| 1 | // This file is part of Eigen, a lightweight C++ template library |
| 2 | // for linear algebra. |
| 3 | // |
| 4 | // Copyright (C) 2016 Benoit Steiner <benoit.steiner.goog@gmail.com> |
| 5 | // |
| 6 | // This Source Code Form is subject to the terms of the Mozilla |
| 7 | // Public License v. 2.0. If a copy of the MPL was not distributed |
| 8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
| 9 | |
| 10 | #ifndef EIGEN_PACKET_MATH_HALF_CUDA_H |
| 11 | #define EIGEN_PACKET_MATH_HALF_CUDA_H |
| 12 | |
| 13 | |
| 14 | namespace Eigen { |
| 15 | namespace internal { |
| 16 | |
| 17 | // Most of the following operations require arch >= 3.0 |
| 18 | #if defined(EIGEN_HAS_CUDA_FP16) && defined(__CUDACC__) && defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 300 |
| 19 | |
| 20 | template<> struct is_arithmetic<half2> { enum { value = true }; }; |
| 21 | |
| 22 | template<> struct packet_traits<Eigen::half> : default_packet_traits |
| 23 | { |
| 24 | typedef half2 type; |
| 25 | typedef half2 half; |
| 26 | enum { |
| 27 | Vectorizable = 1, |
| 28 | AlignedOnScalar = 1, |
| 29 | size=2, |
| 30 | HasHalfPacket = 0, |
| 31 | HasAdd = 1, |
| 32 | HasMul = 1, |
| 33 | HasDiv = 1, |
| 34 | HasSqrt = 1, |
| 35 | HasRsqrt = 1, |
| 36 | HasExp = 1, |
| 37 | HasLog = 1, |
| 38 | HasLog1p = 1 |
| 39 | }; |
| 40 | }; |
| 41 | |
| 42 | template<> struct unpacket_traits<half2> { typedef Eigen::half type; enum {size=2, alignment=Aligned16}; typedef half2 half; }; |
| 43 | |
| 44 | template<> __device__ EIGEN_STRONG_INLINE half2 pset1<half2>(const Eigen::half& from) { |
| 45 | return __half2half2(from); |
| 46 | } |
| 47 | |
| 48 | template<> __device__ EIGEN_STRONG_INLINE half2 pload<half2>(const Eigen::half* from) { |
| 49 | return *reinterpret_cast<const half2*>(from); |
| 50 | } |
| 51 | |
| 52 | template<> __device__ EIGEN_STRONG_INLINE half2 ploadu<half2>(const Eigen::half* from) { |
| 53 | return __halves2half2(from[0], from[1]); |
| 54 | } |
| 55 | |
| 56 | template<> EIGEN_STRONG_INLINE half2 ploaddup<half2>(const Eigen::half* from) { |
| 57 | return __halves2half2(from[0], from[0]); |
| 58 | } |
| 59 | |
| 60 | template<> __device__ EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const half2& from) { |
| 61 | *reinterpret_cast<half2*>(to) = from; |
| 62 | } |
| 63 | |
| 64 | template<> __device__ EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const half2& from) { |
| 65 | to[0] = __low2half(from); |
| 66 | to[1] = __high2half(from); |
| 67 | } |
| 68 | |
| 69 | template<> |
| 70 | __device__ EIGEN_ALWAYS_INLINE half2 ploadt_ro<half2, Aligned>(const Eigen::half* from) { |
| 71 | #if __CUDA_ARCH__ >= 350 |
| 72 | return __ldg((const half2*)from); |
| 73 | #else |
| 74 | return __halves2half2(*(from+0), *(from+1)); |
| 75 | #endif |
| 76 | } |
| 77 | |
| 78 | template<> |
| 79 | __device__ EIGEN_ALWAYS_INLINE half2 ploadt_ro<half2, Unaligned>(const Eigen::half* from) { |
| 80 | #if __CUDA_ARCH__ >= 350 |
| 81 | return __halves2half2(__ldg(from+0), __ldg(from+1)); |
| 82 | #else |
| 83 | return __halves2half2(*(from+0), *(from+1)); |
| 84 | #endif |
| 85 | } |
| 86 | |
| 87 | template<> __device__ EIGEN_STRONG_INLINE half2 pgather<Eigen::half, half2>(const Eigen::half* from, Index stride) { |
| 88 | return __halves2half2(from[0*stride], from[1*stride]); |
| 89 | } |
| 90 | |
| 91 | template<> __device__ EIGEN_STRONG_INLINE void pscatter<Eigen::half, half2>(Eigen::half* to, const half2& from, Index stride) { |
| 92 | to[stride*0] = __low2half(from); |
| 93 | to[stride*1] = __high2half(from); |
| 94 | } |
| 95 | |
| 96 | template<> __device__ EIGEN_STRONG_INLINE Eigen::half pfirst<half2>(const half2& a) { |
| 97 | return __low2half(a); |
| 98 | } |
| 99 | |
| 100 | template<> __device__ EIGEN_STRONG_INLINE half2 pabs<half2>(const half2& a) { |
| 101 | half2 result; |
| 102 | unsigned temp = *(reinterpret_cast<const unsigned*>(&(a))); |
| 103 | *(reinterpret_cast<unsigned*>(&(result))) = temp & 0x7FFF7FFF; |
| 104 | return result; |
| 105 | } |
| 106 | |
| 107 | |
| 108 | __device__ EIGEN_STRONG_INLINE void |
| 109 | ptranspose(PacketBlock<half2,2>& kernel) { |
| 110 | __half a1 = __low2half(kernel.packet[0]); |
| 111 | __half a2 = __high2half(kernel.packet[0]); |
| 112 | __half b1 = __low2half(kernel.packet[1]); |
| 113 | __half b2 = __high2half(kernel.packet[1]); |
| 114 | kernel.packet[0] = __halves2half2(a1, b1); |
| 115 | kernel.packet[1] = __halves2half2(a2, b2); |
| 116 | } |
| 117 | |
| 118 | template<> __device__ EIGEN_STRONG_INLINE half2 plset<half2>(const Eigen::half& a) { |
| 119 | #if __CUDA_ARCH__ >= 530 |
| 120 | return __halves2half2(a, __hadd(a, __float2half(1.0f))); |
| 121 | #else |
| 122 | float f = __half2float(a) + 1.0f; |
| 123 | return __halves2half2(a, __float2half(f)); |
| 124 | #endif |
| 125 | } |
| 126 | |
| 127 | template<> __device__ EIGEN_STRONG_INLINE half2 padd<half2>(const half2& a, const half2& b) { |
| 128 | #if __CUDA_ARCH__ >= 530 |
| 129 | return __hadd2(a, b); |
| 130 | #else |
| 131 | float a1 = __low2float(a); |
| 132 | float a2 = __high2float(a); |
| 133 | float b1 = __low2float(b); |
| 134 | float b2 = __high2float(b); |
| 135 | float r1 = a1 + b1; |
| 136 | float r2 = a2 + b2; |
| 137 | return __floats2half2_rn(r1, r2); |
| 138 | #endif |
| 139 | } |
| 140 | |
| 141 | template<> __device__ EIGEN_STRONG_INLINE half2 psub<half2>(const half2& a, const half2& b) { |
| 142 | #if __CUDA_ARCH__ >= 530 |
| 143 | return __hsub2(a, b); |
| 144 | #else |
| 145 | float a1 = __low2float(a); |
| 146 | float a2 = __high2float(a); |
