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agm(a, b) := %pi/4*(a + b)/elliptic_kc(((a - b)/(a + b))^2)$
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agm(1, 1/sqrt(2)), bfloat, fpprec: 85;
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/* 8.472130847939790866064991234821916364814459103269421850605793726597340048341347597232b-1 */
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