Calculating accuracy of decimal places and print out the values

How to find the accuracy of decimal places between the integral approximation and the MATLAB built-in integral function? Eg: if my approximation is 0.50000000 and the true value is 0.52359878, and error is 0. 0 2359878, there is one 0 in front of the error value, '0.0', so the Decimal place will be 1, and when approximation is 0.51666667, error will be 0. 00 693211, there is two 0 , so decimal place will be 2.

Also, how do i only print the approximation and the error values when the decimal place has increased by 1?

[Walter Roberson]

Please do not close questions that have an Answer.

Answer 1

[Ameer Hamza]

You can use the following formula to calculate the number of zeros after decimal position and first non-zero digit

floor(-log10(error))

To only print when accuracy is increased do the following

bestAccuracy = 0;
while bestAccuracy < 10
  integralValue = % calculate your integral here
  error = % calculate yor error here
  accuracy = floor(-log10(error));
  if accuracy > bestAccuracy
    bestAccuracy = accuracy;
    disp(error);
  end
end

This loop will run till best accuracy will become 10.

[Walter Roberson]

log10(1/error) is the same as -log10(error)

[Lorenne]

if i want it to be achieve 8 decimal places then it will be bestAccuracy < 8 right?

[Ameer Hamza]

Yes. If you want to have 8 zeros after decimal points, then use bestAccuracy < 8.

[Lorenne]

Thank you!

Answer 2

[Jaidyn Lai]

ENG1060 assignment I see