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Math-Prime-Util-0.41
River stage two • 12 direct dependents • 19 total dependents
22 ++

Changes for version 0.41 - 2014-05-18

  • ADDED
    • valuation(n,k) how many times does k divide n?
    • invmod(a,n) inverse of a modulo n
    • forpart { ... } n[,{...}] loop over partitions (Pari 2.6.x)
    • vecsum(...) sum list of integers
    • binomial(n,k) binomial coefficient
  • FUNCTIONALITY AND PERFORMANCE
    • Big speedup for primality testing in range ~2^25 to 2^64, which also affects functions like next_prime, prev_prime, etc. This is due to two changes in the Montgomery math section -- an improvement to mont_prod64 and using a new modular inverse from W. Izykowski based on Arazi (1994).
    • factoring small inputs (n < 20M) is ~10% faster, which speeds up some misc functions (e.g. euler_phi, divisor_sum) for small inputs.
    • Small improvement to twin_prime_count_approx and nth_twin_prime_approx.
    • Better AKS testing in xt/primality-aks.pl.
    • Loosen requirements of lucas_sequence. More useful for general seqs. Add tests for some common sequences.
    • forcomposites handles beg and end near ~0.

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::PPFE
PP front end for Math::Prime::Util
Math::Prime::Util::PrimalityProving
Primality proofs and certificates
Math::Prime::Util::PrimeArray
A tied array for primes
Math::Prime::Util::PrimeIterator
An object iterator for primes
Math::Prime::Util::RandomPrimes
Generate random primes
Math::Prime::Util::ZetaBigFloat
Perl Big Float versions of Riemann Zeta and R functions

Provides

Math::Prime::Util
in lib/Math/Prime/Util/PPFE.pm

Examples

Other files