Add missing DEPENDS
Upstream changes:
0.29 30 May 2013
- Fix a signed vs. unsigned char issue in ranged moebius. Thanks to the
Debian testers for finding this.
- XS is_prob_prime / is_prime now use a BPSW-style test (SPRP2 plus
extra strong Lucas test) for values over 2^32. This results in up
to 2.5x faster performance for large 64-bit values on most machines.
All PSP2s have been verified with Jan Feitsma's database.
- forprimes now uses a segmented sieve. This (1) allows arbitrary 64-bit
ranges with good memory use, and (2) allows nesting on threaded perls.
- prime_count_approx for very large values (> 10^36) was very slow without
Math::MPFR. Switch to Li+correction for large values if Math::MPFR is
not available.
- Workaround for MSVC compiler.
- Added:
is_pseudoprime (Fermat probable prime test)
is_lucas_pseudoprime (standard Lucas-Selfridge test)
is_extra_strong_lucas_pseudoprime (Mo/Jones/Grantham E.S. Lucas test)
0.28 23 May 2013
- An optimization to nth_prime caused occasional threaded Win32 faults.
Adjust so this is avoided.
- Yet another XS micro-speedup (PERL_NO_GET_CONTEXT)
- forprimes { block } [begin,]end. e.g.
forprimes { say } 100;
$sum = 0; forprimes { $sum += $_ } 1000,50000; say $sum;
forprimes { say if is_prime($_+2) } 10000; # print twin primes
- my $it = prime_iterator(10000); say $it->();
This is experimental (that is, the interface may change).
0.27 20 May 2013
- is_prime, is_prob_prime, next_prime, and prev_prime now all go straight
to XS if possible. This makes them much faster for small inputs without
having to use the -nobigint flag.
- XS simple number validation to lower function call overhead. Still a
lot more overhead compared to directly calling the XS functions, but
it shaves a little bit of time off every call.
- Speedup pure Perl factoring of small numbers.
- is_prob_prime / is_prime about 10% faster for composites.
- Allow '+N' as the second parameter to primes.pl. This allows:
primes.pl 100 +30
to return the primes between 100 and 130. Or:
primes.pl 'nth_prime(1000000000)' +2**8
- Use EXTENDED_TESTING to turn on extra tests.
0.26 21 April 2013
- Pure Perl factoring:
- real p-1 -- much faster and more effective
- Fermat (no better than HOLF)
- speedup for pbrent
- simple ECM
- redo factoring mix
- New functions:
prime_certificate produces a certificate of primality.
verify_prime checks a primality certificate.
- Pure perl primality proof now uses BLS75 instead of Lucas, so some
numbers will be much faster [n-1 only needs factoring to (n/2)^1/3].
- Math::Prime::Util::ECAffinePoint and ECProjectivePoint modules for
dealing with elliptic curves.
0.25 19 March 2013
- Speed up p-1 stage 2 factoring. Combined with some minor changes to the
general factoring combination, ~20% faster for 19 digit semiprimes.
- New internal macro to loop over primary sieve starting at 2. Simplifies
code in quite a few places.
- Forgot to skip one of the tests with broken 5.6.2.
0.24 10 March 2013
- Fix compilation with old pre-C99 strict compilers (decl after statement).
- euler_phi on a range wasn't working right with some ranges.
- More XS prime count improvements to speed and space. Add some tables
to the sieve count so it runs a bit faster. Transition from sieve later.
- PP prime count for 10^9 and larger is ~2x faster and uses much less
memory. Similar impact for nth_prime 10^8 or larger.
- Let factor.pl accept expressions just like primes.pl.
0.23 5 March 2013
- Replace XS Zeta for x > 5 with series from Cephes. It is 1 eps more
accurate for a small fraction of inputs. More importantly, it is much
faster in range 5 < x < 10. This only affects non-integer inputs.
- PP Zeta code replaced (for no-MPFR, non-bignums) with new series. The
new code is much more accurate for small values, and *much* faster.
