53 lines
1.4 KiB
JavaScript
53 lines
1.4 KiB
JavaScript
import { factory } from '../../utils/factory.js';
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import { deepMap } from '../../utils/collection.js';
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import { acothNumber } from '../../plain/number/index.js';
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var name = 'acoth';
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var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
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export var createAcoth = /* #__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 arccotangent of a value,
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* defined as `acoth(x) = atanh(1/x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.
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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.acoth(x)
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*
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* Examples:
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*
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* math.acoth(0.5) // returns 0.8047189562170503
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*
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* See also:
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*
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* acsch, asech
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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 arccotangent 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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return acothNumber(x);
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}
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return new Complex(x, 0).acoth();
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},
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Complex: function Complex(x) {
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return x.acoth();
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},
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BigNumber: function BigNumber(x) {
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return new _BigNumber(1).div(x).atanh();
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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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}); |