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1 // Adapted from
2 // https://github.com/sgl-project/sglang/blob/main/python/sglang/kernels/aot/csrc/cpu/store_cache.cpp
3 //
4 // DeepSeek-V4 fused Q RMSNorm+RoPE / KV RoPE+UE8M0-quant+paged-cache-insert
5 // kernel for the fp8_ds_mla cache layout. Not a port of upstream's
6 // `set_k_and_s_cpu`/`quant_to_nope_fp8_rope_bf16_pack_cpu` -- their
7 // pool_kv/pool_score signature doesn't apply to vLLM's layout. This is the
8 // CPU counterpart to vLLM's own CUDA kernel
9 // (`fused_deepseek_v4_qnorm_rope_kv_insert_kernel.cu`); see
10 // `DeepseekV4Attention._fused_qnorm_rope_kv_insert_cpu` (attention.py) for
11 // the eager reference this replaces.
12 //
13 // clang-format off
14
15 #include <algorithm>
16 #include <cmath>
17 #include <vector>
18
19 #include "common.h"
20 #include "vec.h"
21
22 #if !defined(CPU_CAPABILITY_AVX512)
23 static_assert(false,
24 "store_cache.cpp is only ever compiled into the AVX512+AMX-flagged "
25 "_C target (see cmake/cpu_extension.cmake's VLLM_EXT_SRC_SGL) and "
26 "relies on that unconditionally -- CPU_CAPABILITY_AVX512 must be "
27 "defined here.");
28 #endif
29
30 namespace {
31
32 constexpr int64_t kRopeDim = 64;
33 constexpr int64_t kQuantBlock = 64;
34 constexpr float kFp8Max = 448.0f;
35 constexpr float kFp8Min = -448.0f;
36 constexpr float kQuantEps = 1e-4f;
37
38 inline void apply_gptj_rope_inplace(float* __restrict__ x, const float* __restrict__ cos, const float* __restrict__ sin, int64_t half_dim) {
39 for (int64_t i = 0; i < half_dim; ++i) {
40 const float e = x[2 * i];
41 const float o = x[2 * i + 1];
42 x[2 * i] = e * cos[i] - o * sin[i];
43 x[2 * i + 1] = e * sin[i] + o * cos[i];
44 }
45 }
46
47 // AVX512 tile-quantization, adapted verbatim from SGLang's
48 // `store_cache.cpp` (`quant_to_nope_fp8_rope_bf16_pack_cpu`'s
49 // `cvt_fp32x16_to_fp8x16`/`quantize_tile_avx512`): per-64-element tile,
50 // computes the UE8M0 power-of-two scale and quantizes to fp8_e4m3fn with
51 // RNE rounding via bit manipulation instead of a per-element scalar
52 // `at::Float8_e4m3fn` cast. Subnormal-magnitude fp8 lanes are flushed to
53 // zero (matches SGLang's own convention, `cvt_fp32x16_to_fp8x16`) --
54 // vLLM's own AVX512 dequant of this cache (`flash_mla.cpp`'s
55 // `CVT_FP8_TO_BF16_EXT`) doesn't reconstruct exact subnormal magnitudes
56 // either way, so there is nothing to preserve by rounding them exactly on
57 // the write side.
58 #if defined(CPU_CAPABILITY_AVX512)
59
60 // Vectorized float32x16 -> fp8_e4m3fn x16 using AVX512 bit manipulation.
61 // Implements RNE (round-to-nearest-even). Flushes subnormal fp8 to zero.
62 // fp8_e4m3fn: sign(1), exp(4, bias=7), mant(3), no inf/nan special values.
63 // Normal: exp_field in [1..15], value = 2^(exp-7) * (1 + mant/8)
64 // Input assumed clamped to [-448, 448].
