28 lines
1.2 KiB
Nim
28 lines
1.2 KiB
Nim
import math, strformat
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const A = [
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1.00000000000000000000, 0.57721566490153286061, -0.65587807152025388108,
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-0.04200263503409523553, 0.16653861138229148950, -0.04219773455554433675,
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-0.00962197152787697356, 0.00721894324666309954, -0.00116516759185906511,
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-0.00021524167411495097, 0.00012805028238811619, -0.00002013485478078824,
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-0.00000125049348214267, 0.00000113302723198170, -0.00000020563384169776,
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0.00000000611609510448, 0.00000000500200764447, -0.00000000118127457049,
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0.00000000010434267117, 0.00000000000778226344, -0.00000000000369680562,
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0.00000000000051003703, -0.00000000000002058326, -0.00000000000000534812,
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0.00000000000000122678, -0.00000000000000011813, 0.00000000000000000119,
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0.00000000000000000141, -0.00000000000000000023, 0.00000000000000000002 ]
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proc gamma(x: float): float =
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let y = x - 1
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result = A[^1]
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for n in countdown(A.high - 1, A.low):
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result = result * y + A[n]
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result = 1 / result
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echo "Our gamma function Nim gamma function Difference"
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echo "------------------ ------------------ ----------"
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for i in 1..10:
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let val1 = gamma(i.toFloat / 3)
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let val2 = math.gamma(i.toFloat / 3)
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echo &"{val1:18.16f} {val2:18.16f} {val1 - val2:11.4e}"
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