How to resolve the algorithm Gamma function step by step in the Lua programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Gamma function step by step in the Lua programming language
Table of Contents
Problem Statement
Implement one algorithm (or more) to compute the Gamma (
Γ
{\displaystyle \Gamma }
) function (in the real field only). If your language has the function as built-in or you know a library which has it, compare your implementation's results with the results of the built-in/library function. The Gamma function can be defined as: This suggests a straightforward (but inefficient) way of computing the
Γ
{\displaystyle \Gamma }
through numerical integration.
Better suggested methods:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Gamma function step by step in the Lua programming language
Source code in the lua programming language
gamma, coeff, quad, qui, set = 0.577215664901, -0.65587807152056, -0.042002635033944, 0.16653861138228, -0.042197734555571
function recigamma(z)
return z + gamma * z^2 + coeff * z^3 + quad * z^4 + qui * z^5 + set * z^6
end
function gammafunc(z)
if z == 1 then return 1
elseif math.abs(z) <= 0.5 then return 1 / recigamma(z)
else return (z - 1) * gammafunc(z-1)
end
end
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