65 inline __m128i cvt_fp32x16_to_fp8x16(__m512 input) {
66 __m512i bits = _mm512_castps_si512(input);
67
68 // Extract sign -> bit 7 of fp8 byte
69 __m512i signs = _mm512_srli_epi32(_mm512_and_si512(bits, _mm512_set1_epi32(0x80000000)), 24);
70
71 // Absolute value bits
72 __m512i abs_bits = _mm512_and_si512(bits, _mm512_set1_epi32(0x7FFFFFFF));
73
74 // Float32 biased exponent
75 __m512i f32_exp = _mm512_srli_epi32(abs_bits, 23);
76
77 // Float32 mantissa (23 bits)
78 __m512i f32_mant = _mm512_and_si512(abs_bits, _mm512_set1_epi32(0x7FFFFF));
79
80 // fp8_exp = f32_exp - 120 (rebias from 127 to 7)
81 __m512i fp8_exp = _mm512_sub_epi32(f32_exp, _mm512_set1_epi32(120));
82
83 // Top 3 mantissa bits
84 __m512i mant3 = _mm512_srli_epi32(f32_mant, 20);
85
86 // RNE rounding: round_bit = bit 19, sticky = bits[18:0]
87 __m512i round_bit = _mm512_and_si512(_mm512_srli_epi32(f32_mant, 19), _mm512_set1_epi32(1));
88 __m512i sticky_bits = _mm512_and_si512(f32_mant, _mm512_set1_epi32(0x7FFFF));
89 __mmask16 has_sticky = _mm512_cmpneq_epi32_mask(sticky_bits, _mm512_setzero_si512());
90
91 // Round up if round_bit AND (sticky OR lsb_of_mant3)
92 __m512i lsb = _mm512_and_si512(mant3, _mm512_set1_epi32(1));
93 __m512i sticky_or_lsb = _mm512_or_si512(_mm512_maskz_mov_epi32(has_sticky, _mm512_set1_epi32(1)), lsb);
94 __m512i do_round = _mm512_and_si512(round_bit, sticky_or_lsb);
95 mant3 = _mm512_add_epi32(mant3, do_round);
96
97 // Mantissa overflow (mant3 == 8) -> increment exponent, zero mantissa
98 __mmask16 mant_ovf = _mm512_cmpeq_epi32_mask(mant3, _mm512_set1_epi32(8));
99 mant3 = _mm512_mask_mov_epi32(mant3, mant_ovf, _mm512_setzero_si512());
100 fp8_exp = _mm512_mask_add_epi32(fp8_exp, mant_ovf, fp8_exp, _mm512_set1_epi32(1));
101
102 // Clamp exponent: max 15
103 fp8_exp = _mm512_min_epi32(fp8_exp, _mm512_set1_epi32(15));
104
105 // Result: (fp8_exp << 3) | mant3
106 __m512i result = _mm512_or_si512(_mm512_slli_epi32(fp8_exp, 3), mant3);
107
108 // Flush to zero: if f32_exp < 121 (would be subnormal in fp8), output 0
109 __mmask16 is_subnormal_or_zero = _mm512_cmplt_epi32_mask(f32_exp, _mm512_set1_epi32(121));
110 result = _mm512_mask_mov_epi32(result, is_subnormal_or_zero, _mm512_setzero_si512());
111
112 // Add sign
113 result = _mm512_or_si512(result, signs);
114
115 // Pack 16 x i32 -> 16 x i8
116 return _mm512_cvtepi32_epi8(result);
117 }
118
119 // Process one tile (64 bf16 values): find amax, compute scale, quantize to fp8.
120 inline uint8_t quantize_tile_avx512(const at::BFloat16* __restrict__ src, uint8_t* __restrict__ dst) {
121 // Load 64 bf16 -> 4 x 16 floats
122 __m256i bf16_0 = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(src));
123 __m256i bf16_1 = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(src + 16));
124 __m256i bf16_2 = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(src + 32));
125 __m256i bf16_3 = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(src + 48));
126
127 __m512 f0 = _mm512_castsi512_ps(_mm512_slli_epi32(_mm512_cvtepu16_epi32(bf16_0), 16));
128 __m512 f1 = _mm512_castsi512_ps(_mm512_slli_epi32(_mm512_cvtepu16_epi32(bf16_1), 16));
129 __m512 f2 = _mm512_castsi512_ps(_mm512_slli_epi32(_mm512_cvtepu16_epi32(bf16_2), 16));
130 __m512 f3 = _mm512_castsi512_ps(_mm512_slli_epi32(_mm512_cvtepu16_epi32(bf16_3), 16));
