psimd.h 6.7 KB

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  1. #pragma once
  2. #ifndef FP16_PSIMD_H
  3. #define FP16_PSIMD_H
  4. #if defined(__cplusplus) && (__cplusplus >= 201103L)
  5. #include <cstdint>
  6. #elif !defined(__OPENCL_VERSION__)
  7. #include <stdint.h>
  8. #endif
  9. #include <psimd.h>
  10. PSIMD_INTRINSIC psimd_f32 fp16_ieee_to_fp32_psimd(psimd_u16 half) {
  11. const psimd_u32 word = (psimd_u32) psimd_interleave_lo_u16(psimd_zero_u16(), half);
  12. const psimd_u32 sign = word & psimd_splat_u32(UINT32_C(0x80000000));
  13. const psimd_u32 shr3_nonsign = (word + word) >> psimd_splat_u32(4);
  14. const psimd_u32 exp_offset = psimd_splat_u32(UINT32_C(0x70000000));
  15. #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) || defined(__GNUC__) && !defined(__STRICT_ANSI__)
  16. const psimd_f32 exp_scale = psimd_splat_f32(0x1.0p-112f);
  17. #else
  18. const psimd_f32 exp_scale = psimd_splat_f32(fp32_from_bits(UINT32_C(0x7800000)));
  19. #endif
  20. const psimd_f32 norm_nonsign = psimd_mul_f32((psimd_f32) (shr3_nonsign + exp_offset), exp_scale);
  21. const psimd_u16 magic_mask = psimd_splat_u16(UINT16_C(0x3E80));
  22. const psimd_f32 magic_bias = psimd_splat_f32(0.25f);
  23. const psimd_f32 denorm_nonsign = psimd_sub_f32((psimd_f32) psimd_interleave_lo_u16(half + half, magic_mask), magic_bias);
  24. const psimd_s32 denorm_cutoff = psimd_splat_s32(INT32_C(0x00800000));
  25. const psimd_s32 denorm_mask = (psimd_s32) shr3_nonsign < denorm_cutoff;
  26. return (psimd_f32) (sign | (psimd_s32) psimd_blend_f32(denorm_mask, denorm_nonsign, norm_nonsign));
  27. }
  28. PSIMD_INTRINSIC psimd_f32x2 fp16_ieee_to_fp32x2_psimd(psimd_u16 half) {
  29. const psimd_u32 word_lo = (psimd_u32) psimd_interleave_lo_u16(psimd_zero_u16(), half);
  30. const psimd_u32 word_hi = (psimd_u32) psimd_interleave_hi_u16(psimd_zero_u16(), half);
  31. const psimd_u32 sign_mask = psimd_splat_u32(UINT32_C(0x80000000));
  32. const psimd_u32 sign_lo = word_lo & sign_mask;
  33. const psimd_u32 sign_hi = word_hi & sign_mask;
  34. const psimd_u32 shr3_nonsign_lo = (word_lo + word_lo) >> psimd_splat_u32(4);
  35. const psimd_u32 shr3_nonsign_hi = (word_hi + word_hi) >> psimd_splat_u32(4);
  36. const psimd_u32 exp_offset = psimd_splat_u32(UINT32_C(0x70000000));
  37. #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) || defined(__GNUC__) && !defined(__STRICT_ANSI__)
  38. const psimd_f32 exp_scale = psimd_splat_f32(0x1.0p-112f);
  39. #else
  40. const psimd_f32 exp_scale = psimd_splat_f32(fp32_from_bits(UINT32_C(0x7800000)));
  41. #endif
  42. const psimd_f32 norm_nonsign_lo = psimd_mul_f32((psimd_f32) (shr3_nonsign_lo + exp_offset), exp_scale);
  43. const psimd_f32 norm_nonsign_hi = psimd_mul_f32((psimd_f32) (shr3_nonsign_hi + exp_offset), exp_scale);
  44. const psimd_u16 magic_mask = psimd_splat_u16(UINT16_C(0x3E80));
  45. const psimd_u16 shl1_half = half + half;
  46. const psimd_f32 magic_bias = psimd_splat_f32(0.25f);
  47. const psimd_f32 denorm_nonsign_lo = psimd_sub_f32((psimd_f32) psimd_interleave_lo_u16(shl1_half, magic_mask), magic_bias);
  48. const psimd_f32 denorm_nonsign_hi = psimd_sub_f32((psimd_f32) psimd_interleave_hi_u16(shl1_half, magic_mask), magic_bias);
  49. const psimd_s32 denorm_cutoff = psimd_splat_s32(INT32_C(0x00800000));
  50. const psimd_s32 denorm_mask_lo = (psimd_s32) shr3_nonsign_lo < denorm_cutoff;
  51. const psimd_s32 denorm_mask_hi = (psimd_s32) shr3_nonsign_hi < denorm_cutoff;
  52. psimd_f32x2 result;
  53. result.lo = (psimd_f32) (sign_lo | (psimd_s32) psimd_blend_f32(denorm_mask_lo, denorm_nonsign_lo, norm_nonsign_lo));
  54. result.hi = (psimd_f32) (sign_hi | (psimd_s32) psimd_blend_f32(denorm_mask_hi, denorm_nonsign_hi, norm_nonsign_hi));
