C++ LeadCoeff函数代码示例

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本文整理汇总了C++中LeadCoeff函数的典型用法代码示例。如果您正苦于以下问题：C++ LeadCoeff函数的具体用法？C++ LeadCoeff怎么用？C++ LeadCoeff使用的例子？那么恭喜您, 这里精选的函数代码示例或许可以为您提供帮助。

在下文中一共展示了LeadCoeff函数的20个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于我们的系统推荐出更棒的C++代码示例。

示例1: MakeMonic

void MakeMonic(zz_pX& x)
{
   if (IsZero(x))
      return;

   if (IsOne(LeadCoeff(x)))
      return;

   zz_p t;

   inv(t, LeadCoeff(x));
   mul(x, x, t);
}

开发者ID:av-elier，项目名称:fast-exponentiation-algs，代码行数:13，代码来源:lzz_pX1.c

示例2: CanZass

void CanZass(vec_pair_ZZ_pEX_long& factors, const ZZ_pEX& f, long verbose)
{
   if (!IsOne(LeadCoeff(f)))
      LogicError("CanZass: bad args");

   double t;
   vec_pair_ZZ_pEX_long sfd;
   vec_ZZ_pEX x;

   
   if (verbose) { cerr << "square-free decomposition..."; t = GetTime(); }
   SquareFreeDecomp(sfd, f);
   if (verbose) cerr << (GetTime()-t) << "\n";

   factors.SetLength(0);

   long i, j;

   for (i = 0; i < sfd.length(); i++) {
      if (verbose) {
         cerr << "factoring multiplicity " << sfd[i].b 
              << ", deg = " << deg(sfd[i].a) << "\n";
      }

      SFCanZass(x, sfd[i].a, verbose);

      for (j = 0; j < x.length(); j++)
         append(factors, cons(x[j], sfd[i].b));
   }
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:30，代码来源:ZZ_pEXFactoring.cpp

示例3: FindRoot

void FindRoot(GF2E& root, const GF2EX& ff)
// finds a root of ff.
// assumes that ff is monic and splits into distinct linear factors

{
   GF2EXModulus F;
   GF2EX h, h1, f;
   GF2E r;

   f = ff;
   
   if (!IsOne(LeadCoeff(f)))
      Error("FindRoot: bad args");

   if (deg(f) == 0)
      Error("FindRoot: bad args");


   while (deg(f) > 1) {
      build(F, f);
      random(r);
      clear(h);
      SetCoeff(h, 1, r);
      TraceMap(h, h, F);
      GCD(h, h, f);
      if (deg(h) > 0 && deg(h) < deg(f)) {
         if (deg(h) > deg(f)/2)
            div(f, f, h);
         else
            f = h;
      }
   }
 
   root = ConstTerm(f);
}

开发者ID:shayne-fletcher，项目名称:cppf，代码行数:35，代码来源:GF2EXFactoring.cpp

示例4: SquareFreeDecomp

NTL_START_IMPL





void SquareFreeDecomp(vec_pair_ZZ_pX_long& u, const ZZ_pX& ff)
{
   ZZ_pX f = ff;

   if (!IsOne(LeadCoeff(f)))
      Error("SquareFreeDecomp: bad args");

   ZZ_pX r, t, v, tmp1;
   long m, j, finished, done;

   u.SetLength(0);

   if (deg(f) == 0)
      return;

   m = 1;
   finished = 0;

   do {
      j = 1;
      diff(tmp1, f);
      GCD(r, f, tmp1);
      div(t, f, r);

      if (deg(t) > 0) {
         done = 0;
         do {
            GCD(v, r, t);
            div(tmp1, t, v);
            if (deg(tmp1) > 0) append(u, cons(tmp1, j*m));
            if (deg(v) > 0) {
               div(r, r, v);
               t = v;
               j++;
            }
            else
               done = 1;
         } while (!done);
         if (deg(r) == 0) finished = 1;
      }

      if (!finished) {
         /* r is a p-th power */
         long p, k, d;
         conv(p, ZZ_p::modulus());
         d = deg(r)/p;
         f.rep.SetLength(d+1);
         for (k = 0; k <= d; k++) 
            f.rep[k] = r.rep[k*p];
         m = m*p;
      }
   } while (!finished);
}

开发者ID:JamesHirschorn，项目名称:QFCL，代码行数:59，代码来源:ZZ_pXFactoring.cpp

示例5: XGCD

void XGCD(zz_pX& d, zz_pX& s, zz_pX& t, const zz_pX& a, const zz_pX& b)
{
   zz_p w;

   if (IsZero(a) && IsZero(b)) {
      clear(d);
      set(s);
      clear(t);
      return;
   }

   zz_pX U, V, Q;

   U = a;
   V = b;

   long flag = 0;

   if (deg(U) == deg(V)) {
      DivRem(Q, U, U, V);
      swap(U, V);
      flag = 1;
   }
   else if (deg(U) < deg(V)) {
      swap(U, V);
      flag = 2;
   }

   zz_pXMatrix M;

