StackGenVis/frontend/node_modules/sylvester-es6/target/Line.js

"use strict";

Object.defineProperty(exports, "__esModule", {
    value: true
});
exports.Line = undefined;

var _createClass = function () { function defineProperties(target, props) { for (var i = 0; i < props.length; i++) { var descriptor = props[i]; descriptor.enumerable = descriptor.enumerable || false; descriptor.configurable = true; if ("value" in descriptor) descriptor.writable = true; Object.defineProperty(target, descriptor.key, descriptor); } } return function (Constructor, protoProps, staticProps) { if (protoProps) defineProperties(Constructor.prototype, protoProps); if (staticProps) defineProperties(Constructor, staticProps); return Constructor; }; }();

var _PRECISION = require("./PRECISION");

var _Vector = require("./Vector");

var _Matrix = require("./Matrix");

var _Plane = require("./Plane");

function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } }

var Line = exports.Line = function () {
    function Line(anchor, direction) {
        _classCallCheck(this, Line);

        this.setVectors(anchor, direction);
    }

    _createClass(Line, [{
        key: "eql",
        value: function eql(line) {
            return this.isParallelTo(line) && this.contains(line.anchor);
        }
    }, {
        key: "dup",
        value: function dup() {
            return new Line(this.anchor, this.direction);
        }
    }, {
        key: "translate",
        value: function translate(vector) {
            var V = vector.elements || vector;
            return new Line([this.anchor.elements[0] + V[0], this.anchor.elements[1] + V[1], this.anchor.elements[2] + (V[2] || 0)], this.direction);
        }
    }, {
        key: "isParallelTo",
        value: function isParallelTo(obj) {
            if (obj.normal || obj.start && obj.end) {
                return obj.isParallelTo(this);
            }
            var theta = this.direction.angleFrom(obj.direction);
            return Math.abs(theta) <= _PRECISION.PRECISION || Math.abs(theta - Math.PI) <= _PRECISION.PRECISION;
        }
    }, {
        key: "distanceFrom",
        value: function distanceFrom(obj) {
            if (obj.normal || obj.start && obj.end) {
                return obj.distanceFrom(this);
            }
            if (obj.direction) {
                // obj is a line
                if (this.isParallelTo(obj)) {
                    return this.distanceFrom(obj.anchor);
                }
                var N = this.direction.cross(obj.direction).toUnitVector().elements;
                var A = this.anchor.elements,
                    B = obj.anchor.elements;
                return Math.abs((A[0] - B[0]) * N[0] + (A[1] - B[1]) * N[1] + (A[2] - B[2]) * N[2]);
            } else {
                // obj is a point
                var P = obj.elements || obj;
                var A = this.anchor.elements,
                    D = this.direction.elements;
                var PA1 = P[0] - A[0],
                    PA2 = P[1] - A[1],
                    PA3 = (P[2] || 0) - A[2];
                var modPA = Math.sqrt(PA1 * PA1 + PA2 * PA2 + PA3 * PA3);
                if (modPA === 0) {
                    return 0;
                }
                // Assumes direction vector is normalized
                var cosTheta = (PA1 * D[0] + PA2 * D[1] + PA3 * D[2]) / modPA;
                var sin2 = 1 - cosTheta * cosTheta;
                return Math.abs(modPA * Math.sqrt(sin2 < 0 ? 0 : sin2));
            }
        }
    }, {
        key: "contains",
        value: function contains(obj) {
            if (obj.start && obj.end) {
                return this.contains(obj.start) && this.contains(obj.end);
            }
            var dist = this.distanceFrom(obj);
            return dist !== null && dist <= _PRECISION.PRECISION;
        }
    }, {
        key: "positionOf",
        value: function positionOf(point) {
            if (!this.contains(point)) {
                return null;
            }
            var P = point.elements || point;
            var A = this.anchor.elements,
                D = this.direction.elements;
            return (P[0] - A[0]) * D[0] + (P[1] - A[1]) * D[1] + ((P[2] || 0) - A[2]) * D[2];
        }
    }, {
        key: "liesIn",
        value: function liesIn(plane) {
