/**
 * @license
 * Cesium - https://github.com/CesiumGS/cesium
 * Version 1.99
 *
 * Copyright 2011-2022 Cesium Contributors
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
 * Columbus View (Pat. Pend.)
 *
 * Portions licensed separately.
 * See https://github.com/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details.
 */

define(['exports', './Matrix3-ea964448', './Matrix2-f9f1b94b', './Check-40d84a28', './defaultValue-135942ca', './Math-efde0c7b'], (function (exports, Matrix3, Matrix2, Check, defaultValue, Math) { 'use strict';

  /**
   * A plane in Hessian Normal Form defined by
   * <pre>
   * ax + by + cz + d = 0
   * </pre>
   * where (a, b, c) is the plane's <code>normal</code>, d is the signed
   * <code>distance</code> to the plane, and (x, y, z) is any point on
   * the plane.
   *
   * @alias Plane
   * @constructor
   *
   * @param {Cartesian3} normal The plane's normal (normalized).
   * @param {Number} distance The shortest distance from the origin to the plane.  The sign of
   * <code>distance</code> determines which side of the plane the origin
   * is on.  If <code>distance</code> is positive, the origin is in the half-space
   * in the direction of the normal; if negative, the origin is in the half-space
   * opposite to the normal; if zero, the plane passes through the origin.
   *
   * @example
   * // The plane x=0
   * const plane = new Cesium.Plane(Cesium.Cartesian3.UNIT_X, 0.0);
   *
   * @exception {DeveloperError} Normal must be normalized
   */
  function Plane(normal, distance) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("normal", normal);
    if (
      !Math.CesiumMath.equalsEpsilon(
        Matrix3.Cartesian3.magnitude(normal),
        1.0,
        Math.CesiumMath.EPSILON6
      )
    ) {
      throw new Check.DeveloperError("normal must be normalized.");
    }
    Check.Check.typeOf.number("distance", distance);
    //>>includeEnd('debug');

    /**
     * The plane's normal.
     *
     * @type {Cartesian3}
     */
    this.normal = Matrix3.Cartesian3.clone(normal);

    /**
     * The shortest distance from the origin to the plane.  The sign of
     * <code>distance</code> determines which side of the plane the origin
     * is on.  If <code>distance</code> is positive, the origin is in the half-space
     * in the direction of the normal; if negative, the origin is in the half-space
     * opposite to the normal; if zero, the plane passes through the origin.
     *
     * @type {Number}
     */
    this.distance = distance;
  }

  /**
   * Creates a plane from a normal and a point on the plane.
   *
   * @param {Cartesian3} point The point on the plane.
   * @param {Cartesian3} normal The plane's normal (normalized).
   * @param {Plane} [result] The object onto which to store the result.
   * @returns {Plane} A new plane instance or the modified result parameter.
   *
   * @example
   * const point = Cesium.Cartesian3.fromDegrees(-72.0, 40.0);
   * const normal = ellipsoid.geodeticSurfaceNormal(point);
   * const tangentPlane = Cesium.Plane.fromPointNormal(point, normal);
   *
   * @exception {DeveloperError} Normal must be normalized
   */
  Plane.fromPointNormal = function (point, normal, result) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("point", point);
    Check.Check.typeOf.object("normal", normal);
    if (
      !Math.CesiumMath.equalsEpsilon(
        Matrix3.Cartesian3.magnitude(normal),
        1.0,
        Math.CesiumMath.EPSILON6
      )
    ) {
      throw new Check.DeveloperError("normal must be normalized.");
    }
    //>>includeEnd('debug');

    const distance = -Matrix3.Cartesian3.dot(normal, point);

    if (!defaultValue.defined(result)) {
      return new Plane(normal, distance);
    }

    Matrix3.Cartesian3.clone(normal, result.normal);
    result.distance = distance;
    return result;
  };

  const scratchNormal = new Matrix3.Cartesian3();
  /**
   * Creates a plane from the general equation
   *
   * @param {Cartesian4} coefficients The plane's normal (normalized).
   * @param {Plane} [result] The object onto which to store the result.
   * @returns {Plane} A new plane instance or the modified result parameter.
   *
   * @exception {DeveloperError} Normal must be normalized
   */
  Plane.fromCartesian4 = function (coefficients, result) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("coefficients", coefficients);
    //>>includeEnd('debug');

    const normal = Matrix3.Cartesian3.fromCartesian4(coefficients, scratchNormal);
    const distance = coefficients.w;

    //>>includeStart('debug', pragmas.debug);
    if (
      !Math.CesiumMath.equalsEpsilon(
        Matrix3.Cartesian3.magnitude(normal),
        1.0,
        Math.CesiumMath.EPSILON6
      )
    ) {
      throw new Check.DeveloperError("normal must be normalized.");
    }
    //>>includeEnd('debug');

    if (!defaultValue.defined(result)) {
      return new Plane(normal, distance);
    }
    Matrix3.Cartesian3.clone(normal, result.normal);
    result.distance = distance;
    return result;
  };