131
132 // Absolute values
133 const __m512i abs_mask_i = _mm512_set1_epi32(0x7FFFFFFF);
134 __m512 abs0 = _mm512_castsi512_ps(_mm512_and_si512(_mm512_castps_si512(f0), abs_mask_i));
135 __m512 abs1 = _mm512_castsi512_ps(_mm512_and_si512(_mm512_castps_si512(f1), abs_mask_i));
136 __m512 abs2 = _mm512_castsi512_ps(_mm512_and_si512(_mm512_castps_si512(f2), abs_mask_i));
137 __m512 abs3 = _mm512_castsi512_ps(_mm512_and_si512(_mm512_castps_si512(f3), abs_mask_i));
138
139 // Horizontal max
140 __m512 max01 = _mm512_max_ps(abs0, abs1);
141 __m512 max23 = _mm512_max_ps(abs2, abs3);
142 __m512 max0123 = _mm512_max_ps(max01, max23);
143 float amax = _mm512_reduce_max_ps(max0123);
144
145 // Scale computation
146 float scale = std::max(amax / kFp8Max, kQuantEps);
147 float ceil_log2 = std::ceil(std::log2(scale));
148 float scale_pow2 = std::exp2(ceil_log2);
149 float scale_inv = 1.0f / scale_pow2;
150
151 int exponent = static_cast<int>(ceil_log2);
152 uint8_t scale_uint8 = static_cast<uint8_t>(exponent + 127);
153
154 // Scale all values
155 __m512 vinv = _mm512_set1_ps(scale_inv);
156 __m512 s0 = _mm512_mul_ps(f0, vinv);
157 __m512 s1 = _mm512_mul_ps(f1, vinv);
158 __m512 s2 = _mm512_mul_ps(f2, vinv);
159 __m512 s3 = _mm512_mul_ps(f3, vinv);
160
161 // Clamp
162 __m512 vmax = _mm512_set1_ps(kFp8Max);
163 __m512 vmin = _mm512_set1_ps(kFp8Min);
164 s0 = _mm512_max_ps(_mm512_min_ps(s0, vmax), vmin);
165 s1 = _mm512_max_ps(_mm512_min_ps(s1, vmax), vmin);
166 s2 = _mm512_max_ps(_mm512_min_ps(s2, vmax), vmin);
167 s3 = _mm512_max_ps(_mm512_min_ps(s3, vmax), vmin);
168
169 // Vectorized float -> fp8 conversion (16 values at a time)
170 __m128i fp8_0 = cvt_fp32x16_to_fp8x16(s0);
171 __m128i fp8_1 = cvt_fp32x16_to_fp8x16(s1);
172 __m128i fp8_2 = cvt_fp32x16_to_fp8x16(s2);
173 __m128i fp8_3 = cvt_fp32x16_to_fp8x16(s3);
174
175 _mm_storeu_si128(reinterpret_cast<__m128i*>(dst), fp8_0);
176 _mm_storeu_si128(reinterpret_cast<__m128i*>(dst + 16), fp8_1);
177 _mm_storeu_si128(reinterpret_cast<__m128i*>(dst + 32), fp8_2);
178 _mm_storeu_si128(reinterpret_cast<__m128i*>(dst + 48), fp8_3);
179
180 return scale_uint8;
181 }
182
183 #endif // CPU_CAPABILITY_AVX512
184
185 template <typename scalar_t>
186 static void qnorm_rope_kv_insert_impl(
187 scalar_t* __restrict__ q_out, // [num_tokens_full, q_head_padded, head_dim]
188 uint8_t* __restrict__ cache, // [num_blocks, cache_row_stride] bytes
189 const scalar_t* __restrict__ q, // [num_tokens_full, num_heads_q, head_dim]
190 const scalar_t* __restrict__ kv, // [>=num_tokens_insert, head_dim]
191 const int64_t* __restrict__ positions, // [num_tokens_full]
192 const int64_t* __restrict__ slot_mapping, // [num_tokens_insert]
193 const float* __restrict__ cos_sin_cache, // [max_pos, rope_dim] (first half cos, second half sin)
194 int64_t num_tokens_full,
195 int64_t num_heads_q,
196 int64_t q_head_padded,
197 int64_t head_dim,
198 int64_t nope_dim,
199 int64_t num_quant_blocks,
200 int64_t token_data_bytes,
201 int64_t scale_bytes_per_token,
202 int64_t num_tokens_insert,
203 int64_t cache_block_size,
204 int64_t cache_row_stride,
205 float eps) {
206 const int64_t rope_half = kRopeDim / 2;
207
208 // Q: per-head weight-free RMSNorm + GPT-J RoPE on the last rope_dim dims.
