Calculating accuracy of decimal places and print out the values

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Lorenne on 6 May 2018
Commented: Walter Roberson on 10 May 2018
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?

Accepted Answer

Ameer Hamza
Ameer Hamza on 6 May 2018
Edited: Ameer Hamza on 6 May 2018
You can use the following formula to calculate the number of zeros after decimal position and first non-zero digit
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;
This loop will run till best accuracy will become 10.

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