simple-squiggle

A restricted subset of Squiggle
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asech.js (1566B)

      1 import { factory } from '../../utils/factory.js';
      2 import { deepMap } from '../../utils/collection.js';
      3 import { asechNumber } from '../../plain/number/index.js';
      4 var name = 'asech';
      5 var dependencies = ['typed', 'config', 'Complex', 'BigNumber'];
      6 export var createAsech = /* #__PURE__ */factory(name, dependencies, _ref => {
      7   var {
      8     typed,
      9     config,
     10     Complex,
     11     BigNumber: _BigNumber
     12   } = _ref;
     13 
     14   /**
     15    * Calculate the hyperbolic arcsecant of a value,
     16    * defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.
     17    *
     18    * For matrices, the function is evaluated element wise.
     19    *
     20    * Syntax:
     21    *
     22    *    math.asech(x)
     23    *
     24    * Examples:
     25    *
     26    *    math.asech(0.5)       // returns 1.3169578969248166
     27    *
     28    * See also:
     29    *
     30    *    acsch, acoth
     31    *
     32    * @param {number | Complex | Array | Matrix} x  Function input
     33    * @return {number | Complex | Array | Matrix} Hyperbolic arcsecant of x
     34    */
     35   return typed(name, {
     36     number: function number(x) {
     37       if (x <= 1 && x >= -1 || config.predictable) {
     38         var xInv = 1 / x;
     39 
     40         if (xInv > 0 || config.predictable) {
     41           return asechNumber(x);
     42         }
     43 
     44         var ret = Math.sqrt(xInv * xInv - 1);
     45         return new Complex(Math.log(ret - xInv), Math.PI);
     46       }
     47 
     48       return new Complex(x, 0).asech();
     49     },
     50     Complex: function Complex(x) {
     51       return x.asech();
     52     },
     53     BigNumber: function BigNumber(x) {
     54       return new _BigNumber(1).div(x).acosh();
     55     },
     56     'Array | Matrix': function ArrayMatrix(x) {
     57       return deepMap(x, this);
     58     }
     59   });
     60 });