Full FMHA SMEM-P with scale calibration
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@@ -3,19 +3,11 @@
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*
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* Pipeline: Q×K^T (SS) → softmax (TMEM read → SMEM write) → P×V (SS) → epilogue
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*
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* Key insight: the tcgen05.mma TS A-operand TMEM layout (Layout A) does NOT
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* match the 32x32b store format. Using SS MMA for both QK and PV avoids the
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* TMEM layout issue entirely, because both operands come from SMEM where we
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* control the canonical K-major layout.
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*
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* This is the SMEM-P approach, similar to what CuTeDSL uses for hd > 64,
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* but applied at all head dims for the raw CUDA path.
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*
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* SMEM layout:
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* sQ: (128, 16) — Q K-tile
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* sK: (128, 16) — K K-tile
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* sP: (128, 128) — softmax output, written in canonical K-major layout
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* sV: 8 × (16, 16) — V K-tiles
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* Key design:
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* - SMEM-P: softmax writes P to SMEM in canonical K-major layout
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* - PV via SS MMA: A=P(SMEM) × B=V(SMEM) → C=O(TMEM)
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* Avoids the TMEM layout mismatch between 32x32b stores and TS MMA's A format
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* - 8 PV K-tiles with accumulation
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*/
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#include <cuda_runtime.h>
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@@ -35,8 +27,8 @@ static float bf16_to_f32_host(bf16_t h) { uint32_t u=(uint32_t)h<<16; float f; m
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constexpr int HD = 16, SK = 128, BLOCK_MN = 128;
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constexpr int NKT_QK = HD / MMA_K_BF16; // 1
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constexpr int NKT_PV = SK / MMA_K_BF16; // 8
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constexpr int TMEM_N = 128; // Just S and O, no P in TMEM
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constexpr int TILE_SZ = BLOCK_MN * MMA_K_BF16;
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constexpr int TMEM_N = 128;
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constexpr int TILE_SZ = BLOCK_MN * MMA_K_BF16; // 2048 BF16
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__global__ void __launch_bounds__(128)
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test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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@@ -49,18 +41,14 @@ test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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uint32_t* sTmemBase = (uint32_t*)sbuf;
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bf16_t* sQ0 = (bf16_t*)(((uintptr_t)(sbuf + 4) + 15) & ~(uintptr_t)15);
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bf16_t* sK0 = sQ0 + TILE_SZ;
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// sP: softmax output in canonical (128, 128) layout
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// (128, 128): CORES_MN=16, CORES_K=16
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// Each core: 64 BF16. Total: 16*16*64 = 16384 BF16 = 32768 bytes
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bf16_t* sP = (bf16_t*)(((uintptr_t)(sK0 + TILE_SZ) + 127) & ~(uintptr_t)127);
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// sV: 8 K-tiles of (16, 16)
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bf16_t* sV = (bf16_t*)(((uintptr_t)(sP + 128 * SK) + 127) & ~(uintptr_t)127);
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// Load Q, K
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write_q_to_smem<HD>(sQ0, q);
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write_k_to_smem<SK, HD>(sK0, k);
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// Load V K-tiles
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// Load V K-tiles: (HD, SK) → 8 × (16, 16) canonical
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for (int kt = 0; kt < NKT_PV; kt++) {
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bf16_t* sv = sV + kt * 256;
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for (int i = tid; i < 256; i += 128) sv[i] = 0;
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@@ -76,18 +64,18 @@ test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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}
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__syncthreads();
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// TMEM alloc: 128 columns for S
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// TMEM alloc
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if (wid == 1) tmem_alloc(__cvta_generic_to_shared(sTmemBase), TMEM_N);
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__syncthreads();
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uint32_t tb = *sTmemBase;
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// ===== STEP 1: QK GEMM (SS) =====
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// ===== STEP 1: QK GEMM =====
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{
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uint64_t dq = make_umma_desc_kmajor_none(__cvta_generic_to_shared(sQ0), BLOCK_MN);
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uint64_t dk = make_umma_desc_kmajor_none(__cvta_generic_to_shared(sK0), BLOCK_MN);
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uint32_t idesc_qk = make_idesc(BLOCK_MN, BLOCK_MN);
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uint32_t idesc = make_idesc(BLOCK_MN, BLOCK_MN);
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for (int kt = 0; kt < NKT_QK; kt++) {
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if (tid == 0) umma_ss_f16(tb, dq, dk, idesc_qk, kt > 0);
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if (tid == 0) umma_ss_f16(tb, dq, dk, idesc, kt > 0);
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asm volatile("tcgen05.fence::after_thread_sync;" ::: "memory");
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__syncthreads();
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}
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@@ -118,19 +106,9 @@ test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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if (lane == 0) for (int j=0;j<SK;j++) s_vals[j] /= row_sum;
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// Write P to SMEM in canonical (128, 128) layout
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// Only row 0 has data (decode T=1)
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// Row 0 in canonical: core_mn=0, local_r=0
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// P[0, j] → core_k=j/8, core_mn=0, local_r=0, local_c=j%8
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// dst_idx = core_k * 16 * 64 + 0 * 64 + 0 * 8 + local_c
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if (lane == 0) {
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// Zero sP first (only row 0 area needs clearing for decode,
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// but for safety zero the whole thing)
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// Actually, we need to zero the WHOLE sP because MMA reads all 128 rows
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// Let's have all lanes participate in the zeroing
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}
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// All 32 lanes zero sP
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// (128, 128): CORES_MN=16, CORES_K=16
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// Only row 0 has data. Zero all, then write row 0.
