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? ??? ?? C++ SSE/AVX ???? ???? ???? ?? ???? 64?? ?? ?? ????? ????? ??? ?? ????

SSE/AVX ???? ???? ???? ?? ???? 64?? ?? ?? ????? ????? ??? ?? ????

Dec 08, 2024 am 03:02 AM

How Can I Efficiently Convert Between Double-Precision Floats and 64-bit Integers Using SSE/AVX Instructions?

SSE/AVX? ??? ???? Double/int64 ??

SSE2? ???? ?? ???? 32?? ?? ?? ?? ??? ?? ?? ??? ?????. ??? ???? ?? ??? ? 64?? ??? ?? ???? ?? ??? ?????. AVX? ??? ??? ???? ????.

?? ?? ????? ??

1. ??? ?? ??:

?? ??? ???? ?? ? ?? ?? ???? double? int64 ?? ??? ??? ? ????:

  • double -> ; uint64_t:

    __m128i double_to_uint64(__m128d x){
  x = _mm_add_pd(x, _mm_set1_pd(0x0010000000000000));
  return _mm_xor_si128(
      _mm_castpd_si128(x),
      _mm_castpd_si128(_mm_set1_pd(0x0010000000000000))
  );
}

  • ?? -> int64_t:

    __m128i double_to_int64(__m128d x){
  x = _mm_add_pd(x, _mm_set1_pd(0x0018000000000000));
  return _mm_sub_epi64(
      _mm_castpd_si128(x),
      _mm_castpd_si128(_mm_set1_pd(0x0018000000000000))
  );
}

  • uint64_t -> ??:

    __m128d uint64_to_double(__m128i x){
  x = _mm_or_si128(x, _mm_castpd_si128(_mm_set1_pd(0x0010000000000000)));
  return _mm_sub_pd(_mm_castsi128_pd(x), _mm_set1_pd(0x0010000000000000));
}

  • int64_t -> ??:

    __m128d int64_to_double(__m128i x){
  x = _mm_add_epi64(x, _mm_castpd_si128(_mm_set1_pd(0x0018000000000000)));
  return _mm_sub_pd(_mm_castsi128_pd(x), _mm_set1_pd(0x0018000000000000));
}

2. ?? ?? int64 -> double:

?? ?? int64? double? ????? uint64_t? 5?? ???? ???? int64_t? 6?? ???? ?????.

  • uint64_t -> ; ??:

    __m128d uint64_to_double_full(__m128i x){
  __m128i xH = _mm_srli_epi64(x, 32);
  xH = _mm_or_si128(xH, _mm_castpd_si128(_mm_set1_pd(19342813113834066795298816.)));          //  2^84
  __m128i xL = _mm_blend_epi16(x, _mm_castpd_si128(_mm_set1_pd(0x0010000000000000)), 0xcc);   //  2^52
  __m128d f = _mm_sub_pd(_mm_castsi128_pd(xH), _mm_set1_pd(19342813118337666422669312.));     //  2^84 + 2^52
  return _mm_add_pd(f, _mm_castsi128_pd(xL));
}

  • int64_t -> double:

    __m128d int64_to_double_full(__m128i x){
  __m128i xH = _mm_srai_epi32(x, 16);
  xH = _mm_blend_epi16(xH, _mm_setzero_si128(), 0x33);
  xH = _mm_add_epi64(xH, _mm_castpd_si128(_mm_set1_pd(442721857769029238784.)));              //  3*2^67
  __m128i xL = _mm_blend_epi16(x, _mm_castpd_si128(_mm_set1_pd(0x0010000000000000)), 0x88);   //  2^52
  __m128d f = _mm_sub_pd(_mm_castsi128_pd(xH), _mm_set1_pd(442726361368656609280.));          //  3*2^67 + 2^52
  return _mm_add_pd(f, _mm_castsi128_pd(xL));
}

AVX512

AVX512? ?? ?? ??? ?? ?? ?? ???? 64?? ???? ?? ??? ?????. ??????. ??? ??? _mm512_cvtpd_epi64 ? _mm256_cvtpd_epi64? ?? ?? ??? ???? ?????.

??? ???? ??? ??? ???? ????. ??? ?? ??? ?? ??? ???? ??? ?? ????? ???.

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