import { arraySize, squeeze } from '../../utils/array.js'; import { factory } from '../../utils/factory.js'; var name = 'cross'; var dependencies = ['typed', 'matrix', 'subtract', 'multiply']; export var createCross = /* #__PURE__ */factory(name, dependencies, _ref => { var { typed, matrix, subtract, multiply } = _ref; /** * Calculate the cross product for two vectors in three dimensional space. * The cross product of `A = [a1, a2, a3]` and `B = [b1, b2, b3]` is defined * as: * * cross(A, B) = [ * a2 * b3 - a3 * b2, * a3 * b1 - a1 * b3, * a1 * b2 - a2 * b1 * ] * * If one of the input vectors has a dimension greater than 1, the output * vector will be a 1x3 (2-dimensional) matrix. * * Syntax: * * math.cross(x, y) * * Examples: * * math.cross([1, 1, 0], [0, 1, 1]) // Returns [1, -1, 1] * math.cross([3, -3, 1], [4, 9, 2]) // Returns [-15, -2, 39] * math.cross([2, 3, 4], [5, 6, 7]) // Returns [-3, 6, -3] * math.cross([[1, 2, 3]], [[4], [5], [6]]) // Returns [[-3, 6, -3]] * * See also: * * dot, multiply * * @param {Array | Matrix} x First vector * @param {Array | Matrix} y Second vector * @return {Array | Matrix} Returns the cross product of `x` and `y` */ return typed(name, { 'Matrix, Matrix': function MatrixMatrix(x, y) { return matrix(_cross(x.toArray(), y.toArray())); }, 'Matrix, Array': function MatrixArray(x, y) { return matrix(_cross(x.toArray(), y)); }, 'Array, Matrix': function ArrayMatrix(x, y) { return matrix(_cross(x, y.toArray())); }, 'Array, Array': _cross }); /** * Calculate the cross product for two arrays * @param {Array} x First vector * @param {Array} y Second vector * @returns {Array} Returns the cross product of x and y * @private */ function _cross(x, y) { var highestDimension = Math.max(arraySize(x).length, arraySize(y).length); x = squeeze(x); y = squeeze(y); var xSize = arraySize(x); var ySize = arraySize(y); if (xSize.length !== 1 || ySize.length !== 1 || xSize[0] !== 3 || ySize[0] !== 3) { throw new RangeError('Vectors with length 3 expected ' + '(Size A = [' + xSize.join(', ') + '], B = [' + ySize.join(', ') + '])'); } var product = [subtract(multiply(x[1], y[2]), multiply(x[2], y[1])), subtract(multiply(x[2], y[0]), multiply(x[0], y[2])), subtract(multiply(x[0], y[1]), multiply(x[1], y[0]))]; if (highestDimension > 1) { return [product]; } else { return product; } } });