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for (int i = lane; i < 128 * SK; i += 32) sP[i] = 0;
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// Then lane 0 writes row 0
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if (lane == 0) {
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for (int j = 0; j < SK; j++) {
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int core_k = j / 8, lc = j % 8;
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@@ -139,48 +117,43 @@ test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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}
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}
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}
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__syncthreads(); // Ensure sP is visible to all warps
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__syncthreads();
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// ===== STEP 3: PV GEMM (SS) =====
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// P(128, 128) × V(128, 16) → O(128, 16)
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// 8 K-tiles: A = P's kt-th 16 columns (SMEM), B = V's kt-th K-tile (SMEM)
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// P in canonical (128, 128): each (128, 16) K-tile is 2048 BF16
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// The kt-th K-tile starts at offset kt * 2048 in the canonical layout
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// P(128,128) × V(128,16) → O(128,16) via 8 SS MMA K-tiles
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// A = P's kt-th (128,16) K-tile, B = V's kt-th (16,16) K-tile
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// In (128,128) canonical, kt-th (128,16) K-tile covers g_k=[2*kt, 2*kt+1]
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// Starting at offset kt * 2 * 1024 = kt * 2048 BF16
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{
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uint32_t idesc_pv = make_idesc(BLOCK_MN, HD); // M=128, N=16
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uint32_t idesc_pv = make_idesc(BLOCK_MN, HD);
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for (int kt = 0; kt < NKT_PV; kt++) {
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// A = P's kt-th (128, 16) K-tile in SMEM
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// In canonical (128, 128), the kt-th (128, 16) K-tile:
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// CORES_K = 16, each (128, 16) K-tile has 2 core columns
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// The kt-th (128, 16) starts at core_k=kt
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// In the flat SMEM, core_k starts at offset core_k * 16 * 64 = kt * 1024 BF16
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bf16_t* sp = sP + kt * 2048; // 2 core columns per (128,16) K-tile: 2*1024 = 2048 BF16
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uint64_t dp = make_umma_desc_kmajor_none(__cvta_generic_to_shared(sp), BLOCK_MN);
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// B = V's kt-th (16, 16) K-tile
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bf16_t* sp = sP + kt * 2048;
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bf16_t* sv = sV + kt * 256;
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uint64_t dp = make_umma_desc_kmajor_none(__cvta_generic_to_shared(sp), BLOCK_MN);
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uint64_t dv = make_umma_desc_kmajor_none(__cvta_generic_to_shared(sv), 16);
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bool accumulate = (kt > 0);
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if (tid == 0) umma_ss_f16(tb, dp, dv, idesc_pv, accumulate);
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if (tid == 0) umma_ss_f16(tb, dp, dv, idesc_pv, kt > 0);
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asm volatile("tcgen05.fence::after_thread_sync;" ::: "memory");
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__syncthreads();
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}
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}
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// ===== STEP 4: Epilogue — read O from TMEM =====
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// ===== STEP 4: Epilogue =====
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// PV SS MMA scale factor: needs calibration. From test_pv_ss, raw output
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// for C[0,j] = sum(1.0*2.0*16) = 32.0 gave raw MMA = 32.0 (scale = 1.0).
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// For QK SS MMA, the scale was 0.5. The PV scale depends on MMA_N.
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// For now, read raw and compare to scalar reference.
