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func agm_pi(digits) {
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var acc = (digits + 8);
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local Num!PREC = 4*digits;
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var an = 1;
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var bn = sqrt(0.5);
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var tn = 0.5**2;
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var pn = 1;
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while (pn < acc) {
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var prev_an = an;
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an = (bn+an / 2);
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bn = sqrt(bn * prev_an);
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prev_an -= an;
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tn -= (pn * prev_an**2);
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pn *= 2;
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}
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((an+bn)**2 / 4*tn).to_s
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}
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say agm_pi(100);
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