209 at::parallel_for(0, num_tokens_full * num_heads_q, 0, [&](int64_t begin, int64_t end) {
210 std::vector<float> buf(head_dim);
211 for (int64_t idx = begin; idx < end; ++idx) {
212 const int64_t t = idx / num_heads_q;
213 const int64_t h = idx % num_heads_q;
214 const scalar_t* q_th = q + (t * num_heads_q + h) * head_dim;
215
216 float sq_sum = 0.f;
217 for (int64_t i = 0; i < head_dim; ++i) {
218 const float v = static_cast<float>(q_th[i]);
219 buf[i] = v;
220 sq_sum += v * v;
221 }
222 const float inv_rms = 1.0f / std::sqrt(sq_sum / static_cast<float>(head_dim) + eps);
223 for (int64_t i = 0; i < head_dim; ++i)
224 buf[i] *= inv_rms;
225
226 const int64_t pos = positions[t];
227 const float* cos = cos_sin_cache + pos * kRopeDim;
228 const float* sin = cos + rope_half;
229 apply_gptj_rope_inplace(buf.data() + nope_dim, cos, sin, rope_half);
230
231 scalar_t* out_th = q_out + (t * q_head_padded + h) * head_dim;
232 for (int64_t i = 0; i < head_dim; ++i)
233 out_th[i] = static_cast<scalar_t>(buf[i]);
234 }
235 });
236
237 // KV: GPT-J RoPE (no RMSNorm) + bf16 round-trip + UE8M0 FP8 quant + paged insert.
238 at::parallel_for(0, num_tokens_insert, 0, [&](int64_t begin, int64_t end) {
239 std::vector<float> buf(head_dim);
240 std::vector<at::BFloat16> nope_bf16(nope_dim);
241 for (int64_t t = begin; t < end; ++t) {
242 const int64_t slot_id = slot_mapping[t];
243 if (slot_id < 0) continue;
244
245 const scalar_t* kv_t = kv + t * head_dim;
246 for (int64_t i = 0; i < head_dim; ++i)
247 buf[i] = static_cast<float>(kv_t[i]);
248
249 const int64_t pos = positions[t];
250 const float* cos = cos_sin_cache + pos * kRopeDim;
251 const float* sin = cos + rope_half;
252 apply_gptj_rope_inplace(buf.data() + nope_dim, cos, sin, rope_half);
253
254 // bf16 round-trip, matching the CUDA kernel's double convert.
255 for (int64_t i = 0; i < head_dim; ++i)
256 buf[i] = static_cast<float>(at::BFloat16(buf[i]));
257 for (int64_t i = 0; i < nope_dim; ++i)
258 nope_bf16[i] = at::BFloat16(buf[i]);
259
260 const int64_t block_idx = slot_id / cache_block_size;
261 const int64_t pos_in_block = slot_id % cache_block_size;
262 uint8_t* const block_base = cache + block_idx * cache_row_stride;
263 uint8_t* const token_fp8_ptr = block_base + pos_in_block * token_data_bytes;
264 uint8_t* const token_bf16_ptr = token_fp8_ptr + nope_dim;
265 uint8_t* const token_scale_ptr =
266 block_base + cache_block_size * token_data_bytes + pos_in_block * scale_bytes_per_token;
267
268 // AVX512 tile-quantization (SGLang's `quantize_tile_avx512`), one
269 // 64-wide tile per iteration.
