feat:node-modules
This commit is contained in:
houjunxiang
311
node_modules/mathjs/lib/cjs/function/geometry/distance.js
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vendored
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311
node_modules/mathjs/lib/cjs/function/geometry/distance.js
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"use strict";
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Object.defineProperty(exports, "__esModule", {
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value: true
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});
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exports.createDistance = void 0;
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var _is = require("../../utils/is.js");
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var _factory = require("../../utils/factory.js");
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const name = 'distance';
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const dependencies = ['typed', 'addScalar', 'subtractScalar', 'divideScalar', 'multiplyScalar', 'deepEqual', 'sqrt', 'abs'];
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const createDistance = exports.createDistance = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => {
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let {
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typed,
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addScalar,
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subtractScalar,
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multiplyScalar,
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divideScalar,
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deepEqual,
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sqrt,
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abs
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} = _ref;
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/**
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* Calculates:
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* The eucledian distance between two points in N-dimensional spaces.
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* Distance between point and a line in 2 and 3 dimensional spaces.
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* Pairwise distance between a set of 2D or 3D points
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* NOTE:
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* When substituting coefficients of a line(a, b and c), use ax + by + c = 0 instead of ax + by = c
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* For parametric equation of a 3D line, x0, y0, z0, a, b, c are from: (x−x0, y−y0, z−z0) = t(a, b, c)
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*
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* Syntax:
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*
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* math.distance([x1,y1], [x2,y2])
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* math.distance({pointOneX, pointOneY}, {pointTwoX, pointTwoY})
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* math.distance([x1,y1,z1], [x2,y2,z2])
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* math.distance({pointOneX, pointOneY, pointOneZ}, {pointTwoX, pointTwoY, pointTwoZ})
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* math.distance([x1,y1,z1,a1], [x2,y2,z2,a2])
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* math.distance([[x1,y1], [x2,y2], [x3,y3]])
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* math.distance([[x1,y1,z1], [x2,y2,z2], [x3,y3,z3]])
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* math.distance([pointX,pointY], [a,b,c])
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* math.distance([pointX,pointY], [lineOnePtX,lineOnePtY], [lineTwoPtX,lineTwoPtY])
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* math.distance({pointX, pointY}, {lineOnePtX, lineOnePtY}, {lineTwoPtX, lineTwoPtY})
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* math.distance([pointX,pointY,pointZ], [x0, y0, z0, a, b, c])
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* math.distance({pointX, pointY, pointZ}, {x0, y0, z0, a, b, c})
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*
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* Examples:
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* math.distance([0,0], [4,4]) // Returns 5.656854249492381
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* math.distance(
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* {pointOneX: 0, pointOneY: 0},
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* {pointTwoX: 10, pointTwoY: 10}) // Returns 14.142135623730951
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* math.distance([1, 0, 1], [4, -2, 2]) // Returns 3.7416573867739413
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* math.distance(
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* {pointOneX: 4, pointOneY: 5, pointOneZ: 8},
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* {pointTwoX: 2, pointTwoY: 7, pointTwoZ: 9}) // Returns 3
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* math.distance([1, 0, 1, 0], [0, -1, 0, -1]) // Returns 2
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* math.distance([[1, 2], [1, 2], [1, 3]]) // Returns [0, 1, 1]
