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Math-Prime-Util-GMP-0.19
River stage one • 2 direct dependents • 6 total dependents
7 ++

Changes for version 0.19 - 2014-04-21

  • ADDED
    • is_power
    • exp_mangoldt
  • FIXES
    • Fixed string shortcut for simple divisibility. is_prime and related functions are a bit faster when given inputs divisible by 2 or 5.
  • OTHER
    • Add improved AKS parameter selection. About 200x faster, though still thousands of times slower than APR-CL or ECPP. Updated times for the example in the v0.10 entry: Timing for 10**100+267: AKS: ~5 days. BLS75 n-1: ~3 minutes. APR-CL: 0.09 seconds ECPP: 0.05 seconds.
    • ECPP performance adjustments, version 1.03 of standalone ECPP.
    • Updated ECPP class polynomial data. Default "tiny" table had very minor changes. The "big" table (in the github xt/ directory, default for standalone ECPP) removed some large coefficient 17-24 degree polys to make room for many more higher-degree polys. For some ranges this may mean more backtracking, but should expand the input size that is able to find good discriminants without high factoring effort. "prob" below is summing the estimate 1/2H: 9x more polys and 66x larger size gives on average about 3x more candidates.
      • Default "tiny" table: OLD: 30373 bytes 604 polys 24 maxdeg 42.0 prob 1450 prob/MB NEW: 30422 bytes 611 polys 25 maxdeg 42.8 prob 1475 prob/MB
      • "big" table at www.probableprime.org/ecpp/cpd/big/class_poly_data.h.gz OLD: 2032376 bytes 3197 polys 117 maxdeg 104.5 prob 54 prob/MB NEW: 2005072 bytes 5271 polys 85 maxdeg 125.2 prob 65 prob/MB
      • "huge" table at www.probableprime.org/ecpp/cpd/huge/class_poly_data.h.gz 15724395 bytes 14571 polys 128 maxdeg 207.9 prob 14 prob/MB

Modules

Math::Prime::Util::GMP
Utilities related to prime numbers and factoring, using GMP

Examples

Other files