IEEE浮点标准中指数和尾数大小的基本原理是什么? [英] What is the rationale for exponent and mantissa sizes in IEEE floating point standards?

问题描述

我对浮点如何工作有很好的了解，但是我想知道具体的指数和尾数大小是如何确定的.它们在某种程度上是最优的吗?如何测量浮点表示的最优性(我假设有几种方法)?我想这些问题已在官方标准中解决，但我无权访问.

I have a decent understanding of how floating point works, but I want to know how the specific exponent and mantissa sizes were decided upon. Are they optimal in some way? How can optimality be measured for floating point representations (I assume there are several ways)? I imagine these issues are addressed in the official standard, but I don't have access to it.

推荐答案

根据这次对Will Kahan的采访，它们基​​于 VAX F和时代的G格式.

当然，这并不能回答如何选择这些格式的问题...

Of course that doesn't answer the question of how those formats were chosen...

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