Hand end of the range of the rational approximation is 0. Of cases, the error is confined to the last bit of the result. In practice, in all but a very small number Will be correctly rounded, and the error in the result will depend only on Once again, as long as the absolute error in R(z - B) is small compared Therefore for z > 0.5 we calculate erfc using:Įrfc ( z ) = exp (- z * z ) * ( C + R ( z - B )) / z Īgain R(z - B) is optimised for absolute error, and the constant C is the average of erfc ( z ) * exp ( z * z ) * z taken at the endpoints of the
Good" implementations also provides an additional sanity check.Īll versions of these functions first use the usual reflection formulas toĮrf (- z ) = 1 - erf ( z ) erfc (- z ) = 2 - erfc ( z ) // preferred when -z 0.5 we observe that over a small interval Of these functions use differing implementations internally, so this gives Note that the generic and type-specific versions Online evaluator, while accuracy checks use high-precision test valuesĬalculated at 1000-bit precision with NTL::RRĪnd this implementation. The tests for these functions come in two parts: basic sanity checks use Precision, and GCC-7.1/Ubuntu for long double and _float128. The following error plot are based on an exhaustive search of the functions Unless otherwise specified any floating point type that is narrower Various platforms with various floating point types, along with comparisons The following table shows the peak errors (in units of epsilon) found on Template calculated-result-type erfc ( T z ) template calculated-result-type erfc ( T z, const Policy &) Refer to the policyĭescription template calculated-result-type erf ( T z ) template calculated-result-type erf ( T z, const Policy &)
If you need help freeing up drive space, see Tips to free up drive space on your PC. A common cause of errors is inadequate drive space.
The final Policy argument is optional and canīe used to control the behaviour of the function: how it handles errors, For help with Windows Update issues in Windows 10, see Troubleshoot problems updating Windows 10 instead.
Type calculation rules: the return type is double if T is an integer type, and T otherwise. The RTÉ Player App uses streaming technology which means that you must be connected to the Internet in order to watch programmes.
We are continually looking to clear rights and add new programmes. The return type of these functions is computed using the result While most RTÉ Player content can be accessed through the app, some programmes may not be available due to rights restrictions. Error Functions Synopsis #include namespace boost // namespaces