27 lines
536 B
Plaintext
27 lines
536 B
Plaintext
/*
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Calculate the limit of Sum( f(n) )
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until it reaches asymptotic limit 0.00001% change
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return null or found limit
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*/
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fun findSumLimit(f) {
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var sum = 0.0
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for( n in 1..1000000 ) {
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val s0 = sum
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sum += f(n)
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if( abs(sum - s0) / abs(sum) < 1.0e-6 ) {
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println("limit reached after "+n+" rounds")
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break sum
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}
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n++
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}
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else {
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println("limit not reached")
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null
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}
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}
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val limit = findSumLimit { n -> 1.0/n/n }
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println("Result: "+limit)
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