56 lines
1.4 KiB
JavaScript
56 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 { acoshNumber } from '../../plain/number/index.js';
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var name = 'acosh';
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var dependencies = ['typed', 'config', 'Complex'];
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export var createAcosh = /* #__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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} = _ref;
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/**
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* Calculate the hyperbolic arccos of a value,
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* defined as `acosh(x) = ln(sqrt(x^2 - 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.acosh(x)
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*
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* Examples:
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*
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* math.acosh(1.5) // returns 0.9624236501192069
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*
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* See also:
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*
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* cosh, asinh, atanh
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*
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* @param {number | Complex | Unit | Array | Matrix} x Function input
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* @return {number | Complex | Array | Matrix} Hyperbolic arccosine 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 || config.predictable) {
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return acoshNumber(x);
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}
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if (x <= -1) {
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return new Complex(Math.log(Math.sqrt(x * x - 1) - x), Math.PI);
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}
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return new Complex(x, 0).acosh();
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},
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Complex: function Complex(x) {
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return x.acosh();
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},
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BigNumber: function BigNumber(x) {
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return 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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}); |