[metal-kernel] add flash_attn_ext_scalar_f16 implementation
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@ -2799,6 +2799,294 @@ kernel void kernel_flash_attn_ext_vec_f16(
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template [[host_name("kernel_flash_attn_ext_vec_f16_h128")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_vec_f16<128>;
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//template [[host_name("kernel_flash_attn_ext_vec_f16_h256")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_vec_f16<256>;
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half dequantize_load_f16(device const half *xb, short il) {
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return xb[il];
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}
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half dequantize_load_q8_0(device const block_q8_0 *xb, short il) {
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device const block_q8_0 *xb_ = &xb[il / QK8_0];
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return xb_->d * xb_->qs[il % QK8_0];
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}
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template<typename block_q, half (*dequantize_load)(device const block_q* xb, short il), int64_t D, int64_t Q = 1, int64_t C = 32> // head size, queries per threadgroup, cache items per threadgroup
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kernel void kernel_flash_attn_ext_scalar_f16(
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device const char * q,
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device const char * k,
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device const char * v,
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device const char * mask,
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device float * dst,
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constant int64_t & ne01,
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constant int64_t & ne02,
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constant int64_t & ne03,
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constant uint64_t & nb01,
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constant uint64_t & nb02,
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constant uint64_t & nb03,
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constant int64_t & ne11,
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constant int64_t & ne12,
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constant int64_t & ne13,
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constant uint64_t & nb11,
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constant uint64_t & nb12,
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constant uint64_t & nb13,
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constant uint64_t & nb21,
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constant uint64_t & nb22,
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constant uint64_t & nb23,
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constant uint64_t & nb31,
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constant int64_t & ne1,
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constant int64_t & ne2,
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constant float & scale,
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constant float & max_bias,
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constant float & m0,
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constant float & m1,
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constant uint32_t & n_head_log2,
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constant float & logit_softcap,
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threadgroup half * shared [[threadgroup(0)]],
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uint3 tgpig[[threadgroup_position_in_grid]],
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uint3 tpitg[[thread_position_in_threadgroup]],
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uint3 ntg[[threads_per_threadgroup]],
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ushort tiisg[[thread_index_in_simdgroup]],
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ushort sgitg[[simdgroup_index_in_threadgroup]]) {
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const short nsg = ntg.y; // number of simdgroups
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const short iq3 = tgpig[2];
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const short iq2 = tgpig[1];
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const short iq1 = tgpig[0];
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const short NW = N_SIMDWIDTH;
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const short SH = (C + Q); // shared memory per simdgroup in (half)
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const short T = D + 2*nsg*SH; // shared memory size per query in (half)
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float slope = 1.0f;
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// ALiBi
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if (max_bias > 0.0f) {
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const uint32_t h = iq2;
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const float base = h < n_head_log2 ? m0 : m1;
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const int exp = h < n_head_log2 ? h + 1 : 2*(h - n_head_log2) + 1;
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slope = pow(base, exp);
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}
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threadgroup half * sq = (threadgroup half *) (shared + 0*D); // holds the query data
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threadgroup float * ss = (threadgroup float *) (shared + 2*sgitg*SH + 1*D); // scratch buffer for attention and diagonal matrix
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threadgroup half * sr = (threadgroup half *) (shared + sgitg*D + 1*T); // scratch buffer for the results
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// store the result for all queries in local memory in 8x8 matrices (the O matrix from the paper)
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half lo[D/NW];
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// load heads from Q to shared memory
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device const float * q_ = (device const float *) ((device const char *) q + (iq1*nb01 + iq2*nb02 + iq3*nb03));
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for (short i = tiisg; i < D; i += NW) {
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if (iq1 < ne01) {
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sq[i] = (half) q_[i];
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} else {
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sq[i] = 0.0h;
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}
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}
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// zero out lo
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for (short i = tiisg; i < D; i += NW) {
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lo[i/NW] = 0.0h;
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}
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// zero out shared memory SH
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for (short i = tiisg; i < SH; i += NW) {
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ss[i] = 0.0h;
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}
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threadgroup_barrier(mem_flags::mem_threadgroup);
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{
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float S = { 0.0h };
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float M = { -FLT_MAX/2 };
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// assume K and V are same shape
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const short ne22 = ne12;
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const short ne23 = ne13;
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// broadcast
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const short rk2 = ne02/ne12;
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const short rk3 = ne03/ne13;
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const short rv2 = ne02/ne22;
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const short rv3 = ne03/ne23;
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// k indices
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const short ik2 = iq2 / rk2;
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const short ik3 = iq3 / rk3;
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// v indices
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const short iv2 = iq2 / rv2;
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const short iv3 = iq3 / rv3;
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// load the queries from shared memory into local memory
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half mq[D];
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for (short ii = 0; ii < D; ii += NW) {
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short i = ii + tiisg;
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mq[i] = sq[i];
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}
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// pointer to the mask
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device const half * mp = (device const half *) (mask + iq1*nb31);
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// loop over the KV cache
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// each simdgroup handles blocks of Q rows and C columns
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for (int ic0 = 0; ic0 < ne11; ic0 += C*nsg) {
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const int ic = ic0 + C*sgitg;
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if (ic >= ne11) {
