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!
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Matt Kindig
le 15 Mai 2013
Wikipedia gives a pretty good overview of how to do so in its article:
I happened to have been reading this article just today.
James Tursa
le 15 Mai 2013
Using just floating point operations? Or allowing for bit manipulation and type casting?
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Jan
le 15 Mai 2013
Modifié(e) : Jan
le 15 Mai 2013
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?
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José-Luis
le 15 Mai 2013
Modifié(e) : José-Luis
le 15 Mai 2013
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.
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