Sum of a series: Difference between revisions
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→{{header|Perl 6}}: change last one to an inverse square operator |
→{{header|Perl 6}}: update works with |
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=={{header|Perl 6}}== |
=={{header|Perl 6}}== |
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(Some of these work with [[rakudo]], and others with [[niecza]]. Eventually they'll all work everywhere...) |
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{{works with|Rakudo|#22 "Thousand Oaks"}} |
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In general, the <code>$n</code>th partial sum of a series whose terms are given by a unary function <code>&f</code> is |
In general, the <code>$n</code>th partial sum of a series whose terms are given by a unary function <code>&f</code> is |
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<lang perl6>constant @x = [\+] 0, { 1 / ++(state $n) ** 2 } ... *; |
<lang perl6>constant @x = [\+] 0, { 1 / ++(state $n) ** 2 } ... *; |
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say @x[1000]; # prints 1.64393456668156</lang> |
say @x[1000]; # prints 1.64393456668156</lang> |
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Note that |
Note that infinite constant sequences can be lazily generated in Perl 6, or this wouldn't work so well... |
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Finally, if list comprehensions are your hammer, you can nail it this way. Though defining a inverse square superscript operator is obviously just showing off. <tt>:-)</tt> |
Finally, if list comprehensions are your hammer, you can nail it this way. Though defining a inverse square superscript operator is obviously just showing off. <tt>:-)</tt> |
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