realmax + 1 infinity?

8 次查看(过去 30 天)
veloamoureuse
veloamoureuse 2019-4-11
评论: Jan 2019-4-11
Hello!
How come is realmax + 1 not inifity when typed into command window?
Thank you.

采纳的回答

Stephen23
Stephen23 2019-4-11
编辑:Stephen23 2019-4-11
Because the value 1 is nowhere near the smallest value that can be added to realmax to create a new value. You would need to add a value that is more than half the difference between representable values around the magnitude of realmax. To get that value try using eps:
>> val = eps(realmax) % much bigger than 1.
val = 1.9958e+292
>> realmax + val/2
ans = Inf
>> realmax + val/3
ans = 1.7977e+308
This is exactly the same as if you add 1e-300 to 10: the answer is 10, because 1e-300 is nowhere near the difference in representable values around the magnitude 10, so adding 1e-300 makes absolutely no difference to the 10.
  1 个评论
Jan
Jan 2019-4-11
Thanks Stephen, I've overseen teh "not" in the question.

请先登录,再进行评论。

更多回答(1 个)

Steven Lord
Steven Lord 2019-4-11
If you handed Bill Gates or Scrooge McDuck a $1 bill, it doesn't change what he'll report for his net worth. A single dollar is negligible compared to how much money he has already.
Similarly, if you add 1 to realmax it doesn't change the value since 1 is negligible compared to realmax. If you want to know how much you'd need to add to realmax to make it not negligible, take a look at the eps function.

类别

Help CenterFile Exchange 中查找有关 Numeric Types 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by