three/examples/js/Half.js

JavaScript 3D library

/**
 * Source: http://gamedev.stackexchange.com/questions/17326/conversion-of-a-number-from-single-precision-floating-point-representation-to-a/17410#17410
 */

THREE.toHalf = (function() {
  var floatView = new Float32Array(1);
  var int32View = new Int32Array(floatView.buffer);

  /* This method is faster than the OpenEXR implementation (very often
   * used, eg. in Ogre), with the additional benefit of rounding, inspired
   * by James Tursa?s half-precision code. */
  return function toHalf(val) {

    floatView[0] = val;
    var x = int32View[0];

    var bits = (x >> 16) & 0x8000; /* Get the sign */
    var m = (x >> 12) & 0x07ff; /* Keep one extra bit for rounding */
    var e = (x >> 23) & 0xff; /* Using int is faster here */

    /* If zero, or denormal, or exponent underflows too much for a denormal
     * half, return signed zero. */
    if (e < 103) {
      return bits;
    }

    /* If NaN, return NaN. If Inf or exponent overflow, return Inf. */
    if (e > 142) {
      bits |= 0x7c00;
      /* If exponent was 0xff and one mantissa bit was set, it means NaN,
           * not Inf, so make sure we set one mantissa bit too. */
      bits |= ((e == 255) ? 0 : 1) && (x & 0x007fffff);
      return bits;
    }

    /* If exponent underflows but not too much, return a denormal */
    if (e < 113) {
      m |= 0x0800;
      /* Extra rounding may overflow and set mantissa to 0 and exponent
       * to 1, which is OK. */
      bits |= (m >> (114 - e)) + ((m >> (113 - e)) & 1);
      return bits;
    }

    bits |= ((e - 112) << 10) | (m >> 1);
    /* Extra rounding. An overflow will set mantissa to 0 and increment
     * the exponent, which is OK. */
    bits += m & 1;
    return bits;
  };
}());