Matlab function with inf in end points
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george veropoulos
on 4 Sep 2022
Commented: george veropoulos
on 7 Sep 2022
hi
I have a function define in an range [ a, b ] the function is ιnf at end point F(a)=inf F(b)=inf
there a method to eliminate this singular point?
thank
George
2 Comments
Matt J
on 4 Sep 2022
Edited: Matt J
on 4 Sep 2022
You can rewrite F to give whatever alternative value you wish at a and b, e.g,
tand(89)
tand(90)
F(89)
F(90)
function f=F(x)
f=tand(x);
if isinf(f), f=0; end
end
but whether that will solve your ultimate problem, we've no way of knowing, without more context.
Accepted Answer
Walter Roberson
on 4 Sep 2022
Possibly
In some cases, inf shows up due to loss of precision. For example, if you had A = 1e100, B = 1e10 then A-B is going to evaluate in double precision as being the same as A, in a context where you end up with an infinity as a consequence. These kind of situations can be reduced by using the Symbolic Toolbox.
In some cases, you are working with expressions that mathematically evaluate to something but when evaluated naïvely in floating point numbers, evaluate to inf or nan. Such situations can be reduced by using the Symbolic Toolbox and taking limit() of evaluating an expression at a particular value, instead of just evaluating the expression at the value directly.
In some cases, when you are operating in floating point, temporary expressions can overflow to infinity as far as floating point is concerned, whereas they might mathematically be well defined. For example, log(exp(x)+1) when x > roughly 709.7827. Such situations can be reduced by using the Symbolic Toolbox.
In some cases, you can get around problems by rewriting the order of operations, such as 0.1 + 0.2 - 0.3 being different than 0.1 -0.3 + 0.2 .
In some cases, you can get around problems by doing a log transformation, such as log(y) = log(x1) + log(x2) + log(x3) - log(x4) instead of y = x1 * x2 * x3 / x4
3 Comments
Walter Roberson
on 5 Sep 2022
In that case, NO, you have unremovable discontinuities, and your mathematical choices at those points are +/- inf or nan .
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