| 147 | float b1 = __low2float(b); |
| 148 | float b2 = __high2float(b); |
| 149 | float r1 = a1 - b1; |
| 150 | float r2 = a2 - b2; |
| 151 | return __floats2half2_rn(r1, r2); |
| 152 | #endif |
| 153 | } |
| 154 | |
| 155 | template<> __device__ EIGEN_STRONG_INLINE half2 pnegate(const half2& a) { |
| 156 | #if __CUDA_ARCH__ >= 530 |
| 157 | return __hneg2(a); |
| 158 | #else |
| 159 | float a1 = __low2float(a); |
| 160 | float a2 = __high2float(a); |
| 161 | return __floats2half2_rn(-a1, -a2); |
| 162 | #endif |
| 163 | } |
| 164 | |
| 165 | template<> __device__ EIGEN_STRONG_INLINE half2 pconj(const half2& a) { return a; } |
| 166 | |
| 167 | template<> __device__ EIGEN_STRONG_INLINE half2 pmul<half2>(const half2& a, const half2& b) { |
| 168 | #if __CUDA_ARCH__ >= 530 |
| 169 | return __hmul2(a, b); |
| 170 | #else |
| 171 | float a1 = __low2float(a); |
| 172 | float a2 = __high2float(a); |
| 173 | float b1 = __low2float(b); |
| 174 | float b2 = __high2float(b); |
| 175 | float r1 = a1 * b1; |
| 176 | float r2 = a2 * b2; |
| 177 | return __floats2half2_rn(r1, r2); |
| 178 | #endif |
| 179 | } |
| 180 | |
| 181 | template<> __device__ EIGEN_STRONG_INLINE half2 pmadd<half2>(const half2& a, const half2& b, const half2& c) { |
| 182 | #if __CUDA_ARCH__ >= 530 |
| 183 | return __hfma2(a, b, c); |
| 184 | #else |
| 185 | float a1 = __low2float(a); |
| 186 | float a2 = __high2float(a); |
| 187 | float b1 = __low2float(b); |
| 188 | float b2 = __high2float(b); |
| 189 | float c1 = __low2float(c); |
| 190 | float c2 = __high2float(c); |
| 191 | float r1 = a1 * b1 + c1; |
| 192 | float r2 = a2 * b2 + c2; |
| 193 | return __floats2half2_rn(r1, r2); |
| 194 | #endif |
| 195 | } |
| 196 | |
| 197 | template<> __device__ EIGEN_STRONG_INLINE half2 pdiv<half2>(const half2& a, const half2& b) { |
| 198 | float a1 = __low2float(a); |
| 199 | float a2 = __high2float(a); |
| 200 | float b1 = __low2float(b); |
| 201 | float b2 = __high2float(b); |
| 202 | float r1 = a1 / b1; |
| 203 | float r2 = a2 / b2; |
| 204 | return __floats2half2_rn(r1, r2); |
| 205 | } |
| 206 | |
| 207 | template<> __device__ EIGEN_STRONG_INLINE half2 pmin<half2>(const half2& a, const half2& b) { |
| 208 | float a1 = __low2float(a); |
| 209 | float a2 = __high2float(a); |
| 210 | float b1 = __low2float(b); |
| 211 | float b2 = __high2float(b); |
| 212 | __half r1 = a1 < b1 ? __low2half(a) : __low2half(b); |
| 213 | __half r2 = a2 < b2 ? __high2half(a) : __high2half(b); |
| 214 | return __halves2half2(r1, r2); |
| 215 | } |
| 216 | |
| 217 | template<> __device__ EIGEN_STRONG_INLINE half2 pmax<half2>(const half2& a, const half2& b) { |
| 218 | float a1 = __low2float(a); |
| 219 | float a2 = __high2float(a); |
| 220 | float b1 = __low2float(b); |
| 221 | float b2 = __high2float(b); |
| 222 | __half r1 = a1 > b1 ? __low2half(a) : __low2half(b); |
| 223 | __half r2 = a2 > b2 ? __high2half(a) : __high2half(b); |
| 224 | return __halves2half2(r1, r2); |
| 225 | } |
| 226 | |
| 227 | template<> __device__ EIGEN_STRONG_INLINE Eigen::half predux<half2>(const half2& a) { |
| 228 | #if __CUDA_ARCH__ >= 530 |
| 229 | return __hadd(__low2half(a), __high2half(a)); |
| 230 | #else |
| 231 | float a1 = __low2float(a); |
| 232 | float a2 = __high2float(a); |
| 233 | return Eigen::half(half_impl::raw_uint16_to_half(__float2half_rn(a1 + a2))); |
| 234 | #endif |
| 235 | } |
| 236 | |
| 237 | template<> __device__ EIGEN_STRONG_INLINE Eigen::half predux_max<half2>(const half2& a) { |
| 238 | #if __CUDA_ARCH__ >= 530 |
| 239 | __half first = __low2half(a); |
| 240 | __half second = __high2half(a); |
| 241 | return __hgt(first, second) ? first : second; |
| 242 | #else |
| 243 | float a1 = __low2float(a); |
| 244 | float a2 = __high2float(a); |
| 245 | return a1 > a2 ? __low2half(a) : __high2half(a); |
| 246 | #endif |
| 247 | } |
| 248 | |
| 249 | template<> __device__ EIGEN_STRONG_INLINE Eigen::half predux_min<half2>(const half2& a) { |
| 250 | #if __CUDA_ARCH__ >= 530 |
| 251 | __half first = __low2half(a); |
| 252 | __half second = __high2half(a); |
| 253 | return __hlt(first, second) ? first : second; |
| 254 | #else |
| 255 | float a1 = __low2float(a); |
| 256 | float a2 = __high2float(a); |
| 257 | return a1 < a2 ? __low2half(a) : __high2half(a); |
| 258 | #endif |
| 259 | } |
| 260 | |
| 261 | template<> __device__ EIGEN_STRONG_INLINE Eigen::half predux_mul<half2>(const half2& a) { |
| 262 | #if __CUDA_ARCH__ >= 530 |
| 263 | return __hmul(__low2half(a), __high2half(a)); |
| 264 | #else |
| 265 | float a1 = __low2float(a); |
| 266 | float a2 = __high2float(a); |
| 267 | return Eigen::half(half_impl::raw_uint16_to_half(__float2half_rn(a1 * a2))); |
| 268 | #endif |
| 269 | } |
| 270 | |
| 271 | template<> __device__ EIGEN_STRONG_INLINE half2 plog1p<half2>(const half2& a) { |
| 272 | float a1 = __low2float(a); |
| 273 | float a2 = __high2float(a); |
| 274 | float r1 = log1pf(a1); |
| 275 | float r2 = log1pf(a2); |
| 276 | return __floats2half2_rn(r1, r2); |
| 277 | } |
| 278 | |
| 279 | #if EIGEN_CUDACC_VER >= 80000 && defined EIGEN_CUDA_ARCH && EIGEN_CUDA_ARCH >= 530 |
| 280 | |
| 281 | template<> __device__ EIGEN_STRONG_INLINE |
| 282 | half2 plog<half2>(const half2& a) { |
| 283 | return h2log(a); |
| 284 | } |
| 285 | |
| 286 | template<> __device__ EIGEN_STRONG_INLINE |
| 287 | half2 pexp<half2>(const half2& a) { |
| 288 | return h2exp(a); |
| 289 | } |
| 290 | |
| 291 | template<> __device__ EIGEN_STRONG_INLINE |
| 292 | half2 psqrt<half2>(const half2& a) { |
| 293 | return h2sqrt(a); |
| 294 | } |
| 295 | |
| 296 | template<> __device__ EIGEN_STRONG_INLINE |