  55. return result;
  56. }
  57. PSIMD_INTRINSIC psimd_f32 fp16_alt_to_fp32_psimd(psimd_u16 half) {
  58. const psimd_u32 word = (psimd_u32) psimd_interleave_lo_u16(psimd_zero_u16(), half);
  59. const psimd_u32 sign = word & psimd_splat_u32(INT32_C(0x80000000));
  60. const psimd_u32 shr3_nonsign = (word + word) >> psimd_splat_u32(4);
  61. #if 0
  62. const psimd_s32 exp112_offset = psimd_splat_s32(INT32_C(0x38000000));
  63. const psimd_s32 nonsign_bits = (psimd_s32) shr3_nonsign + exp112_offset;
  64. const psimd_s32 exp1_offset = psimd_splat_s32(INT32_C(0x00800000));
  65. const psimd_f32 two_nonsign = (psimd_f32) (nonsign_bits + exp1_offset);
  66. const psimd_s32 exp113_offset = exp112_offset | exp1_offset;
  67. return (psimd_f32) (sign | (psimd_s32) psimd_sub_f32(two_nonsign, (psimd_f32) psimd_max_s32(nonsign_bits, exp113_offset)));
  68. #else
  69. const psimd_u32 exp_offset = psimd_splat_u32(UINT32_C(0x38000000));
  70. const psimd_f32 nonsign = (psimd_f32) (shr3_nonsign + exp_offset);
  71. #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) || defined(__GNUC__) && !defined(__STRICT_ANSI__)
  72. const psimd_f32 denorm_bias = psimd_splat_f32(0x1.0p-14f);
  73. #else
  74. const psimd_f32 denorm_bias = psimd_splat_f32(fp32_from_bits(UINT32_C(0x38800000)));
  75. #endif
  76. return (psimd_f32) (sign | (psimd_s32) psimd_sub_f32(psimd_add_f32(nonsign, nonsign), psimd_max_f32(nonsign, denorm_bias)));
  77. #endif
  78. }
  79. PSIMD_INTRINSIC psimd_f32x2 fp16_alt_to_fp32x2_psimd(psimd_u16 half) {
  80. const psimd_u32 word_lo = (psimd_u32) psimd_interleave_lo_u16(psimd_zero_u16(), half);
  81. const psimd_u32 word_hi = (psimd_u32) psimd_interleave_hi_u16(psimd_zero_u16(), half);
  82. const psimd_u32 sign_mask = psimd_splat_u32(UINT32_C(0x80000000));
  83. const psimd_u32 sign_lo = word_lo & sign_mask;
  84. const psimd_u32 sign_hi = word_hi & sign_mask;
  85. const psimd_u32 shr3_nonsign_lo = (word_lo + word_lo) >> psimd_splat_u32(4);
  86. const psimd_u32 shr3_nonsign_hi = (word_hi + word_hi) >> psimd_splat_u32(4);
  87. #if 1
  88. const psimd_s32 exp112_offset = psimd_splat_s32(INT32_C(0x38000000));
  89. const psimd_s32 nonsign_bits_lo = (psimd_s32) shr3_nonsign_lo + exp112_offset;
  90. const psimd_s32 nonsign_bits_hi = (psimd_s32) shr3_nonsign_hi + exp112_offset;
  91. const psimd_s32 exp1_offset = psimd_splat_s32(INT32_C(0x00800000));
  92. const psimd_f32 two_nonsign_lo = (psimd_f32) (nonsign_bits_lo + exp1_offset);
  93. const psimd_f32 two_nonsign_hi = (psimd_f32) (nonsign_bits_hi + exp1_offset);
  94. const psimd_s32 exp113_offset = exp1_offset | exp112_offset;
  95. psimd_f32x2 result;
  96. result.lo = (psimd_f32) (sign_lo | (psimd_s32) psimd_sub_f32(two_nonsign_lo, (psimd_f32) psimd_max_s32(nonsign_bits_lo, exp113_offset)));
  97. result.hi = (psimd_f32) (sign_hi | (psimd_s32) psimd_sub_f32(two_nonsign_hi, (psimd_f32) psimd_max_s32(nonsign_bits_hi, exp113_offset)));
  98. return result;
  99. #else
  100. const psimd_u32 exp_offset = psimd_splat_u32(UINT32_C(0x38000000));
  101. const psimd_f32 nonsign_lo = (psimd_f32) (shr3_nonsign_lo + exp_offset);
  102. const psimd_f32 nonsign_hi = (psimd_f32) (shr3_nonsign_hi + exp_offset);
  103. const psimd_f32 denorm_bias = psimd_splat_f32(0x1.0p-14f);
  104. psimd_f32x2 result;
  105. result.lo = (psimd_f32) (sign_lo | (psimd_s32) psimd_sub_f32(psimd_add_f32(nonsign_lo, nonsign_lo), psimd_max_f32(nonsign_lo, denorm_bias)));
  106. result.hi = (psimd_f32) (sign_hi | (psimd_s32) psimd_sub_f32(psimd_add_f32(nonsign_hi, nonsign_hi), psimd_max_f32(nonsign_hi, denorm_bias)));
  107. return result;
  108. #endif
  109. }
  110. #endif /* FP16_PSIMD_H */