Fibonacci sequence: Difference between revisions
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===Binary powering=== |
===Binary powering=== |
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This is an efficient method (similar to the one used internally by <code>fibonacci()</code>), although running it without compilation won't give competitive speed. |
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<syntaxhighlight lang="parigp">fib(n)={ |
<syntaxhighlight lang="parigp">fib(n)={ |
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if(n<=0, |
if(n<=0, |
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a |
a |
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};</syntaxhighlight> |
};</syntaxhighlight> |
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===Trigonometric=== |
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This solution uses the complex hyperbolic sine. |
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<syntaxhighlight lang="parigp">fib(n)=real(2/sqrt(5)/I^n*sinh(n*log(I*(1+sqrt(5))/2)))\/1;</syntaxhighlight> |
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===Chebyshev=== |
===Chebyshev=== |
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