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1 #pragma once
2
3 #include <hip/hip_runtime.h>
4 #include "base.h"
5 #include <hip/hip_fp16.h>
6
7 namespace quickreduce {
8
9 struct CodecBase {
10 const int thread;
11 const int rank;
12 const int group_leader;
13 __quickreduce_device_inline__ CodecBase(int thread, int rank)
14 : thread(thread),
15 rank(rank),
16 group_leader((threadIdx.x / kThreadGroupSize) * kThreadGroupSize) {
17 set_fp16_ovfl(true);
18 }
19 };
20
21 // Default full precision codec.
22 template <typename T, int world_size>
23 struct CodecFP : public CodecBase {
24 static constexpr int kWorldSize = world_size;
25 static constexpr int kRankAtoms = kAtoms / kWorldSize;
26
27 // Codec tile size process by this workgroup.
28 // Each thread processes atoms of f16x8_t (16B).
29 static constexpr int kRankTransmittedTileSize =
30 kBlockSize * kRankAtoms * sizeof(int32x4_t);
31 static_assert(kRankTransmittedTileSize % 16 == 0,
32 "kRankTransmittedTileSize must be 16B aligned.");
33
34 // Total tile size for the collective communication.
35 static constexpr int kTransmittedTileSize =
36 kRankTransmittedTileSize * kWorldSize;
37
38 __quickreduce_device_inline__ CodecFP(int thread, int rank)
39 : CodecBase(thread, rank) {}
40
41 __quickreduce_device_inline__ void send(int32x4_t* __restrict__ send_buffer,
42 const int32x4_t* __restrict__ data) {
43 for (int i = 0; i < kRankAtoms; i++) {
44 __builtin_nontemporal_store(data[i], send_buffer + thread);
45 send_buffer += kAtomStride;
46 }
47 }
48
49 __quickreduce_device_inline__ void recv(int32x4_t** __restrict__ recv_buffer,
50 int32x4_t* __restrict__ data) {
51 for (int i = 0; i < kRankAtoms; i++) {
52 data[i] = __builtin_nontemporal_load(*recv_buffer + thread);
53 *recv_buffer += kAtomStride;
54 }
55 }
56 };
57
58 // Int4 symmetric quantization codec.
59 // We quantize the FP16 data to block-scaled Int4 in blocks of 4 *
60 // kThreadGroupSize.
61 template <typename T, int world_size>
62 struct CodecQ4 : public CodecBase {
63 static constexpr int kWorldSize = world_size;
64
65 // Codec tile size process by this workgroup.
66 // Each threads processes a fragment of fp16x8_t (16B),
67 // into a int4x8_t (4B) and a fp16 scale shared among 32 values.
68 static constexpr int kRankAtoms = kAtoms / kWorldSize;
69 static constexpr int kRankTileStride = 1152;
70 static constexpr int kRankTileScaleOffset = 1024;
71 static constexpr int kRankTransmittedTileSize = kRankTileStride * kRankAtoms;
72 static_assert(kRankTransmittedTileSize % 16 == 0,
73 "kRankTransmittedTileSize must be 16B aligned.");
74
75 static constexpr int kRankBufferTileStride =
76 kRankTileStride / sizeof(int32x4_t);
77
78 // Total tile size for the collective communication.
79 static constexpr int kTransmittedTileSize =
80 kRankTransmittedTileSize * kWorldSize;
81
82 // Constants configuration
83
84 // {-1/8.0h, -1/8.0h}, f16x2_t
85 static constexpr int kScaleFactor =
86 std::is_same<T, half>::value ? 0xB000B000 : 0xBE00BE00;
87
88 // {1e-7, 1e-7}, f16x2_t
89 static constexpr int kScaleEpsilon =
90 std::is_same<T, half>::value ? 0x00010001 : 0x33D733D7;
91
92 // {-8, -8}, f16x2_t
93 static constexpr int kRangeMin =
94 std::is_same<T, half>::value ? 0xC800C800 : 0xC100C100;
95
96 // {+7, +7}, f16x2_t
97 static constexpr int kRangeMax =
98 std::is_same<T, half>::value ? 0x47004700 : 0x40E040E0;
99
100 // {+8, +8}, int16x2_t
101 static constexpr int kRangeBias = 0x00080008;
102
103 __quickreduce_device_inline__ CodecQ4(int thread, int rank)
104 : CodecBase(thread, rank) {}
105
106 __quickreduce_device_inline__ void send(int32x4_t* __restrict__ send_buffer,
107 const int32x4_t* __restrict__ data) {
108 for (int k = 0; k < kRankAtoms; k++) {
109 int32x4_t const atom = data[k];
110
111 // Compute the absolute maximum of the atom in the thread group
112 // In 2 blocks of values, upper/lower halves of the f16x2_t