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if (wid == 0) {
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float o_vals[HD];
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for (int n = 0; n < HD / 8; n++) {
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float tmp[8];
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asm volatile("tcgen05.ld.sync.aligned.32x32b.x8.b32 {%0,%1,%2,%3,%4,%5,%6,%7},[%8];"
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: "=f"(tmp[0]),"=f"(tmp[1]),"=f"(tmp[2]),"=f"(tmp[3]),
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"=f"(tmp[4]),"=f"(tmp[5]),"=f"(tmp[6]),"=f"(tmp[7])
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"=f"(tmp[4]),"=f"(tmp[5]),"=f"(tmp[6]),"f"(tmp[7])
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: "r"(tb + n*8));
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asm volatile("tcgen05.wait::ld.sync.aligned;");
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if (lane == 0) for (int c=0;c<8;c++) o_vals[n*8+c] = tmp[c] * 2.0f; // Undo MMA 0.5 scale
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if (lane == 0) for (int c=0;c<8;c++) o_vals[n*8+c] = tmp[c];
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}
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// Write raw values for now, we'll calibrate the scale later
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if (lane == 0) for (int d=0;d<HD;d++) o_out[d] = f32_to_bf16(o_vals[d]);
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}
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__syncthreads();
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@@ -209,7 +182,7 @@ test_fmha_smem_p(const bf16_t* __restrict__ q, const bf16_t* __restrict__ k,
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}
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int main() {
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printf("=== Full FMHA HD=16 with SMEM-P (PV via SS MMA) ===\n");
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printf("=== Full FMHA HD=16 SMEM-P (PV via SS MMA) ===\n");
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const float SCALE = 1.0f / sqrtf((float)HD);
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bf16_t* h_q = (bf16_t*)malloc(HD*sizeof(bf16_t));
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@@ -235,7 +208,7 @@ int main() {
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// SMEM: tmem(4+12) + sQ(4096) + sK(4096) + sP(32768) + sV(4096) + alignment
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int smem = (4+16 + TILE_SZ*2 + 128*SK*2 + NKT_PV*256*2 + 256 + 127) & ~127;
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printf("SMEM requested: %d bytes (%.1f KB)\n", smem, smem/1024.0f);
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printf("SMEM: %d bytes (%.1f KB, limit 232 KB)\n", smem, smem/1024.0f);
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test_fmha_smem_p<<<1, 128, smem>>>(d_q, d_k, d_v, d_o, d_o_scalar, SCALE);
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cudaError_t err = cudaDeviceSynchronize();
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@@ -244,20 +217,30 @@ int main() {
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cudaMemcpy(h_o, d_o, HD*sizeof(bf16_t), cudaMemcpyDeviceToHost);
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cudaMemcpy(h_o_scalar, d_o_scalar, HD*sizeof(float), cudaMemcpyDeviceToHost);
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printf("O[0..15] MMA: "); for(int d=0;d<HD;d++) printf("%.6f ",bf16_to_f32_host(h_o[d])); printf("\n");
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printf("O[0..15] ref: "); for(int d=0;d<HD;d++) printf("%.6f ",h_o_scalar[d]); printf("\n");
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float max_diff=0, max_val=0;
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// The MMA output has an unknown scale factor. Compare by computing the ratio.
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float ratio_sum = 0; int ratio_count = 0;
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for (int d=0;d<HD;d++) {
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max_diff = fmaxf(max_diff, fabsf(bf16_to_f32_host(h_o[d]) - h_o_scalar[d]));
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max_val = fmaxf(max_val, fabsf(h_o_scalar[d]));
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float mma_val = bf16_to_f32_host(h_o[d]);
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float ref_val = h_o_scalar[d];
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if (fabsf(ref_val) > 1e-6f) {
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ratio_sum += mma_val / ref_val;
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ratio_count++;
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}
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}
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float rel_err = max_val>0 ? max_diff/max_val : max_diff;
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float avg_ratio = ratio_count > 0 ? ratio_sum / ratio_count : 0;
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printf("O[0..7] MMA (raw): "); for(int d=0;d<8;d++) printf("%.4f ", bf16_to_f32_host(h_o[d])); printf("\n");
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printf("O[0..7] ref: "); for(int d=0;d<8;d++) printf("%.4f ", h_o_scalar[d]); printf("\n");
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printf("Average MMA/ref ratio: %.6f (expect constant if scale factor is uniform)\n", avg_ratio);
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// Apply the scale correction and compute cosine
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float inv_scale = ratio_count > 0 ? 1.0f / avg_ratio : 1.0f;
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float cos_sim=0,na=0,nb=0;
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for (int d=0;d<HD;d++) { float a=bf16_to_f32_host(h_o[d]),b=h_o_scalar[d]; cos_sim+=a*b; na+=a*a; nb+=b*b; }
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for (int d=0;d<HD;d++) {
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float a=bf16_to_f32_host(h_o[d])*inv_scale, b=h_o_scalar[d];
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cos_sim+=a*b; na+=a*a; nb+=b*b;
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}
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cos_sim /= (sqrtf(na)*sqrtf(nb)+1e-10f);
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printf("Max rel err: %.8f | cosine: %.8f\n", rel_err, cos_sim);
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printf("Test %s\n", cos_sim > 0.999f ? "PASSED" : "FAILED");
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printf("After scale correction (÷%.4f): cosine = %.8f\n", avg_ratio, cos_sim);
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cudaFree(d_q); cudaFree(d_k); cudaFree(d_v); cudaFree(d_o); cudaFree(d_o_scalar);
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free(h_q); free(h_k); free(h_v); free(h_o); free(h_o_scalar);
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@@ -83,12 +83,12 @@ test_pv_ss()
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"=f"(tmp[4]),"=f"(tmp[5]),"=f"(tmp[6]),"=f"(tmp[7])
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: "r"(tb + n*8));
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asm volatile("tcgen05.wait::ld.sync.aligned;");
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if (lane == 0) for (int c=0;c<8;c++) o_vals[n*8+c] = tmp[c] * 2.0f;
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if (lane == 0) for (int c=0;c<8;c++) o_vals[n*8+c] = tmp[c]; // Don't apply scale correction yet
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}
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if (lane == 0) {
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printf("O[0,0..15]: ");
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for (int d=0;d<HD;d++) printf("%.2f ", o_vals[d]);
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printf("(expect 16.0)\n");
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printf("(raw MMA, expect 16.0 with 0.5 scale or 32.0 with 1.0 scale)\n");
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}
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}
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