/**
 * Filename: `MathOperation.ts`
 * Description: Definitions of mathematical operations on elements of various
 * basic types.
 */
import { type ElementType } from './MultiArray';
/**
 * Generic mathematical object.
 */
type MathObject = ElementType;
/**
 * Unary mathematical operations.
 */
type UnaryMathOperation = (expression: MathObject) => MathObject;
/**
 * Binary mathematical operations.
 */
type BinaryMathOperation = (left: MathObject, right: MathObject) => MathObject;
/**
 * Unary mathematical operations.
 */
type MathOperationType = UnaryMathOperation | BinaryMathOperation;
/**
 * Key of type of `MathOperation`. The keys of `MathOperation` class.
 */
type KeyOfTypeOfMathOperation = keyof typeof MathOperation;
/**
 * # `MathOperation`
 *
 * Mathematical operations on generic elements.
 *
 */
declare abstract class MathOperation {
    /**
     * Creates a copy of `MathObject` object.
     * @param value
     * @returns
     */
    static readonly copy: UnaryMathOperation;
    /**
     * Element-Wise operations.
     * @param op
     * @param left
     * @param right
     * @returns
     */
    private static readonly elementWiseOperation;
    /**
     * Left associative operations.
     * @param op
     * @param right
     * @returns
     */
    private static readonly leftOperation;
    /**
     * Plus operation (`+`).
     * @param left
     * @param right
     * @returns
     */
    static readonly plus: BinaryMathOperation;
    /**
     * Minus operation (`-`).
     * @param left
     * @param right
     * @returns
     */
    static readonly minus: BinaryMathOperation;
    /**
     * Mod operation.
     * @param left
     * @param right
     * @returns
     */
    static readonly mod: BinaryMathOperation;
    /**
     * Rem operation.
     * @param left
     * @param right
     * @returns
     */
    static readonly rem: BinaryMathOperation;
    /**
     * Times operation (`.*`).
     * @param left
     * @param right
     * @returns
     */
    static readonly times: BinaryMathOperation;
    /**
     * Matrix multiplication operator (`*`).
     * @param left
     * @param right
     * @returns
     */
    static readonly mtimes: BinaryMathOperation;
    /**
     * Right division operator (`./`).
     * @param left
     * @param right
     * @returns
     */
    static readonly rdivide: BinaryMathOperation;
    /**
     * Matrix right division operator (`/`).
     * @param left
     * @param right
     * @returns
     */
    static readonly mrdivide: BinaryMathOperation;
    /**
     * Left division operator (`.\`).
     * @param left
     * @param right
     * @returns
     */
    static readonly ldivide: BinaryMathOperation;
    /**
     * Matrix left division operator (`\`).
     * @param left
     * @param right
     * @returns
     */
    static readonly mldivide: BinaryMathOperation;
    /**
     * Power operator (`.^`).
     * @param left
     * @param right
     * @returns
     */
    static readonly power: BinaryMathOperation;
    /**
     * Matrix power operator (`^`).
     * @param left
     * @param right
     * @returns
     */
    static readonly mpower: BinaryMathOperation;
    /**
     *
     * @param right
     * @returns
     */
    static readonly uplus: UnaryMathOperation;
    /**
     *
     * @param right
     * @returns
     */
    static readonly uminus: UnaryMathOperation;
    /**
     *
     * @param left
     * @returns
     */
    static readonly transpose: UnaryMathOperation;
    /**
     *
     * @param left
     * @returns
     */
    static readonly ctranspose: UnaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly lt: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly le: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly eq: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly ge: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly gt: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly ne: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly mand: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly mor: BinaryMathOperation;
    /**
     *
     * @param right
     * @returns
     */
    static readonly not: UnaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly and: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly or: BinaryMathOperation;
    /**
     *
     * @param left
     * @param right
     * @returns
     */
    static readonly xor: BinaryMathOperation;
    /**
     * Unary operations.
     */
    static readonly unaryOperations: {
        [OP in KeyOfTypeOfMathOperation]?: UnaryMathOperation;
    };
    /**
     * Binary operations
     */
    static readonly binaryOperations: {
        [OP in KeyOfTypeOfMathOperation]?: BinaryMathOperation;
    };
    /**
     * Left associative multiple arguments operations.
     */
    static readonly leftAssociativeMultipleOperations: {
        [OP in KeyOfTypeOfMathOperation]?: BinaryMathOperation;
    };
}
export type { MathObject, UnaryMathOperation, BinaryMathOperation, MathOperationType, KeyOfTypeOfMathOperation };
export { MathOperation };
declare const _default: {
    MathOperation: typeof MathOperation;
};
export default _default;