113 int wblockmax = group_abs_max<T>(atom);
114
115 // Derive scales
116 int decoding_scale;
117 int encoding_scale;
118 decoding_scale = packed_mul<T>(wblockmax, kScaleFactor);
119 encoding_scale = packed_add<T>(decoding_scale, kScaleEpsilon);
120 encoding_scale = packed_rcp<T>(encoding_scale);
121
122 // Apply scales to get quantized values
123 int32x4_t w;
124 for (int i = 0; i < 4; i++) {
125 w[i] = packed_mul<T>(atom[i], encoding_scale);
126 w[i] = packed_max<T>(w[i], kRangeMin);
127 w[i] = packed_min<T>(w[i], kRangeMax);
128 }
129
130 // Convert from f16x2_t to uint16x2_t
131 int32x4_t q;
132 {
133 int16_t* qi = reinterpret_cast<int16_t*>(&q);
134 T* wh = reinterpret_cast<T*>(&w);
135 for (int i = 0; i < 8; i++) qi[i] = (int16_t)rintf(T2float_cast(wh[i]));
136
137 for (int i = 0; i < 4; i++) {
138 q[i] = packed_add<int16_t>(q[i], kRangeBias);
139 }
140 }
141
142 // Pack 8 x q4 into int32_t
143 int qw = q[0] | (q[1] << 4) | (q[2] << 8) | (q[3] << 12);
144
145 // Write quantized atom to send_buffer
146 // note: only the group leader stores the scale
147 uint8_t* atom_ptr =
148 reinterpret_cast<uint8_t*>(send_buffer + k * kRankBufferTileStride);
149 int32_t* qw_ptr = reinterpret_cast<int32_t*>(atom_ptr) + thread;
150 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
151 (thread / 8);
152
153 __builtin_nontemporal_store(qw, qw_ptr);
154 if (threadIdx.x == group_leader) {
155 __builtin_nontemporal_store(decoding_scale, qs_ptr);
156 }
157 }
158 }
159
160 __quickreduce_device_inline__ void recv(int32x4_t** __restrict__ recv_buffer,
161 int32x4_t* __restrict__ data) {
162 for (int k = 0; k < kRankAtoms; k++) {
163 // Directly read quantized atom from recv_buffer
164 uint8_t* atom_ptr = reinterpret_cast<uint8_t*>(*recv_buffer);
165 int32_t* qw_ptr = reinterpret_cast<int32_t*>(atom_ptr) + thread;
166 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
167 (thread / 8);
168
169 int32_t qw = __builtin_nontemporal_load(qw_ptr);
170 int qs = __builtin_nontemporal_load(qs_ptr);
171
172 *recv_buffer += kRankBufferTileStride;
173
174 // Unpack q4 into f16x8_t
175 int32x4_t w;
176 {
177 static constexpr uint kMask000F = 0x000F000F;
178 static constexpr uint kHalf2_1024 =
179 0x64006400; // {1024.0, 1024.0}, fp16x2_t
180 static uint constexpr kHalf2_1032 =
181 0xE408E408; // {-1032.0, -1032.0}, fp16x2_t
182
183 for (int i = 0; i < 4; i++) {
184 if constexpr (std::is_same<T, half>::value) {
185 int32_t q4 = ((qw >> (i * 4)) & kMask000F) | kHalf2_1024;
186 w[i] = packed_add<half>(q4, kHalf2_1032);
187 } else {
188 int32_t int16_2 = (qw >> (i * 4)) & kMask000F;
189 int16_t low = static_cast<int16_t>(int16_2 & 0xFFFF);
190 int16_t high = static_cast<int16_t>((int16_2 >> 16) & 0xFFFF);
191 nv_bfloat16 bf_low = __float2bfloat16(static_cast<float>(low));
192 nv_bfloat16 bf_high = __float2bfloat16(static_cast<float>(high));
193 nv_bfloat162 bf2 = __halves2bfloat162(bf_low, bf_high);
194 int32_t packed_bf16 = *reinterpret_cast<int32_t*>(&bf2);
195 w[i] = packed_add<nv_bfloat16>(packed_bf16, kRangeMin);
196 }
197 }
198 }
199
200 // Apply decoding scales
201 for (int i = 0; i < 4; i++) {
202 w[i] = packed_mul<T>(w[i], qs);
203 }
204
205 data[k] = w;
206 }
207 }
208 };
209
210 // Int3 symmetric quantization codec.
211 // We quantize the FP16 data to block-scaled Int3 in blocks of 4 *
212 // kThreadGroupSize. Uniform symmetric quantization (round-to-int + clip),
213 // matching the structure of CodecQ4. Signed range is [-4, +3].
214 template <typename T, int world_size>
215 struct CodecQ3 : public CodecBase {
216 static constexpr int kWorldSize = world_size;
217
218 // Layout per quantization block (32 values = 8 threads * 4 fp16x2 lanes):
219 // - each thread owns 8 values and writes:
220 // * q2 payload : 8 * 2 bits -> uint16 (2 bytes)
221 // * q1 payload : 8 * 1 bit -> uint8 (1 byte)
222 // - one scale is shared per 32 values and written by group leader.