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* math.distance([[1,2,4], [1,2,6], [8,1,3]]) // Returns [2, 7.14142842854285, 7.681145747868608]
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* math.distance([10, 10], [8, 1, 3]) // Returns 11.535230316796387
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* math.distance([0, 0], [3, 0], [0, 4]) // Returns 2.4
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* math.distance(
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* {pointX: 0, pointY: 0},
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* {lineOnePtX: 3, lineOnePtY: 0},
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* {lineTwoPtX: 0, lineTwoPtY: 4}) // Returns 2.4
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* math.distance([2, 3, 1], [1, 1, 2, 5, 0, 1]) // Returns 2.3204774044612857
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* math.distance(
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* {pointX: 2, pointY: 3, pointZ: 1},
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* {x0: 1, y0: 1, z0: 2, a: 5, b: 0, c: 1}) // Returns 2.3204774044612857
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*
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* @param {Array | Matrix | Object} x Co-ordinates of first point
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* @param {Array | Matrix | Object} y Co-ordinates of second point
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* @return {Number | BigNumber} Returns the distance from two/three points
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*/
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return typed(name, {
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'Array, Array, Array': function (x, y, z) {
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// Point to Line 2D (x=Point, y=LinePoint1, z=LinePoint2)
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if (x.length === 2 && y.length === 2 && z.length === 2) {
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if (!_2d(x)) {
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throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');
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}
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if (!_2d(y)) {
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throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument');
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}
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if (!_2d(z)) {
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throw new TypeError('Array with 2 numbers or BigNumbers expected for third argument');
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}
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if (deepEqual(y, z)) {
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throw new TypeError('LinePoint1 should not be same with LinePoint2');
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}
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const xCoeff = subtractScalar(z[1], y[1]);
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const yCoeff = subtractScalar(y[0], z[0]);
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const constant = subtractScalar(multiplyScalar(z[0], y[1]), multiplyScalar(y[0], z[1]));
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return _distancePointLine2D(x[0], x[1], xCoeff, yCoeff, constant);
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} else {
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throw new TypeError('Invalid Arguments: Try again');
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}
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},
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'Object, Object, Object': function (x, y, z) {
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if (Object.keys(x).length === 2 && Object.keys(y).length === 2 && Object.keys(z).length === 2) {
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if (!_2d(x)) {
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throw new TypeError('Values of pointX and pointY should be numbers or BigNumbers');
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}
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if (!_2d(y)) {
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throw new TypeError('Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers');
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}
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if (!_2d(z)) {
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throw new TypeError('Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers');
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}
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if (deepEqual(_objectToArray(y), _objectToArray(z))) {
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throw new TypeError('LinePoint1 should not be same with LinePoint2');
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}
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if ('pointX' in x && 'pointY' in x && 'lineOnePtX' in y && 'lineOnePtY' in y && 'lineTwoPtX' in z && 'lineTwoPtY' in z) {
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const xCoeff = subtractScalar(z.lineTwoPtY, y.lineOnePtY);
