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/*! noble-ristretto255 - MIT License (c) Paul Miller (paulmillr.com) */export declare class FieldElement {    static readonly P: bigint;    static readonly D: FieldElement;    static readonly D2: FieldElement;    static readonly SQRT_M1: FieldElement;    static readonly INVSQRT_A_MINUS_D: FieldElement;    static readonly SQRT_AD_MINUS_ONE: FieldElement;    static readonly PRIME_ORDER: bigint;    private static load8;    static fromBytes(bytes: Uint8Array): FieldElement;    static one(): FieldElement;    static zero(): FieldElement;    static mod(a: bigint, b: bigint): bigint;    readonly value: bigint;    constructor(value: bigint);    toBytesBE(length?: number): Uint8Array;    toBytesLE(length?: number): Uint8Array;    equals(other: FieldElement): boolean;    isNegative(): boolean;    isZero(): boolean;    add(other: FieldElement): FieldElement;    subtract(other: FieldElement): FieldElement;    div(other: FieldElement): FieldElement;    multiply(other: FieldElement): FieldElement;    pow(power: bigint): FieldElement;    pow2k(power: bigint): FieldElement;    invert(): FieldElement;    negative(): FieldElement;    square(): FieldElement;    private pow22501;    private powP58;    select(other: FieldElement, choice: 0n | 1n | 0 | 1 | boolean): FieldElement;    condNegative(choice: 0n | 1n | 0 | 1 | boolean): FieldElement;    condSwap(other: FieldElement, choice: 0n | 1n | 0 | 1 | boolean): FieldElement[];    sqrtRatio(v: FieldElement): {        isNotZeroSquare: boolean;        value: FieldElement;    };    invertSqrt(): {        isNotZeroSquare: boolean;        value: FieldElement;    };}export declare const P: bigint;export declare const PRIME_ORDER: bigint;export declare class ProjectiveP1xP1 {    x: FieldElement;    y: FieldElement;    z: FieldElement;    T: FieldElement;    static zero(): ProjectiveP1xP1;    constructor(x: FieldElement, y: FieldElement, z: FieldElement, T: FieldElement);}export declare class ProjectiveP2 {    x: FieldElement;    y: FieldElement;    z: FieldElement;    static fromP1xP1(point: ProjectiveP1xP1): ProjectiveP2;    static fromP3(point: ProjectiveP3): ProjectiveP2;    static zero(): ProjectiveP2;    constructor(x: FieldElement, y: FieldElement, z: FieldElement);    double(): ProjectiveP1xP1;}export declare class ProjectiveP3 {    x: FieldElement;    y: FieldElement;    z: FieldElement;    T: FieldElement;    static fromP1xP1(point: ProjectiveP1xP1): ProjectiveP3;    static fromP2(point: ProjectiveP2): ProjectiveP3;    static one(): ProjectiveP3;    constructor(x: FieldElement, y: FieldElement, z: FieldElement, T: FieldElement);    toProjectiveNielsPoint(): ProjectiveP3;    toExtendedProjective(): ProjectiveP3;    toExtendedCompleted(): ProjectiveP3;    addCached(other: ProjectiveCached): ProjectiveP1xP1;    subtractCached(other: ProjectiveCached): ProjectiveP1xP1;    addAffine(other: AffineCached): ProjectiveP1xP1;    subtractAffine(other: AffineCached): ProjectiveP1xP1;    add(other: ProjectiveP3): ProjectiveP3;    subtract(other: ProjectiveP3): ProjectiveP3;    double(): ProjectiveP3;    negative(): ProjectiveP3;    multiply(n: bigint): ProjectiveP3;    equals(other: ProjectiveP3): boolean;}export declare class ProjectiveCached {    yPlusX: FieldElement;    yMinusX: FieldElement;    z: FieldElement;    T2d: FieldElement;    static one(): ProjectiveCached;    static fromP3(point: ProjectiveP3): ProjectiveCached;    constructor(yPlusX: FieldElement, yMinusX: FieldElement, z: FieldElement, T2d: FieldElement);    select(other: ProjectiveCached, cond: 0 | 1 | 0n | 1n | boolean): ProjectiveCached;    condNegative(cond: 0 | 1 | 0n | 1n | boolean): ProjectiveCached;}export declare class AffineCached {    yPlusX: FieldElement;    yMinusX: FieldElement;    T2d: FieldElement;    static fromP3(point: ProjectiveP3): AffineCached;    static one(): AffineCached;    constructor(yPlusX: FieldElement, yMinusX: FieldElement, T2d: FieldElement);    select(other: AffineCached, cond: 0 | 1 | 0n | 1n | boolean): AffineCached;    condNegative(cond: 0 | 1 | 0n | 1n | boolean): AffineCached;}export declare let sha512: (a: Uint8Array) => Promise<Uint8Array>;export declare function fromBytesLE(bytes: Uint8Array): bigint;export declare function hexToBytes(hash: string): Uint8Array;export declare function toBigInt(num: string | Uint8Array | bigint | number): bigint;export declare function isBytesEquals(b1: Uint8Array, b2: Uint8Array): boolean;export declare function numberToBytes(num: bigint): Uint8Array;export declare function concatTypedArrays(...args: Uint8Array[]): Uint8Array;export declare class RistrettoPoint {    private point;    static one(): RistrettoPoint;    static fromHash(hash: Uint8Array): RistrettoPoint;    private static elligatorRistrettoFlavor;    static fromBytes(bytes: Uint8Array): RistrettoPoint;    constructor(point: ProjectiveP3);    toBytes(): Uint8Array;    add(other: RistrettoPoint): RistrettoPoint;    subtract(other: RistrettoPoint): RistrettoPoint;    multiply(n: bigint): RistrettoPoint;    equals(other: RistrettoPoint): boolean;}export declare const BASE_POINT: RistrettoPoint;