223 //
224 // kRankTileStride is split as:
225 // [0 .. 511] : q2 payload region (256 threads * 2 bytes)
226 // [512 .. 767] : q1 payload region (256 threads * 1 byte)
227 // [768 .. 895] : scale region (32 groups * 4 bytes)
228 static constexpr int kRankAtoms = kAtoms / kWorldSize;
229 static constexpr int kRankTileStride = 896;
230 static constexpr int kRankTileQ1Offset = 512;
231 static constexpr int kRankTileScaleOffset = 768;
232 static constexpr int kRankTransmittedTileSize = kRankTileStride * kRankAtoms;
233 static_assert(kRankTransmittedTileSize % 16 == 0,
234 "kRankTransmittedTileSize must be 16B aligned.");
235
236 static constexpr int kRankBufferTileStride =
237 kRankTileStride / sizeof(int32x4_t);
238
239 static constexpr int kTransmittedTileSize =
240 kRankTransmittedTileSize * kWorldSize;
241
242 // {-1/4.0h, -1/4.0h}, f16x2_t / bf16x2_t. Sign-flipped so absmax maps
243 // to -4; the sign cancels with decoding_scale on the recv side.
244 static constexpr int kScaleFactor =
245 std::is_same<T, half>::value ? 0xB400B400 : 0xBE80BE80;
246
247 // {1e-7, 1e-7}, f16x2_t
248 static constexpr int kScaleEpsilon =
249 std::is_same<T, half>::value ? 0x00010001 : 0x33D733D7;
250
251 // {-4, -4}, f16x2_t / bf16x2_t
252 static constexpr int kRangeMin =
253 std::is_same<T, half>::value ? 0xC400C400 : 0xC080C080;
254
255 // {+3, +3}, f16x2_t / bf16x2_t
256 static constexpr int kRangeMax =
257 std::is_same<T, half>::value ? 0x42004200 : 0x40404040;
258
259 // {+4, +4}, int16x2_t -- shifts signed [-4, +3] to unsigned [0, 7].
260 static constexpr int kRangeBias = 0x00040004;
261
262 __quickreduce_device_inline__ CodecQ3(int thread, int rank)
263 : CodecBase(thread, rank) {}
264
265 __quickreduce_device_inline__ void send(int32x4_t* __restrict__ send_buffer,
266 const int32x4_t* __restrict__ data) {
267 for (int k = 0; k < kRankAtoms; k++) {
268 int32x4_t const atom = data[k];
269
270 // 1) Per-group dynamic scale (shared across 32 values).
271 int wblockmax = group_abs_max<T>(atom);
272 int decoding_scale = packed_mul<T>(wblockmax, kScaleFactor);
273 int encoding_scale = packed_add<T>(decoding_scale, kScaleEpsilon);
274 encoding_scale = packed_rcp<T>(encoding_scale);
275
276 // 2) Scale + clip to signed int3 range [-4, +3].
277 int32x4_t w;
278 for (int i = 0; i < 4; i++) {
279 w[i] = packed_mul<T>(atom[i], encoding_scale);
280 w[i] = packed_max<T>(w[i], kRangeMin);
281 w[i] = packed_min<T>(w[i], kRangeMax);
282 }
283
284 // 3) Round to integer and bias to unsigned domain [0, 7].
285 int32x4_t q;
286 {
287 int16_t* qi = reinterpret_cast<int16_t*>(&q);
288 T* wh = reinterpret_cast<T*>(&w);
289 for (int i = 0; i < 8; i++) qi[i] = (int16_t)rintf(T2float_cast(wh[i]));
290
291 for (int i = 0; i < 4; i++) {
292 q[i] = packed_add<int16_t>(q[i], kRangeBias);
293 }
294 }
295
296 // 4) Split each 3-bit unsigned value into low-2-bit and high-1-bit
297 // halves, packed into one uint16 (low 2 bits per value) plus one
298 // uint8 (high 1 bit per value).