270 for (int64_t qb = 0; qb < num_quant_blocks; ++qb) {
271 const at::BFloat16* tile_src = nope_bf16.data() + qb * kQuantBlock;
272 uint8_t* tile_dst = token_fp8_ptr + qb * kQuantBlock;
273 token_scale_ptr[qb] = quantize_tile_avx512(tile_src, tile_dst);
274 }
275 token_scale_ptr[num_quant_blocks] = 0;
276
277 auto* out_rope = reinterpret_cast<at::BFloat16*>(token_bf16_ptr);
278 for (int64_t i = 0; i < kRopeDim; ++i)
279 out_rope[i] = at::BFloat16(buf[nope_dim + i]);
280 }
281 });
282 }
283
284 } // anonymous namespace
285
286 at::Tensor fused_qnorm_rope_kv_insert_cpu(
287 at::Tensor& q,
288 at::Tensor& kv,
289 at::Tensor& positions,
290 at::Tensor& swa_kv_cache_2d,
291 at::Tensor& slot_mapping,
292 at::Tensor& cos_sin_cache,
293 int64_t q_head_padded,
294 double eps,
295 int64_t cache_block_size) {
296 TORCH_CHECK(
297 q.dim() == 3 && (q.scalar_type() == at::kBFloat16 || q.scalar_type() == at::kHalf),
298 "fused_qnorm_rope_kv_insert_cpu: q must be bf16/fp16 [num_tokens, num_heads_q, head_dim]");
299 TORCH_CHECK(kv.dim() == 2 && kv.scalar_type() == q.scalar_type(), "fused_qnorm_rope_kv_insert_cpu: kv dtype must match q");
300 TORCH_CHECK(positions.scalar_type() == at::kLong, "fused_qnorm_rope_kv_insert_cpu: positions must be int64");
301 TORCH_CHECK(slot_mapping.scalar_type() == at::kLong, "fused_qnorm_rope_kv_insert_cpu: slot_mapping must be int64");
302 TORCH_CHECK(
303 swa_kv_cache_2d.dim() == 2 && swa_kv_cache_2d.scalar_type() == at::kByte,
304 "fused_qnorm_rope_kv_insert_cpu: swa_kv_cache_2d must be a 2D uint8 tensor");
305 TORCH_CHECK(
306 q.device().is_cpu() && kv.device().is_cpu() && positions.device().is_cpu() && slot_mapping.device().is_cpu() &&
307 swa_kv_cache_2d.device().is_cpu() && cos_sin_cache.device().is_cpu(),
308 "fused_qnorm_rope_kv_insert_cpu: all inputs must be CPU tensors");
309
310 const int64_t num_tokens_full = q.size(0);
311 const int64_t num_heads_q = q.size(1);
312 const int64_t head_dim = q.size(2);
313 const int64_t nope_dim = head_dim - kRopeDim;
314 TORCH_CHECK(nope_dim > 0 && nope_dim % kQuantBlock == 0, "fused_qnorm_rope_kv_insert_cpu: unexpected head_dim");
315 const int64_t num_quant_blocks = nope_dim / kQuantBlock;
316 const int64_t scale_bytes_per_token = num_quant_blocks + 1;
317 const int64_t token_data_bytes = nope_dim + kRopeDim * 2;
318
319 TORCH_CHECK(q_head_padded >= num_heads_q, "fused_qnorm_rope_kv_insert_cpu: q_head_padded must be >= num_heads_q");
320 TORCH_CHECK(kv.size(1) == head_dim, "fused_qnorm_rope_kv_insert_cpu: kv head_dim must match q");
321 TORCH_CHECK(positions.numel() == num_tokens_full, "fused_qnorm_rope_kv_insert_cpu: positions must have num_tokens_full entries");
322
323 const int64_t num_tokens_insert = slot_mapping.size(0);
324 TORCH_CHECK(kv.size(0) >= num_tokens_insert, "fused_qnorm_rope_kv_insert_cpu: kv must have >= num_tokens_insert rows");
325 TORCH_CHECK(cache_block_size > 0, "fused_qnorm_rope_kv_insert_cpu: cache_block_size must be positive");
326 TORCH_CHECK(
327 cos_sin_cache.scalar_type() == at::kFloat && cos_sin_cache.is_contiguous(),
328 "fused_qnorm_rope_kv_insert_cpu: cos_sin_cache must be float32 and "
329 "contiguous (convert once in Python)");
330 TORCH_CHECK(
331 q.is_contiguous() && kv.is_contiguous() && positions.is_contiguous() && slot_mapping.is_contiguous(),
332 "fused_qnorm_rope_kv_insert_cpu: q/kv/positions/slot_mapping must be contiguous");
333
334 // swa_kv_cache_2d is mutated in place; index via its real row stride
335 // rather than assuming it equals cache_block_size * (token_data_bytes +
336 // scale_bytes_per_token) -- a paged/pooled buffer's row stride is not
337 // guaranteed to match the logical per-block byte count.
