/**
 * A collection of geomtry-related utility functions
 */
import { type Coord } from "@khanacademy/perseus-core";
type Line = [Coord, Coord];
export type Range = [number, number];
export type SineCoefficient = [
    number,
    number,
    number,
    number
];
export declare function sign(val: number): 0 | 1 | -1;
export declare function ccw(a: Coord, b: Coord, c: Coord): number;
export declare function collinear(a: Coord, b: Coord, c: Coord): boolean;
export declare function intersects(ab: Line, cd: Line): boolean;
export declare function polygonSidesIntersect(vertices: Coord[]): boolean;
export declare function vector(a: ReadonlyArray<number>, b: ReadonlyArray<number>): number[];
export declare function reverseVector(vector: Coord): Coord;
export declare function clockwise(points: Coord[]): boolean;
export declare function magnitude(v: ReadonlyArray<number>): number;
export declare function angleMeasures(coords: ReadonlyArray<Coord>): ReadonlyArray<number>;
export declare function similar(coords1: ReadonlyArray<Coord>, coords2: ReadonlyArray<Coord>, tolerance: number): boolean;
export declare function lawOfCosines(a: number, b: number, c: number): number;
export declare function canonicalSineCoefficients([amplitude, angularFrequency, phase, verticalOffset,]: [any, any, any, any]): any[];
export type TangentCoefficient = [
    number,
    number,
    number,
    number
];
export declare function canonicalTangentCoefficients([amplitude, angularFrequency, phase, verticalOffset,]: TangentCoefficient): TangentCoefficient;
export declare function rotate<T>(array: ReadonlyArray<T>, n?: number): ReadonlyArray<T>;
export declare function getLineEquation(first: Coord, second: Coord): string;
export declare function getLineIntersection(firstPoints: readonly [Coord, Coord], secondPoints: readonly [Coord, Coord]): [number, number] | null;
export declare function getLineIntersectionString(firstPoints: readonly [Coord, Coord], secondPoints: readonly [Coord, Coord]): string;
export {};