mathjs/lib/esm/function/trigonometry/asech.js

import { factory } from '../../utils/factory.js';
import { deepMap } from '../../utils/collection.js';
import { asechNumber } from '../../plain/number/index.js';
var name = 'asech';
var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
export var createAsech = /* #__PURE__ */factory(name, dependencies, (_ref) => {
  var {
    typed,
    config,
    Complex,
    BigNumber: _BigNumber
  } = _ref;

  /**
   * Calculate the hyperbolic arcsecant of a value,
   * defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.asech(x)
   *
   * Examples:
   *
   *    math.asech(0.5)       // returns 1.3169578969248166
   *
   * See also:
   *
   *    acsch, acoth
   *
   * @param {number | Complex | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic arcsecant of x
   */
  return typed(name, {
    number: function number(x) {
      if (x <= 1 && x >= -1 || config.predictable) {
        var xInv = 1 / x;

        if (xInv > 0 || config.predictable) {
          return asechNumber(x);
        }

        var ret = Math.sqrt(xInv * xInv - 1);
        return new Complex(Math.log(ret - xInv), Math.PI);
      }

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