/**
 * 2D几何计算工具类
 * 提供通用的2D几何计算功能
 */
import { Vec2d, VecLike } from './Vec2d';
import { LineSegmentLike } from './LineSegment';
import { CircleSegmentLike } from './CircleSegment';
/**
 * 几何计算工具类
 */
export declare class GeometryUtils {
    /**
     * 计算两点之间的距离
     */
    static distance(p1: VecLike, p2: VecLike): number;
    /**
     * 计算点到圆弧的距离
     */
    static pointToCircleDistance(point: VecLike, circleSegment: CircleSegmentLike): number;
    /**
     * 计算点到线段的距离
     */
    static pointToLineDistance(point: VecLike, lineSegment: LineSegmentLike): number;
    /**
     * 获取距离点最近的线段
     * @param point 点
     * @param lineSegments 线段集合
     * @returns 距离点最近的线段
     */
    static getNearestLineSegment(point: VecLike, lineSegments: LineSegmentLike[]): LineSegmentLike | null;
    /**
     * 获取某个点在某条直线上的基于某个轴的投影点
     * @param point 点
     * @param lineSegment 线段(内部需要把线段转换成直线, 然后计算投影点)
     * @param axis 轴
     * @returns 投影点
     */
    static getProjectionPoint(point: VecLike, lineSegment: LineSegmentLike, axis: 'x' | 'y'): Vec2d;
    /**
     * 获取投影点并沿垂直于线段的方向偏移指定距离
     * @param point 点
     * @param lineSegment 线段
     * @param axis 投影轴
     * @param offsetDistance 偏移距离
     * @param tolerance 容差
     * @returns 偏移后的投影点
     */
    static getProjectionPointWithOffset(point: VecLike, lineSegment: LineSegmentLike, axis: 'x' | 'y', offsetDistance: number, tolerance?: number): Vec2d;
    /**
     * 计算点到直线的距离
     */
    static pointToLineThroughPointDistance(point: VecLike, linePoint: VecLike, lineDirection: VecLike): number;
    /**
     * 获取线段上最近的点
     */
    static nearestPointOnLineSegment(lineStart: VecLike, lineEnd: VecLike, point: VecLike, clamp?: boolean): Vec2d;
    /**
     * 计算两条线段的交点
     */
    static lineIntersection(line1Start: VecLike, line1End: VecLike, line2Start: VecLike, line2End: VecLike): Vec2d | null;
    /**
     * 判断点是否在多边形内
     */
    static pointInPolygon(point: VecLike, polygon: VecLike[]): boolean;
    /**
     * 计算多边形的质心
     */
    static polygonCentroid(points: VecLike[]): Vec2d;
    /**
     * 计算包围盒
     */
    static boundingBox(points: VecLike[]): {
        min: Vec2d;
        max: Vec2d;
    };
    /**
     * 判断三点是否顺时针排列
     */
    static isClockwise(A: VecLike, B: VecLike, C: VecLike): boolean;
    /**
     * 计算三点形成的角度
     */
    static angleBetweenPoints(A: VecLike, B: VecLike, C: VecLike): number;
    /**
     * 根据圆心和半径，获取圆上的等份点
     */
    static getCirclePoints(center: VecLike, radius: number, segments?: number): Vec2d[];
    /**
     * 根据圆心和起始点，获取圆弧上的等份点
     */
    static getArcPoints(center: VecLike, startPoint: VecLike, endAngle: number, segments?: number): Vec2d[];
    /**
     * 计算点到点的中点
     */
    static midpoint(p1: VecLike, p2: VecLike): Vec2d;
    /**
     * 计算多个点的平均值
     */
    static average(points: VecLike[]): Vec2d;
    /**
     * 判断两个点是否接近
     */
    static isNear(p1: VecLike, p2: VecLike, tolerance?: number): boolean;
}