How to set up an approximately equal conditional statement?

with a tolerance of a certain value like .05, how would I check if the values for example x = 1 and y = 1.02 were approximately equal?

Answer 1

[Star Strider]

I would do something like this:

x = 1;
y = 1.02;
tol = 0.05;
app_eq = @(x,y,tol) abs(x-y)<tol;

Out = app_eq(x,y,tol)

Out =
   1

The result ‘Out’ is a logical value of 1 or true.

[Prudhvi Raj Sunkara]

thanx

[Star Strider]

My pleasure.

Answer 2

[John D'Errico]

What would this tell you?

abs(x - y)

Answer 3

[Walter Roberson]

You may wish to look at ismembertol()

Answer 4

[Jennifer Rebbin]

Starting in R2024b, you can use the isapprox function to determine if two input arrays are approximately equal. Specify the maximum allowed difference between elements using the AbsoluteTolerance name-value argument.

isapprox(1,1.02,AbsoluteTolerance=0.05)

ans = logical
   1

isapprox(1,1.02,AbsoluteTolerance=0.01)

ans = logical
   0