60 lines
1.5 KiB
JavaScript
60 lines
1.5 KiB
JavaScript
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import { factory } from '../../utils/factory.js';
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import { deepMap } from '../../utils/collection.js';
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import { asechNumber } from '../../plain/number/index.js';
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var name = 'asech';
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var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
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export var createAsech = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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config,
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Complex,
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BigNumber: _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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* For matrices, the function is evaluated element wise.
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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 | Complex | Array | Matrix} x Function input
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* @return {number | Complex | Array | Matrix} Hyperbolic arcsecant of x
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*/
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return typed(name, {
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number: function number(x) {
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if (x <= 1 && x >= -1 || config.predictable) {
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var xInv = 1 / x;
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if (xInv > 0 || config.predictable) {
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return asechNumber(x);
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}
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var 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 Complex(x) {
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return x.asech();
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},
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BigNumber: function BigNumber(x) {
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return new _BigNumber(1).div(x).acosh();
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},
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'Array | Matrix': function ArrayMatrix(x) {
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return deepMap(x, this);
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}
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});
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});
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