| 297 | half2 prsqrt<half2>(const half2& a) { |
| 298 | return h2rsqrt(a); |
| 299 | } |
| 300 | |
| 301 | #else |
| 302 | |
| 303 | template<> __device__ EIGEN_STRONG_INLINE half2 plog<half2>(const half2& a) { |
| 304 | float a1 = __low2float(a); |
| 305 | float a2 = __high2float(a); |
| 306 | float r1 = logf(a1); |
| 307 | float r2 = logf(a2); |
| 308 | return __floats2half2_rn(r1, r2); |
| 309 | } |
| 310 | |
| 311 | template<> __device__ EIGEN_STRONG_INLINE half2 pexp<half2>(const half2& a) { |
| 312 | float a1 = __low2float(a); |
| 313 | float a2 = __high2float(a); |
| 314 | float r1 = expf(a1); |
| 315 | float r2 = expf(a2); |
| 316 | return __floats2half2_rn(r1, r2); |
| 317 | } |
| 318 | |
| 319 | template<> __device__ EIGEN_STRONG_INLINE half2 psqrt<half2>(const half2& a) { |
| 320 | float a1 = __low2float(a); |
| 321 | float a2 = __high2float(a); |
| 322 | float r1 = sqrtf(a1); |
| 323 | float r2 = sqrtf(a2); |
| 324 | return __floats2half2_rn(r1, r2); |
| 325 | } |
| 326 | |
| 327 | template<> __device__ EIGEN_STRONG_INLINE half2 prsqrt<half2>(const half2& a) { |
| 328 | float a1 = __low2float(a); |
| 329 | float a2 = __high2float(a); |
| 330 | float r1 = rsqrtf(a1); |
| 331 | float r2 = rsqrtf(a2); |
| 332 | return __floats2half2_rn(r1, r2); |
| 333 | } |
| 334 | |
| 335 | #endif |
| 336 | |
| 337 | #elif defined EIGEN_VECTORIZE_AVX512 |
| 338 | |
| 339 | typedef struct { |
| 340 | __m256i x; |
| 341 | } Packet16h; |
| 342 | |
| 343 | |
| 344 | template<> struct is_arithmetic<Packet16h> { enum { value = true }; }; |
| 345 | |
| 346 | template <> |
| 347 | struct packet_traits<half> : default_packet_traits { |
| 348 | typedef Packet16h type; |
| 349 | // There is no half-size packet for Packet16h. |
| 350 | typedef Packet16h half; |
| 351 | enum { |
| 352 | Vectorizable = 1, |
| 353 | AlignedOnScalar = 1, |
| 354 | size = 16, |
| 355 | HasHalfPacket = 0, |
| 356 | HasAdd = 0, |
| 357 | HasSub = 0, |
| 358 | HasMul = 0, |
| 359 | HasNegate = 0, |
| 360 | HasAbs = 0, |
| 361 | HasAbs2 = 0, |
| 362 | HasMin = 0, |
| 363 | HasMax = 0, |
| 364 | HasConj = 0, |
| 365 | HasSetLinear = 0, |
| 366 | HasDiv = 0, |
| 367 | HasSqrt = 0, |
| 368 | HasRsqrt = 0, |
| 369 | HasExp = 0, |
| 370 | HasLog = 0, |
| 371 | HasBlend = 0 |
| 372 | }; |
| 373 | }; |
| 374 | |
| 375 | |
| 376 | template<> struct unpacket_traits<Packet16h> { typedef Eigen::half type; enum {size=16, alignment=Aligned32}; typedef Packet16h half; }; |
| 377 | |
| 378 | template<> EIGEN_STRONG_INLINE Packet16h pset1<Packet16h>(const Eigen::half& from) { |
| 379 | Packet16h result; |
| 380 | result.x = _mm256_set1_epi16(from.x); |
| 381 | return result; |
| 382 | } |
| 383 | |
| 384 | template<> EIGEN_STRONG_INLINE Eigen::half pfirst<Packet16h>(const Packet16h& from) { |
| 385 | return half_impl::raw_uint16_to_half(static_cast<unsigned short>(_mm256_extract_epi16(from.x, 0))); |
| 386 | } |
| 387 | |
| 388 | template<> EIGEN_STRONG_INLINE Packet16h pload<Packet16h>(const Eigen::half* from) { |
| 389 | Packet16h result; |
| 390 | result.x = _mm256_load_si256(reinterpret_cast<const __m256i*>(from)); |
| 391 | return result; |
| 392 | } |
| 393 | |
| 394 | template<> EIGEN_STRONG_INLINE Packet16h ploadu<Packet16h>(const Eigen::half* from) { |
| 395 | Packet16h result; |
| 396 | result.x = _mm256_loadu_si256(reinterpret_cast<const __m256i*>(from)); |
| 397 | return result; |
| 398 | } |
| 399 | |
| 400 | template<> EIGEN_STRONG_INLINE void pstore<half>(Eigen::half* to, const Packet16h& from) { |
| 401 | _mm256_store_si256((__m256i*)to, from.x); |
| 402 | } |
| 403 | |
| 404 | template<> EIGEN_STRONG_INLINE void pstoreu<half>(Eigen::half* to, const Packet16h& from) { |
| 405 | _mm256_storeu_si256((__m256i*)to, from.x); |
| 406 | } |
| 407 | |
| 408 | template<> EIGEN_STRONG_INLINE Packet16h |
| 409 | ploadquad(const Eigen::half* from) { |
| 410 | Packet16h result; |
| 411 | unsigned short a = from[0].x; |
| 412 | unsigned short b = from[1].x; |
| 413 | unsigned short c = from[2].x; |
| 414 | unsigned short d = from[3].x; |
| 415 | result.x = _mm256_set_epi16(d, d, d, d, c, c, c, c, b, b, b, b, a, a, a, a); |
| 416 | return result; |
| 417 | } |
| 418 | |
| 419 | EIGEN_STRONG_INLINE Packet16f half2float(const Packet16h& a) { |
| 420 | #ifdef EIGEN_HAS_FP16_C |
| 421 | return _mm512_cvtph_ps(a.x); |
| 422 | #else |
| 423 | EIGEN_ALIGN64 half aux[16]; |
| 424 | pstore(aux, a); |
| 425 | float f0(aux[0]); |
| 426 | float f1(aux[1]); |
| 427 | float f2(aux[2]); |
| 428 | float f3(aux[3]); |
| 429 | float f4(aux[4]); |
| 430 | float f5(aux[5]); |
| 431 | float f6(aux[6]); |
| 432 | float f7(aux[7]); |
| 433 | float f8(aux[8]); |
| 434 | float f9(aux[9]); |
| 435 | float fa(aux[10]); |
| 436 | float fb(aux[11]); |
| 437 | float fc(aux[12]); |
| 438 | float fd(aux[13]); |
| 439 | float fe(aux[14]); |
| 440 | float ff(aux[15]); |
| 441 | |
| 442 | return _mm512_set_ps( |
| 443 | ff, fe, fd, fc, fb, fa, f9, f8, f7, f6, f5, f4, f3, f2, f1, f0); |
| 444 | #endif |
| 445 | } |
| 446 | |
| 447 | EIGEN_STRONG_INLINE Packet16h float2half(const Packet16f& a) { |
| 448 | #ifdef EIGEN_HAS_FP16_C |
| 449 | Packet16h result; |
| 450 | result.x = _mm512_cvtps_ph(a, _MM_FROUND_TO_NEAREST_INT|_MM_FROUND_NO_EXC); |
| 451 | return result; |
| 452 | #else |
| 453 | EIGEN_ALIGN64 float aux[16]; |
| 454 | pstore(aux, a); |
| 455 | half h0(aux[0]); |
| 456 | half h1(aux[1]); |
| 457 | half h2(aux[2]); |
| 458 | half h3(aux[3]); |
| 459 | half h4(aux[4]); |
| 460 | half h5(aux[5]); |
| 461 | half h6(aux[6]); |
| 462 | half h7(aux[7]); |
