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/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import { IField } from './modular.js';
export type AffinePoint<T> = {
x: T;
y: T;
} & {
z?: never;
t?: never;
};
export interface Group<T extends Group<T>> {
double(): T;
negate(): T;
add(other: T): T;
subtract(other: T): T;
equals(other: T): boolean;
multiply(scalar: bigint): T;
}
export type GroupConstructor<T> = {
BASE: T;
ZERO: T;
};
export type Mapper<T> = (i: T[]) => T[];
export declare function wNAF<T extends Group<T>>(c: GroupConstructor<T>, bits: number): {
constTimeNegate: (condition: boolean, item: T) => T;
unsafeLadder(elm: T, n: bigint): T;
/**
* Creates a wNAF precomputation window. Used for caching.
* Default window size is set by `utils.precompute()` and is equal to 8.
* Number of precomputed points depends on the curve size:
* 2^(𝑊1) * (Math.ceil(𝑛 / 𝑊) + 1), where:
* - 𝑊 is the window size
* - 𝑛 is the bitlength of the curve order.
* For a 256-bit curve and window size 8, the number of precomputed points is 128 * 33 = 4224.
* @returns precomputed point tables flattened to a single array
*/
precomputeWindow(elm: T, W: number): Group<T>[];
/**
* Implements ec multiplication using precomputed tables and w-ary non-adjacent form.
* @param W window size
* @param precomputes precomputed tables
* @param n scalar (we don't check here, but should be less than curve order)
* @returns real and fake (for const-time) points
*/
wNAF(W: number, precomputes: T[], n: bigint): {
p: T;
f: T;
};
wNAFCached(P: T, precomputesMap: Map<T, T[]>, n: bigint, transform: Mapper<T>): {
p: T;
f: T;
};
};
export type BasicCurve<T> = {
Fp: IField<T>;
n: bigint;
nBitLength?: number;
nByteLength?: number;
h: bigint;
hEff?: bigint;
Gx: T;
Gy: T;
allowInfinityPoint?: boolean;
};
export declare function validateBasic<FP, T>(curve: BasicCurve<FP> & T): Readonly<{
readonly nBitLength: number;
readonly nByteLength: number;
} & BasicCurve<FP> & T & {
p: bigint;
}>;
//# sourceMappingURL=curve.d.ts.map