            return plane.contains(this);
        }
    }, {
        key: "intersects",
        value: function intersects(obj) {
            if (obj.normal) {
                return obj.intersects(this);
            }
            return !this.isParallelTo(obj) && this.distanceFrom(obj) <= _PRECISION.PRECISION;
        }
    }, {
        key: "intersectionWith",
        value: function intersectionWith(obj) {
            if (obj.normal || obj.start && obj.end) {
                return obj.intersectionWith(this);
            }
            if (!this.intersects(obj)) {
                return null;
            }
            var P = this.anchor.elements,
                X = this.direction.elements,
                Q = obj.anchor.elements,
                Y = obj.direction.elements;
            var X1 = X[0],
                X2 = X[1],
                X3 = X[2],
                Y1 = Y[0],
                Y2 = Y[1],
                Y3 = Y[2];
            var PsubQ1 = P[0] - Q[0],
                PsubQ2 = P[1] - Q[1],
                PsubQ3 = P[2] - Q[2];
            var XdotQsubP = -X1 * PsubQ1 - X2 * PsubQ2 - X3 * PsubQ3;
            var YdotPsubQ = Y1 * PsubQ1 + Y2 * PsubQ2 + Y3 * PsubQ3;
            var XdotX = X1 * X1 + X2 * X2 + X3 * X3;
            var YdotY = Y1 * Y1 + Y2 * Y2 + Y3 * Y3;
            var XdotY = X1 * Y1 + X2 * Y2 + X3 * Y3;
            var k = (XdotQsubP * YdotY / XdotX + XdotY * YdotPsubQ) / (YdotY - XdotY * XdotY);
            return new _Vector.Vector([P[0] + k * X1, P[1] + k * X2, P[2] + k * X3]);
        }
    }, {
        key: "pointClosestTo",
        value: function pointClosestTo(obj) {
            if (obj.start && obj.end) {
                // obj is a line segment
                var P = obj.pointClosestTo(this);
                return P === null ? null : this.pointClosestTo(P);
            } else if (obj.direction) {
                // obj is a line
                if (this.intersects(obj)) {
                    return this.intersectionWith(obj);
                }
                if (this.isParallelTo(obj)) {
                    return null;
                }
                var D = this.direction.elements,
                    E = obj.direction.elements;
                var D1 = D[0],
                    D2 = D[1],
                    D3 = D[2],
                    E1 = E[0],
                    E2 = E[1],
                    E3 = E[2];
                // Create plane containing obj and the shared normal and intersect this
                // with it Thank you:
                // http://www.cgafaq.info/wiki/Line-line_distance
                var x = D3 * E1 - D1 * E3,
                    y = D1 * E2 - D2 * E1,
                    z = D2 * E3 - D3 * E2;
                var N = [x * E3 - y * E2, y * E1 - z * E3, z * E2 - x * E1];
                var P = new _Plane.Plane(obj.anchor, N);
                return P.intersectionWith(this);
            } else {
                // obj is a point
                var P = obj.elements || obj;
                if (this.contains(P)) {
                    return new _Vector.Vector(P);
                }
                var A = this.anchor.elements,
                    D = this.direction.elements;
                var D1 = D[0],
                    D2 = D[1],
                    D3 = D[2],
                    A1 = A[0],
                    A2 = A[1],
                    A3 = A[2];
                var x = D1 * (P[1] - A2) - D2 * (P[0] - A1),
                    y = D2 * ((P[2] || 0) - A3) - D3 * (P[1] - A2),
                    z = D3 * (P[0] - A1) - D1 * ((P[2] || 0) - A3);
                var V = new _Vector.Vector([D2 * x - D3 * z, D3 * y - D1 * x, D1 * z - D2 * y]);
                var k = this.distanceFrom(P) / V.modulus();
                return new _Vector.Vector([P[0] + V.elements[0] * k, P[1] + V.elements[1] * k, (P[2] || 0) + V.elements[2] * k]);
            }
        }

        // Returns a copy of the line rotated by t radians about the given line. Works
        // by finding the argument's closest point to this line's anchor point (call
        // this C) and rotating the anchor about C. Also rotates the line's direction
        // about the argument's. Be careful with this - the rotation axis' direction
        // affects the outcome!

