/** Constants for insphere */
export interface InSphereConstants {
    ab: Float64Array;
    bc: Float64Array;
    cd: Float64Array;
    de: Float64Array;
    ea: Float64Array;
    ac: Float64Array;
    bd: Float64Array;
    ce: Float64Array;
    da: Float64Array;
    eb: Float64Array;
    abc: Float64Array;
    bcd: Float64Array;
    cde: Float64Array;
    dea: Float64Array;
    eab: Float64Array;
    abd: Float64Array;
    bce: Float64Array;
    cda: Float64Array;
    deb: Float64Array;
    eac: Float64Array;
    adet: Float64Array;
    bdet: Float64Array;
    cdet: Float64Array;
    ddet: Float64Array;
    edet: Float64Array;
    abdet: Float64Array;
    cddet: Float64Array;
    cdedet: Float64Array;
    deter: Float64Array;
    _8: Float64Array;
    _8b: Float64Array;
    _8c: Float64Array;
    _16: Float64Array;
    _24: Float64Array;
    _48: Float64Array;
    _48b: Float64Array;
    _96: Float64Array;
    _192: Float64Array;
    _384x: Float64Array;
    _384y: Float64Array;
    _384z: Float64Array;
    _768: Float64Array;
    xdet: Float64Array;
    ydet: Float64Array;
    zdet: Float64Array;
    fin: Float64Array;
}
/**
 * Get the orientation of a tetrahedron querying against a sphere
 * @param ax - x coordinate of first point
 * @param ay - y coordinate of first point
 * @param az - z coordinate of first point
 * @param bx - x coordinate of second point
 * @param by - y coordinate of second point
 * @param bz - z coordinate of second point
 * @param cx - x coordinate of origin point to create the abcd plane
 * @param cy - y coordinate of origin point to create the abcd plane
 * @param cz - z coordinate of origin point to create the abcd plane
 * @param dx - x coordinate of second origin point to create the abcd plane
 * @param dy - y coordinate of second origin point to create the abcd plane
 * @param dz - z coordinate of second origin point to create the abcd plane
 * @param ex - x coordinate of compare point
 * @param ey - y coordinate of compare point
 * @param ez - z coordinate of compare point
 * @returns - a positive value if the point-plane of a-b-c-d via e occur in counterclockwise order
 * (d lies to the left of the directed line defined by points a and b).
 * - Returns a negative value if they occur in clockwise order (d lies to the right of the directed line ab).
 * - Returns zero if they are collinear.
 */
export declare function insphere(ax: number, ay: number, az: number, bx: number, by: number, bz: number, cx: number, cy: number, cz: number, dx: number, dy: number, dz: number, ex: number, ey: number, ez: number): number;
/**
 * Get the orientation of a tetrahedron using a fast method that uses the volume of the tetrahedron
 * @param pax - x coordinate of first point
 * @param pay - y coordinate of first point
 * @param paz - z coordinate of first point
 * @param pbx - x coordinate of second point
 * @param pby - y coordinate of second point
 * @param pbz - z coordinate of second point
 * @param pcx - x coordinate of origin point to create the abcd plane
 * @param pcy - y coordinate of origin point to create the abcd plane
 * @param pcz - z coordinate of origin point to create the abcd plane
 * @param pdx - x coordinate of second origin point to create the abcd plane
 * @param pdy - y coordinate of second origin point to create the abcd plane
 * @param pdz - z coordinate of second origin point to create the abcd plane
 * @param pex - x coordinate of compare point
 * @param pey - y coordinate of compare point
 * @param pez - z coordinate of compare point
 * @returns - a positive value if the point-plane of a-b-c via d 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 inspherefast(pax: number, pay: number, paz: number, pbx: number, pby: number, pbz: number, pcx: number, pcy: number, pcz: number, pdx: number, pdy: number, pdz: number, pex: number, pey: number, pez: number): number;
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