| 463 | half h8(aux[8]); |
| 464 | half h9(aux[9]); |
| 465 | half ha(aux[10]); |
| 466 | half hb(aux[11]); |
| 467 | half hc(aux[12]); |
| 468 | half hd(aux[13]); |
| 469 | half he(aux[14]); |
| 470 | half hf(aux[15]); |
| 471 | |
| 472 | Packet16h result; |
| 473 | result.x = _mm256_set_epi16( |
| 474 | hf.x, he.x, hd.x, hc.x, hb.x, ha.x, h9.x, h8.x, |
| 475 | h7.x, h6.x, h5.x, h4.x, h3.x, h2.x, h1.x, h0.x); |
| 476 | return result; |
| 477 | #endif |
| 478 | } |
| 479 | |
| 480 | template<> EIGEN_STRONG_INLINE Packet16h padd<Packet16h>(const Packet16h& a, const Packet16h& b) { |
| 481 | Packet16f af = half2float(a); |
| 482 | Packet16f bf = half2float(b); |
| 483 | Packet16f rf = padd(af, bf); |
| 484 | return float2half(rf); |
| 485 | } |
| 486 | |
| 487 | template<> EIGEN_STRONG_INLINE Packet16h pmul<Packet16h>(const Packet16h& a, const Packet16h& b) { |
| 488 | Packet16f af = half2float(a); |
| 489 | Packet16f bf = half2float(b); |
| 490 | Packet16f rf = pmul(af, bf); |
| 491 | return float2half(rf); |
| 492 | } |
| 493 | |
| 494 | template<> EIGEN_STRONG_INLINE half predux<Packet16h>(const Packet16h& from) { |
| 495 | Packet16f from_float = half2float(from); |
| 496 | return half(predux(from_float)); |
| 497 | } |
| 498 | |
| 499 | template<> EIGEN_STRONG_INLINE Packet16h pgather<Eigen::half, Packet16h>(const Eigen::half* from, Index stride) |
| 500 | { |
| 501 | Packet16h result; |
| 502 | result.x = _mm256_set_epi16( |
| 503 | from[15*stride].x, from[14*stride].x, from[13*stride].x, from[12*stride].x, |
| 504 | from[11*stride].x, from[10*stride].x, from[9*stride].x, from[8*stride].x, |
| 505 | from[7*stride].x, from[6*stride].x, from[5*stride].x, from[4*stride].x, |
| 506 | from[3*stride].x, from[2*stride].x, from[1*stride].x, from[0*stride].x); |
| 507 | return result; |
| 508 | } |
| 509 | |
| 510 | template<> EIGEN_STRONG_INLINE void pscatter<half, Packet16h>(half* to, const Packet16h& from, Index stride) |
| 511 | { |
| 512 | EIGEN_ALIGN64 half aux[16]; |
| 513 | pstore(aux, from); |
| 514 | to[stride*0].x = aux[0].x; |
| 515 | to[stride*1].x = aux[1].x; |
| 516 | to[stride*2].x = aux[2].x; |
| 517 | to[stride*3].x = aux[3].x; |
| 518 | to[stride*4].x = aux[4].x; |
| 519 | to[stride*5].x = aux[5].x; |
| 520 | to[stride*6].x = aux[6].x; |
| 521 | to[stride*7].x = aux[7].x; |
| 522 | to[stride*8].x = aux[8].x; |
| 523 | to[stride*9].x = aux[9].x; |
| 524 | to[stride*10].x = aux[10].x; |
| 525 | to[stride*11].x = aux[11].x; |
| 526 | to[stride*12].x = aux[12].x; |
| 527 | to[stride*13].x = aux[13].x; |
| 528 | to[stride*14].x = aux[14].x; |
| 529 | to[stride*15].x = aux[15].x; |
| 530 | } |
| 531 | |
| 532 | EIGEN_STRONG_INLINE void |
| 533 | ptranspose(PacketBlock<Packet16h,16>& kernel) { |
| 534 | __m256i a = kernel.packet[0].x; |
| 535 | __m256i b = kernel.packet[1].x; |
| 536 | __m256i c = kernel.packet[2].x; |
| 537 | __m256i d = kernel.packet[3].x; |
| 538 | __m256i e = kernel.packet[4].x; |
| 539 | __m256i f = kernel.packet[5].x; |
| 540 | __m256i g = kernel.packet[6].x; |
| 541 | __m256i h = kernel.packet[7].x; |
| 542 | __m256i i = kernel.packet[8].x; |
| 543 | __m256i j = kernel.packet[9].x; |
| 544 | __m256i k = kernel.packet[10].x; |
| 545 | __m256i l = kernel.packet[11].x; |
| 546 | __m256i m = kernel.packet[12].x; |
| 547 | __m256i n = kernel.packet[13].x; |
| 548 | __m256i o = kernel.packet[14].x; |
| 549 | __m256i p = kernel.packet[15].x; |
| 550 | |
| 551 | __m256i ab_07 = _mm256_unpacklo_epi16(a, b); |
| 552 | __m256i cd_07 = _mm256_unpacklo_epi16(c, d); |
| 553 | __m256i ef_07 = _mm256_unpacklo_epi16(e, f); |
| 554 | __m256i gh_07 = _mm256_unpacklo_epi16(g, h); |
| 555 | __m256i ij_07 = _mm256_unpacklo_epi16(i, j); |
| 556 | __m256i kl_07 = _mm256_unpacklo_epi16(k, l); |
| 557 | __m256i mn_07 = _mm256_unpacklo_epi16(m, n); |
| 558 | __m256i op_07 = _mm256_unpacklo_epi16(o, p); |
| 559 | |
| 560 | __m256i ab_8f = _mm256_unpackhi_epi16(a, b); |
| 561 | __m256i cd_8f = _mm256_unpackhi_epi16(c, d); |
| 562 | __m256i ef_8f = _mm256_unpackhi_epi16(e, f); |
| 563 | __m256i gh_8f = _mm256_unpackhi_epi16(g, h); |
| 564 | __m256i ij_8f = _mm256_unpackhi_epi16(i, j); |
| 565 | __m256i kl_8f = _mm256_unpackhi_epi16(k, l); |
| 566 | __m256i mn_8f = _mm256_unpackhi_epi16(m, n); |
| 567 | __m256i op_8f = _mm256_unpackhi_epi16(o, p); |
| 568 | |
| 569 | __m256i abcd_03 = _mm256_unpacklo_epi32(ab_07, cd_07); |
| 570 | __m256i abcd_47 = _mm256_unpackhi_epi32(ab_07, cd_07); |
| 571 | __m256i efgh_03 = _mm256_unpacklo_epi32(ef_07, gh_07); |
| 572 | __m256i efgh_47 = _mm256_unpackhi_epi32(ef_07, gh_07); |
| 573 | __m256i ijkl_03 = _mm256_unpacklo_epi32(ij_07, kl_07); |
| 574 | __m256i ijkl_47 = _mm256_unpackhi_epi32(ij_07, kl_07); |
| 575 | __m256i mnop_03 = _mm256_unpacklo_epi32(mn_07, op_07); |
| 576 | __m256i mnop_47 = _mm256_unpackhi_epi32(mn_07, op_07); |
| 577 | |
| 578 | __m256i abcd_8b = _mm256_unpacklo_epi32(ab_8f, cd_8f); |
| 579 | __m256i abcd_cf = _mm256_unpackhi_epi32(ab_8f, cd_8f); |
| 580 | __m256i efgh_8b = _mm256_unpacklo_epi32(ef_8f, gh_8f); |
| 581 | __m256i efgh_cf = _mm256_unpackhi_epi32(ef_8f, gh_8f); |
| 582 | __m256i ijkl_8b = _mm256_unpacklo_epi32(ij_8f, kl_8f); |
| 583 | __m256i ijkl_cf = _mm256_unpackhi_epi32(ij_8f, kl_8f); |
| 584 | __m256i mnop_8b = _mm256_unpacklo_epi32(mn_8f, op_8f); |
| 585 | __m256i mnop_cf = _mm256_unpackhi_epi32(mn_8f, op_8f); |
| 586 | |
| 587 | __m256i abcdefgh_01 = _mm256_unpacklo_epi64(abcd_03, efgh_03); |
| 588 | __m256i abcdefgh_23 = _mm256_unpackhi_epi64(abcd_03, efgh_03); |
