Sum of a series: Difference between revisions
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(sum 1 1000 (lambda (x) (/ 1 (* x x)))) ; fraction |
(sum 1 1000 (lambda (x) (/ 1 (* x x)))) ; fraction |
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(exact->inexact (sum 1 1000 (lambda (x) (/ 1 (* x x))))) ; decimal</lang> |
(exact->inexact (sum 1 1000 (lambda (x) (/ 1 (* x x))))) ; decimal</lang> |
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More idiomatic way (or so they say) by tail recursion: |
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<lang scheme>(define (invsq f to) |
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(let loop ((f f) (s 0)) |
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(if (> f to) |
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s |
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(loop (+ 1 f) (+ s (/ 1 f f)))))) |
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;; whether you get a rational or a float depends on implementation |
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(invsq 1 1000) ; 835459384831...766449/50820...90400000000 |
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(exact->inexact (invsq 1 1000)) ; 1.64393456668156</lang> |
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=={{header|Seed7}}== |
=={{header|Seed7}}== |
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