3 ms·
Without a mantissa, way too much precision is allocated to the near zero range and not enough to the "near infinity" range. Consider that without a mantissa, th
by GrantMoyer 1y ago
Without a mantissa, way too much precision is allocated to the near zero range and not enough to the "near infinity" range. Consider that without a mantissa, the second largest float is only half of the largest float. With a 23 bit mantissa, there are 2^23 floats from half the largest to the largest.
- deckar01 1y agoYou could change the scaling factor to target any bounds you want. On average the precision is equal. The mantissa just adds linear segments to a logarithmic curve.
- GrantMoyer 1y ago> On average the precision is equal. The mantissa just adds linear segments to a logarithmic curve. Yes, exactly; the linear regions are needed to more evenly distribute precision, while the average precision remains the same. Alternatively, you can omit the mantissa, but use an exponent base much closer to 1 (perhaps 1 + 2⁻²³).