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break;
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}
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// Q*K^T
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{
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// #pragma unroll
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for (short cc = 0; cc < C; ++cc) {
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float mqk = 0.0;
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device const block_q * pk = (device const block_q *) ((device const char *) k + ((ic + cc)*nb11 + ik2*nb12 + ik3*nb13));
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#pragma unroll
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for (short ii = 0; ii < D; ii += NW) {
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const short i = ii + tiisg;
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mqk += mq[i] * dequantize_load(pk, i);
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}
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// reduce the results from the threads in the simdgroup
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mqk += simd_shuffle_down(mqk, 16);
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mqk += simd_shuffle_down(mqk, 8);
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mqk += simd_shuffle_down(mqk, 4);
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mqk += simd_shuffle_down(mqk, 2);
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mqk += simd_shuffle_down(mqk, 1);
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// mqk = mqk*scale + mask*slope
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if (tiisg == 0) {
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mqk *= scale;
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if (logit_softcap != 0.0f) {
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mqk = logit_softcap*precise::tanh(mqk);
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}
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if (mask != q) {
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mqk += (mp[ic + cc])*slope;
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}
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ss[cc] = mqk;
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}
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}
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}
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// online softmax
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{
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const short p = tiisg;
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const float m = M;
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const float s = ss[p];
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M = simd_max(max(M, s));
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const float ms = exp(m - M);
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const float vs = exp(s - M);
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S = S*ms + simd_sum(vs);
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// the P matrix from the paper (Q rows, C columns)
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ss[p] = vs;
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// O = diag(ms)*O
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#pragma unroll
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for (short ii = 0; ii < D; ii += NW) {
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const short i = ii + tiisg;
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lo[i/NW] *= ms;
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}
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}
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// O = O + (Q*K^T)*V
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{
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// #pragma unroll
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for (short cc = 0; cc < C; ++cc) {
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device const block_q * pv = (device const block_q *) ((device const char *) v + ((ic + cc)*nb21 + iv2*nb22 + iv3*nb23));
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#pragma unroll
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for (short ii = 0; ii < D; ii += NW) {
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const short i = ii + tiisg;
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lo[i/NW] += dequantize_load(pv, i) * ss[cc];
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}
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}
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}
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}
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// these are needed for reducing the results from the simdgroups (reuse the ss buffer)
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if (tiisg == 0) {
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ss[0] = S;
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ss[1] = M;
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}
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}
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// store results to shared memory
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for (short ii = 0; ii < D; ii += NW) {
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short i = ii + tiisg;
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sr[i] = lo[ii/NW];
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}
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threadgroup_barrier(mem_flags::mem_threadgroup);
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// parallel reduce
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for (short r = nsg/2; r > 0; r >>= 1) {
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if (sgitg < r) {
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const float S0 = ss[ 0];
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const float S1 = ss[r*SH + 0];
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const float M0 = ss[ 1];
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const float M1 = ss[r*SH + 1];
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const float M = max(M0, M1);
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const float ms0 = exp(M0 - M);
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const float ms1 = exp(M1 - M);
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const float S = S0*ms0 + S1*ms1;
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if (tiisg == 0) {
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ss[0] = S;
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ss[1] = M;
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}
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// O_0 = diag(ms0)*O_0 + diag(ms1)*O_1
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for (short ii = 0; ii < D; ii += NW) {
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short i = ii + tiisg;
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sr[i] = sr[i]*ms0 + sr[i + r*D]*ms1;
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}
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}
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threadgroup_barrier(mem_flags::mem_threadgroup);
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}
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// final rescale with 1/S and store to global memory
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if (sgitg == 0) {
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const float S = ss[0];
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for (short ii = 0; ii < D; ii += NW) {
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short i = ii + tiisg;
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dst[(iq3*ne2*ne1 + iq2 + (iq1)*ne1)*D + i] = sr[i]/S;
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}
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}
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}
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template [[host_name("kernel_flash_attn_ext_scalar_f16_h32")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<half, dequantize_load_f16, 32>;
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template [[host_name("kernel_flash_attn_ext_scalar_f16_h64")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<half, dequantize_load_f16, 64>;
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template [[host_name("kernel_flash_attn_ext_scalar_f16_h96")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<half, dequantize_load_f16, 96>;
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template [[host_name("kernel_flash_attn_ext_scalar_f16_h128")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<half, dequantize_load_f16, 128>;
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template [[host_name("kernel_flash_attn_ext_scalar_q8_0_h32")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<block_q8_0, dequantize_load_q8_0, 32>;
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template [[host_name("kernel_flash_attn_ext_scalar_q8_0_h64")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<block_q8_0, dequantize_load_q8_0, 64>;
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template [[host_name("kernel_flash_attn_ext_scalar_q8_0_h96")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<block_q8_0, dequantize_load_q8_0, 96>;
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template [[host_name("kernel_flash_attn_ext_scalar_q8_0_h128")]] kernel flash_attn_ext_f16_t kernel_flash_attn_ext_scalar_f16<block_q8_0, dequantize_load_q8_0, 128>;
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template<typename T0, typename T1>
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kernel void kernel_cpy(
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device const void * src0,
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