While loop condition to execute until certain number of decimal places of accuracy is achieved

Hi so I am trying to run something in a while loop until a certain number of decimal place is achieve:

so lets say

a = 0.003

b = 0.02

and the absolute difference between them is:

difference = abs(a-b)

and I want to increment a whilst leaving b constant until I get an Accuracy of 3 decimal places for the difference between them.

How would I go about doing this?

Thanks.

[KALYAN ACHARJYA]

Accurracy of 3 decimal places

Accuracy??

[Liam Ryan]

Meaning do it until the variable difference has an accurraccy of 3 decimal places.

So for instance:

if you start of with a = 0.003

and b = 0.2

the difference is: abs(0.003-0.2) = 0.1970.

But I want the difference between them to be really small, so I want the difference to be:

0.000AAAAA

where those AAAAA represents the non zero numbers.

So for 4 decimal place accuracy: want:

0.0000AAAA

Thanks

Answer 1

[David Hill]

Increment by half the difference or whatever you want.

d=1;
while d>.001
    a=a+(a-b)/2;
    d=abs(a-b);
end

[Liam Ryan]

hi so does d>.001make them have an accuraccy of 3 or 2 decimal places?

Thanks

[Image Analyst]

3. It will keep going until the first 3 decimal places of the difference are 0 and there is only a non-zero difference in the 4th or later decimal places.