| 589 | __m256i ijklmnop_01 = _mm256_unpacklo_epi64(ijkl_03, mnop_03); |
| 590 | __m256i ijklmnop_23 = _mm256_unpackhi_epi64(ijkl_03, mnop_03); |
| 591 | __m256i abcdefgh_45 = _mm256_unpacklo_epi64(abcd_47, efgh_47); |
| 592 | __m256i abcdefgh_67 = _mm256_unpackhi_epi64(abcd_47, efgh_47); |
| 593 | __m256i ijklmnop_45 = _mm256_unpacklo_epi64(ijkl_47, mnop_47); |
| 594 | __m256i ijklmnop_67 = _mm256_unpackhi_epi64(ijkl_47, mnop_47); |
| 595 | __m256i abcdefgh_89 = _mm256_unpacklo_epi64(abcd_8b, efgh_8b); |
| 596 | __m256i abcdefgh_ab = _mm256_unpackhi_epi64(abcd_8b, efgh_8b); |
| 597 | __m256i ijklmnop_89 = _mm256_unpacklo_epi64(ijkl_8b, mnop_8b); |
| 598 | __m256i ijklmnop_ab = _mm256_unpackhi_epi64(ijkl_8b, mnop_8b); |
| 599 | __m256i abcdefgh_cd = _mm256_unpacklo_epi64(abcd_cf, efgh_cf); |
| 600 | __m256i abcdefgh_ef = _mm256_unpackhi_epi64(abcd_cf, efgh_cf); |
| 601 | __m256i ijklmnop_cd = _mm256_unpacklo_epi64(ijkl_cf, mnop_cf); |
| 602 | __m256i ijklmnop_ef = _mm256_unpackhi_epi64(ijkl_cf, mnop_cf); |
| 603 | |
| 604 | // NOTE: no unpacklo/hi instr in this case, so using permute instr. |
| 605 | __m256i a_p_0 = _mm256_permute2x128_si256(abcdefgh_01, ijklmnop_01, 0x20); |
| 606 | __m256i a_p_1 = _mm256_permute2x128_si256(abcdefgh_01, ijklmnop_01, 0x31); |
| 607 | __m256i a_p_2 = _mm256_permute2x128_si256(abcdefgh_23, ijklmnop_23, 0x20); |
| 608 | __m256i a_p_3 = _mm256_permute2x128_si256(abcdefgh_23, ijklmnop_23, 0x31); |
| 609 | __m256i a_p_4 = _mm256_permute2x128_si256(abcdefgh_45, ijklmnop_45, 0x20); |
| 610 | __m256i a_p_5 = _mm256_permute2x128_si256(abcdefgh_45, ijklmnop_45, 0x31); |
| 611 | __m256i a_p_6 = _mm256_permute2x128_si256(abcdefgh_67, ijklmnop_67, 0x20); |
| 612 | __m256i a_p_7 = _mm256_permute2x128_si256(abcdefgh_67, ijklmnop_67, 0x31); |
| 613 | __m256i a_p_8 = _mm256_permute2x128_si256(abcdefgh_89, ijklmnop_89, 0x20); |
| 614 | __m256i a_p_9 = _mm256_permute2x128_si256(abcdefgh_89, ijklmnop_89, 0x31); |
| 615 | __m256i a_p_a = _mm256_permute2x128_si256(abcdefgh_ab, ijklmnop_ab, 0x20); |
| 616 | __m256i a_p_b = _mm256_permute2x128_si256(abcdefgh_ab, ijklmnop_ab, 0x31); |
| 617 | __m256i a_p_c = _mm256_permute2x128_si256(abcdefgh_cd, ijklmnop_cd, 0x20); |
| 618 | __m256i a_p_d = _mm256_permute2x128_si256(abcdefgh_cd, ijklmnop_cd, 0x31); |
| 619 | __m256i a_p_e = _mm256_permute2x128_si256(abcdefgh_ef, ijklmnop_ef, 0x20); |
| 620 | __m256i a_p_f = _mm256_permute2x128_si256(abcdefgh_ef, ijklmnop_ef, 0x31); |
| 621 | |
| 622 | kernel.packet[0].x = a_p_0; |
| 623 | kernel.packet[1].x = a_p_1; |
| 624 | kernel.packet[2].x = a_p_2; |
| 625 | kernel.packet[3].x = a_p_3; |
| 626 | kernel.packet[4].x = a_p_4; |
| 627 | kernel.packet[5].x = a_p_5; |
| 628 | kernel.packet[6].x = a_p_6; |
| 629 | kernel.packet[7].x = a_p_7; |
| 630 | kernel.packet[8].x = a_p_8; |
| 631 | kernel.packet[9].x = a_p_9; |
| 632 | kernel.packet[10].x = a_p_a; |
| 633 | kernel.packet[11].x = a_p_b; |
| 634 | kernel.packet[12].x = a_p_c; |
| 635 | kernel.packet[13].x = a_p_d; |
| 636 | kernel.packet[14].x = a_p_e; |
| 637 | kernel.packet[15].x = a_p_f; |
| 638 | } |
| 639 | |
| 640 | EIGEN_STRONG_INLINE void |
| 641 | ptranspose(PacketBlock<Packet16h,8>& kernel) { |
| 642 | EIGEN_ALIGN64 half in[8][16]; |
| 643 | pstore<half>(in[0], kernel.packet[0]); |
| 644 | pstore<half>(in[1], kernel.packet[1]); |
| 645 | pstore<half>(in[2], kernel.packet[2]); |
| 646 | pstore<half>(in[3], kernel.packet[3]); |
| 647 | pstore<half>(in[4], kernel.packet[4]); |
| 648 | pstore<half>(in[5], kernel.packet[5]); |
| 649 | pstore<half>(in[6], kernel.packet[6]); |
| 650 | pstore<half>(in[7], kernel.packet[7]); |
| 651 | |
| 652 | EIGEN_ALIGN64 half out[8][16]; |
| 653 | |
| 654 | for (int i = 0; i < 8; ++i) { |
| 655 | for (int j = 0; j < 8; ++j) { |
| 656 | out[i][j] = in[j][2*i]; |
| 657 | } |
| 658 | for (int j = 0; j < 8; ++j) { |
| 659 | out[i][j+8] = in[j][2*i+1]; |
| 660 | } |
| 661 | } |
| 662 | |
| 663 | kernel.packet[0] = pload<Packet16h>(out[0]); |
| 664 | kernel.packet[1] = pload<Packet16h>(out[1]); |
| 665 | kernel.packet[2] = pload<Packet16h>(out[2]); |
| 666 | kernel.packet[3] = pload<Packet16h>(out[3]); |
| 667 | kernel.packet[4] = pload<Packet16h>(out[4]); |
| 668 | kernel.packet[5] = pload<Packet16h>(out[5]); |
| 669 | kernel.packet[6] = pload<Packet16h>(out[6]); |
| 670 | kernel.packet[7] = pload<Packet16h>(out[7]); |
| 671 | } |
| 672 | |
| 673 | EIGEN_STRONG_INLINE void |
| 674 | ptranspose(PacketBlock<Packet16h,4>& kernel) { |
| 675 | EIGEN_ALIGN64 half in[4][16]; |
| 676 | pstore<half>(in[0], kernel.packet[0]); |
| 677 | pstore<half>(in[1], kernel.packet[1]); |
| 678 | pstore<half>(in[2], kernel.packet[2]); |
| 679 | pstore<half>(in[3], kernel.packet[3]); |
| 680 | |
| 681 | EIGEN_ALIGN64 half out[4][16]; |
| 682 | |
| 683 | for (int i = 0; i < 4; ++i) { |
| 684 | for (int j = 0; j < 4; ++j) { |
| 685 | out[i][j] = in[j][4*i]; |
| 686 | } |
| 687 | for (int j = 0; j < 4; ++j) { |
| 688 | out[i][j+4] = in[j][4*i+1]; |
| 689 | } |
| 690 | for (int j = 0; j < 4; ++j) { |
| 691 | out[i][j+8] = in[j][4*i+2]; |
| 692 | } |
| 693 | for (int j = 0; j < 4; ++j) { |
| 694 | out[i][j+12] = in[j][4*i+3]; |
| 695 | } |
| 696 | } |
| 697 | |
| 698 | kernel.packet[0] = pload<Packet16h>(out[0]); |
| 699 | kernel.packet[1] = pload<Packet16h>(out[1]); |
| 700 | kernel.packet[2] = pload<Packet16h>(out[2]); |
| 701 | kernel.packet[3] = pload<Packet16h>(out[3]); |
| 702 | } |
| 703 | |
| 704 | |
| 705 | #elif defined EIGEN_VECTORIZE_AVX |
| 706 | |
| 707 | typedef struct { |
| 708 | __m128i x; |
| 709 | } Packet8h; |
| 710 | |
| 711 | |
