// Type definitions for BigNum
// Project: https://github.com/justmoon/node-BigNum
// Definitions by: Pat Smuk <https://github.com/Patman64>
// Definitions: https://github.com/DefinitelyTyped/DefinitelyTyped

/// <reference path="../node/node.d.ts" />

declare class BigNum {
    /** Create a new BigNum from n. */
    constructor(n: number|BigNum);
    
    /** Create a new BigNum from n and a base. */
    constructor(n: string, base?: number);
    
    /**
     * Create a new BigNum from a Buffer.
     * 
     * The default options are: {endian: 'big', size: 1}.
     */
    static fromBuffer(buffer: Buffer, options?: BigNum.BufferOptions): BigNum;
    
    /**
     * Generate a probable prime of length bits.
     * 
     * If safe is true, it will be a "safe" prime of the form p=2p'+1 where p' is also prime.
     */
    static prime(bits: number, safe?: boolean): BigNum;
    
    /** Return true if num is identified as a BigNum instance. Otherwise, return false. */
    static isBigNum(num: any): boolean;
    
    /** Print out the BigNum instance in the requested base as a string. Default: base 10 */
    toString(base?: number): string;
    
    /**
     * Turn a BigNum into a Number.
     * 
     * If the BigNum is too big you'll lose precision or you'll get ±Infinity.
     */
    toNumber(): number;
    
    /**
    * Return a new Buffer with the data from the BigNum.
    * 
    * The default options are: {endian: 'big', size: 1}.
    */
    toBuffer(options?: BigNum.BufferOptions): Buffer;
    
    /** Return a new BigNum containing the instance value plus n. */
    add(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value minus n. */
    sub(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value multiplied by n. */
    mul(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value integrally divided by n. */
    div(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the absolute value of the instance. */
    abs(): BigNum;
    
    /** Return a new BigNum with the negative of the instance value. */
    neg(): BigNum;
    
    /**
     * Compare the instance value to n.
     * 
     * Return a positive integer if > n, a negative integer if < n, and 0 if == n.
     */
    cmp(n: BigNum.BigNumCompatible): number;
    
    /** Return a boolean: whether the instance value is greater than n (> n). */
    gt(n: BigNum.BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is greater than or equal to n (>= n). */
    ge(n: BigNum.BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is equal to n (== n). */
    eq(n: BigNum.BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is less than n (< n). */
    lt(n: BigNum.BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is less than or equal to n (<= n). */
    le(n: BigNum.BigNumCompatible): boolean;
    
    /** Return a new BigNum with the instance value bitwise AND (&)-ed with n. */
    and(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value bitwise inclusive-OR (|)-ed with n. */
    or(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value bitwise exclusive-OR (^)-ed with n. */
    xor(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value modulo n. */
    mod(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value raised to the nth power. */
    pow(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value raised to the nth power modulo m. */
    powm(n: BigNum.BigNumCompatible, m: BigNum.BigNumCompatible): BigNum;
    
    /** Compute the multiplicative inverse modulo m. */
    invertm(m: BigNum.BigNumCompatible): BigNum;
    
    /**
     * If upperBound is supplied, return a random BigNum between the instance value and upperBound - 1, inclusive.
     * Otherwise, return a random BigNum between 0 and the instance value - 1, inclusive.
     */
    rand(upperBound?: BigNum.BigNumCompatible): BigNum;
    
    /** 
     * Return whether the BigNum is:
     *  - certainly prime (true)
     *  - probably prime ('maybe')
     *  - certainly composite (false)
     */
    probPrime(): boolean | string;
    
    /** Return a new BigNum that is the 2^n multiple. Equivalent of the << operator. */
    shiftLeft(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return a new BigNum of the value integer divided by 2^n. Equivalent of the >> operator. */
    shiftRight(n: BigNum.BigNumCompatible): BigNum;
    
    /** Return the greatest common divisor of the current BigNum with n as a new BigNum. */
    gcd(n: BigNum): BigNum;
    
    /**
     * Return the Jacobi symbol (or Legendre symbol if n is prime) of the current BigNum (= a) over n.
     * Note that n must be odd and >= 3. 0 <= a < n.
     * 
     * Returns -1 or 1 as an int (NOT a BigNum). Throws an error on failure.
     */
    jacobi(n: BigNum): number;
    