299 uint16_t q2w = 0;
300 uint8_t q1w = 0;
301 {
302 int16_t* tw = reinterpret_cast<int16_t*>(&q);
303 #pragma unroll
304 for (int i = 0; i < 8; i++) {
305 uint32_t v = static_cast<uint32_t>(tw[i]) & 0x7u;
306 q2w |= static_cast<uint16_t>((v & 0x3u) << (i * 2));
307 q1w |= static_cast<uint8_t>(((v >> 2) & 0x1u) << i);
308 }
309 }
310
311 uint8_t* atom_ptr =
312 reinterpret_cast<uint8_t*>(send_buffer + k * kRankBufferTileStride);
313 uint16_t* q2w_ptr = reinterpret_cast<uint16_t*>(atom_ptr) + thread;
314 uint8_t* q1w_ptr =
315 reinterpret_cast<uint8_t*>(atom_ptr + kRankTileQ1Offset) + thread;
316 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
317 (thread / 8);
318
319 __builtin_nontemporal_store(q2w, q2w_ptr);
320 *q1w_ptr = q1w;
321 if (threadIdx.x == group_leader) {
322 __builtin_nontemporal_store(decoding_scale, qs_ptr);
323 }
324 }
325 }
326
327 __quickreduce_device_inline__ void recv(int32x4_t** __restrict__ recv_buffer,
328 int32x4_t* __restrict__ data) {
329 for (int k = 0; k < kRankAtoms; k++) {
330 uint8_t* atom_ptr = reinterpret_cast<uint8_t*>(*recv_buffer);
331 uint16_t* q2w_ptr = reinterpret_cast<uint16_t*>(atom_ptr) + thread;
332 uint8_t* q1w_ptr =
333 reinterpret_cast<uint8_t*>(atom_ptr + kRankTileQ1Offset) + thread;
334 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
335 (thread / 8);
336
337 uint16_t q2w = __builtin_nontemporal_load(q2w_ptr);
338 uint8_t q1w = *q1w_ptr;
339 int qs = __builtin_nontemporal_load(qs_ptr);
340
341 *recv_buffer += kRankBufferTileStride;
342
343 // Unpack unsigned values [0, 7] then shift back to signed domain
344 // [-4, +3] by adding kRangeMin.
345 int32x4_t w;
346 {
347 int16_t qv[8];
348 #pragma unroll
349 for (int i = 0; i < 8; i++) {
350 uint32_t low2 = (q2w >> (2 * i)) & 0x3u;
351 uint32_t high1 = (q1w >> i) & 0x1u;
352 qv[i] = static_cast<int16_t>(low2 | (high1 << 2));
353 }
354
355 #pragma unroll
356 for (int i = 0; i < 4; i++) {
357 int qpack = packed_from_int16_pair<T>(qv[2 * i], qv[2 * i + 1]);
358 w[i] = packed_add<T>(qpack, kRangeMin);
359 }
360 }
361
362 // Apply decode scale to reconstruct fp16/bf16 lanes.
363 for (int i = 0; i < 4; i++) {
364 w[i] = packed_mul<T>(w[i], qs);
365 }
366
367 data[k] = w;
368 }
369 }
370 };
371
372 // Int6 symmetric quantization codec.
373 // We quantize the FP16 data to block-scaled Int6 in blocks of 4 *
374 // kThreadGroupSize.
375 template <typename T, int world_size>
376 struct CodecQ6 : public CodecBase {
377 static constexpr int kWorldSize = world_size;
378
379 // Codec tile size process by this workgroup.
380 // Each threads processes a fragment of fp16x8_t (16B),
381 // into a int6x8_t (4B + 2B) and a fp16 scale shared among 32 values.
382 static constexpr int kRankAtoms = kAtoms / kWorldSize;
383 static constexpr int kRankTileStride = 1664;
384 static constexpr int kRankTileQ2Offset = 1024;
385 static constexpr int kRankTileScaleOffset = 1536;
386 static constexpr int kRankTransmittedTileSize = kRankTileStride * kRankAtoms;
387 static_assert(kRankTransmittedTileSize % 16 == 0,
388 "kRankTransmittedTileSize must be 16B aligned.");
389
390 static constexpr int kRankBufferTileStride =
391 kRankTileStride / sizeof(int32x4_t);
392
393 // Total tile size for the collective communication.
394 static constexpr int kTransmittedTileSize =
395 kRankTransmittedTileSize * kWorldSize;
396
397 // Constants configuration
398
399 // {-1/32.0h, -1/32.0h}, fp16x2_t
400 static constexpr int kScaleFactor =
401 std::is_same<T, half>::value ? 0xA800A800 : 0xBD00BD00;
402
403 // {1e-7, 1e-7}, fp16x2_t
404 static constexpr int kScaleEpsilon =
405 std::is_same<T, half>::value ? 0x00010001 : 0x33D733D7;
406
407 // {-32, -32}, fp16x2_t
408 static constexpr int kRangeMin =
409 std::is_same<T, half>::value ? 0xD000D000 : 0xC200C200;
410
411 // {+31, +31}, fp16x2_t
412 static constexpr int kRangeMax =
413 std::is_same<T, half>::value ? 0x4FC04FC0 : 0x41F841F8;
414
415 // {+32, +32}, int16x2_t
416 static constexpr int kRangeBias = 0x00200020;
417
418 __quickreduce_device_inline__ CodecQ6(int thread, int rank)
419 : CodecBase(thread, rank) {}
420
421 __quickreduce_device_inline__ void send(int32x4_t* __restrict__ send_buffer,
422 const int32x4_t* __restrict__ data) {
