import { CSpace } from './CSpace';
export declare function k2x(k: number): number;
export declare function k2y(k: number): number;
export declare function xy2k(xx: CSpace | number, yy?: number): number;
export declare function fadeOutK(xy0: CSpace, steps: number, fade?: (r: number) => number): CSpace[];
export declare function fadeInK(xy0: CSpace, steps: number, fade?: (r: number) => number): CSpace[];