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proc agm {a b} {
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set old_b [expr {$b<0?inf:-inf}]
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while {$a != $b && $b != $old_b} {
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set old_b $b
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lassign [list [expr {0.5*($a+$b)}] [expr {sqrt($a*$b)}]] a b
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}
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return $a
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}
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puts [agm 1 [expr 1/sqrt(2)]]
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