"use strict"; Object.defineProperty(exports, "__esModule", { value: true }); exports.createAsech = void 0; var _factory = require("../../utils/factory.js"); var _index = require("../../plain/number/index.js"); const name = 'asech'; const dependencies = ['typed', 'config', 'Complex', 'BigNumber']; const createAsech = exports.createAsech = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => { let { typed, config, Complex, BigNumber } = _ref; /** * Calculate the hyperbolic arcsecant of a value, * defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`. * * To avoid confusion with the matrix hyperbolic arcsecant, this function * does not apply to matrices. * * Syntax: * * math.asech(x) * * Examples: * * math.asech(0.5) // returns 1.3169578969248166 * * See also: * * acsch, acoth * * @param {number | BigNumber | Complex} x Function input * @return {number | BigNumber | Complex} Hyperbolic arcsecant of x */ return typed(name, { number: function (x) { if (x <= 1 && x >= -1 || config.predictable) { const xInv = 1 / x; if (xInv > 0 || config.predictable) { return (0, _index.asechNumber)(x); } const ret = Math.sqrt(xInv * xInv - 1); return new Complex(Math.log(ret - xInv), Math.PI); } return new Complex(x, 0).asech(); }, Complex: function (x) { return x.asech(); }, BigNumber: function (x) { return new BigNumber(1).div(x).acosh(); } }); });