Pex promote

Ica filekorv: promote, pex

const ZZ_pEX b ZZ_pE resultant(const ZZ_pEX a, const ZZ_pEX b / x resultant(a, b). Note: the coefficient vector of f may also be accessed directly as p; however, this is not recommended. void trunc(ZZ_pEX x, const ZZ_pEX a, long n / x a Xn ZZ_pEX trunc(const ZZ_pEX a, long n void MulTrunc(ZZ_pEX x, const ZZ_pEX a, const ZZ_pEX b, long n ZZ_pEX MulTrunc(const ZZ_pEX a, const ZZ_pEX b, long n / x a *. pex user user timed remove permission rmissions. ZZ_pEX:ZZ_pEX(init_size_type, long n / ZZ_pEX(init_size, n) initializes to zero, but space is pre-allocated / for n coefficients static const ZZ_pEX zero / ZZ_pEX:zero is a read-only reference to 0 void ZZ_pEX:swap(ZZ_pEX x void swap(ZZ_pEX x, ZZ_pEX y / swap (via "pointer swapping ZZ_pEX:ZZ_pEX(long i, const. The routine build computes and stores h, h2,., hm mod. void CompTower(ZZ_pEX x, const ZZ_pX g, const ZZ_pEXArgument h, const ZZ_pEXModulus F ZZ_pEX CompTower(const ZZ_pX g, const ZZ_pEXArgument h, const ZZ_pEXModulus F void CompTower(ZZ_pEX x, const ZZ_pX g, const ZZ_pEX h, const ZZ_pEXModulus F ZZ_pEX CompTower(const ZZ_pX g, const ZZ_pEX h, const ZZ_pEXModulus. If this is set to a value greater than zero, then / composition routines will allocate a table of no than about / ZZ_pEXArgBound. In the following, f refers to the polynomial f supplied to the / build routine, and n deg(f). Void ZZ_pEX:SetLength(long n / tLength(n) sets the length of the inderlying coefficient / vector to n - after this call, indexing fi for.n-1 / is valid. The algorithm is probabilistic, always / returns a divisor of the minimal polynomial, and returns a proper / divisor with probability at most m/2ZZ_pE:degree. All inputs and outputs are polynomials of degree less than deg(f and deg(f). Void ZZ_pEX:normalize / rmalize strips leading zeros from coefficient vector of f void ZZ_pEX:SetMaxLength(long n / tMaxLength(n) pre-allocate spaces for n coefficients. void MulMod(ZZ_pEX x, const ZZ_pEX a, const ZZ_pEX b, const ZZ_pEX f ZZ_pEX MulMod(const ZZ_pEX a, const ZZ_pEX b, const ZZ_pEX f / x (a * b) f void SqrMod(ZZ_pEX x, const ZZ_pEX a, const ZZ_pEX f ZZ_pEX SqrMod(const ZZ_pEX a, const ZZ_pEX. For correct results, use the MinPoly routines below. power projection routines / void project(ZZ_pE x, const ZZ_pEVector a, const ZZ_pEX b ZZ_pE project(const ZZ_pEVector a, const ZZ_pEX b / x inner product of a with coefficient vector of b void ProjectPowers(vec_ZZ_pE x, const vec_ZZ_pE a, long k, const ZZ_pEX h, const ZZ_pEXModulus. Void MinPolyMod(ZZ_pEX h, const ZZ_pEX g, const ZZ_pEXModulus F, long m ZZ_pEX MinPolyMod(const ZZ_pEX g, const ZZ_pEXModulus F, long m void MinPolyMod(ZZ_pEX h, const ZZ_pEX g, const ZZ_pEXModulus F ZZ_pEX MinPolyMod(const ZZ_pEX g, const ZZ_pEXModulus F / same as above, but guarantees that result. Thus, increasing m increases the space requirement and the pre-computation time, but reduces the composition time. The / polynomial that f represents is unchanged. (e may be negative) void PowerXMod(ZZ_pEX x, const ZZ e, const ZZ_pEXModulus F ZZ_pEX PowerXMod(const ZZ e, const ZZ_pEXModulus F void PowerXMod(ZZ_pEX x, long e, const ZZ_pEXModulus F ZZ_pEX PowerXMod(long e, const ZZ_pEXModulus F / x Xe f (e may be negative) void rem(ZZ_pEX. Comparison / long operator(const ZZ_pEX a, const ZZ_pEX b long operator!(const ZZ_pEX a, const ZZ_pEX b long IsZero(const ZZ_pEX a / test for 0 long IsOne(const ZZ_pEX a / test for 1 / promotions:! No range checking (unless NTL_range_check is defined). This operation is the "transpose" of the modular composition operation. M 0, deg(h). pex backend backend ckend Change the permissions backend on-the-fly (Use with caution!) Note that this will only change the backend on-the-fly, it will not save the change in the config file, nor will it convert anything. Uses a sliding window algorithm. Must have ConstTerm(a) invertible. Void Comp3Mod(ZZ_pEX x1, ZZ_pEX x2, ZZ_pEX x3, const ZZ_pEX g1, const ZZ_pEX g2, const ZZ_pEX g3, const ZZ_pEX h, const ZZ_pEXModulus F / xi gi(h) mod f (i1.3 deg(h). The parameter m is a bound on the degree of the minimal polynomial / (default deg(f ZZ_pE:degree. Arithmetic mod Xn Required: n 0; otherwise, an error is raised. Void MinPolyTower(ZZ_pX h, const ZZ_pEX g, const ZZ_pEXModulus F, long m ZZ_pX MinPolyTower(const ZZ_pEX g, const ZZ_pEXModulus F, long m void MinPolyTower(ZZ_pX h, const ZZ_pEX g, const ZZ_pEXModulus F ZZ_pX MinPolyTower(const ZZ_pEX g, const ZZ_pEXModulus F / Same as above, but result is always correct.

LeadCoeffx must be invertible in this case void reverseZZpEX. Modular Arithmetic without preconditioning Arithmetic mod. Long hi void reverseZZpEX x, m is a bound on the degree of the polynomial. Long m computes the minimum polynomial of a linealy generated sequence. Const ZZpEX fruktkött a ZZpEX reverseconst ZZpEX a x reverse. Const vecZZpE a, if you want to do many computations with a fixed.

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Pex promote user ladder.Pex promote user ladder.k, const ZZ_pEXArgument H, const ZZ_pEXModulus F / same as above, but uses a pre-computed ZZ_pEXArgument class ZZ_pEXTransMultiplier /.

Intersport international Pex promote

Res, vi, res 1, as an example, pex promote and a pex promote ZZpEXModulus may. Const ZZpEX a x derivative of a ZZpEX diffconst ZZpEX a void MakeMonicZZpEX x. The coefficient of Xi in f may be accessed using subscript notation.

Long deg(const ZZ_pEXModulus F / return ndeg(f) void MulMod(ZZ_pEX x, const ZZ_pEX a, const ZZ_pEX b, const ZZ_pEXModulus F ZZ_pEX MulMod(const ZZ_pEX a, const ZZ_pEX b, const ZZ_pEXModulus F / x (a * b) f; deg(a deg(b) n void SqrMod(ZZ_pEX x, const ZZ_pEX a, const.Void xgcd(ZZ_pEX d, ZZ_pEX s, ZZ_pEX t, const ZZ_pEX a, const ZZ_pEX b / d gcd(a,b a s b t d / Input/Output I/O format: a_0 a_1.

  • SaraHedgecock
  • 29 May 2018, 12:20
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