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const yCoeff = subtractScalar(y.lineOnePtX, z.lineTwoPtX);
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const constant = subtractScalar(multiplyScalar(z.lineTwoPtX, y.lineOnePtY), multiplyScalar(y.lineOnePtX, z.lineTwoPtY));
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return _distancePointLine2D(x.pointX, x.pointY, xCoeff, yCoeff, constant);
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} else {
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throw new TypeError('Key names do not match');
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}
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} else {
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throw new TypeError('Invalid Arguments: Try again');
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}
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},
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'Array, Array': function (x, y) {
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// Point to Line 2D (x=[pointX, pointY], y=[x-coeff, y-coeff, const])
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if (x.length === 2 && y.length === 3) {
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if (!_2d(x)) {
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throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');
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}
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if (!_3d(y)) {
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throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');
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}
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return _distancePointLine2D(x[0], x[1], y[0], y[1], y[2]);
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} else if (x.length === 3 && y.length === 6) {
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// Point to Line 3D
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if (!_3d(x)) {
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throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');
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}
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if (!_parametricLine(y)) {
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throw new TypeError('Array with 6 numbers or BigNumbers expected for second argument');
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}
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return _distancePointLine3D(x[0], x[1], x[2], y[0], y[1], y[2], y[3], y[4], y[5]);
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} else if (x.length === y.length && x.length > 0) {
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// Point to Point N-dimensions
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if (!_containsOnlyNumbers(x)) {
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throw new TypeError('All values of an array should be numbers or BigNumbers');
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}
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if (!_containsOnlyNumbers(y)) {
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throw new TypeError('All values of an array should be numbers or BigNumbers');
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}
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return _euclideanDistance(x, y);
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} else {
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throw new TypeError('Invalid Arguments: Try again');
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}
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},
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'Object, Object': function (x, y) {
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if (Object.keys(x).length === 2 && Object.keys(y).length === 3) {
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if (!_2d(x)) {
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throw new TypeError('Values of pointX and pointY should be numbers or BigNumbers');
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}
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if (!_3d(y)) {
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throw new TypeError('Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers');
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}
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if ('pointX' in x && 'pointY' in x && 'xCoeffLine' in y && 'yCoeffLine' in y && 'constant' in y) {
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return _distancePointLine2D(x.pointX, x.pointY, y.xCoeffLine, y.yCoeffLine, y.constant);
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} else {
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throw new TypeError('Key names do not match');
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}
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} else if (Object.keys(x).length === 3 && Object.keys(y).length === 6) {
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// Point to Line 3D
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if (!_3d(x)) {
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throw new TypeError('Values of pointX, pointY and pointZ should be numbers or BigNumbers');
