mathjs/es/function/trigonometry/coth.js

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

  /**
   * Calculate the hyperbolic cotangent of a value,
   * defined as `coth(x) = 1 / tanh(x)`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.coth(x)
   *
   * Examples:
   *
   *    // coth(x) = 1 / tanh(x)
   *    math.coth(2)         // returns 1.0373147207275482
   *    1 / math.tanh(2)     // returns 1.0373147207275482
   *
   * See also:
   *
   *    sinh, tanh, cosh
   *
   * @param {number | Complex | Unit | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic cotangent of x
   */
  var coth = typed(name, {
    number: cothNumber,
    Complex: function Complex(x) {
      return x.coth();
    },
    BigNumber: function BigNumber(x) {
      return new _BigNumber(1).div(x.tanh());
    },
    Unit: function Unit(x) {
      if (!x.hasBase(x.constructor.BASE_UNITS.ANGLE)) {
        throw new TypeError('Unit in function coth is no angle');
      }

      return coth(x.value);
    },
    'Array | Matrix': function ArrayMatrix(x) {
      return deepMap(x, coth);
    }
  });
  return coth;
});