# all files / src/math/ Plane.js

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22.22% Branches 4/18
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     import Vector3 from './Vector3';
    import glMatrix from '../dep/glmatrix';
    var vec3 = glMatrix.vec3;
    var mat4 = glMatrix.mat4;
    var vec4 = glMatrix.vec4;

    /**
     * @constructor
     * @alias clay.Plane
     * @param {clay.Vector3} [normal]
     * @param {number} [distance]
     */
    var Plane = function(normal, distance) {
        /**
         * Normal of the plane
         * @type {clay.Vector3}
         */
        this.normal = normal || new Vector3(0, 1, 0);

        /**
         * Constant of the plane equation, used as distance to the origin
         * @type {number}
         */
        this.distance = distance || 0;
    };

    Plane.prototype = {

        constructor: Plane,

        /**
         * Distance from a given point to the plane
         * @param  {clay.Vector3} point
         * @return {number}
         */
        distanceToPoint: function(point) {
            return vec3.dot(point.array, this.normal.array) - this.distance;
        },

        /**
         * Calculate the projection point on the plane
         * @param  {clay.Vector3} point
         * @param  {clay.Vector3} out
         * @return {clay.Vector3}
         */
        projectPoint: function(point, out) {
            if (!out) {
                out = new Vector3();
            }
            var d = this.distanceToPoint(point);
            vec3.scaleAndAdd(out.array, point.array, this.normal.array, -d);
            out._dirty = true;
            return out;
        },

        /**
         * Normalize the plane's normal and calculate the distance
         */
        normalize: function() {
            var invLen = 1 / vec3.len(this.normal.array);
            vec3.scale(this.normal.array, invLen);
            this.distance *= invLen;
        },

        /**
         * If the plane intersect a frustum
         * @param  {clay.Frustum} Frustum
         * @return {boolean}
         */
        intersectFrustum: function(frustum) {
            // Check if all coords of frustum is on plane all under plane
            var coords = frustum.vertices;
            var normal = this.normal.array;
            var onPlane = vec3.dot(coords[0].array, normal) > this.distance;
            for (var i = 1; i < 8; i++) {
                if ((vec3.dot(coords[i].array, normal) > this.distance) != onPlane) {
                    return true;
                }
            }
        },

        /**
         * Calculate the intersection point between plane and a given line
         * @function
         * @param {clay.Vector3} start start point of line
         * @param {clay.Vector3} end end point of line
         * @param {clay.Vector3} [out]
         * @return {clay.Vector3}
         */
        intersectLine: (function() {
            var rd = vec3.create();
            return function(start, end, out) {
                var d0 = this.distanceToPoint(start);
                var d1 = this.distanceToPoint(end);
                if ((d0 > 0 && d1 > 0) || (d0 < 0 && d1 < 0)) {
                    return null;
                }
                // Ray intersection
                var pn = this.normal.array;
                var d = this.distance;
                var ro = start.array;
                // direction
                vec3.sub(rd, end.array, start.array);
                vec3.normalize(rd, rd);

                var divider = vec3.dot(pn, rd);
                // ray is parallel to the plane
                if (divider === 0) {
                    return null;
                }
                if (!out) {
                    out = new Vector3();
                }
                var t = (vec3.dot(pn, ro) - d) / divider;
                vec3.scaleAndAdd(out.array, ro, rd, -t);
                out._dirty = true;
                return out;
            };
        })(),

        /**
         * Apply an affine transform matrix to plane
         * @function
         * @return {clay.Matrix4}
         */
        applyTransform: (function() {
            var inverseTranspose = mat4.create();
            var normalv4 = vec4.create();
            var pointv4 = vec4.create();
            pointv4[3] = 1;
            return function(m4) {
                m4 = m4.array;
                // Transform point on plane
                vec3.scale(pointv4, this.normal.array, this.distance);
                vec4.transformMat4(pointv4, pointv4, m4);
                this.distance = vec3.dot(pointv4, this.normal.array);
                // Transform plane normal
                mat4.invert(inverseTranspose, m4);
                mat4.transpose(inverseTranspose, inverseTranspose);
                normalv4[3] = 0;
                vec3.copy(normalv4, this.normal.array);
                vec4.transformMat4(normalv4, normalv4, inverseTranspose);
                vec3.copy(this.normal.array, normalv4);
            };
        })(),

        /**
         * Copy from another plane
         * @param  {clay.Vector3} plane
         */
        copy: function(plane) {
            vec3.copy(this.normal.array, plane.normal.array);
            this.normal._dirty = true;
            this.distance = plane.distance;
        },

        /**
         * Clone a new plane
         * @return {clay.Plane}
         */
        clone: function() {
            var plane = new Plane();
            plane.copy(this);
            return plane;
        }
    };

    export default Plane;