| 712 | template<> struct is_arithmetic<Packet8h> { enum { value = true }; }; |
| 713 | |
| 714 | template <> |
| 715 | struct packet_traits<Eigen::half> : default_packet_traits { |
| 716 | typedef Packet8h type; |
| 717 | // There is no half-size packet for Packet8h. |
| 718 | typedef Packet8h half; |
| 719 | enum { |
| 720 | Vectorizable = 1, |
| 721 | AlignedOnScalar = 1, |
| 722 | size = 8, |
| 723 | HasHalfPacket = 0, |
| 724 | HasAdd = 0, |
| 725 | HasSub = 0, |
| 726 | HasMul = 0, |
| 727 | HasNegate = 0, |
| 728 | HasAbs = 0, |
| 729 | HasAbs2 = 0, |
| 730 | HasMin = 0, |
| 731 | HasMax = 0, |
| 732 | HasConj = 0, |
| 733 | HasSetLinear = 0, |
| 734 | HasDiv = 0, |
| 735 | HasSqrt = 0, |
| 736 | HasRsqrt = 0, |
| 737 | HasExp = 0, |
| 738 | HasLog = 0, |
| 739 | HasBlend = 0 |
| 740 | }; |
| 741 | }; |
| 742 | |
| 743 | |
| 744 | template<> struct unpacket_traits<Packet8h> { typedef Eigen::half type; enum {size=8, alignment=Aligned16}; typedef Packet8h half; }; |
| 745 | |
| 746 | template<> EIGEN_STRONG_INLINE Packet8h pset1<Packet8h>(const Eigen::half& from) { |
| 747 | Packet8h result; |
| 748 | result.x = _mm_set1_epi16(from.x); |
| 749 | return result; |
| 750 | } |
| 751 | |
| 752 | template<> EIGEN_STRONG_INLINE Eigen::half pfirst<Packet8h>(const Packet8h& from) { |
| 753 | return half_impl::raw_uint16_to_half(static_cast<unsigned short>(_mm_extract_epi16(from.x, 0))); |
| 754 | } |
| 755 | |
| 756 | template<> EIGEN_STRONG_INLINE Packet8h pload<Packet8h>(const Eigen::half* from) { |
| 757 | Packet8h result; |
| 758 | result.x = _mm_load_si128(reinterpret_cast<const __m128i*>(from)); |
| 759 | return result; |
| 760 | } |
| 761 | |
| 762 | template<> EIGEN_STRONG_INLINE Packet8h ploadu<Packet8h>(const Eigen::half* from) { |
| 763 | Packet8h result; |
| 764 | result.x = _mm_loadu_si128(reinterpret_cast<const __m128i*>(from)); |
| 765 | return result; |
| 766 | } |
| 767 | |
| 768 | template<> EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const Packet8h& from) { |
| 769 | _mm_store_si128(reinterpret_cast<__m128i*>(to), from.x); |
| 770 | } |
| 771 | |
| 772 | template<> EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const Packet8h& from) { |
| 773 | _mm_storeu_si128(reinterpret_cast<__m128i*>(to), from.x); |
| 774 | } |
| 775 | |
| 776 | template<> EIGEN_STRONG_INLINE Packet8h |
| 777 | ploadquad<Packet8h>(const Eigen::half* from) { |
| 778 | Packet8h result; |
| 779 | unsigned short a = from[0].x; |
| 780 | unsigned short b = from[1].x; |
| 781 | result.x = _mm_set_epi16(b, b, b, b, a, a, a, a); |
| 782 | return result; |
| 783 | } |
| 784 | |
| 785 | EIGEN_STRONG_INLINE Packet8f half2float(const Packet8h& a) { |
| 786 | #ifdef EIGEN_HAS_FP16_C |
| 787 | return _mm256_cvtph_ps(a.x); |
| 788 | #else |
| 789 | EIGEN_ALIGN32 Eigen::half aux[8]; |
| 790 | pstore(aux, a); |
| 791 | float f0(aux[0]); |
| 792 | float f1(aux[1]); |
| 793 | float f2(aux[2]); |
| 794 | float f3(aux[3]); |
| 795 | float f4(aux[4]); |
| 796 | float f5(aux[5]); |
| 797 | float f6(aux[6]); |
| 798 | float f7(aux[7]); |
| 799 | |
| 800 | return _mm256_set_ps(f7, f6, f5, f4, f3, f2, f1, f0); |
| 801 | #endif |
| 802 | } |
| 803 | |
| 804 | EIGEN_STRONG_INLINE Packet8h float2half(const Packet8f& a) { |
| 805 | #ifdef EIGEN_HAS_FP16_C |
| 806 | Packet8h result; |
| 807 | result.x = _mm256_cvtps_ph(a, _MM_FROUND_TO_NEAREST_INT|_MM_FROUND_NO_EXC); |
| 808 | return result; |
| 809 | #else |
| 810 | EIGEN_ALIGN32 float aux[8]; |
| 811 | pstore(aux, a); |
| 812 | Eigen::half h0(aux[0]); |
| 813 | Eigen::half h1(aux[1]); |
| 814 | Eigen::half h2(aux[2]); |
| 815 | Eigen::half h3(aux[3]); |
| 816 | Eigen::half h4(aux[4]); |
| 817 | Eigen::half h5(aux[5]); |
| 818 | Eigen::half h6(aux[6]); |
| 819 | Eigen::half h7(aux[7]); |
| 820 | |
| 821 | Packet8h result; |
| 822 | result.x = _mm_set_epi16(h7.x, h6.x, h5.x, h4.x, h3.x, h2.x, h1.x, h0.x); |
| 823 | return result; |
| 824 | #endif |
| 825 | } |
| 826 | |
| 827 | template<> EIGEN_STRONG_INLINE Packet8h pconj(const Packet8h& a) { return a; } |
| 828 | |
| 829 | template<> EIGEN_STRONG_INLINE Packet8h padd<Packet8h>(const Packet8h& a, const Packet8h& b) { |
| 830 | Packet8f af = half2float(a); |
| 831 | Packet8f bf = half2float(b); |
| 832 | Packet8f rf = padd(af, bf); |
| 833 | return float2half(rf); |
| 834 | } |
| 835 | |
| 836 | template<> EIGEN_STRONG_INLINE Packet8h pmul<Packet8h>(const Packet8h& a, const Packet8h& b) { |
| 837 | Packet8f af = half2float(a); |
| 838 | Packet8f bf = half2float(b); |
| 839 | Packet8f rf = pmul(af, bf); |
| 840 | return float2half(rf); |
| 841 | } |
| 842 | |
| 843 | template<> EIGEN_STRONG_INLINE Packet8h pgather<Eigen::half, Packet8h>(const Eigen::half* from, Index stride) |
| 844 | { |
| 845 | Packet8h result; |
| 846 | result.x = _mm_set_epi16(from[7*stride].x, from[6*stride].x, from[5*stride].x, from[4*stride].x, from[3*stride].x, from[2*stride].x, from[1*stride].x, from[0*stride].x); |
| 847 | return result; |
| 848 | } |
| 849 | |
| 850 | template<> EIGEN_STRONG_INLINE void pscatter<Eigen::half, Packet8h>(Eigen::half* to, const Packet8h& from, Index stride) |
| 851 | { |
| 852 | EIGEN_ALIGN32 Eigen::half aux[8]; |
| 853 | pstore(aux, from); |
| 854 | to[stride*0].x = aux[0].x; |
| 855 | to[stride*1].x = aux[1].x; |
| 856 | to[stride*2].x = aux[2].x; |
| 857 | to[stride*3].x = aux[3].x; |
| 858 | to[stride*4].x = aux[4].x; |
| 859 | to[stride*5].x = aux[5].x; |
| 860 | to[stride*6].x = aux[6].x; |
| 861 | to[stride*7].x = aux[7].x; |
| 862 | } |
| 863 | |
| 864 | template<> EIGEN_STRONG_INLINE Eigen::half predux<Packet8h>(const Packet8h& a) { |