    }, {
        key: "rotate",
        value: function rotate(t, line) {
            // If we're working in 2D
            if (typeof line.direction === 'undefined') {
                line = new Line(line.to3D(), _Vector.Vector.k);
            }
            var R = _Matrix.Matrix.Rotation(t, line.direction).elements;
            var C = line.pointClosestTo(this.anchor).elements;
            var A = this.anchor.elements,
                D = this.direction.elements;
            var C1 = C[0],
                C2 = C[1],
                C3 = C[2],
                A1 = A[0],
                A2 = A[1],
                A3 = A[2];
            var x = A1 - C1,
                y = A2 - C2,
                z = A3 - C3;
            return new Line([C1 + R[0][0] * x + R[0][1] * y + R[0][2] * z, C2 + R[1][0] * x + R[1][1] * y + R[1][2] * z, C3 + R[2][0] * x + R[2][1] * y + R[2][2] * z], [R[0][0] * D[0] + R[0][1] * D[1] + R[0][2] * D[2], R[1][0] * D[0] + R[1][1] * D[1] + R[1][2] * D[2], R[2][0] * D[0] + R[2][1] * D[1] + R[2][2] * D[2]]);
        }
    }, {
        key: "reverse",
        value: function reverse() {
            return new Line(this.anchor, this.direction.x(-1));
        }
    }, {
        key: "reflectionIn",
        value: function reflectionIn(obj) {
            if (obj.normal) {
                // obj is a plane
                var A = this.anchor.elements,
                    D = this.direction.elements;
                var A1 = A[0],
                    A2 = A[1],
                    A3 = A[2],
                    D1 = D[0],
                    D2 = D[1],
                    D3 = D[2];
                var newA = this.anchor.reflectionIn(obj).elements;
                // Add the line's direction vector to its anchor, then mirror that in the plane
                var AD1 = A1 + D1,
                    AD2 = A2 + D2,
                    AD3 = A3 + D3;
                var Q = obj.pointClosestTo([AD1, AD2, AD3]).elements;
                var newD = [Q[0] + (Q[0] - AD1) - newA[0], Q[1] + (Q[1] - AD2) - newA[1], Q[2] + (Q[2] - AD3) - newA[2]];
                return new Line(newA, newD);
            } else if (obj.direction) {
                // obj is a line - reflection obtained by rotating PI radians about obj
                return this.rotate(Math.PI, obj);
            } else {
                // obj is a point - just reflect the line's anchor in it
                var P = obj.elements || obj;
                return new Line(this.anchor.reflectionIn([P[0], P[1], P[2] || 0]), this.direction);
            }
        }
    }, {
        key: "setVectors",
        value: function setVectors(anchor, direction) {
            // Need to do this so that line's properties are not references to the
            // arguments passed in
            anchor = new _Vector.Vector(anchor);
            direction = new _Vector.Vector(direction);
            if (anchor.elements.length === 2) {
                anchor.elements.push(0);
            }
            if (direction.elements.length === 2) {
                direction.elements.push(0);
            }
            if (anchor.elements.length > 3 || direction.elements.length > 3) {
                return null;
            }
            var mod = direction.modulus();
            if (mod === 0) {
                return null;
            }
            this.anchor = anchor;
            this.direction = new _Vector.Vector([direction.elements[0] / mod, direction.elements[1] / mod, direction.elements[2] / mod]);
            return this;
        }
    }]);

    return Line;
}();

Line.X = new Line(_Vector.Vector.Zero(3), _Vector.Vector.i);
Line.Y = new Line(_Vector.Vector.Zero(3), _Vector.Vector.j);
Line.Z = new Line(_Vector.Vector.Zero(3), _Vector.Vector.k);
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