External module "math/base/tools/continued-fraction/docs/types/index.d"

Export assignment continuedFraction

• continuedFraction(generator: Function, options?: Options): number

• Evaluates the continued fraction approximation for the supplied series generator using the modified Lentz algorithm.

  References

  • Lentz, William J. 1976. "Generating bessel functions in Mie scattering calculations using continued fractions." Applied Optics 15 (3): 668–71. doi:10.1364/AO.15.000668.

  Parameters

  • generator: Function

    function returning terms of continued fraction expansion

  • Optional options: Options

    function options

  Returns number

  value of continued fraction

  Example

  // Continued fraction for (e-1)^(-1):
  var gen = generator();
  var out = continuedFraction( gen );
  // returns ~0.582
  
  function* generator() {
     var i = 0;
     while ( true ) {
         i++;
         yield [ i, i ];
     }
  }