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