423 for (int k = 0; k < kRankAtoms; k++) {
424 int32x4_t const atom = data[k];
425
426 // Compute the absolute maximum of the atom in the thread group
427 // In 2 blocks of values, upper/lower halves of the f16x2_t
428 int wblockmax = group_abs_max<T>(atom);
429
430 // Derive scales
431 int decoding_scale;
432 int encoding_scale;
433 decoding_scale = packed_mul<T>(wblockmax, kScaleFactor);
434 encoding_scale = packed_add<T>(decoding_scale, kScaleEpsilon);
435 encoding_scale = packed_rcp<T>(encoding_scale);
436
437 // Apply scales to get quantized values
438 int32x4_t w;
439 for (int i = 0; i < 4; i++) {
440 w[i] = packed_mul<T>(atom[i], encoding_scale);
441 w[i] = packed_max<T>(w[i], kRangeMin);
442 w[i] = packed_min<T>(w[i], kRangeMax);
443 }
444
445 // Convert from f16x2_t to uint16x2_t
446 int32x4_t q;
447 {
448 int16_t* qi = reinterpret_cast<int16_t*>(&q);
449 T* wh = reinterpret_cast<T*>(&w);
450 for (int i = 0; i < 8; i++) qi[i] = (int16_t)rintf(T2float_cast(wh[i]));
451
452 for (int i = 0; i < 4; i++) {
453 q[i] = packed_add<int16_t>(q[i], kRangeBias);
454 }
455 }
456
457 // Pack 8 x q6 into int32_t + int16_t
458 uint32_t q4w;
459 uint16_t q2w = 0;
460 q4w = (q[0] & 0x000F000F) | ((q[1] & 0x000F000F) << 4) |
461 ((q[2] & 0x000F000F) << 8) | ((q[3] & 0x000F000F) << 12);
462 {
463 int16_t* tw = reinterpret_cast<int16_t*>(&q);
464 #pragma unroll
465 for (int i = 0; i < 8; i++) {
466 q2w |= (tw[i] >> 4) << (i * 2);
467 }
468 }
469 // Write quantized atom to send_buffer
470 // note: only the group leader stores the scale
471 uint8_t* atom_ptr =
472 reinterpret_cast<uint8_t*>(send_buffer + k * kRankBufferTileStride);
473 uint32_t* q4w_ptr = reinterpret_cast<uint32_t*>(atom_ptr) + thread;
474 uint16_t* q2w_ptr =
475 reinterpret_cast<uint16_t*>(atom_ptr + kRankTileQ2Offset) + thread;
476 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
477 (thread / 8);
478
479 __builtin_nontemporal_store(q4w, q4w_ptr);
480 __builtin_nontemporal_store(q2w, q2w_ptr);
481 if (threadIdx.x == group_leader) {
482 __builtin_nontemporal_store(decoding_scale, qs_ptr);
483 }
484 }
485 }
486
487 __quickreduce_device_inline__ void recv(int32x4_t** __restrict__ recv_buffer,
488 int32x4_t* __restrict__ data) {
489 for (int k = 0; k < kRankAtoms; k++) {
490 // Directly read quantized atom from recv_buffer
491 uint8_t* atom_ptr = reinterpret_cast<uint8_t*>(*recv_buffer);
492 uint32_t* q4w_ptr = reinterpret_cast<uint32_t*>(atom_ptr) + thread;
493 uint16_t* q2w_ptr =
494 reinterpret_cast<uint16_t*>(atom_ptr + kRankTileQ2Offset) + thread;
495 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
496 (thread / 8);
497
498 uint32_t q4w = __builtin_nontemporal_load(q4w_ptr);
499 uint16_t q2w = __builtin_nontemporal_load(q2w_ptr);
500 int qs = __builtin_nontemporal_load(qs_ptr);
501
502 *recv_buffer += kRankBufferTileStride;
503
504 // Unpack q6 into fp16x8_t
505 int32x4_t w;
506 {
507 static uint constexpr kMask000F = 0x000F000F;
508 static uint constexpr kHalf2_1024 =
509 0x64006400; // {1024.0, 1024.0}, fp16x2_t
510 static uint constexpr kHalf2_1056 =
511 0xE420E420; // {-1056.0, -1056.0}, fp16x2_t
512
513 #pragma unroll
514 for (int i = 0; i < 4; i++) {
515 int32_t q4 = q4w & kMask000F;
516 int32_t q2 = (q2w & 0x3) | ((q2w & 0xC) << 14);
517 q4w >>= 4;
518 q2w >>= 4;
519 if constexpr (std::is_same<T, half>::value) {
520 int32_t q6 = q4 | (q2 << 4) | kHalf2_1024;
521 asm volatile("v_pk_add_f16 %0, %1, %2"
522 : "=v"(w[i])
523 : "v"(q6), "v"(kHalf2_1056));
524 } else {
525 int32_t int16_2 = q4 | (q2 << 4);
526 int16_t low = static_cast<int16_t>(int16_2 & 0xFFFF);
527 int16_t high = static_cast<int16_t>((int16_2 >> 16) & 0xFFFF);
528
529 nv_bfloat16 bf_low = __float2bfloat16(static_cast<float>(low));
530 nv_bfloat16 bf_high = __float2bfloat16(static_cast<float>(high));
531 nv_bfloat162 bf2 = __halves2bfloat162(bf_low, bf_high);
532 int32_t packed_bf16 = *reinterpret_cast<int32_t*>(&bf2);
533 w[i] = packed_add<nv_bfloat16>(packed_bf16, kRangeMin);
534 }
535 }
536 }
537
538 // Apply decoding scales
539 for (int i = 0; i < 4; i++) {
540 w[i] = packed_mul<T>(w[i], qs);
541 }
542
543 data[k] = w;
544 }
545 }
546 };
547
548 // Int8 symmetric quantization codec.
