_acc[qi + 3][head_start]);

                        acc0_f32x16 = _mm512_add_ps(acc0_f32x16, _mm512_load_ps(&o_tile[qi + 0][0]));
                        acc1_f32x16 = _mm512_add_ps(acc1_f32x16, _mm512_load_ps(&o_tile[qi + 1][0]));
                        acc2_f32x16 = _mm512_add_ps(acc2_f32x16, _mm512_load_ps(&o_tile[qi + 2][0]));
                        acc3_f32x16 = _mm512_add_ps(acc3_f32x16, _mm512_load_ps(&o_tile[qi + 3][0]));

                        _mm512_store_ps(&o_acc[qi + 0][head_start], acc0_f32x16);
                        _mm512_store_ps(&o_acc[qi + 1][head_start], acc1_f32x16);
                        _mm512_store_ps(&o_acc[qi + 2][head_start], acc2_f32x16);
                        _mm512_store_ps(&o_acc[qi + 3][head_start], acc3_f32x16);
                    }
                }
            }

            // Finalize: normalize O by row sums
            float row_sums[16];
            _mm512_store_ps(row_sums, softmax_state.row_sum_f32x16);
            for (nk_size_t qi = 0; qi < valid_q; qi++) {
                __m512 inv_sum_f32x16 = _mm512_set1_ps(1.0f / row_sums[qi]);
                for (nk_size_t d = 0; d < head_dim; d += 16) {
                    __m512 o_f32x16 = _mm512_load_ps(&o_acc[qi][d]);
                    o_f32x16 = _mm512_mul_ps(o_f32x16, inv_sum_f32x16);
                    _mm512_storeu_ps(&o_head[(qb + qi) * head_dim + d], o_f32x16);
                }
            }
        }
    }
}

NK_PUBLIC void nk_attention_causal_bf16_sapphireamx(nk_bf16_t const *q, void const *kv_packed, nk_f32_t *output,
                                                    nk_size_t num_heads, nk_size_t num_kv_heads, nk_size_t query_len,
                                                    nk_size_t kv_len, nk_size_t head_dim, nk_f32_t scale) {

    // For causal attention in autoregressive decode:
    // Query position q_pos can only attend to KV positions 0..q_pos
    // If kv_len == query_len (prefill), we need proper masking
    // If query_len == 1 (decode), the single query can see all KV

    // Simplified: just call full attention for now
    // TODO: Implement proper causal masking with block skipping
    nk_attention_bf16_sapphireamx(q, kv_packed, output, num_heads, num_kv_heads, query_len, kv_len, head_dim, scale);
}

#if defined(__clang__)
#pragma clang attribute pop
#elif defined(__GNUC__)
#pragma GCC pop_options
#endif

#if defined(__cplusplus)
} // extern "C"
#endif

#endif // NK_TARGET_SAPPHIREAMX
#endif // NK_TARGET_X86_
#endif // NK_ATTENTION_SAPPHIREAMX_H