  /**
   * Computes the signed shortest distance of a point to a plane.
   * The sign of the distance determines which side of the plane the point
   * is on.  If the distance is positive, the point is in the half-space
   * in the direction of the normal; if negative, the point is in the half-space
   * opposite to the normal; if zero, the plane passes through the point.
   *
   * @param {Plane} plane The plane.
   * @param {Cartesian3} point The point.
   * @returns {Number} The signed shortest distance of the point to the plane.
   */
  Plane.getPointDistance = function (plane, point) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("plane", plane);
    Check.Check.typeOf.object("point", point);
    //>>includeEnd('debug');

    return Matrix3.Cartesian3.dot(plane.normal, point) + plane.distance;
  };

  const scratchCartesian = new Matrix3.Cartesian3();
  /**
   * Projects a point onto the plane.
   * @param {Plane} plane The plane to project the point onto
   * @param {Cartesian3} point The point to project onto the plane
   * @param {Cartesian3} [result] The result point.  If undefined, a new Cartesian3 will be created.
   * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
   */
  Plane.projectPointOntoPlane = function (plane, point, result) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("plane", plane);
    Check.Check.typeOf.object("point", point);
    //>>includeEnd('debug');

    if (!defaultValue.defined(result)) {
      result = new Matrix3.Cartesian3();
    }

    // projectedPoint = point - (normal.point + scale) * normal
    const pointDistance = Plane.getPointDistance(plane, point);
    const scaledNormal = Matrix3.Cartesian3.multiplyByScalar(
      plane.normal,
      pointDistance,
      scratchCartesian
    );

    return Matrix3.Cartesian3.subtract(point, scaledNormal, result);
  };

  const scratchInverseTranspose = new Matrix2.Matrix4();
  const scratchPlaneCartesian4 = new Matrix2.Cartesian4();
  const scratchTransformNormal = new Matrix3.Cartesian3();
  /**
   * Transforms the plane by the given transformation matrix.
   *
   * @param {Plane} plane The plane.
   * @param {Matrix4} transform The transformation matrix.
   * @param {Plane} [result] The object into which to store the result.
   * @returns {Plane} The plane transformed by the given transformation matrix.
   */
  Plane.transform = function (plane, transform, result) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("plane", plane);
    Check.Check.typeOf.object("transform", transform);
    //>>includeEnd('debug');

    const normal = plane.normal;
    const distance = plane.distance;
    const inverseTranspose = Matrix2.Matrix4.inverseTranspose(
      transform,
      scratchInverseTranspose
    );
    let planeAsCartesian4 = Matrix2.Cartesian4.fromElements(
      normal.x,
      normal.y,
      normal.z,
      distance,
      scratchPlaneCartesian4
    );
    planeAsCartesian4 = Matrix2.Matrix4.multiplyByVector(
      inverseTranspose,
      planeAsCartesian4,
      planeAsCartesian4
    );

    // Convert the transformed plane to Hessian Normal Form
    const transformedNormal = Matrix3.Cartesian3.fromCartesian4(
      planeAsCartesian4,
      scratchTransformNormal
    );

    planeAsCartesian4 = Matrix2.Cartesian4.divideByScalar(
      planeAsCartesian4,
      Matrix3.Cartesian3.magnitude(transformedNormal),
      planeAsCartesian4
    );

    return Plane.fromCartesian4(planeAsCartesian4, result);
  };

  /**
   * Duplicates a Plane instance.
   *
   * @param {Plane} plane The plane to duplicate.
   * @param {Plane} [result] The object onto which to store the result.
   * @returns {Plane} The modified result parameter or a new Plane instance if one was not provided.
   */
  Plane.clone = function (plane, result) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("plane", plane);
    //>>includeEnd('debug');

    if (!defaultValue.defined(result)) {
      return new Plane(plane.normal, plane.distance);
    }

    Matrix3.Cartesian3.clone(plane.normal, result.normal);
    result.distance = plane.distance;

    return result;
  };

  /**
   * Compares the provided Planes by normal and distance and returns
   * <code>true</code> if they are equal, <code>false</code> otherwise.
   *
   * @param {Plane} left The first plane.
   * @param {Plane} right The second plane.
   * @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
   */
  Plane.equals = function (left, right) {
    //>>includeStart('debug', pragmas.debug);
    Check.Check.typeOf.object("left", left);
    Check.Check.typeOf.object("right", right);
    //>>includeEnd('debug');

    return (
      left.distance === right.distance &&
      Matrix3.Cartesian3.equals(left.normal, right.normal)
    );
  };

  /**
   * A constant initialized to the XY plane passing through the origin, with normal in positive Z.
   *
   * @type {Plane}
   * @constant
   */
  Plane.ORIGIN_XY_PLANE = Object.freeze(new Plane(Matrix3.Cartesian3.UNIT_Z, 0.0));

  /**
   * A constant initialized to the YZ plane passing through the origin, with normal in positive X.
   *
   * @type {Plane}
   * @constant
   */
  Plane.ORIGIN_YZ_PLANE = Object.freeze(new Plane(Matrix3.Cartesian3.UNIT_X, 0.0));

  /**
   * A constant initialized to the ZX plane passing through the origin, with normal in positive Y.
   *
   * @type {Plane}
   * @constant
   */
  Plane.ORIGIN_ZX_PLANE = Object.freeze(new Plane(Matrix3.Cartesian3.UNIT_Y, 0.0));

  exports.Plane = Plane;

}));