338 const int64_t cache_row_stride = swa_kv_cache_2d.stride(0);
339
340 auto q_out = at::zeros({num_tokens_full, q_head_padded, head_dim}, q.options());
341
342 AT_DISPATCH_REDUCED_FLOATING_TYPES(q.scalar_type(), "fused_qnorm_rope_kv_insert_cpu", [&] {
343 qnorm_rope_kv_insert_impl<scalar_t>(
344 q_out.data_ptr<scalar_t>(),
345 swa_kv_cache_2d.data_ptr<uint8_t>(),
346 q.data_ptr<scalar_t>(),
347 kv.data_ptr<scalar_t>(),
348 positions.data_ptr<int64_t>(),
349 slot_mapping.data_ptr<int64_t>(),
350 cos_sin_cache.data_ptr<float>(),
351 num_tokens_full,
352 num_heads_q,
353 q_head_padded,
354 head_dim,
355 nope_dim,
356 num_quant_blocks,
357 token_data_bytes,
358 scale_bytes_per_token,
359 num_tokens_insert,
360 cache_block_size,
361 cache_row_stride,
362 static_cast<float>(eps));
363 });
364
365 return q_out;
366 }
367
368 // vLLM-native: inverse GPT-J RoPE for `_o_proj`'s output de-rotation (undoes
369 // the query's own rotation on the attention output before the low-rank
370 // wo_a/wo_b projection -- see the math writeup in cpu_sparse.py's `_o_proj`).
371 // Upstream needs this same step (`fused_rope_inplace(..., inverse=True)` in
372 // `deepseek_v4.py`) but only has a CUDA-JIT implementation, no CPU kernel --
373 // this fills that gap rather than porting one. Replaces the eager reference
374 // in `DeepseekV4CPUAttention._o_proj` (cpu_sparse.py). Uses the same
375 // half-half `[cos...|sin...]` cache layout as `apply_gptj_rope_inplace`
376 // above (not upstream's interleaved `[c0,s0,c1,s1,...]` layout).
377 //
378 // AVX512 path: NoPE dtype-convert copy uses `vec.h`'s `load_float_vec`
379 // (16-wide bf16/fp16 -> fp32). The interleaved (even,odd) rotation widens
380 // 32 raw elements to fp32 via `load_float_vec2`, round-trips them through
381 // an aligned scratch buffer, then gathers/scatters the even/odd lanes --
382 // same technique as `indexer.cpp`'s Q-side RoPE, since `cos`/`sin` here
383 // are two contiguous halves rather than per-pair-interleaved.
384 at::Tensor inverse_gptj_rope_o_proj_cpu(
385 at::Tensor& o, // [num_tokens, num_heads, head_dim]
386 at::Tensor& positions, // [num_tokens]
387 at::Tensor& cos_sin_cache, // [max_pos, rope_dim] (first half cos, second half sin)
388 int64_t rope_dim) {
389 TORCH_CHECK(o.dim() == 3, "inverse_gptj_rope_o_proj_cpu: o must be 3D [num_tokens, num_heads, head_dim]");
390 TORCH_CHECK(positions.scalar_type() == at::kLong, "inverse_gptj_rope_o_proj_cpu: positions must be int64");
391 TORCH_CHECK(
392 o.device().is_cpu() && positions.device().is_cpu() && cos_sin_cache.device().is_cpu(),
393 "inverse_gptj_rope_o_proj_cpu: all inputs must be CPU tensors");
394
395 const int64_t num_tokens = o.size(0);
396 const int64_t num_heads = o.size(1);
397 const int64_t head_dim = o.size(2);
398 const int64_t nope_dim = head_dim - rope_dim;
399 const int64_t half_dim = rope_dim / 2;
400 TORCH_CHECK(nope_dim >= 0, "inverse_gptj_rope_o_proj_cpu: rope_dim must not exceed head_dim");
401 // Only ever called with head_dim=512, rope_dim=64 (DeepseekV4CPUAttention's
402 // _o_proj); the AVX512 loops below process 16 elements/pairs per iteration
403 // with no scalar remainder, so require both to divide evenly.
