Golden ratio/Convergence: Difference between revisions
Created Nim solution.
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(Created Nim solution.) |
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The error is approximately -1.2018646491362972e-06
</pre>
=={{header|Nim}}==
<syntaxhighlight lang="Nim">import std/strutils
iterator goldenRatio(): (int, float) =
var phi = 1.0
var idx = 0
while true:
yield (idx, phi)
phi = 1 + 1 / phi
inc idx
const Eps = 1e-5
const Phi = 1.6180339887498948482045868343656381177203091798057628621354486
var prev = 0.0
for (i, phi) in goldenRatio():
if abs(phi - prev) <= Eps:
echo "Final value of φ: ", phi
echo "Number of iterations: ", i
echo "Approximative error: ", formatFloat(phi - Phi, ffDecimal)
break
prev = phi
</syntaxhighlight>
{{out}}
<pre>Final value of φ: 1.618032786885246
Number of iterations: 14
Approximative error: -0.0000012018646491</pre>
=={{header|ObjectIcon}}==
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