/// <reference types="node" />
import BN from "bn.js";
import { BNType } from "../constants";
/**
 * Field of size p
 * This object acts as an immutable and then any modification will instantiate
 * a new object.
 */
export default class GfP {
    private static ELEM_SIZE;
    private v;
    constructor(value: BNType);
    /**
     * Get the BigNumber value
     * @returns the BN object
     */
    getValue(): BN;
    /**
     * Compare the sign of the number
     * @returns -1 for a negative, 1 for a positive and 0 for zero
     */
    signum(): -1 | 0 | 1;
    /**
     * Check if the number is one
     * @returns true for one, false otherwise
     */
    isOne(): boolean;
    /**
     * Check if the number is zero
     * @returns true for zero, false otherwise
     */
    isZero(): boolean;
    /**
     * Add the value of a to the current value
     * @param a the value to add
     * @returns the new value
     */
    add(a: GfP): GfP;
    /**
     * Subtract the value of a to the current value
     * @param a the value to subtract
     * @return the new value
     */
    sub(a: GfP): GfP;
    /**
     * Multiply the current value by a
     * @param a the value to multiply
     * @returns the new value
     */
    mul(a: GfP): GfP;
    /**
     * Get the square of the current value
     * @returns the new value
     */
    sqr(): GfP;
    /**
     * Get the power k of the current value
     * @param k the coefficient
     * @returns the new value
     */
    pow(k: BN): GfP;
    /**
     * Get the unsigned modulo p of the current value
     * @param p the modulus
     * @returns the new value
     */
    mod(p: BN): GfP;
    /**
     * Get the modular inverse of the current value
     * @param p the modulus
     * @returns the new value
     */
    invmod(p: BN): GfP;
    /**
     * Get the negative of the current value
     * @returns the new value
     */
    negate(): GfP;
    /**
     * Left shift by k bits of the current value
     * @param k number of positions to switch
     * @returns the new value
     */
    shiftLeft(k: number): GfP;
    /**
     * Compare the current value with a
     * @param o the value to compare
     * @returns -1 when o is greater, 1 when smaller and 0 when equal
     */
    compareTo(o: any): 0 | -1 | 1;
    /**
     * Check the equality with o
     * @param o the object to compare
     * @returns true when equal, false otherwise
     */
    equals(o: any): o is GfP;
    /**
     * Convert the group field element into a buffer in big-endian
     * and a fixed size.
     * @returns the buffer
     */
    toBytes(): Buffer;
    /**
     * Get the hexadecimal representation of the element
     * @returns the hex string
     */
    toString(): string;
    /**
     * Get the hexadecimal shape of the element without leading zeros
     * @returns the hex shape in a string
     */
    toHex(): string;
}