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Math-Prime-Util-0.30
River stage two • 12 direct dependents • 19 total dependents
22 ++

Changes for version 0.30 - 2013-08-06

  • API Changes
    • Primality proofs now use the new "MPU Certificate" format, which is text rather than a nested Perl data structure. This is much better for external interaction, especially with non-Perl tools. It is not quite as convenient for all-Perl manipulation.
  • Functions Added
    • is_frobenius_underwood_pseudoprime
    • is_almost_extra_strong_lucas_pseudoprime
    • lucas_sequence
    • pplus1_factor
  • Enhancements
    • Documentation and PP is_prime changed to use extra strong Lucas test from the strong test. This matches what the newest MPU::GMP does. This has no effect at all for numbers < 2^64. No counter-example is known for the standard, strong, extra strong, or almost extra strong (increment 1 or 2) tests. The extra strong test is faster than the strong test and produces fewer pseudoprimes. It retains the residue class properties of the strong Lucas test (where the SPSP-2 pseudoprimes favor residue class 1 and the Lucas pseudoprimes favor residue class -1), hence should retain the BPSW test strength.
    • XS code for all 4 Lucas tests.
    • Clean up is_prob_prime, also ~10% faster for n >= 885594169.
    • Small mulmod speedup for non-gcc/x86_64 platforms, and for any platform with gcc 4.4 or newer.
  • Bug Fixes
    • Fixed a rare refcount / bignum / callback issue in next_prime.

Modules

Math::Prime::Util
Utilities related to prime numbers, including fast sieves and factoring
Math::Prime::Util::ECAffinePoint
Elliptic curve operations for affine points
Math::Prime::Util::ECProjectivePoint
Elliptic curve operations for projective points
Math::Prime::Util::MemFree
An auto-free object for Math::Prime::Util
Math::Prime::Util::PP
Pure Perl version of Math::Prime::Util
Math::Prime::Util::PrimalityProving
Primality proofs and certificates
Math::Prime::Util::PrimeArray
A tied array for primes
Math::Prime::Util::ZetaBigFloat
Perl Big Float versions of Riemann Zeta and R functions

Examples

Other files