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							- import { AffinePoint, Group } from './abstract/curve.js';
 
- import { ExtPointType } from './abstract/edwards.js';
 
- import { htfBasicOpts } from './abstract/hash-to-curve.js';
 
- import { Hex } from './abstract/utils.js';
 
- export declare const ed448: import("./abstract/edwards.js").CurveFn;
 
- export declare const ed448ph: import("./abstract/edwards.js").CurveFn;
 
- export declare const x448: import("./abstract/montgomery.js").CurveFn;
 
- /**
 
-  * Converts edwards448 public key to x448 public key. Uses formula:
 
-  * * `(u, v) = ((y-1)/(y+1), sqrt(156324)*u/x)`
 
-  * * `(x, y) = (sqrt(156324)*u/v, (1+u)/(1-u))`
 
-  * @example
 
-  *   const aPub = ed448.getPublicKey(utils.randomPrivateKey());
 
-  *   x448.getSharedSecret(edwardsToMontgomery(aPub), edwardsToMontgomery(someonesPub))
 
-  */
 
- export declare function edwardsToMontgomeryPub(edwardsPub: string | Uint8Array): Uint8Array;
 
- export declare const edwardsToMontgomery: typeof edwardsToMontgomeryPub;
 
- export declare const hashToCurve: (msg: Uint8Array, options?: htfBasicOpts) => import("./abstract/hash-to-curve.js").H2CPoint<bigint>;
 
- export declare const encodeToCurve: (msg: Uint8Array, options?: htfBasicOpts) => import("./abstract/hash-to-curve.js").H2CPoint<bigint>;
 
- type ExtendedPoint = ExtPointType;
 
- /**
 
-  * Each ed448/ExtendedPoint has 4 different equivalent points. This can be
 
-  * a source of bugs for protocols like ring signatures. Decaf was created to solve this.
 
-  * Decaf point operates in X:Y:Z:T extended coordinates like ExtendedPoint,
 
-  * but it should work in its own namespace: do not combine those two.
 
-  * https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448
 
-  */
 
- declare class DcfPoint implements Group<DcfPoint> {
 
-     private readonly ep;
 
-     static BASE: DcfPoint;
 
-     static ZERO: DcfPoint;
 
-     constructor(ep: ExtendedPoint);
 
-     static fromAffine(ap: AffinePoint<bigint>): DcfPoint;
 
-     /**
 
-      * Takes uniform output of 112-byte hash function like shake256 and converts it to `DecafPoint`.
 
-      * The hash-to-group operation applies Elligator twice and adds the results.
 
-      * **Note:** this is one-way map, there is no conversion from point to hash.
 
-      * https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448-07#name-element-derivation-2
 
-      * @param hex 112-byte output of a hash function
 
-      */
 
-     static hashToCurve(hex: Hex): DcfPoint;
 
-     /**
 
-      * Converts decaf-encoded string to decaf point.
 
-      * https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448-07#name-decode-2
 
-      * @param hex Decaf-encoded 56 bytes. Not every 56-byte string is valid decaf encoding
 
-      */
 
-     static fromHex(hex: Hex): DcfPoint;
 
-     /**
 
-      * Encodes decaf point to Uint8Array.
 
-      * https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-ristretto255-decaf448-07#name-encode-2
 
-      */
 
-     toRawBytes(): Uint8Array;
 
-     toHex(): string;
 
-     toString(): string;
 
-     equals(other: DcfPoint): boolean;
 
-     add(other: DcfPoint): DcfPoint;
 
-     subtract(other: DcfPoint): DcfPoint;
 
-     multiply(scalar: bigint): DcfPoint;
 
-     multiplyUnsafe(scalar: bigint): DcfPoint;
 
-     double(): DcfPoint;
 
-     negate(): DcfPoint;
 
- }
 
- export declare const DecafPoint: typeof DcfPoint;
 
- export declare const hashToDecaf448: (msg: Uint8Array, options: htfBasicOpts) => DcfPoint;
 
- export declare const hash_to_decaf448: (msg: Uint8Array, options: htfBasicOpts) => DcfPoint;
 
- export {};
 
- //# sourceMappingURL=ed448.d.ts.map
 
 
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