import type { VectorPoint } from 's2json-spec';
/** Constants for orient2d */
export interface Orient2dConstants {
    B: Float64Array;
    C1: Float64Array;
    C2: Float64Array;
    D: Float64Array;
    u: Float64Array;
}
/**
 * Check the orientation of c relative to the line through a and b
 * @param a - first point
 * @param b - second point
 * @param c - comparison point
 * @returns - a positive value if the points a, b, and c occur in counterclockwise order
 * (c lies to the left of the directed line defined by points a and b).
 * - Returns a negative value if they occur in clockwise order (c lies to the right of the directed line ab).
 * - Returns zero if they are collinear.
 */
export declare function orient2dVector(a: VectorPoint, b: VectorPoint, c: VectorPoint): number;
/**
 * Check the orientation of c relative to the line through a and b
 * @param ax - x coordinate of first point
 * @param ay - y coordinate of first point
 * @param bx - x coordinate of second point
 * @param by - y coordinate of second point
 * @param cx - x coordinate of comparison point
 * @param cy - y coordinate of comparison point
 * @returns - a positive value if the points a, b, and c occur in counterclockwise order
 * (c lies to the left of the directed line defined by points a and b).
 * - Returns a negative value if they occur in clockwise order (c lies to the right of the directed line ab).
 * - Returns zero if they are collinear.
 */
export declare function orient2d(ax: number, ay: number, bx: number, by: number, cx: number, cy: number): number;
/**
 * @param a - first point
 * @param b - second point
 * @param c - comparison point
 * @returns - a positive value if the points a, b, and c occur in counterclockwise order
 * (c lies to the left of the directed line defined by points a and b).
 * - Returns a negative value if they occur in clockwise order (c lies to the right of the directed line ab).
 * - Returns zero if they are collinear.
 */
export declare function orient2dfastVector(a: VectorPoint, b: VectorPoint, c: VectorPoint): number;
/**
 * @param ax - x coordinate of first point
 * @param ay - y coordinate of first point
 * @param bx - x coordinate of second point
 * @param by - y coordinate of second point
 * @param cx - x coordinate of comparison point
 * @param cy - y coordinate of comparison point
 * @returns - a positive value if the points a, b, and c occur in counterclockwise order
 * (c lies to the left of the directed line defined by points a and b).
 * - Returns a negative value if they occur in clockwise order (c lies to the right of the directed line ab).
 * - Returns zero if they are collinear.
 */
export declare function orient2dfast(ax: number, ay: number, bx: number, by: number, cx: number, cy: number): number;
//# sourceMappingURL=orient2d.d.ts.map