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complex javascript code

Gavin Dennett answered on March 20, 2024 Popularity 2/10 Helpfulness 8/10

answer complex javascript code

complex javascript code

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/*
 * A gamma function implementation based on Lanczos Approximation
 * https://en.wikipedia.org/wiki/Lanczos_approximation
 */

var Complex = require('../complex');

var P = [Complex(0.99999999999980993),
  Complex(676.5203681218851), Complex(-1259.1392167224028), Complex(771.32342877765313),
  Complex(-176.61502916214059), Complex(12.507343278686905), Complex(-0.13857109526572012),
  Complex(9.9843695780195716e-6), Complex(1.5056327351493116e-7)];

var SQRT2PI = Complex(Math.sqrt(2 * Math.PI));

function gamma(z) {

  z = z.sub(1);

  var x = P[0];
  var t = z.add(7.5);
  for (var i = 1; i < P.length; i++) {
    x = x.add(P[i].div(z.add(i)));
  }
  return SQRT2PI.mul(t.pow(z.add(0.5))).mul(t.neg().exp()).mul(x);
}

var fac = 1;
for (var i = 1; i <= 10; i++) {
  console.log(fac, gamma(Complex(i)));
  fac *= i;
}

Popularity 2/10 Helpfulness 8/10 Language javascript

Source: github.com

Tags: javascript

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Contributed on Mar 20 2024

Gavin Dennett

0 Answers Avg Quality 2/10

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