/**
 * @author @thkruz Theodore Kruczek
 * @license AGPL-3.0-or-later
 * @copyright (c) 2025 Kruczek Labs LLC
 *
 * Orbital Object ToolKit is free software: you can redistribute it and/or modify it under the
 * terms of the GNU Affero General Public License as published by the Free Software
 * Foundation, either version 3 of the License, or (at your option) any later version.
 *
 * Orbital Object ToolKit is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
 * without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
 * See the GNU Affero General Public License for more details.
 *
 * You should have received a copy of the GNU Affero General Public License along with
 * Orbital Object ToolKit. If not, see <http://www.gnu.org/licenses/>.
 */
import { PositionVelocity, Seconds } from '../main.js';
export declare class ChebyshevCoefficients {
    a: Seconds;
    b: Seconds;
    private readonly cx_;
    private readonly cy_;
    private readonly cz_;
    cxd_: Float64Array;
    cyd_: Float64Array;
    czd_: Float64Array;
    constructor(a: Seconds, b: Seconds, cx_: Float64Array, cy_: Float64Array, cz_: Float64Array);
    /**
     * Calculates the derivative of a polynomial represented by Chebyshev coefficients.
     * @param a - The lower bound of the polynomial's domain.
     * @param b - The upper bound of the polynomial's domain.
     * @param c - The Chebyshev coefficients of the polynomial.
     * @returns The derivative of the polynomial as an array of coefficients.
     */
    private static _derivative;
    get sizeBytes(): number;
    /**
     * Evaluates the Chebyshev polynomial represented by the given coefficients at the specified value.
     * @param c - The coefficients of the Chebyshev polynomial.
     * @param t - The value at which to evaluate the polynomial _(POSIX seconds)_.
     * @returns The result of evaluating the polynomial at the specified value.
     */
    evaluate(c: Float64Array, t: number): number;
    /**
     * Interpolates the position and velocity at a given time (km, km/s).
     * @param t - The time value to interpolate at _(POSIX seconds)_.
     * @returns An object containing the interpolated position and velocity.
     */
    interpolate(t: number): PositionVelocity;
}