    /** Return the number of bits used to represent the current BigNum. */
    bitLength(): number;
}

declare namespace BigNum {
    /** Anything that can be converted to BigNum. */
    type BigNumCompatible = BigNum | number | string;
    
    export interface BufferOptions {
        /** Can be either 'big' or 'little'. Also accepts 1 for big and -1 for little. Doesn't matter when size = 1. */
        endian: string | number;
        
        /** Number of bytes per word, or 'auto' to flip entire Buffer. */
        size: number | string;
    }
    
    /**
     * Turn a BigNum into a Number.
     * 
     * If the BigNum is too big you'll lose precision or you'll get ±Infinity.
     */
    export function toNumber(n: BigNumCompatible): number;
    
    /**
     * Return a new Buffer with the data from the BigNum.
     * 
     * The default options are: {endian: 'big', size: 1}.
     */
    export function toBuffer(n: BigNumCompatible, options?: BufferOptions): Buffer;
    
    /** Return a new BigNum containing the instance value plus n. */
    export function add(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value minus n. */
    export function sub(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value multiplied by n. */
    export function mul(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum containing the instance value integrally divided by n. */
    export function div(dividend: BigNumCompatible, divisor: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the absolute value of the instance. */
    export function abs(n: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the negative of the instance value. */
    export function neg(n: BigNumCompatible): BigNum;
    
    /**
     * Compare the instance value to n.
     * 
     * Return a positive integer if > n, a negative integer if < n, and 0 if == n.
     */
    export function cmp(left: BigNumCompatible, right: BigNumCompatible): number;
    
    /** Return a boolean: whether the instance value is greater than n (> n). */
    export function gt(left: BigNumCompatible, right: BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is greater than or equal to n (>= n). */
    export function ge(left: BigNumCompatible, right: BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is equal to n (== n). */
    export function eq(left: BigNumCompatible, right: BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is less than n (< n). */
    export function lt(left: BigNumCompatible, right: BigNumCompatible): boolean;
    
    /** Return a boolean: whether the instance value is less than or equal to n (<= n). */
    export function le(left: BigNumCompatible, right: BigNumCompatible): boolean;
    
    /** Return a new BigNum with the instance value bitwise AND (&)-ed with n. */
    export function and(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value bitwise inclusive-OR (|)-ed with n. */
    export function or(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value bitwise exclusive-OR (^)-ed with n. */
    export function xor(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value modulo n. */
    export function mod(left: BigNumCompatible, right: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value raised to the nth power. */
    export function pow(base: BigNumCompatible, exponent: BigNumCompatible): BigNum;
    
    /** Return a new BigNum with the instance value raised to the nth power modulo m. */
    export function powm(base: BigNumCompatible, exponent: BigNumCompatible, m: BigNumCompatible): BigNum;
    
    /** Compute the multiplicative inverse modulo m. */
    export function invertm(n: BigNumCompatible, m: BigNumCompatible): BigNum;
    
    /**
     * If upperBound is supplied, return a random BigNum between the instance value and upperBound - 1, inclusive.
     * Otherwise, return a random BigNum between 0 and the instance value - 1, inclusive.
     */
    export function rand(n: BigNumCompatible, upperBound?: BigNumCompatible): BigNum;
    
    /** 
     * Return whether the BigNum is:
     *  - certainly prime (true)
     *  - probably prime ('maybe')
     *  - certainly composite (false)
     */
    export function probPrime(n: BigNumCompatible): boolean | string;
    
    /** Return a new BigNum that is the 2^bits multiple. Equivalent of the << operator. */
    export function shiftLeft(n: BigNumCompatible, bits: BigNumCompatible): BigNum;
    
    /** Return a new BigNum of the value integer divided by 2^bits. Equivalent of the >> operator. */
    export function shiftRight(n: BigNumCompatible, bits: BigNumCompatible): BigNum;
    
    /** Return the greatest common divisor of the current BigNum with n as a new BigNum. */
    export function gcd(left: BigNumCompatible, right: BigNum): BigNum;
    
    /**
     * Return the Jacobi symbol (or Legendre symbol if n is prime) of the current BigNum (= a) over n.
     * Note that n must be odd and >= 3. 0 <= a < n.
     * 
     * Returns -1 or 1 as an int (NOT a BigNum). Throws an error on failure.
     */
    export function jacobi(a: BigNumCompatible, n: BigNum): number;
    
    /** Return the number of bits used to represent the current BigNum. */
    export function bitLength(n: BigNumCompatible): number;
}

declare module "bignum" {
    export = BigNum;
}