| 865 | Packet8f af = half2float(a); |
| 866 | float reduced = predux<Packet8f>(af); |
| 867 | return Eigen::half(reduced); |
| 868 | } |
| 869 | |
| 870 | template<> EIGEN_STRONG_INLINE Eigen::half predux_max<Packet8h>(const Packet8h& a) { |
| 871 | Packet8f af = half2float(a); |
| 872 | float reduced = predux_max<Packet8f>(af); |
| 873 | return Eigen::half(reduced); |
| 874 | } |
| 875 | |
| 876 | template<> EIGEN_STRONG_INLINE Eigen::half predux_min<Packet8h>(const Packet8h& a) { |
| 877 | Packet8f af = half2float(a); |
| 878 | float reduced = predux_min<Packet8f>(af); |
| 879 | return Eigen::half(reduced); |
| 880 | } |
| 881 | |
| 882 | template<> EIGEN_STRONG_INLINE Eigen::half predux_mul<Packet8h>(const Packet8h& a) { |
| 883 | Packet8f af = half2float(a); |
| 884 | float reduced = predux_mul<Packet8f>(af); |
| 885 | return Eigen::half(reduced); |
| 886 | } |
| 887 | |
| 888 | EIGEN_STRONG_INLINE void |
| 889 | ptranspose(PacketBlock<Packet8h,8>& kernel) { |
| 890 | __m128i a = kernel.packet[0].x; |
| 891 | __m128i b = kernel.packet[1].x; |
| 892 | __m128i c = kernel.packet[2].x; |
| 893 | __m128i d = kernel.packet[3].x; |
| 894 | __m128i e = kernel.packet[4].x; |
| 895 | __m128i f = kernel.packet[5].x; |
| 896 | __m128i g = kernel.packet[6].x; |
| 897 | __m128i h = kernel.packet[7].x; |
| 898 | |
| 899 | __m128i a03b03 = _mm_unpacklo_epi16(a, b); |
| 900 | __m128i c03d03 = _mm_unpacklo_epi16(c, d); |
| 901 | __m128i e03f03 = _mm_unpacklo_epi16(e, f); |
| 902 | __m128i g03h03 = _mm_unpacklo_epi16(g, h); |
| 903 | __m128i a47b47 = _mm_unpackhi_epi16(a, b); |
| 904 | __m128i c47d47 = _mm_unpackhi_epi16(c, d); |
| 905 | __m128i e47f47 = _mm_unpackhi_epi16(e, f); |
| 906 | __m128i g47h47 = _mm_unpackhi_epi16(g, h); |
| 907 | |
| 908 | __m128i a01b01c01d01 = _mm_unpacklo_epi32(a03b03, c03d03); |
| 909 | __m128i a23b23c23d23 = _mm_unpackhi_epi32(a03b03, c03d03); |
| 910 | __m128i e01f01g01h01 = _mm_unpacklo_epi32(e03f03, g03h03); |
| 911 | __m128i e23f23g23h23 = _mm_unpackhi_epi32(e03f03, g03h03); |
| 912 | __m128i a45b45c45d45 = _mm_unpacklo_epi32(a47b47, c47d47); |
| 913 | __m128i a67b67c67d67 = _mm_unpackhi_epi32(a47b47, c47d47); |
| 914 | __m128i e45f45g45h45 = _mm_unpacklo_epi32(e47f47, g47h47); |
| 915 | __m128i e67f67g67h67 = _mm_unpackhi_epi32(e47f47, g47h47); |
| 916 | |
| 917 | __m128i a0b0c0d0e0f0g0h0 = _mm_unpacklo_epi64(a01b01c01d01, e01f01g01h01); |
| 918 | __m128i a1b1c1d1e1f1g1h1 = _mm_unpackhi_epi64(a01b01c01d01, e01f01g01h01); |
| 919 | __m128i a2b2c2d2e2f2g2h2 = _mm_unpacklo_epi64(a23b23c23d23, e23f23g23h23); |
| 920 | __m128i a3b3c3d3e3f3g3h3 = _mm_unpackhi_epi64(a23b23c23d23, e23f23g23h23); |
| 921 | __m128i a4b4c4d4e4f4g4h4 = _mm_unpacklo_epi64(a45b45c45d45, e45f45g45h45); |
| 922 | __m128i a5b5c5d5e5f5g5h5 = _mm_unpackhi_epi64(a45b45c45d45, e45f45g45h45); |
| 923 | __m128i a6b6c6d6e6f6g6h6 = _mm_unpacklo_epi64(a67b67c67d67, e67f67g67h67); |
| 924 | __m128i a7b7c7d7e7f7g7h7 = _mm_unpackhi_epi64(a67b67c67d67, e67f67g67h67); |
| 925 | |
| 926 | kernel.packet[0].x = a0b0c0d0e0f0g0h0; |
| 927 | kernel.packet[1].x = a1b1c1d1e1f1g1h1; |
| 928 | kernel.packet[2].x = a2b2c2d2e2f2g2h2; |
| 929 | kernel.packet[3].x = a3b3c3d3e3f3g3h3; |
| 930 | kernel.packet[4].x = a4b4c4d4e4f4g4h4; |
| 931 | kernel.packet[5].x = a5b5c5d5e5f5g5h5; |
| 932 | kernel.packet[6].x = a6b6c6d6e6f6g6h6; |
| 933 | kernel.packet[7].x = a7b7c7d7e7f7g7h7; |
| 934 | } |
| 935 | |
| 936 | EIGEN_STRONG_INLINE void |
| 937 | ptranspose(PacketBlock<Packet8h,4>& kernel) { |
| 938 | EIGEN_ALIGN32 Eigen::half in[4][8]; |
| 939 | pstore<Eigen::half>(in[0], kernel.packet[0]); |
| 940 | pstore<Eigen::half>(in[1], kernel.packet[1]); |
| 941 | pstore<Eigen::half>(in[2], kernel.packet[2]); |
| 942 | pstore<Eigen::half>(in[3], kernel.packet[3]); |
| 943 | |
| 944 | EIGEN_ALIGN32 Eigen::half out[4][8]; |
| 945 | |
| 946 | for (int i = 0; i < 4; ++i) { |
| 947 | for (int j = 0; j < 4; ++j) { |
| 948 | out[i][j] = in[j][2*i]; |
| 949 | } |
| 950 | for (int j = 0; j < 4; ++j) { |
| 951 | out[i][j+4] = in[j][2*i+1]; |
| 952 | } |
| 953 | } |
| 954 | |
| 955 | kernel.packet[0] = pload<Packet8h>(out[0]); |
| 956 | kernel.packet[1] = pload<Packet8h>(out[1]); |
| 957 | kernel.packet[2] = pload<Packet8h>(out[2]); |
| 958 | kernel.packet[3] = pload<Packet8h>(out[3]); |
| 959 | } |
| 960 | |
| 961 | |
| 962 | // Disable the following code since it's broken on too many platforms / compilers. |
| 963 | //#elif defined(EIGEN_VECTORIZE_SSE) && (!EIGEN_ARCH_x86_64) && (!EIGEN_COMP_MSVC) |
| 964 | #elif 0 |
| 965 | |
| 966 | typedef struct { |
| 967 | __m64 x; |
| 968 | } Packet4h; |
| 969 | |
| 970 | |
| 971 | template<> struct is_arithmetic<Packet4h> { enum { value = true }; }; |
| 972 | |
| 973 | template <> |
| 974 | struct packet_traits<Eigen::half> : default_packet_traits { |
| 975 | typedef Packet4h type; |
| 976 | // There is no half-size packet for Packet4h. |
| 977 | typedef Packet4h half; |
| 978 | enum { |
| 979 | Vectorizable = 1, |
| 980 | AlignedOnScalar = 1, |
| 981 | size = 4, |
| 982 | HasHalfPacket = 0, |
| 983 | HasAdd = 0, |
| 984 | HasSub = 0, |
| 985 | HasMul = 0, |
| 986 | HasNegate = 0, |
| 987 | HasAbs = 0, |
| 988 | HasAbs2 = 0, |
| 989 | HasMin = 0, |
| 990 | HasMax = 0, |
| 991 | HasConj = 0, |
| 992 | HasSetLinear = 0, |
| 993 | HasDiv = 0, |
| 994 | HasSqrt = 0, |
| 995 | HasRsqrt = 0, |
| 996 | HasExp = 0, |
| 997 | HasLog = 0, |
| 998 | HasBlend = 0 |
| 999 | }; |
| 1000 | }; |
| 1001 | |
| 1002 | |
