mathjs/lib/function/trigonometry/atan2.js

"use strict";

Object.defineProperty(exports, "__esModule", {
  value: true
});
exports.createAtan2 = void 0;

var _factory = require("../../utils/factory");

var _algorithm = require("../../type/matrix/utils/algorithm02");

var _algorithm2 = require("../../type/matrix/utils/algorithm03");

var _algorithm3 = require("../../type/matrix/utils/algorithm09");

var _algorithm4 = require("../../type/matrix/utils/algorithm11");

var _algorithm5 = require("../../type/matrix/utils/algorithm12");

var _algorithm6 = require("../../type/matrix/utils/algorithm13");

var _algorithm7 = require("../../type/matrix/utils/algorithm14");

var name = 'atan2';
var dependencies = ['typed', 'matrix', 'equalScalar', 'BigNumber', 'DenseMatrix'];
var createAtan2 = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
  var typed = _ref.typed,
      matrix = _ref.matrix,
      equalScalar = _ref.equalScalar,
      BigNumber = _ref.BigNumber,
      DenseMatrix = _ref.DenseMatrix;
  var algorithm02 = (0, _algorithm.createAlgorithm02)({
    typed: typed,
    equalScalar: equalScalar
  });
  var algorithm03 = (0, _algorithm2.createAlgorithm03)({
    typed: typed
  });
  var algorithm09 = (0, _algorithm3.createAlgorithm09)({
    typed: typed,
    equalScalar: equalScalar
  });
  var algorithm11 = (0, _algorithm4.createAlgorithm11)({
    typed: typed,
    equalScalar: equalScalar
  });
  var algorithm12 = (0, _algorithm5.createAlgorithm12)({
    typed: typed,
    DenseMatrix: DenseMatrix
  });
  var algorithm13 = (0, _algorithm6.createAlgorithm13)({
    typed: typed
  });
  var algorithm14 = (0, _algorithm7.createAlgorithm14)({
    typed: 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
   */

  var atan2 = 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, atan2, false);
    },
    'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {
      // mind the order of y and x!
      return algorithm02(y, x, atan2, true);
    },
    'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {
      return algorithm03(x, y, atan2, false);
    },
    'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {
      return algorithm13(x, y, atan2);
    },
    'Array, Array': function ArrayArray(x, y) {
      return atan2(matrix(x), matrix(y)).valueOf();
    },
    'Array, Matrix': function ArrayMatrix(x, y) {
      return atan2(matrix(x), y);
    },
    'Matrix, Array': function MatrixArray(x, y) {
      return atan2(x, matrix(y));
    },
    'SparseMatrix, number | BigNumber': function SparseMatrixNumberBigNumber(x, y) {
      return algorithm11(x, y, atan2, false);
    },
    'DenseMatrix, number | BigNumber': function DenseMatrixNumberBigNumber(x, y) {
      return algorithm14(x, y, atan2, false);
    },
    'number | BigNumber, SparseMatrix': function numberBigNumberSparseMatrix(x, y) {
      // mind the order of y and x
      return algorithm12(y, x, atan2, true);
    },
    'number | BigNumber, DenseMatrix': function numberBigNumberDenseMatrix(x, y) {
      // mind the order of y and x
      return algorithm14(y, x, atan2, true);
    },
    'Array, number | BigNumber': function ArrayNumberBigNumber(x, y) {
      return algorithm14(matrix(x), y, atan2, false).valueOf();
    },
    'number | BigNumber, Array': function numberBigNumberArray(x, y) {
      return algorithm14(matrix(y), x, atan2, true).valueOf();
    }
  });
  return atan2;
});
exports.createAtan2 = createAtan2;