/**
 * Abstract class containing various mathematical utility functions.
 *
 * @format
 */
export declare abstract class MathUtils {
    /**
     * Returns the fractional part of a number.
     * @param {number} x - The input number.
     * @returns {number} The fractional part of the input number.
     */
    static fract(x: number): number;
    /**
     * Performs smooth interpolation between two edges.
     * @param {number} edge0 - The lower edge.
     * @param {number} edge1 - The upper edge.
     * @param {number} x - The input value.
     * @returns {number} The interpolated value.
     */
    static smoothStep(edge0: number, edge1: number, x: number): number;
    /**
     * Linearly interpolates between two values.
     * @param {number} x - The first value.
     * @param {number} y - The second value.
     * @param {number} a - The interpolation factor.
     * @returns {number} The interpolated value.
     */
    static mix(x: number, y: number, a: number): number;
    /**
     * Returns the sign of a number.
     * @param {number} x - The input number.
     * @returns {number} -1 if the number is negative, 1 if positive, 0 if zero.
     */
    static sign(x: number): number;
    /**
     * Returns 0 if the input is less than the edge, otherwise returns 1.
     * @param {number} edge - The edge value.
     * @param {number} x - The input value.
     * @returns {number} 0 or 1 based on the comparison.
     */
    static step(edge: number, x: number): number;
    /**
     * Calculates the Euclidean length of a 3D vector.
     * @param {number} x - The x component.
     * @param {number} y - The y component.
     * @param {number} z - The z component.
     * @returns {number} The length of the vector.
     */
    static length3(x: number, y: number, z: number): number;
    /**
     * Returns the greatest common divisor of **x** and **y**.
     * @param {number} x - The first number.
     * @param {number} y - The second number.
     * @returns {number} The greatest common divisor.
     */
    static gcd(x: number, y: number): number;
    /**
     * Clamp **num** to [**low**, **high**]
     * @param {number} num - The number to clamp.
     * @param {number} low - The lower bound.
     * @param {number} high - The upper bound.
     * @returns {number} The clamped value.
     */
    static clamp(num: number, low: number, high: number): number;
    /**
     * Clamp **num** to [**low**, **high**] and truncate
     * @param {number} num - The number to clamp.
     * @param {number} low - The lower bound.
     * @param {number} high - The upper bound.
     * @returns {number} The clamped and truncated value.
     */
    static clampInt(num: number, low: number, high: number): number;
    /**
     * Clamp **num** to [0, 255] and truncate
     * @param {number} num - The number to clamp.
     * @returns {number} The clamped and truncated value.
     */
    static clampInt255(num: number): number;
}