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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Golden-ratio-Convergence/Nim/golden-ratio-convergence.nim Normal file
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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