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@ -2000,6 +2000,29 @@ normalized to be >= 0. |
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@code{a} must be > 0. @code{b} must be >0 and != 1. If log(a,b) is |
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rational number, this function returns true and sets *l = log(a,b), else |
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it returns false. |
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@item int jacobi (sint32 a, sint32 b) |
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@cindex @code{jacobi()} |
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@itemx int jacobi (const cl_I& a, const cl_I& b) |
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Returns the Jacobi symbol |
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@tex |
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$\left({a\over b}\right)$, |
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@end tex |
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@ifnottex |
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(a/b), |
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@end ifnottex |
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@code{a,b} must be integers, @code{b>0} and odd. The result is 0 |
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iff gcd(a,b)>1. |
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@item cl_boolean isprobprime (const cl_I& n) |
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@cindex prime |
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@cindex @code{isprobprime()} |
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Returns true if @code{n} is a small prime or passes the Miller-Rabin |
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primality test. The probability of a false positive is 1:10^30. |
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@item cl_I nextprobprime (const cl_R& x) |
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@cindex @code{nextprobprime()} |
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Returns the smallest probable prime >=@code{x}. |
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@end table |
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