How to calculate the largest real number in IEEE double and single precision representation.

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How do you calculate (in your own way) the largest real number in IEEE double and single precision representations wihtout using realmax('single') and realmax('double')? thank you!

回答(1 个)

Jan
Jan 2013-5-15
编辑:Jan 2013-5-15
Using the bit-patterns defined e.g. here http://docs.oracle.com/cd/E19957-01/806-3568/ncg_math.html and a typecast should be sufficient. Because IEEE754 is a convention, there is nothing wrong with using the bit-patterns defined in this convention directly.
[EDITED] What about pow2(2 - eps, 1023)? Does this reply the correct answer?
  2 个评论
José-Luis
José-Luis 2013-5-15
编辑:José-Luis 2013-5-15
It should give the correct answer since that is the formula invoked by realmax. Without using eps:
pow2(1 + (1 - 2^-52),1023) == realmax
Or even without pow2:
(1 + (1 - 2^-52))*2^1023 == realmax
Speedwise it might not be optimal but William seemed reluctant to use built-in functions.
Jan
Jan 2013-5-15
编辑:Jan 2013-5-15
@Jose-Luis: Thanks for explaining this. I do not have access to Matlab currently, otherwise I had taken a look into edit realmax.

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