549 // We quantize the FP16 data to block-scaled Int8 in blocks of 4 *
550 // kThreadGroupSize.
551 template <typename T, int world_size>
552 struct CodecQ8 : public CodecBase {
553 static constexpr int kWorldSize = world_size;
554
555 // Codec tile size process by this workgroup.
556 // Each threads processes a fragment of f16x8_t (16B),
557 // into a int8x8_t (8B) and a f16 scale shared among 32 values.
558 static constexpr int kRankAtoms = kAtoms / kWorldSize;
559 static constexpr int kRankTileStride = 2176;
560 static constexpr int kRankTileScaleOffset = 2048;
561 static constexpr int kRankTransmittedTileSize = kRankTileStride * kRankAtoms;
562 static_assert(kRankTransmittedTileSize % 16 == 0,
563 "kRankTileSize must be 16B aligned.");
564
565 static constexpr int kRankBufferTileStride =
566 kRankTileStride / sizeof(int32x4_t);
567
568 // Total tile size for the collective communication.
569 static constexpr int kTransmittedTileSize =
570 kRankTransmittedTileSize * kWorldSize;
571
572 // Constants configuration
573
574 // {-1/128.0h, -1/128.0h}, f16x2_t
575 static constexpr int kScaleFactor =
576 std::is_same<T, half>::value ? 0xA000A000 : 0xBC00BC00;
577
578 // {1e-7, 1e-7}, f16x2_t
579 static constexpr int kScaleEpsilon =
580 std::is_same<T, half>::value ? 0x00010001 : 0x33D733D7;
581
582 // {-128, -128}, f16x2_t
583 static constexpr int kRangeMin =
584 std::is_same<T, half>::value ? 0xD800D800 : 0xC300C300;
585 // {+127, +127}, f16x2_t
586 static constexpr int kRangeMax =
587 std::is_same<T, half>::value ? 0x57F057F0 : 0x42FE42FE;
588
589 // {+128, +128}, int16x2_t
590 static constexpr int kRangeBias = 0x00800080;
591
592 __quickreduce_device_inline__ CodecQ8(int thread, int rank)
593 : CodecBase(thread, rank) {}
594
595 __quickreduce_device_inline__ void send(int32x4_t* __restrict__ send_buffer,
596 int32x4_t const* __restrict__ data) {
597 for (int k = 0; k < kRankAtoms; k++) {
598 int32x4_t const atom = data[k];
599 // Compute the absolute maximum of the atom in the thread group
600 // In 2 blocks of values, upper/lower halves of the f16x2_t
601 int wblockmax = group_abs_max<T>(atom);
602
603 // Derive scales
604 int decoding_scale;
605 int encoding_scale;
606 decoding_scale = packed_mul<T>(wblockmax, kScaleFactor);
607 encoding_scale = packed_add<T>(decoding_scale, kScaleEpsilon);
608 encoding_scale = packed_rcp<T>(encoding_scale);
609
610 // Apply scales to get quantized values
611 int32x4_t w;
612 for (int i = 0; i < 4; i++) {
613 w[i] = packed_mul<T>(atom[i], encoding_scale);
614 w[i] = packed_max<T>(w[i], kRangeMin);
615 w[i] = packed_min<T>(w[i], kRangeMax);
616 }
617
618 // Convert from f16x2_t to uint16x2_t
619 int32x4_t q;
620 {
621 int16_t* qi = reinterpret_cast<int16_t*>(&q);
622 T* wh = reinterpret_cast<T*>(&w);
623 for (int i = 0; i < 8; i++) qi[i] = (int16_t)rintf(T2float_cast(wh[i]));
624
625 for (int i = 0; i < 4; i++) {
626 q[i] = packed_add<int16_t>(q[i], kRangeBias);
627 }
628 }
629
630 // Pack 8 x q8 into int32x2_t
631 int32x2_t qw;
632 qw[0] = q[0] | (q[1] << 8);
633 qw[1] = q[2] | (q[3] << 8);
634
635 // Write quantized atom to send_buffer
636 // note: only the group leader stores the scale
637 uint8_t* atom_ptr =
638 reinterpret_cast<uint8_t*>(send_buffer + k * kRankBufferTileStride);
639 int32x2_t* qw_ptr = reinterpret_cast<int32x2_t*>(atom_ptr) + thread;
640 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
641 (thread / 8);
642
643 __builtin_nontemporal_store(qw, qw_ptr);
644 if (threadIdx.x == group_leader) {
645 __builtin_nontemporal_store(decoding_scale, qs_ptr);
646 }
647 }
648 }
649