- Add consecutive_integer_lcm function, just like MPU::GMP's (though we
define ci_lcm(0) = 0, which should get propogated).
- Implement binary search on RiemannR for XS nth_prime when n > 2e11.
Runs ~2x faster for 1e12, 3x faster for 1e13. Thanks to Programming
Praxis for the idea and motivation.
- Add the first and second Chebyshev functions (theta and psi).
- put isqrt(n) in util.h, use it everywhere.
put icbrt(n) in lehmer.h, use it there.
- Start on Lagarias-Miller-Odlyzko prime count.
- A new data structure for the phi(x,a) function used by all the fast
prime count routines. Quite a bit faster and most importantly, uses
half the memory of the old structure.
- Performance:
- Divisor sum with no sub is ~10x faster.
- Speed up PP version of exp_mangoldt, create XS version.
- Zeta much faster as mentioned above.
- faster nth_prime as mentioned above.
- AKS about 10% faster.
- Unroll a little more in sieve inner loop. A couple percent faster.
- Faster prime_count and nth_prime due to new phi(x,a) (about 1.25x).
0.22 26 February 2013
- Move main factor loop out of xs and into factor.c.
- Totient and Moebius now have complete XS implementations.
- Ranged totient uses less memory when segmented.
- Switch thread locking to pthreads condition variables.
0.21 22 February 2013
- Switch to using Bytes::Random::Secure for random primes. This is a
big change in that it is the first non-CORE module used. However, it
gets rid of lots of possible stupidness from system rand.
- Spelling fixes in documentation.
- primes.pl: Add circular and Panaitopol primes.
- euler_phi and moebius now will compute over a range.
- Add mertens function: 1000+ times faster than summing moebius($_).
- Add exp_mangoldt function: exponential of von Mangoldt's function.
- divisor_sum defaults to sigma if no sub is given (i.e. it sums).
- Performance:
- Speedup factoring small numbers. With -nobigint factoring from
1 to 10M, it's 1.2x faster. 1.5x faster than Math::Factor::XS.
- Totient and M枚bius over a range are much faster than separate calls.
- divisor_sum is 2x faster.
- primes.pl is much faster with Pillai primes.
- Reduce overhead in euler_phi -- about 2x faster for individual calls.
0.20 3 February 2013
- Speedup for PP AKS, and turn off test on 32-bit machines.
- Replaced fast sqrt detection in PP.pm with a slightly slower version.
The bloom filter doesn't work right in 32-bit Perl. Having a non-working
detector led to really bad performance. Hence this and the AKS change
should speed up testing on some 32-bit machines by a huge amount.
- Fix is_perfect_power in XS AKS.
0.19 1 February 2013
- Update MR bases with newest from http://miller-rabin.appspot.com/.
- Fixed some issues when using bignum and Calc BigInt backend, and bignum
and Perl 5.6.
- Added tests for bigint is_provable_prime.
- Added a few tests to give better coverage.
- Adjust some validation subroutines to cut down on overhead.
0.18 14 January 2013
- Add random_strong_prime.
- Fix builds with Solaris 9 and older.
- Add some debug info to perhaps find out why old ActiveState Perls are
dying in Math::BigInt::Calc, as if they were using really old versions
that run out of memory trying to calculate '2 ** 66'.
http://code.activestate.com/ppm/Math-Prime-Util/
0.17 20 December 2012
- Perl 5.8.1 - 5.8.7 miscalculates 12345 ** 4, which I used in a test.
- Fix (hopefully) for MSC compilation.
- Unroll sieve loop for another 20% or so speedup. It won't have much
practical application now that we use Lehmer's method for counts, but
there are some cases that can still show speedups.
- Changed the rand functionality yet again. Sorry. This should give
better support for plugging in crypto RNG's when used from other
modules.
0.16 11 December 2012
- randbits >= 32 on some 32-bit systems was messing us up. Restrict our
internal randbits to wordsize-1.
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