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}
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if (!_parametricLine(y)) {
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throw new TypeError('Values of x0, y0, z0, a, b and c should be numbers or BigNumbers');
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}
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if ('pointX' in x && 'pointY' in x && 'x0' in y && 'y0' in y && 'z0' in y && 'a' in y && 'b' in y && 'c' in y) {
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return _distancePointLine3D(x.pointX, x.pointY, x.pointZ, y.x0, y.y0, y.z0, y.a, y.b, y.c);
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} else {
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throw new TypeError('Key names do not match');
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}
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} else if (Object.keys(x).length === 2 && Object.keys(y).length === 2) {
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// Point to Point 2D
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if (!_2d(x)) {
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throw new TypeError('Values of pointOneX and pointOneY should be numbers or BigNumbers');
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}
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if (!_2d(y)) {
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throw new TypeError('Values of pointTwoX and pointTwoY should be numbers or BigNumbers');
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}
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if ('pointOneX' in x && 'pointOneY' in x && 'pointTwoX' in y && 'pointTwoY' in y) {
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return _euclideanDistance([x.pointOneX, x.pointOneY], [y.pointTwoX, y.pointTwoY]);
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} else {
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throw new TypeError('Key names do not match');
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}
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} else if (Object.keys(x).length === 3 && Object.keys(y).length === 3) {
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// Point to Point 3D
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if (!_3d(x)) {
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throw new TypeError('Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers');
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}
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if (!_3d(y)) {
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throw new TypeError('Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers');
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}
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if ('pointOneX' in x && 'pointOneY' in x && 'pointOneZ' in x && 'pointTwoX' in y && 'pointTwoY' in y && 'pointTwoZ' in y) {
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return _euclideanDistance([x.pointOneX, x.pointOneY, x.pointOneZ], [y.pointTwoX, y.pointTwoY, y.pointTwoZ]);
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} else {
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throw new TypeError('Key names do not match');
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}
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} else {
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throw new TypeError('Invalid Arguments: Try again');
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}
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},
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Array: function (arr) {
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if (!_pairwise(arr)) {
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throw new TypeError('Incorrect array format entered for pairwise distance calculation');
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}
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return _distancePairwise(arr);
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}
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});
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function _isNumber(a) {
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// distance supports numbers and bignumbers
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return typeof a === 'number' || (0, _is.isBigNumber)(a);
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}
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function _2d(a) {
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// checks if the number of arguments are correct in count and are valid (should be numbers)
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if (a.constructor !== Array) {
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a = _objectToArray(a);
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}
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return _isNumber(a[0]) && _isNumber(a[1]);
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}
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function _3d(a) {
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// checks if the number of arguments are correct in count and are valid (should be numbers)