| 1003 | template<> struct unpacket_traits<Packet4h> { typedef Eigen::half type; enum {size=4, alignment=Aligned16}; typedef Packet4h half; }; |
| 1004 | |
| 1005 | template<> EIGEN_STRONG_INLINE Packet4h pset1<Packet4h>(const Eigen::half& from) { |
| 1006 | Packet4h result; |
| 1007 | result.x = _mm_set1_pi16(from.x); |
| 1008 | return result; |
| 1009 | } |
| 1010 | |
| 1011 | template<> EIGEN_STRONG_INLINE Eigen::half pfirst<Packet4h>(const Packet4h& from) { |
| 1012 | return half_impl::raw_uint16_to_half(static_cast<unsigned short>(_mm_cvtsi64_si32(from.x))); |
| 1013 | } |
| 1014 | |
| 1015 | template<> EIGEN_STRONG_INLINE Packet4h pconj(const Packet4h& a) { return a; } |
| 1016 | |
| 1017 | template<> EIGEN_STRONG_INLINE Packet4h padd<Packet4h>(const Packet4h& a, const Packet4h& b) { |
| 1018 | __int64_t a64 = _mm_cvtm64_si64(a.x); |
| 1019 | __int64_t b64 = _mm_cvtm64_si64(b.x); |
| 1020 | |
| 1021 | Eigen::half h[4]; |
| 1022 | |
| 1023 | Eigen::half ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64)); |
| 1024 | Eigen::half hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64)); |
| 1025 | h[0] = ha + hb; |
| 1026 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 16)); |
| 1027 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 16)); |
| 1028 | h[1] = ha + hb; |
| 1029 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 32)); |
| 1030 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 32)); |
| 1031 | h[2] = ha + hb; |
| 1032 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 48)); |
| 1033 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 48)); |
| 1034 | h[3] = ha + hb; |
| 1035 | Packet4h result; |
| 1036 | result.x = _mm_set_pi16(h[3].x, h[2].x, h[1].x, h[0].x); |
| 1037 | return result; |
| 1038 | } |
| 1039 | |
| 1040 | template<> EIGEN_STRONG_INLINE Packet4h pmul<Packet4h>(const Packet4h& a, const Packet4h& b) { |
| 1041 | __int64_t a64 = _mm_cvtm64_si64(a.x); |
| 1042 | __int64_t b64 = _mm_cvtm64_si64(b.x); |
| 1043 | |
| 1044 | Eigen::half h[4]; |
| 1045 | |
| 1046 | Eigen::half ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64)); |
| 1047 | Eigen::half hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64)); |
| 1048 | h[0] = ha * hb; |
| 1049 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 16)); |
| 1050 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 16)); |
| 1051 | h[1] = ha * hb; |
| 1052 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 32)); |
| 1053 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 32)); |
| 1054 | h[2] = ha * hb; |
| 1055 | ha = half_impl::raw_uint16_to_half(static_cast<unsigned short>(a64 >> 48)); |
| 1056 | hb = half_impl::raw_uint16_to_half(static_cast<unsigned short>(b64 >> 48)); |
| 1057 | h[3] = ha * hb; |
| 1058 | Packet4h result; |
| 1059 | result.x = _mm_set_pi16(h[3].x, h[2].x, h[1].x, h[0].x); |
| 1060 | return result; |
| 1061 | } |
| 1062 | |
| 1063 | template<> EIGEN_STRONG_INLINE Packet4h pload<Packet4h>(const Eigen::half* from) { |
| 1064 | Packet4h result; |
| 1065 | result.x = _mm_cvtsi64_m64(*reinterpret_cast<const __int64_t*>(from)); |
| 1066 | return result; |
| 1067 | } |
| 1068 | |
| 1069 | template<> EIGEN_STRONG_INLINE Packet4h ploadu<Packet4h>(const Eigen::half* from) { |
| 1070 | Packet4h result; |
| 1071 | result.x = _mm_cvtsi64_m64(*reinterpret_cast<const __int64_t*>(from)); |
| 1072 | return result; |
| 1073 | } |
| 1074 | |
| 1075 | template<> EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const Packet4h& from) { |
| 1076 | __int64_t r = _mm_cvtm64_si64(from.x); |
| 1077 | *(reinterpret_cast<__int64_t*>(to)) = r; |
| 1078 | } |
| 1079 | |
| 1080 | template<> EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const Packet4h& from) { |
| 1081 | __int64_t r = _mm_cvtm64_si64(from.x); |
| 1082 | *(reinterpret_cast<__int64_t*>(to)) = r; |
| 1083 | } |
| 1084 | |
| 1085 | template<> EIGEN_STRONG_INLINE Packet4h |
| 1086 | ploadquad<Packet4h>(const Eigen::half* from) { |
| 1087 | return pset1<Packet4h>(*from); |
| 1088 | } |
| 1089 | |
| 1090 | template<> EIGEN_STRONG_INLINE Packet4h pgather<Eigen::half, Packet4h>(const Eigen::half* from, Index stride) |
| 1091 | { |
| 1092 | Packet4h result; |
| 1093 | result.x = _mm_set_pi16(from[3*stride].x, from[2*stride].x, from[1*stride].x, from[0*stride].x); |
| 1094 | return result; |
| 1095 | } |
| 1096 | |
| 1097 | template<> EIGEN_STRONG_INLINE void pscatter<Eigen::half, Packet4h>(Eigen::half* to, const Packet4h& from, Index stride) |
| 1098 | { |
| 1099 | __int64_t a = _mm_cvtm64_si64(from.x); |
| 1100 | to[stride*0].x = static_cast<unsigned short>(a); |
| 1101 | to[stride*1].x = static_cast<unsigned short>(a >> 16); |
| 1102 | to[stride*2].x = static_cast<unsigned short>(a >> 32); |
| 1103 | to[stride*3].x = static_cast<unsigned short>(a >> 48); |
| 1104 | } |
| 1105 | |
| 1106 | EIGEN_STRONG_INLINE void |
| 1107 | ptranspose(PacketBlock<Packet4h,4>& kernel) { |
| 1108 | __m64 T0 = _mm_unpacklo_pi16(kernel.packet[0].x, kernel.packet[1].x); |
| 1109 | __m64 T1 = _mm_unpacklo_pi16(kernel.packet[2].x, kernel.packet[3].x); |
| 1110 | __m64 T2 = _mm_unpackhi_pi16(kernel.packet[0].x, kernel.packet[1].x); |
| 1111 | __m64 T3 = _mm_unpackhi_pi16(kernel.packet[2].x, kernel.packet[3].x); |
| 1112 | |
| 1113 | kernel.packet[0].x = _mm_unpacklo_pi32(T0, T1); |
| 1114 | kernel.packet[1].x = _mm_unpackhi_pi32(T0, T1); |
| 1115 | kernel.packet[2].x = _mm_unpacklo_pi32(T2, T3); |
| 1116 | kernel.packet[3].x = _mm_unpackhi_pi32(T2, T3); |
| 1117 | } |
| 1118 | |
| 1119 | #endif |
| 1120 | |
| 1121 | } |
| 1122 | } |
| 1123 | |
| 1124 | #endif // EIGEN_PACKET_MATH_HALF_CUDA_H |
| 1125 | |