mathjs/es/function/trigonometry/acsch.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 { acschNumber } from '../../plain/number';
var name = 'acsch';
var dependencies = ['typed', 'BigNumber'];
export var createAcsch =
/* #__PURE__ */
factory(name, dependencies, function (_ref) {
  var typed = _ref.typed,
      _BigNumber = _ref.BigNumber;

  /**
   * Calculate the hyperbolic arccosecant of a value,
   * defined as `acsch(x) = asinh(1/x) = ln(1/x + sqrt(1/x^2 + 1))`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.acsch(x)
   *
   * Examples:
   *
   *    math.acsch(0.5)       // returns 1.4436354751788103
   *
   * See also:
   *
   *    asech, acoth
   *
   * @param {number | Complex | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic arccosecant of x
   */
  var acsch = typed(name, {
    number: acschNumber,
    Complex: function Complex(x) {
      return x.acsch();
    },
    BigNumber: function BigNumber(x) {
      return new _BigNumber(1).div(x).asinh();
    },
    'Array | Matrix': function ArrayMatrix(x) {
      return deepMap(x, acsch);
    }
  });
  return acsch;
});