import { factory } from '../../utils/factory.js'; import { createAlgorithm02 } from '../../type/matrix/utils/algorithm02.js'; import { createAlgorithm03 } from '../../type/matrix/utils/algorithm03.js'; import { createAlgorithm09 } from '../../type/matrix/utils/algorithm09.js'; import { createAlgorithm11 } from '../../type/matrix/utils/algorithm11.js'; import { createAlgorithm12 } from '../../type/matrix/utils/algorithm12.js'; import { createAlgorithm13 } from '../../type/matrix/utils/algorithm13.js'; import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14.js'; var name = 'atan2'; var dependencies = ['typed', 'matrix', 'equalScalar', 'BigNumber', 'DenseMatrix']; export var createAtan2 = /* #__PURE__ */factory(name, dependencies, _ref => { var { typed, matrix, equalScalar, BigNumber, DenseMatrix } = _ref; var algorithm02 = createAlgorithm02({ typed, equalScalar }); var algorithm03 = createAlgorithm03({ typed }); var algorithm09 = createAlgorithm09({ typed, equalScalar }); var algorithm11 = createAlgorithm11({ typed, equalScalar }); var algorithm12 = createAlgorithm12({ typed, DenseMatrix }); var algorithm13 = createAlgorithm13({ typed }); var algorithm14 = createAlgorithm14({ typed }); /** * Calculate the inverse tangent function with two arguments, y/x. * By providing two arguments, the right quadrant of the computed angle can be * determined. * * For matrices, the function is evaluated element wise. * * Syntax: * * math.atan2(y, x) * * Examples: * * math.atan2(2, 2) / math.pi // returns number 0.25 * * const angle = math.unit(60, 'deg') // returns Unit 60 deg * const x = math.cos(angle) * const y = math.sin(angle) * * math.atan(2) // returns Complex 1.5707963267948966 -1.3169578969248166 i * * See also: * * tan, atan, sin, cos * * @param {number | Array | Matrix} y Second dimension * @param {number | Array | Matrix} x First dimension * @return {number | Array | Matrix} Four-quadrant inverse tangent */ return typed(name, { 'number, number': Math.atan2, // Complex numbers doesn't seem to have a reasonable implementation of // atan2(). Even Matlab removed the support, after they only calculated // the atan only on base of the real part of the numbers and ignored the imaginary. 'BigNumber, BigNumber': function BigNumberBigNumber(y, x) { return BigNumber.atan2(y, x); }, 'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) { return algorithm09(x, y, this, false); }, 'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) { // mind the order of y and x! return algorithm02(y, x, this, true); }, 'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) { return algorithm03(x, y, this, false); }, 'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) { return algorithm13(x, y, this); }, 'Array, Array': function ArrayArray(x, y) { return this(matrix(x), matrix(y)).valueOf(); }, 'Array, Matrix': function ArrayMatrix(x, y) { return this(matrix(x), y); }, 'Matrix, Array': function MatrixArray(x, y) { return this(x, matrix(y)); }, 'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) { return algorithm11(x, y, this, false); }, 'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) { return algorithm14(x, y, this, false); }, 'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) { // mind the order of y and x return algorithm12(y, x, this, true); }, 'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) { // mind the order of y and x return algorithm14(y, x, this, true); }, 'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) { return algorithm14(matrix(x), y, this, false).valueOf(); }, 'number | BigNumber, Array': function numberBigNumberArray(x, y) { return algorithm14(matrix(y), x, this, true).valueOf(); } }); });