/** * Returns the result of adding two expansions. * * Theorem 13: Let e = sum_(i=1)^m(e_i) and f = sum_(i=1)^n(f_i) be strongly * nonoverlapping expansions of m and n p-bit components, respectively, where * p >= 4. Suppose that the components of both e and f are sorted in order of * increasing magnitude, except that any of the e_i or f_i may be zero. On a * machine whose arithmetic uses the round-to-even rule, the following algorithm * will produce a strongly nonoverlapping expansion h such that * sum_(i=1)^(m+n)(e_i + f_i) = e + f, where the components of h are also in * order of increasing magnitude, except that any of the h_i may be zero. * * See https://people.eecs.berkeley.edu/~jrs/papers/robustr.pdf */ declare function fastExpansionSum(e: number[], f: number[]): number[]; export { fastExpansionSum };