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if (a.constructor !== Array) {
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a = _objectToArray(a);
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}
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return _isNumber(a[0]) && _isNumber(a[1]) && _isNumber(a[2]);
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}
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function _containsOnlyNumbers(a) {
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// checks if the number of arguments are correct in count and are valid (should be numbers)
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if (!Array.isArray(a)) {
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a = _objectToArray(a);
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}
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return a.every(_isNumber);
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}
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function _parametricLine(a) {
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if (a.constructor !== Array) {
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a = _objectToArray(a);
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}
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return _isNumber(a[0]) && _isNumber(a[1]) && _isNumber(a[2]) && _isNumber(a[3]) && _isNumber(a[4]) && _isNumber(a[5]);
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}
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function _objectToArray(o) {
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const keys = Object.keys(o);
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const a = [];
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for (let i = 0; i < keys.length; i++) {
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a.push(o[keys[i]]);
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}
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return a;
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}
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function _pairwise(a) {
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// checks for valid arguments passed to _distancePairwise(Array)
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if (a[0].length === 2 && _isNumber(a[0][0]) && _isNumber(a[0][1])) {
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if (a.some(aI => aI.length !== 2 || !_isNumber(aI[0]) || !_isNumber(aI[1]))) {
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return false;
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}
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} else if (a[0].length === 3 && _isNumber(a[0][0]) && _isNumber(a[0][1]) && _isNumber(a[0][2])) {
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if (a.some(aI => aI.length !== 3 || !_isNumber(aI[0]) || !_isNumber(aI[1]) || !_isNumber(aI[2]))) {
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return false;
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}
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} else {
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return false;
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}
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return true;
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}
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function _distancePointLine2D(x, y, a, b, c) {
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const num = abs(addScalar(addScalar(multiplyScalar(a, x), multiplyScalar(b, y)), c));
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const den = sqrt(addScalar(multiplyScalar(a, a), multiplyScalar(b, b)));
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return divideScalar(num, den);
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}
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function _distancePointLine3D(x, y, z, x0, y0, z0, a, b, c) {
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let num = [subtractScalar(multiplyScalar(subtractScalar(y0, y), c), multiplyScalar(subtractScalar(z0, z), b)), subtractScalar(multiplyScalar(subtractScalar(z0, z), a), multiplyScalar(subtractScalar(x0, x), c)), subtractScalar(multiplyScalar(subtractScalar(x0, x), b), multiplyScalar(subtractScalar(y0, y), a))];
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num = sqrt(addScalar(addScalar(multiplyScalar(num[0], num[0]), multiplyScalar(num[1], num[1])), multiplyScalar(num[2], num[2])));
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const den = sqrt(addScalar(addScalar(multiplyScalar(a, a), multiplyScalar(b, b)), multiplyScalar(c, c)));
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return divideScalar(num, den);
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}
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function _euclideanDistance(x, y) {
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const vectorSize = x.length;
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let result = 0;
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let diff = 0;
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for (let i = 0; i < vectorSize; i++) {
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diff = subtractScalar(x[i], y[i]);
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result = addScalar(multiplyScalar(diff, diff), result);
