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mata
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real scalar agm(real scalar a, real scalar b) {
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real scalar c
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do {
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c=0.5*(a+b)
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b=sqrt(a*b)
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a=c
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} while (a-b>1e-15*a)
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return(0.5*(a+b))
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}
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agm(1,1/sqrt(2))
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end
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