Download or view hyperoperation.frink in plain text format
/** This implements the hyperoperation function, which is a generalization of
several mathematical operators:
* n = 0 : the unary successor function (returns b+1; a is ignored)
* n = 1 : addition (a + b) (a+1+1+1+1... b times)
* n = 2 : multiplication (a * b) (a+a+a+a... b times)
* n = 3 : exponentiation (a^b) (a*a*a*a... b times)
* n = 4 : tetration (a^a^a^a ... b times)
* etc
See:
https://en.m.wikipedia.org/wiki/Hyperoperation
*/
/** Optimized version of hyperoperations. */
hyper[n, a, b] :=
{
println["hyper[$n, $a, $b]"]
if n == 0
return b+1
if n == 1
return a + b
if n == 2
return a * b
if b == 0
return 1
if n == 3
return a^b
return hyper[n-1, a, hyper[n, a, b-1]]
}
Download or view hyperoperation.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen was born 19966 days, 18 hours, 31 minutes ago.