text: 'use strict'
  
  const deepMap = require('../../utils/collection/deepMap')
  
  function factory (type, config, load, typed) {
    /**
     * 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
     */
    const acoth = typed('acoth', {
      'number': function (x) {
        if (x >= 1 || x <= -1 || config.predictable) {
          return isFinite(x) ? (Math.log((x + 1) / x) + Math.log(x / (x - 1))) / 2 : 0
        }
        return new type.Complex(x, 0).acoth()
      },
  
      'Complex': function (x) {
        return x.acoth()
      },
  
      'BigNumber': function (x) {
        return new type.BigNumber(1).div(x).atanh()
      },
  
      'Array | Matrix': function (x) {
        return deepMap(x, acoth)
      }
    })
  
    acoth.toTex = {1: `\\coth^{-1}\\left(\${args[0]}\\right)`}
  
    return acoth
  }
  
  exports.name = 'acoth'
  exports.factory = factory
  