mathjs/es/function/trigonometry/acoth.js

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

import { factory } from '../../utils/factory';
import { deepMap } from '../../utils/collection';
import { acothNumber } from '../../plain/number';
var name = 'acoth';
var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
export var createAcoth =
/* #__PURE__ */
factory(name, dependencies, function (_ref) {
  var typed = _ref.typed,
      config = _ref.config,
      Complex = _ref.Complex,
      _BigNumber = _ref.BigNumber;

  /**
   * Calculate the hyperbolic arccotangent of a value,
   * defined as `acoth(x) = atanh(1/x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.acoth(x)
   *
   * Examples:
   *
   *    math.acoth(0.5)       // returns 0.8047189562170503
   *
   * See also:
   *
   *    acsch, asech
   *
   * @param {number | Complex | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic arccotangent of x
   */
  var acoth = typed(name, {
    number: function number(x) {
      if (x >= 1 || x <= -1 || config.predictable) {
        return acothNumber(x);
      }

      return new Complex(x, 0).acoth();
    },
    Complex: function Complex(x) {
      return x.acoth();
    },
    BigNumber: function BigNumber(x) {
      return new _BigNumber(1).div(x).atanh();
    },
    'Array | Matrix': function ArrayMatrix(x) {
      return deepMap(x, acoth);
    }
  });
  return acoth;
});