A bug? input: 1/0 output: -Inf

if x=0, expected output of 1/x is Inf, but matlab output -Inf
load('x.mat')
x==0
Unrecognized function or variable 'x'.
1/0
1/x

2 个评论

Your attached file doesn't contain a variable called x.
x==0 is a comparison, not an assignment. Since you didn't assign x yet, you can't see if it's equal to zero, hence the error. I think you meant x=0, not x==0.

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 采纳的回答

"A bug? input: 1/0 output: -Inf"
Not a bug. Because your value x is actually negative zero not positive zero:
Lets try it now:
x = -0
x = 0
1/x
ans = -Inf
num2hex(x) % yep, definitely negative zero
ans = '8000000000000000'
x = +0
x = 0
1/x
ans = Inf
num2hex(x) % yep, that is positive zero
ans = '0000000000000000'
So far everything is working exactly as expected. Note that a few simple arithmetic operations will convert negative zero to positive zero without affecting any other values, e.g. adding zero:
x = -0;
1/x
ans = -Inf
x = 0+x;
1/x
ans = Inf

4 个评论

Lets take a look at your uploaded data:
S = load('x.mat');
x = S.deltaX
x = 0
1/x
ans = -Inf
num2hex(x) % yep, definitely negative zero
ans = '8000000000000000'
It is helpful, maybe the next step is to figure out why my ''deltaX'' is negative zero, thank you.
How did you obtain that value?
"maybe the next step is to figure out why my ''deltaX'' is negative zero"
Most likely it makes zero(!) difference: note that by definition negative and positive zeros have the same value, so if you are happy with your array being zero-value then simply multiply your array by one (or add zero) and move on to more important tasks.

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更多回答(1 个)

Matt J
Matt J 2024-2-13
编辑:Matt J 2024-2-13

0 个投票

Theorem: 1/0 = Inf if and only if 1/0 is also -Inf.
Proof: Assume first that 1/0=Inf and let us deduce the implication that 1/0=-Inf. By multiplying the numerator and denominator by -1, we obtain,
1/0 = (-1)/(-0) = (-1)/0 = -(1/0) = -Inf
proving the implication Now assume that 1/0=-Inf. Proceeding similarly,
1/0 = (-1)/(-0) = (-1)/0 = -(1/0) = -(-Inf) = +Inf
and the reverse implication is also proved. Q.E.D.

2 个评论

Thank you for your answer, it's interesting, but: .
In other words, when we say , actually it's , here , so the second
''='' of ''1/0 = (-1)/(-0) =...'' should be modified.
You took it way too seriously...

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