Golden ratio/Convergence: Difference between revisions

=={{header|Lua}}==

<p>When representated as a 64-bit floating point value, it takes 38 iterations before the iterated value is indistinguishable from the calculated one.</p>

<p>The stipulation to stop when the error is less than 1e-5 is presumably to prevent calculations with arbitrary-precision values from continuing infinitely.</p>

<p>Since such data types are unavailable in the core Lua language, we may as well continue to the natural limitation.</p>

<syntaxhighlight lang="lua">local phi, iters = 1, 0

repeat

phi = 1 + 1 / phi

iters = iters + 1

until phi == (1 + math.sqrt(5))/2

print("Value of phi: " .. phi)

print("Iterations required: " .. iters)</syntaxhighlight>

{{out}}

<pre>Value of phi: 1.6180339887499

Iterations required: 38</pre>