/**
 * @import { FieldElement12, Point2, Point3 } from "../../index.js"
 * @import { FieldElement6 } from "../../internal.js"
 */
/**
 * @param {Point2<bigint>} a
 * @param {Point2<[bigint, bigint]>} b
 * @returns {FieldElement12}
 */
export function millerLoop(a: Point2<bigint>, b: Point2<[bigint, bigint]>): FieldElement12;
/**
 *
 * @param {[bigint, bigint]} a
 * @param {FieldElement6[]} bs
 * @returns {FieldElement12}
 */
export function millerLoopInternal([ax, ay]: [bigint, bigint], bs: FieldElement6[]): FieldElement12;
/**
 * @param {FieldElement12} res
 * @returns {FieldElement12}
 */
export function finalExponentiate(res: FieldElement12): FieldElement12;
/**
 * @param {FieldElement12} a
 * @param {FieldElement12} b
 * @returns {boolean}
 */
export function finalVerify(a: FieldElement12, b: FieldElement12): boolean;
import type { Point2 } from "../../index.js";
import type { FieldElement12 } from "../../index.js";
import type { FieldElement6 } from "../../internal.js";
//# sourceMappingURL=pairing.d.ts.map