/** `2 * 2^-53` -> 2x the standard round-of unit `=== Number.EPSILON` */ declare const eps: number; /** `2^-53` -> the standard round-of unit `=== eps/2` */ declare const u: number; /** `2^-106` -> the standard round-of unit for double-double precision `=== (eps/2)**2` */ declare const uu: number; /** * the standard floating point error function evaluated at `1` * * * `=== 1.1102230246251568e-16` * * very close to being `=== Number.EPSILON / 2` */ declare const γ1: number; /** * the standard double-double floating point error function evaluated at `3`; * the `3` factor is due to double-double arithmetic accuracy constraints * * * `=== 3.697785493223493e-32` * * very close to being `=== 3*(Number.EPSILON / 2)**2` */ declare const γγ3: number; /** * The canonical floating point error function, γ. * * * very close to being `=== n * (Number.EPSILON / 2)` * * see e.g. [Algorithms for Accurate, Validated and Fast Polynomial Evaluation](https://hal.archives-ouvertes.fr/hal-00285603/document) * @param n the parameter - typically a small positive integer, e.g. for * polynomial evaluation this `=== 2*d + 1`, where `d` is the degree of the * polynomial * * @doc */ declare function γ(n: number): number; /** * The canonical, once compensated (implying double-double precision), * floating point error function. * * * very close to being `=== n * (Number.EPSILON / 2)**2` * * see e.g. [Algorithms for Accurate, Validated and Fast Polynomial Evaluation](https://hal.archives-ouvertes.fr/hal-00285603/document) * @param n the parameter - typically a small positive integer, e.g. for * polynomial evaluation this === 2*d + 1, where d is the degree of the * polynomial * * @doc */ declare function γγ(n: number): number; /** @internal */ declare function γs(n: number): number; export { γ, γγ, γs, γ1, γγ3, u, uu, eps };