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Revision Update to 0.65 Upstream changes: 0.65 2017-05-03 [API Changes] - Config options irand and primeinc are deprecated. They will carp if set. [FUNCTIONALITY AND PERFORMANCE] - Add Math::BigInt::Lite to list of known bigint objects. - sum_primes fix for certain ranges with results near 2^64. - is_prime, next_prime, prev_prime do a lock-free check for a find-in-cache optimization. This is a big help on on some platforms with many threads. - C versions of LogarithmicIntegral and inverse_li rewritten. inverse_li honors the documentation promise within FP representation. Thanks to Kim Walisch for motivation and discussion. - Slightly faster XS nth_prime_approx. - PP nth_prime_approx uses inverse_li past 1e12, which should run at a reasonable speed now. - Adjusted crossover points for segment vs. LMO interval prime_count. - Slightly tighter prime_count_lower, nth_prime_upper, and Ramanujan bounds. 0.64 2017-04-17 [FUNCTIONALITY AND PERFORMANCE] - inverse_li switched to Halley instead of binary search. Faster. - Don't call pre-0.46 GMP backend directly for miller_rabin_random. 0.63 2017-04-16 [FUNCTIONALITY AND PERFORMANCE] - Moved miller_rabin_random to separate interface. Make catching of negative bases more explicit. 0.62 2017-04-16 [API Changes] - The 'irand' config option is removed, as we now use our own CSPRNG. It can be seeded with csrand() or srand(). The latter is not exported. - The 'primeinc' config option is deprecated and will go away soon. [ADDED] - irand() Returns uniform random 32-bit integer - irand64() Returns uniform random 64-bit integer - drand([fmax]) Returns uniform random NV (floating point) - urandomb(n) Returns uniform random integer less than 2^n - urandomm(n) Returns uniform random integer in [0, n-1] - random_bytes(nbytes) Return a string of CSPRNG bytes - csrand(data) Seed the CSPRNG - srand([UV]) Insecure seed for the CSPRNG (not exported) - entropy_bytes(nbytes) Returns data from our entropy source - :rand Exports srand, rand, irand, irand64 - nth_ramanujan_prime_upper(n) Upper limit of nth Ramanujan prime - nth_ramanujan_prime_lower(n) Lower limit of nth Ramanujan prime - nth_ramanujan_prime_approx(n) Approximate nth Ramanujan prime - ramanujan_prime_count_upper(n) Upper limit of Ramanujan prime count - ramanujan_prime_count_lower(n) Lower limit of Ramanujan prime count - ramanujan_prime_count_approx(n) Approximate Ramanujan prime count [FUNCTIONALITY AND PERFORMANCE] - vecsum is faster when returning a bigint from native inputs (we construct the 128-bit string in C, then call _to_bigint). - Add a simple Legendre prime sum using uint128_t, which means only for modern 64-bit compilers. It allows reasonably fast prime sums for larger inputs, e.g. 10^12 in 10 seconds. Kim Walisch's primesum is much more sophisticated and over 100x faster. - is_pillai about 10x faster for composites. - Much faster Ramanujan prime count and nth prime. These also now use vastly less memory even with large inputs. - small speed ups for cluster sieve. - faster PP is_semiprime. - Add prime option to forpart restrictions for all prime / non-prime. - is_primitive_root needs two args, as documented. - We do random seeding ourselves now, so remove dependency. - Random primes functions moved to XS / GMP, 3-10x faster. 0.61 2017-03-12 [ADDED] - is_semiprime(n) Returns 1 if n has exactly 2 prime factors - is_pillai(p) Returns 0 or v wherev v! % n == n-1 and n % v != 1 - inverse_li(n) Integer inverse of Logarithmic Integral [FUNCTIONALITY AND PERFORMANCE] - is_power(-1,k) now returns true for odd k. - RiemannZeta with GMP was not subtracting 1 from results > 9. - PP Bernoulli algorithm changed to Seidel from Brent-Harvey. 2x speedup. Math::BigNum is 10x faster, and our GMP code is 2000x faster. - LambertW changes in C and PP. Much better initial approximation, and switch iteration from Halley to Fritsch. 2 to 10x faster. - Try to use GMP LambertW for bignums if it is available. - Use Montgomery math in more places: = sqrtmod. 1.2-1.7x faster. = is_primitive_root. Up to 2x faster for some inputs. = p-1 factoring stage 1. - Tune AKS r/s selection above 32-bit. - primes.pl uses twin_primes function for ~3x speedup. - native chinese can handle some cases that used to overflow. Use Shell sort on moduli to prevent pathological-but-reasonable test case. - chinese directly to GMP - Switch to Bytes::Random::Secure::Tiny -- fewer dependencies. - PP nth_prime_approx has better MSE and uses inverse_li above 10^12. - All random prime functions will use GMP versions if possible and if a custom irand has not been configured. They are much faster than the PP versions at smaller bit sizes. - is_carmichael and is_pillai small speedups. |

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