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import Foundation
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func feigenbaum(iterations: Int = 13) {
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var a = 0.0
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var a1 = 1.0
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var a2 = 0.0
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var d = 0.0
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var d1 = 3.2
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print(" i d")
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for i in 2...iterations {
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a = a1 + (a1 - a2) / d1
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for _ in 1...10 {
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var x = 0.0
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var y = 0.0
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for _ in 1...1<<i {
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y = 1.0 - 2.0 * y * x
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x = a - x * x
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}
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a -= x / y
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}
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d = (a1 - a2) / (a - a1)
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d1 = d
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(a1, a2) = (a, a1)
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print(String(format: "%2d %.8f", i, d))
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}
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}
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feigenbaum()
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