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||||
}
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return sqrt(result);
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}
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function _distancePairwise(a) {
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||||
const result = [];
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||||
let pointA = [];
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||||
let pointB = [];
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||||
for (let i = 0; i < a.length - 1; i++) {
|
||||
for (let j = i + 1; j < a.length; j++) {
|
||||
if (a[0].length === 2) {
|
||||
pointA = [a[i][0], a[i][1]];
|
||||
pointB = [a[j][0], a[j][1]];
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||||
} else if (a[0].length === 3) {
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||||
pointA = [a[i][0], a[i][1], a[i][2]];
|
||||
pointB = [a[j][0], a[j][1], a[j][2]];
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||||
}
|
||||
result.push(_euclideanDistance(pointA, pointB));
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||||
}
|
||||
}
|
||||
return result;
|
||||
}
|
||||
});
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||||
206
node_modules/mathjs/lib/cjs/function/geometry/intersect.js
generated
vendored
Normal file
206
node_modules/mathjs/lib/cjs/function/geometry/intersect.js
generated
vendored
Normal file
@@ -0,0 +1,206 @@
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||||
"use strict";
|
||||
|
||||
Object.defineProperty(exports, "__esModule", {
|
||||
value: true
|
||||
});
|
||||
exports.createIntersect = void 0;
|
||||
var _factory = require("../../utils/factory.js");
|
||||
const name = 'intersect';
|
||||
const dependencies = ['typed', 'config', 'abs', 'add', 'addScalar', 'matrix', 'multiply', 'multiplyScalar', 'divideScalar', 'subtract', 'smaller', 'equalScalar', 'flatten', 'isZero', 'isNumeric'];
|
||||
const createIntersect = exports.createIntersect = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => {
|
||||
let {
|
||||
typed,
|
||||
config,
|
||||
abs,
|
||||
add,
|
||||
addScalar,
|
||||
matrix,
|
||||
multiply,
|
||||
multiplyScalar,
|
||||
divideScalar,
|
||||
subtract,
|
||||
smaller,
|
||||
equalScalar,
|
||||
flatten,
|
||||
isZero,
|
||||
isNumeric
|
||||
} = _ref;
|
||||
/**
|
||||
* Calculates the point of intersection of two lines in two or three dimensions
|
||||
* and of a line and a plane in three dimensions. The inputs are in the form of
|
||||
* arrays or 1 dimensional matrices. The line intersection functions return null
|
||||
* if the lines do not meet.
|
||||
*
|
||||
* Note: Fill the plane coefficients as `x + y + z = c` and not as `x + y + z + c = 0`.
|
||||
*
|
||||
* Syntax:
|
||||
*
|
||||
* math.intersect(endPoint1Line1, endPoint2Line1, endPoint1Line2, endPoint2Line2)
|
||||
* math.intersect(endPoint1, endPoint2, planeCoefficients)
|
||||
*
|
||||
* Examples:
|
||||
*
|
||||
* math.intersect([0, 0], [10, 10], [10, 0], [0, 10]) // Returns [5, 5]
|
||||
* math.intersect([0, 0, 0], [10, 10, 0], [10, 0, 0], [0, 10, 0]) // Returns [5, 5, 0]
|
||||
* math.intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6]) // Returns [7, -4, 3]
|
||||
*
|
||||
* @param {Array | Matrix} w Co-ordinates of first end-point of first line
|
||||
* @param {Array | Matrix} x Co-ordinates of second end-point of first line
|
||||
* @param {Array | Matrix} y Co-ordinates of first end-point of second line
|
||||
* OR Co-efficients of the plane's equation
|
||||
* @param {Array | Matrix} z Co-ordinates of second end-point of second line
|
||||
* OR undefined if the calculation is for line and plane
|
||||
* @return {Array} Returns the point of intersection of lines/lines-planes
|
||||
*/
|
||||
return typed('intersect', {
|
||||
'Array, Array, Array': _AAA,
|
||||
'Array, Array, Array, Array': _AAAA,
|
||||
'Matrix, Matrix, Matrix': function (x, y, plane) {
|
||||
const arr = _AAA(x.valueOf(), y.valueOf(), plane.valueOf());
|
||||
return arr === null ? null : matrix(arr);
|
||||
},
|
||||
'Matrix, Matrix, Matrix, Matrix': function (w, x, y, z) {
|
||||
// TODO: output matrix type should match input matrix type
|
||||
const arr = _AAAA(w.valueOf(), x.valueOf(), y.valueOf(), z.valueOf());
|
||||
return arr === null ? null : matrix(arr);
|
||||
}
|
||||
});
|
||||
function _AAA(x, y, plane) {
|
||||
x = _coerceArr(x);
|
||||
y = _coerceArr(y);
|
||||
plane = _coerceArr(plane);
|
||||
if (!_3d(x)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');
|
||||
}
|
||||
if (!_3d(y)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');
|
||||
}
|
||||
if (!_4d(plane)) {
|
||||
throw new TypeError('Array with 4 numbers expected as third argument');
|
||||
}
|
||||
return _intersectLinePlane(x[0], x[1], x[2], y[0], y[1], y[2], plane[0], plane[1], plane[2], plane[3]);
|
||||
}
|
||||
function _AAAA(w, x, y, z) {
|
||||
w = _coerceArr(w);
|
||||
x = _coerceArr(x);
|
||||
y = _coerceArr(y);
|
||||
z = _coerceArr(z);
|
||||
if (w.length === 2) {
|
||||
if (!_2d(w)) {
|
||||
throw new TypeError('Array with 2 numbers or BigNumbers expected for first argument');
|
||||
}
|
||||
if (!_2d(x)) {
|
||||
throw new TypeError('Array with 2 numbers or BigNumbers expected for second argument');
