Number theory oriented calculation system version 0.7.0 to 0.90.0 ----------------------- * change required Python version to 2.5. * many changes in matrix. * add new modules algfield, round2 and squarefree. * add a new module factor in poly sub-package. * add a new function map_choice in bigrandom. * add a new function euler in combinatorial. * add a method getRing to imaginary.Complex to fix sf bug # 1852828. * add a new class Real in real. * add a new method generate to factor.util.FactoringMethod. * add a new method total_degree to classes in poly.multivar. * add new methods resultant, discriminant and subresultant_extgcd to poly.uniutil.SubresultantGcdProvider. * add a new class IntegerPolynomial in poly.uniutil. * add a new method resultant to poly.multiutil.UniqueFactorizationDomainPolynomial. * change LLL into a function in lattice. * fix a few bugs in elliptic including sf bug #1913999. * fix a few bugs in gcd including sf bug #1924839. * fix a bug in prime._lucas_test_sequence. * change inplementation of polynomial.resultant. * a few minor modifications in rational. version 0.6.0 to 0.7.0 ---------------------- * add a new sub-package poly for new implementation of polynomials. * enhance quad module; class group structure, etc. * add a new module compatibility for easier treatment of sets compatibility. * add new functions bell, stirling1 and stirling2 in combinatorial. * add a new function inverse in ring. * add a new method exact_division to ring.CommutativeRingElement. * add new methods getCharacteristic and getCommonSuperring to ring.Ring. * add a new method permute,setKey,getData to permute.Permute and .ExPermute. * add a new class PermGroup and move group methods from Permute and .ExPermute. * fix a bug of equation.Newton. * fix bugs in finitefield (including sf bug #1751708, #1752666). * fix a bug of real.AbsoluteError (ML #75 reported by Dino Viehland). * update matrix to get rid of special treatment of rational integers. * speed up order and sgn in permute.Permute and .ExPermute. version 0.5.1 to 0.6.0 ---------------------- * add a new module arygcd for efficient gcds for some integer rings of imaginary quadratic fields. * add a new module bigrange for simplifying loops. * add a new module cubic_root for cubic residues and cubic roots for some integer rings of imaginary quadratic fields. * add a new module factor.ecm for elliptic curve method factorization. * add partition_numbers_upto and partition_number functions in combinatorial. * fix a bug of arith1.AGM function. (sf bug #1600223) * fix a bug of bigrandom.random function. (sf bug #1590692) * fix a bug of equation.e2_Fp and add e1_ZnZ to the module. version 0.5.0 to 0.5.1 ---------------------- * restructure matrix module. * restructure ec module. * revise vector module. * add zero and one for ResidueClassRing (requested by Bill Hale). * add bsgs to quad. * add lpsp and fpsp (Lucas and Frobenius pseudoprime tests) to prime. * add __hash__ for several immutable classes. * fix a bug of SimMethod in equation. * fix bugs in polynomial. * fix bugs in ring. version 0.4.1 to 0.5.0 ---------------------- * rearrange modules in factor sub-package. * add a new module quad for computing class numbers of imaginary quadratic fields. * add new modules group and perm for group order computation and calculations of permutation groups. * fix a bug of issquare function in arith1. * fix a bug of e3 function in equation. * move zassenhaus.combinationIndexGenerator to combinatorial. * add functions coprime and pairwise_coprime to gcd. * add a function log to arith1. * add a method smith to matrix.IntegerMatrix. * add functions fallingfactorial, risingfactorial, multinomial and partitionGenerator to combinatorial. version 0.4.0 to 0.4.1 ---------------------- * fix a bug of Schoof's method, EC.point, etc. in elliptic. * fix a bug of integrate method in polynomial. * fix a bug of e3_Fp function in equation. * move elliptic.divi to factor.AllDivisors. * rename arith1.sqroot to modsqrt and remove resembles in factor sub-package. * move vp from prime to arith1 and remove factor.factor.ord. * remove dependency on factor.trialDivision from prime. * move issquare from factor to arith1. * add a function getRing in ring. * add a function mpqsfind in factor.mpqs. * add a method order to finitefield.FinitePrimeFieldElement. * add generator_eratosthenes to prime (EXPERIMENTAL). version 0.3.1 to 0.4.0 ---------------------- * add new modules equation providing a root finding methods and zassenhaus providing factorization of integer coefficient polynomials. * fix some bugs in factor.factor and polynomial. * add a method to culculate Mordel-Weil group structure of elliptic curve over finite fields. * add a function floorpowerroot in arith1. * add functions bernoulli and catalan in combinatorial. * add a function PrimePowerTest in factor.factor. * add a function sigma in multiplicative. version 0.3.0 to 0.3.1 ---------------------- * fix import problem, and include finitefield.py mistakenly missing in 0.3.0. version 0.2.1 to 0.3.0 ---------------------- * create a new module multiplicative.py with euler and moebius from arith1.py to avoid circular import. version 0.2.0 to 0.2.1 ---------------------- * include some missing files in 0.2.0. Version 0.1.1 to 0.2.0 ---------------------- * add a new module factor.mpqs, which provides multi-polynomial quadratic sieve method. * add a method to culculate order of elliptic curve over finite fields. * rewrite polynomial.py for one variable polynomials. * rewrite real.py and imaginary.py. * fix bug in matrix.py (reported by Justin Walker). * many other bug fixes. * create a tutorial.txt document. Version 0.1.0 to 0.1.1 ---------------------- * BSD-licensed. * add a constant j to imaginary. * intializing Rational with denominator 0 raises ZeroDivisionError. * fix bugs in real.py and elliptic.py. Version 0.0.1 to 0.1.0 ---------------------- * add new module elliptic for elliptic curve operations. * remove optional argument for generator in prime.py. Condition may be specified with itertools instead. * add new module finitefield for finite field. It only includes finite prime field at the present moment. * add new module combinatrial including binomial and factorial. * add issubring and issuperring to Ring in ring.py. * add mpqs function (multi-polynomial quadratic sieve) in factor.py. * add IntegerIfIntOrLong function in rational.py. * add LUDecomposition method to Matrix in matrix.py. * now you can factor a very big but very smooth integer by trial division. * speed up real.log, and it now accepts float. * fix bugs in rational.py, integerResidueClass.py, etc.. Version 0.0.0 to 0.0.1 ---------------------- * add __long__ and __int__ methods to Rational in rational.py. * add gcd method to PolynomialRing in polynomial.py. * fix bugs in matrix.py, polynomial.py.
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