Accurate Evaluation of Polynomials in Legendre Basis

Algorithm 8

EFT of the sum of two floating point numbers (|𝑎|≥|𝑏|).

function [𝑥,𝑦]=𝐹𝑎𝑠𝑡𝑇𝑤𝑜𝑆𝑢𝑚(𝑎,𝑏)

𝑥=𝑎⊕𝑏

𝑦=(𝑎⊖𝑥)⊕𝑏