import { TwoF64, f64 } from "./common.js";
//#region src/base/algorithms.d.ts
/**
 * Extended-precision addition `x + y`.
 *
 * Relative error bound: `2u²` (`u²` for positive operands), with `u = 2^-53`
 *
 * FP ops: 10
 *
 * @param x A `TwoF64` number
 * @param y A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x + y`
 */
export declare function DWPlusFP(x: TwoF64, y: f64): TwoF64;
/**
 * Extended-precision addition `x + y`.
 *
 * Relative error bound: `3u² + 13u³` with `u = 2^-53`
 *
 * FP ops: 20
 *
 * @param x A `TwoF64` number
 * @param y A `TwoF64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x + y`
 */
export declare function AccurateDWPlusDW(x: TwoF64, y: TwoF64): TwoF64;
/**
 * Extended-precision multiplication `x * y`.
 *
 * Relative error bound: `1.5u² + 4u³` with `u = 2^-53`
 *
 * FP ops: 25
 *
 * @param x A `TwoF64` number
 * @param y A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x * y`
 */
export declare function DWTimesFP1(x: TwoF64, y: f64): TwoF64;
/**
 * Extended-precision multiplication `x * y`.
 *
 * Relative error bound: `5u²` with `u = 2^-53`
 *
 * FP ops: 24
 *
 * @param x A `TwoF64` number
 * @param y A `TwoF64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x * y`
 */
export declare function DWTimesDW1(x: TwoF64, y: TwoF64): TwoF64;
/**
 * Extended-precision division `x/y`.
 *
 * Relative error bound: `3u²` with `u = 2^-53`
 *
 * FP ops: 25
 *
 * @param x A `TwoF64` number
 * @param y A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x/y`
 */
export declare function DWDivFP3(x: TwoF64, y: f64): TwoF64;
/**
 * Extended-precision division `x/y`.
 *
 * Relative error bound: `15u² + 56u³` with `u = 2^-53`
 *
 * FP ops: 33
 *
 * @param x A `TwoF64` number
 * @param y A `TwoF64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x/y`
 */
export declare function DWDivDW2(x: TwoF64, y: TwoF64): TwoF64;
/**
 * Extended-precision subtraction `x - y`.
 *
 * Relative error bound: `2u²` with `u = 2^-53`
 *
 * FP ops: 10
 *
 * @param x A `TwoF64` number
 * @param y A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x - y`
 */
export declare function DWMinusFP(x: TwoF64, y: f64): TwoF64;
/**
 * Extended-precision subtraction `x - y`.
 *
 * Relative error bound: `3u² + 13u³` with `u = 2^-53`
 *
 * FP ops: 17
 *
 * @param x A `TwoF64` number
 * @param y A `TwoF64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x - y`
 */
export declare function AccurateDWMinusDW(x: TwoF64, y: TwoF64): TwoF64;
/**
 * Extended-precision division `x/y`.
 *
 * Relative error bound: `3u²` with `u = 2^-53`
 *
 * FP ops: 24
 *
 * @param x A `f64` number
 * @param y A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `x/y`
 */
export declare function twoDiv(x: f64, y: f64): TwoF64;
/**
 * Extended-precision multiplicative inverse of `x`, `1/x`.
 *
 * Relative error bound: `3u²` with `u = 2^-53`
 *
 * FP ops: 24
 *
 * @param x A `f64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `1/x`
 */
export declare function twoInv(x: f64): TwoF64;
/**
 * Extended-precision multiplicative inverse of `x`, `1/x`.
 *
 * Relative error bound: `15u² + 56u³` with `u = 2^-53`
 *
 * FP ops: 32
 *
 * @param x A `TwoF64` number
 * @returns The {@link TwoF64|`TwoF64`} representation of `1/x`
 */
export declare function DWInv(x: TwoF64): TwoF64;
//#endregion