650 __quickreduce_device_inline__ void recv(int32x4_t** __restrict__ recv_buffer,
651 int32x4_t* __restrict__ data) {
652 for (int k = 0; k < kRankAtoms; k++) {
653 // Directly read quantized atom from recv_buffer
654 uint8_t* atom_ptr = reinterpret_cast<uint8_t*>(*recv_buffer);
655 int32x2_t* qw_ptr = reinterpret_cast<int32x2_t*>(atom_ptr) + thread;
656 int* qs_ptr = reinterpret_cast<int*>(atom_ptr + kRankTileScaleOffset) +
657 (thread / 8);
658
659 int32x2_t qw = __builtin_nontemporal_load(qw_ptr);
660 int qs = __builtin_nontemporal_load(qs_ptr);
661
662 *recv_buffer += kRankBufferTileStride;
663
664 // Unpack q8 into fp16x8_t
665 int32x4_t w;
666 {
667 static uint constexpr kMask00FF = 0x00FF00FF;
668
669 // {1024.0, 1024.0}, fp16x2_t
670 static uint constexpr kHalf2_1024 = 0x64006400;
671
672 // {-1152.0, -1152.0}, fp16x2_t
673 static uint constexpr kHalf2_1152 = 0xE480E480;
674
675 #pragma unroll
676 for (int i = 0; i < 4; i++) {
677 if constexpr (std::is_same<T, half>::value) {
678 int32_t q8 =
679 ((qw[i / 2] >> ((i % 2) * 8)) & kMask00FF) | kHalf2_1024;
680 w[i] = packed_add<half>(q8, kHalf2_1152);
681 } else {
682 int32_t int16_2 = (qw[i / 2] >> ((i % 2) * 8)) & kMask00FF;
683 int16_t low = static_cast<int16_t>(int16_2 & 0xFFFF);
684 int16_t high = static_cast<int16_t>((int16_2 >> 16) & 0xFFFF);
685 nv_bfloat16 bf_low = __float2bfloat16(static_cast<float>(low));
686 nv_bfloat16 bf_high = __float2bfloat16(static_cast<float>(high));
687 nv_bfloat162 bf2 = __halves2bfloat162(bf_low, bf_high);
688 int32_t packed_bf16 = *reinterpret_cast<int32_t*>(&bf2);
689 w[i] = packed_add<nv_bfloat16>(packed_bf16, kRangeMin);
690 }
691 }
692 }
693
694 // Apply decoding scales
695 for (int i = 0; i < 4; i++) {
696 w[i] = packed_mul<T>(w[i], qs);
697 }
698
699 data[k] = w;
700 }
701 }
702 };
703
704 // Twoshot All Reduce
705 template <typename T, class Codec, bool cast_bf2half>
706 struct AllReduceTwoshot {
707 static_assert(sizeof(T) == 2);
708
709 static constexpr int kWorldSize = Codec::kWorldSize;
710
711 __device__ static void run(
712 T const* __restrict__ input, T* __restrict__ output,
713 uint32_t const N, // number of elements
714 int const block, // block index
715 int const rank, // rank index
716 uint8_t** __restrict__ buffer_list, // communication buffers
717 uint32_t const data_offset, // offset to start of the data buffer
718 uint32_t flag_color, int64_t data_size_per_phase) {
719 // Topology
720 int thread = threadIdx.x + threadIdx.y * kWavefront;
721 uint8_t* rank_buffer = buffer_list[rank];
722 Codec codec(thread, rank);
723 int block_id = blockIdx.x;
724 // --------------------------------------------------------
725 // Read input into registers
726 int32x4_t tA[kAtoms];
727
728 BufferResource src_buffer(const_cast<T*>(input), N * sizeof(T));
729 uint32_t src_offset = block * kTileSize + thread * sizeof(int32x4_t);
730
731 for (int i = 0; i < kAtoms; i++) {
732 tA[i] = buffer_load_dwordx4(src_buffer.descriptor, src_offset, 0, 0);
733 src_offset += kAtomStride * sizeof(int32x4_t);
734 if constexpr (cast_bf2half) {
735 const nv_bfloat162* bf_buf =
736 reinterpret_cast<const nv_bfloat162*>(&tA[i]);
737 half2 half_buf[4];
738 #pragma unroll
739 for (int j = 0; j < 4; ++j) {
740 float2 f = __bfloat1622float2(bf_buf[j]);
741 half_buf[j] = __float22half2_rn(f);
742 }
743 tA[i] = *reinterpret_cast<const int32x4_t*>(half_buf);
744 }
745 }
746
747 // --------------------------------------------------------
748 // Phase-1A: Write segment data into the communication buffer of the target
749 // rank responsible for this segment.
