simple-squiggle

A restricted subset of Squiggle
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acoth.js (1387B)

      1 import { factory } from '../../utils/factory.js';
      2 import { deepMap } from '../../utils/collection.js';
      3 import { acothNumber } from '../../plain/number/index.js';
      4 var name = 'acoth';
      5 var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
      6 export var createAcoth = /* #__PURE__ */factory(name, dependencies, _ref => {
      7   var {
      8     typed,
      9     config,
     10     Complex,
     11     BigNumber: _BigNumber
     12   } = _ref;
     13 
     14   /**
     15    * Calculate the hyperbolic arccotangent of a value,
     16    * defined as `acoth(x) = atanh(1/x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.
     17    *
     18    * For matrices, the function is evaluated element wise.
     19    *
     20    * Syntax:
     21    *
     22    *    math.acoth(x)
     23    *
     24    * Examples:
     25    *
     26    *    math.acoth(0.5)       // returns 0.8047189562170503
     27    *
     28    * See also:
     29    *
     30    *    acsch, asech
     31    *
     32    * @param {number | Complex | Array | Matrix} x  Function input
     33    * @return {number | Complex | Array | Matrix} Hyperbolic arccotangent of x
     34    */
     35   return typed(name, {
     36     number: function number(x) {
     37       if (x >= 1 || x <= -1 || config.predictable) {
     38         return acothNumber(x);
     39       }
     40 
     41       return new Complex(x, 0).acoth();
     42     },
     43     Complex: function Complex(x) {
     44       return x.acoth();
     45     },
     46     BigNumber: function BigNumber(x) {
     47       return new _BigNumber(1).div(x).atanh();
     48     },
     49     'Array | Matrix': function ArrayMatrix(x) {
     50       return deepMap(x, this);
     51     }
     52   });
     53 });