|
||||
}
|
||||
if (!_2d(y)) {
|
||||
throw new TypeError('Array with 2 numbers or BigNumbers expected for third argument');
|
||||
}
|
||||
if (!_2d(z)) {
|
||||
throw new TypeError('Array with 2 numbers or BigNumbers expected for fourth argument');
|
||||
}
|
||||
return _intersect2d(w, x, y, z);
|
||||
} else if (w.length === 3) {
|
||||
if (!_3d(w)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for first argument');
|
||||
}
|
||||
if (!_3d(x)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for second argument');
|
||||
}
|
||||
if (!_3d(y)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for third argument');
|
||||
}
|
||||
if (!_3d(z)) {
|
||||
throw new TypeError('Array with 3 numbers or BigNumbers expected for fourth argument');
|
||||
}
|
||||
return _intersect3d(w[0], w[1], w[2], x[0], x[1], x[2], y[0], y[1], y[2], z[0], z[1], z[2]);
|
||||
} else {
|
||||
throw new TypeError('Arrays with two or thee dimensional points expected');
|
||||
}
|
||||
}
|
||||
|
||||
/** Coerce row and column 2-dim arrays to 1-dim array */
|
||||
function _coerceArr(arr) {
|
||||
// row matrix
|
||||
if (arr.length === 1) return arr[0];
|
||||
|
||||
// column matrix
|
||||
if (arr.length > 1 && Array.isArray(arr[0])) {
|
||||
if (arr.every(el => Array.isArray(el) && el.length === 1)) return flatten(arr);
|
||||
}
|
||||
return arr;
|
||||
}
|
||||
function _2d(x) {
|
||||
return x.length === 2 && isNumeric(x[0]) && isNumeric(x[1]);
|
||||
}
|
||||
function _3d(x) {
|
||||
return x.length === 3 && isNumeric(x[0]) && isNumeric(x[1]) && isNumeric(x[2]);
|
||||
}
|
||||
function _4d(x) {
|
||||
return x.length === 4 && isNumeric(x[0]) && isNumeric(x[1]) && isNumeric(x[2]) && isNumeric(x[3]);
|
||||
}
|
||||
function _intersect2d(p1a, p1b, p2a, p2b) {
|
||||
const o1 = p1a;
|
||||
const o2 = p2a;
|
||||
const d1 = subtract(o1, p1b);
|
||||
const d2 = subtract(o2, p2b);
|
||||
const det = subtract(multiplyScalar(d1[0], d2[1]), multiplyScalar(d2[0], d1[1]));
|
||||
if (isZero(det)) return null;
|
||||
if (smaller(abs(det), config.relTol)) {
|
||||
return null;
|
||||
}
|
||||
const d20o11 = multiplyScalar(d2[0], o1[1]);
|
||||
const d21o10 = multiplyScalar(d2[1], o1[0]);
|
||||
const d20o21 = multiplyScalar(d2[0], o2[1]);
|
||||
const d21o20 = multiplyScalar(d2[1], o2[0]);
|
||||
const t = divideScalar(addScalar(subtract(subtract(d20o11, d21o10), d20o21), d21o20), det);
|
||||
return add(multiply(d1, t), o1);
|
||||
}
|
||||
function _intersect3dHelper(a, b, c, d, e, f, g, h, i, j, k, l) {
|
||||
// (a - b)*(c - d) + (e - f)*(g - h) + (i - j)*(k - l)
|
||||
const add1 = multiplyScalar(subtract(a, b), subtract(c, d));
|
||||
const add2 = multiplyScalar(subtract(e, f), subtract(g, h));
|
||||
const add3 = multiplyScalar(subtract(i, j), subtract(k, l));
|
||||
return addScalar(addScalar(add1, add2), add3);
|
||||
}
|
||||
function _intersect3d(x1, y1, z1, x2, y2, z2, x3, y3, z3, x4, y4, z4) {
|
||||
const d1343 = _intersect3dHelper(x1, x3, x4, x3, y1, y3, y4, y3, z1, z3, z4, z3);
|
||||
const d4321 = _intersect3dHelper(x4, x3, x2, x1, y4, y3, y2, y1, z4, z3, z2, z1);
|
||||
const d1321 = _intersect3dHelper(x1, x3, x2, x1, y1, y3, y2, y1, z1, z3, z2, z1);
|
||||
const d4343 = _intersect3dHelper(x4, x3, x4, x3, y4, y3, y4, y3, z4, z3, z4, z3);
|
||||
const d2121 = _intersect3dHelper(x2, x1, x2, x1, y2, y1, y2, y1, z2, z1, z2, z1);
|
||||
const numerator = subtract(multiplyScalar(d1343, d4321), multiplyScalar(d1321, d4343));
|
||||
const denominator = subtract(multiplyScalar(d2121, d4343), multiplyScalar(d4321, d4321));
|
||||
if (isZero(denominator)) return null;
|
||||
const ta = divideScalar(numerator, denominator);
|
||||
const tb = divideScalar(addScalar(d1343, multiplyScalar(ta, d4321)), d4343);
|
||||
const pax = addScalar(x1, multiplyScalar(ta, subtract(x2, x1)));
|
||||
const pay = addScalar(y1, multiplyScalar(ta, subtract(y2, y1)));
|
||||
const paz = addScalar(z1, multiplyScalar(ta, subtract(z2, z1)));
|
||||
const pbx = addScalar(x3, multiplyScalar(tb, subtract(x4, x3)));
|
||||
const pby = addScalar(y3, multiplyScalar(tb, subtract(y4, y3)));
|
||||
const pbz = addScalar(z3, multiplyScalar(tb, subtract(z4, z3)));
|
||||
if (equalScalar(pax, pbx) && equalScalar(pay, pby) && equalScalar(paz, pbz)) {
|
||||
return [pax, pay, paz];
|
||||
} else {
|
||||
return null;
|
||||
}
|
||||
}
|
||||
function _intersectLinePlane(x1, y1, z1, x2, y2, z2, x, y, z, c) {
|
||||
const x1x = multiplyScalar(x1, x);
|
||||
const x2x = multiplyScalar(x2, x);
|
||||
const y1y = multiplyScalar(y1, y);
|
||||
const y2y = multiplyScalar(y2, y);
|
||||
const z1z = multiplyScalar(z1, z);
|
||||
const z2z = multiplyScalar(z2, z);
|
||||
const numerator = subtract(subtract(subtract(c, x1x), y1y), z1z);
|
||||
const denominator = subtract(subtract(subtract(addScalar(addScalar(x2x, y2y), z2z), x1x), y1y), z1z);
|
||||
const t = divideScalar(numerator, denominator);
|
||||
const px = addScalar(x1, multiplyScalar(t, subtract(x2, x1)));
|
||||
const py = addScalar(y1, multiplyScalar(t, subtract(y2, y1)));
|
||||
const pz = addScalar(z1, multiplyScalar(t, subtract(z2, z1)));
|
||||
return [px, py, pz];
|
||||
// TODO: Add cases when line is parallel to the plane:
|
||||
// (a) no intersection,
|
||||
// (b) line contained in plane
|
||||
}
|
||||
});
|
||||
Reference in New Issue
Block a user