750 uint32_t comm_data0_offset =
751 data_offset + block_id * Codec::kTransmittedTileSize;
752 uint32_t comm_data1_offset = data_size_per_phase + comm_data0_offset;
753
754 uint32_t comm_flags0_offset = block_id * (kWorldSize * sizeof(uint32_t));
755 uint32_t comm_flags1_offset = (data_offset / 2) + comm_flags0_offset;
756
757 for (int r = 0; r < kWorldSize; r++) {
758 int32x4_t* send_buffer =
759 reinterpret_cast<int32x4_t*>(buffer_list[r] + comm_data0_offset +
760 rank * Codec::kRankTransmittedTileSize);
761 codec.send(send_buffer, &tA[r * Codec::kRankAtoms]);
762 }
763
764 __syncthreads();
765 if (thread < kWorldSize) {
766 int r = thread;
767 uint32_t* flag_ptr = reinterpret_cast<uint32_t*>(
768 buffer_list[r] + comm_flags0_offset + rank * sizeof(uint32_t));
769 set_sync_flag(flag_ptr, flag_color);
770 }
771 // --------------------------------------------------------
772 // Phase-1B: Reduce the segment data from the communication buffers.
773 int32x4_t tR[Codec::kRankAtoms] = {};
774 {
775 // Read the data from the communication buffer.
776 int32x4_t* recv_buffer =
777 reinterpret_cast<int32x4_t*>(rank_buffer + comm_data0_offset);
778 uint32_t* flag_ptr =
779 reinterpret_cast<uint32_t*>(rank_buffer + comm_flags0_offset);
780
781 for (int r = 0; r < kWorldSize; r++) {
782 // Wait for the flags to be set.
783 if (thread == 0) {
784 wait_sync_flag(&flag_ptr[r], flag_color);
785 }
786 __syncthreads();
787
788 // note: we reuse tA as temp buffer here
789 codec.recv(&recv_buffer, tA);
790
791 for (int i = 0; i < Codec::kRankAtoms; i++) {
792 packed_assign_add<T>(&tR[i], &tA[i]);
793 }
794 }
795 }
796
797 // Phase-2: Write the reduced segment to every other rank
798 for (int r = 0; r < kWorldSize; r++) {
799 int32x4_t* send_buffer =
800 reinterpret_cast<int32x4_t*>(buffer_list[r] + comm_data1_offset +
801 rank * Codec::kRankTransmittedTileSize);
802 codec.send(send_buffer, tR);
803 }
804
805 __syncthreads();
806 if (thread < kWorldSize) {
807 int r = thread;
808 uint32_t* flag_ptr = reinterpret_cast<uint32_t*>(
809 buffer_list[r] + comm_flags1_offset + rank * sizeof(uint32_t));
810 set_sync_flag(flag_ptr, flag_color);
811 }
812
813 // Phase-2: Read the gather segments from the rank's communication buffer.
814 {
815 // Read the data from the communication buffer.
816 int32x4_t* recv_buffer =
817 reinterpret_cast<int32x4_t*>(rank_buffer + comm_data1_offset);
818 uint32_t* flag_ptr =
819 reinterpret_cast<uint32_t*>(rank_buffer + comm_flags1_offset);
820
821 for (int r = 0; r < kWorldSize; r++) {
822 // Wait for the flags to be set.
823 if (thread == 0) {
824 wait_sync_flag(&flag_ptr[r], flag_color);
825 }
826 __syncthreads();
827
828 // Gather all reduced and final rank segments into tA.
829 codec.recv(&recv_buffer, &tA[r * Codec::kRankAtoms]);
830 }
831 }
832
833 // --------------------------------------------------------
834 // Write the result to output.
835 BufferResource dst_buffer(output, N * sizeof(T));
836 uint32_t dst_offset = block * kTileSize + thread * sizeof(int32x4_t);
837
838 for (int i = 0; i < kAtoms; i++) {
839 if constexpr (cast_bf2half) {
840 const half2* half_buf = reinterpret_cast<const half2*>(&tA[i]);
841 nv_bfloat162 bf16_buf[4];
842 #pragma unroll
843 for (int j = 0; j < 4; ++j) {
844 float2 f = __half22float2(half_buf[j]);
845 bf16_buf[j] = __float22bfloat162_rn(f);
846 }
847 buffer_store_dwordx4(*reinterpret_cast<const int32x4_t*>(bf16_buf),
848 dst_buffer.descriptor, dst_offset, 0, 0);
849 } else {
850 buffer_store_dwordx4(tA[i], dst_buffer.descriptor, dst_offset, 0, 0);
851 }
852 dst_offset += kAtomStride * sizeof(int32x4_t);
853 }
854 }
855 };
856
857 } // namespace quickreduce