404 TORCH_CHECK(nope_dim % 16 == 0 && half_dim % 16 == 0,
405 "inverse_gptj_rope_o_proj_cpu: head_dim-rope_dim and rope_dim/2 must be multiples of 16");
406 TORCH_CHECK(
407 cos_sin_cache.scalar_type() == at::kFloat && cos_sin_cache.is_contiguous(),
408 "inverse_gptj_rope_o_proj_cpu: cos_sin_cache must be float32 and "
409 "contiguous (convert once in Python)");
410 TORCH_CHECK(o.is_contiguous() && positions.is_contiguous(),
411 "inverse_gptj_rope_o_proj_cpu: o/positions must be contiguous");
412
413 auto out = at::empty({num_tokens, num_heads, head_dim}, o.options().dtype(at::kFloat));
414
415 AT_DISPATCH_REDUCED_FLOATING_TYPES(o.scalar_type(), "inverse_gptj_rope_o_proj_cpu", [&] {
416 const scalar_t* o_ptr = o.data_ptr<scalar_t>();
417 float* out_ptr = out.data_ptr<float>();
418 const int64_t* pos_ptr = positions.data_ptr<int64_t>();
419 const float* cos_sin_ptr = cos_sin_cache.data_ptr<float>();
420
421 at::parallel_for(0, num_tokens * num_heads, 0, [&](int64_t begin, int64_t end) {
422 for (int64_t idx = begin; idx < end; ++idx) {
423 const int64_t t = idx / num_heads;
424 const int64_t h = idx % num_heads;
425 const scalar_t* src = o_ptr + (t * num_heads + h) * head_dim;
426 float* dst = out_ptr + (t * num_heads + h) * head_dim;
427
428 // head_dim=512, rope_dim=64 in practice (checked above), so
429 // nope_dim/half_dim are always multiples of 16 -- no scalar
430 // remainder needed.
431 for (int64_t i = 0; i < nope_dim; i += 16) {
432 load_float_vec<scalar_t>(src + i).store(dst + i);
433 }
434
435 const int64_t pos = pos_ptr[t];
436 const float* cos = cos_sin_ptr + pos * rope_dim;
437 const float* sin = cos + half_dim;
438
439 {
440 // Permute-based (no gather/scatter), adapted from SGLang's
441 // `rope.cpp` (`apply_rotary_emb_row`) the same way as
442 // compressor.cpp's `apply_gptj_rope_inplace`: `_mm512_permute_ps`
443 // swaps each pair's (even, odd) lanes in one shuffle, and cos/sin
444 // -- loaded as 8 contiguous values -- are duplicated pairwise via
445 // `_mm512_permutexvar_ps` to align with that layout, since our
446 // cos/sin are two separate flat arrays rather than SGLang's
447 // pre-interleaved freqs. Two batches of 8 pairs per iteration
448 // (matching `load_float_vec2`'s 16+16-lane split).
449 const __m512i dup_idx = _mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0);
450 // Inverse GPT-J rotation negates the sin broadcast on the odd
451 // (imag) lane of each pair; the even (real) lane keeps sin's sign.
452 const __m512 sign_mask = _mm512_castsi512_ps(_mm512_set_epi32(
453 (int)0x80000000, 0, (int)0x80000000, 0, (int)0x80000000, 0, (int)0x80000000, 0,
454 (int)0x80000000, 0, (int)0x80000000, 0, (int)0x80000000, 0, (int)0x80000000, 0));
455 for (int64_t j = 0; j < half_dim; j += 16) {
456 const scalar_t* rsrc = src + nope_dim + 2 * j;
457 at::vec::Vectorized<float> x0, x1;
458 std::tie(x0, x1) = load_float_vec2(rsrc);
459 float* rdst = dst + nope_dim + 2 * j;
460
461 __m512 xv0 = x0;
462 __m512 cos_b0 = _mm512_permutexvar_ps(dup_idx, _mm512_castps256_ps512(_mm256_loadu_ps(cos + j)));
463 __m512 sin_b0 = _mm512_permutexvar_ps(dup_idx, _mm512_castps256_ps512(_mm256_loadu_ps(sin + j)));
464 __m512 out0 = _mm512_fmadd_ps(
465 xv0, cos_b0, _mm512_mul_ps(_mm512_permute_ps(xv0, 0xB1), _mm512_xor_ps(sin_b0, sign_mask)));
466 _mm512_storeu_ps(rdst, out0);
467
468 __m512 xv1 = x1;
469 __m512 cos_b1 = _mm512_permutexvar_ps(dup_idx, _mm512_castps256_ps512(_mm256_loadu_ps(cos + j + 8)));
470 __m512 sin_b1 = _mm512_permutexvar_ps(dup_idx, _mm512_castps256_ps512(_mm256_loadu_ps(sin + j + 8)));
471 __m512 out1 = _mm512_fmadd_ps(
472 xv1, cos_b1, _mm512_mul_ps(_mm512_permute_ps(xv1, 0xB1), _mm512_xor_ps(sin_b1, sign_mask)));
473 _mm512_storeu_ps(rdst + 16, out1);
474 }
475 }
476 }
477 });
478 });
479
480 return out;
481 }