bytesAsFloat16.js 1.2 KB

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  1. 'use strict';
  2. var $pow = require('math-intrinsics/pow');
  3. module.exports = function bytesAsFloat32(rawBytes) {
  4. // return new $Float16Array(new $Uint8Array(rawBytes).buffer)[0];
  5. /*
  6. Let value be the byte elements of rawBytes concatenated and interpreted as a little-endian bit string encoding of an IEEE 754-2019 binary16 value.
  7. If value is a NaN, return NaN.
  8. Return the Number value that corresponds to value.
  9. */
  10. var bits = (rawBytes[1] << 8) | rawBytes[0];
  11. // extract sign, exponent, mantissa
  12. var sign = bits & 0x8000 ? -1 : 1;
  13. var exponent = (bits & 0x7C00) >> 10;
  14. var mantissa = bits & 0x03FF;
  15. // zero (±0)
  16. if (exponent === 0 && mantissa === 0) {
  17. return sign === 1 ? 0 : -0;
  18. }
  19. // infinities
  20. if (exponent === 0x1F && mantissa === 0) {
  21. return sign === 1 ? Infinity : -Infinity;
  22. }
  23. // NaN
  24. if (exponent === 0x1F && mantissa !== 0) {
  25. return NaN;
  26. }
  27. // remove bias (15)
  28. exponent -= 15;
  29. // subnormals
  30. if (exponent === -15) {
  31. // value = sign * (mantissa) * 2^(1-bias-10) = mantissa * 2^(-14-10)
  32. return sign * mantissa * $pow(2, -24);
  33. }
  34. // normals
  35. // value = sign * (1 + mantissa/2^10) * 2^exponent
  36. return sign * (1 + (mantissa * $pow(2, -10))) * $pow(2, exponent);
  37. };