   XHalfGCD(M, U, V, deg(U)+1);

   d = U;

   if (flag == 0) {
      s = M(0,0); 
      t = M(0,1);
   }
   else if (flag == 1) {
      s = M(0,1);
      mul(t, Q, M(0,1));
      sub(t, M(0,0), t);
   }
   else {  /* flag == 2 */
      s = M(0,1);
      t = M(0,0);
   }

   // normalize

   inv(w, LeadCoeff(d));
   mul(d, d, w);
   mul(s, s, w);
   mul(t, t, w);
}

开发者ID:av-elier，项目名称:fast-exponentiation-algs，代码行数:55，代码来源:lzz_pX1.c

示例6: FindRoots

void FindRoots(vec_GF2E& x, const GF2EX& ff)
{
   GF2EX f = ff;

   if (!IsOne(LeadCoeff(f)))
      Error("FindRoots: bad args");

   x.SetMaxLength(deg(f));
   x.SetLength(0);
   RecFindRoots(x, f);
}

开发者ID:shayne-fletcher，项目名称:cppf，代码行数:11，代码来源:GF2EXFactoring.cpp

示例7: FindRoots

void FindRoots(vec_ZZ_pE& x, const ZZ_pEX& ff)
{
   ZZ_pEX f = ff;

   if (!IsOne(LeadCoeff(f)))
      LogicError("FindRoots: bad args");

   x.SetMaxLength(deg(f));
   x.SetLength(0);
   RecFindRoots(x, f);
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:11，代码来源:ZZ_pEXFactoring.cpp

示例8: SquareFreeDecomp

void SquareFreeDecomp(vec_pair_GF2EX_long& u, const GF2EX& ff)
{
   GF2EX f = ff;

   if (!IsOne(LeadCoeff(f)))
      Error("SquareFreeDecomp: bad args");

   GF2EX r, t, v, tmp1;
   long m, j, finished, done;

   u.SetLength(0);

   if (deg(f) == 0)
      return;

   m = 1;
   finished = 0;

   do {
      j = 1;
      diff(tmp1, f);
      GCD(r, f, tmp1);
      div(t, f, r);

      if (deg(t) > 0) {
         done = 0;
         do {
            GCD(v, r, t);
            div(tmp1, t, v);
            if (deg(tmp1) > 0) append(u, cons(tmp1, j*m));
            if (deg(v) > 0) {
               div(r, r, v);
               t = v;
               j++;
            }
            else
               done = 1;
         } while (!done);
         if (deg(r) == 0) finished = 1;
      }

      if (!finished) {
         /* r is a square */

         long k, d;
         d = deg(r)/2;
         f.rep.SetLength(d+1);
         for (k = 0; k <= d; k++) 
            IterSqr(f.rep[k], r.rep[k*2], GF2E::degree()-1);
         m = m*2;
      }
   } while (!finished);
}

开发者ID:shayne-fletcher，项目名称:cppf，代码行数:53，代码来源:GF2EXFactoring.cpp

示例9: ModComp

void ModComp(ZZX& res, const ZZX& g, const ZZX& h, const ZZX& f)
{
  assert(LeadCoeff(f) == 1);

  ZZX hh = h % f;
  ZZX r = to_ZZX(0);

  for (long i = deg(g); i >= 0; i--) 
    r = (r*hh + coeff(g, i)) % f; 

  res = r;
}

开发者ID:deepinit-arek，项目名称:HElib，代码行数:12，代码来源:NumbTh.cpp

示例10: NormMod

void NormMod(zz_p& x, const zz_pX& a, const zz_pX& f)
{
   if (deg(f) <= 0 || deg(a) >= deg(f)) 
      Error("norm: bad args");

   if (IsZero(a)) {
      clear(x);
      return;
   }

   zz_p t;
   resultant(t, f, a);
   if (!IsOne(LeadCoeff(f))) {
      zz_p t1;
      power(t1, LeadCoeff(f), deg(a));
      inv(t1, t1);
      mul(t, t, t1);
   }

   x = t;
}

开发者ID:av-elier，项目名称:fast-exponentiation-algs，代码行数:21，代码来源:lzz_pX1.c

示例11: PlainResultant

void PlainResultant(ZZ_p& rres, const ZZ_pX& a, const ZZ_pX& b)
{
   ZZ_p res;
 
   if (IsZero(a) || IsZero(b))
      clear(res);
   else if (deg(a) == 0 && deg(b) == 0) 
      set(res);
   else {
      long d0, d1, d2;
      ZZ_p lc;
      set(res);

      long n = max(deg(a),deg(b)) + 1;
      ZZ_pX u(INIT_SIZE, n), v(INIT_SIZE, n);
      ZZVec tmp(n, ZZ_p::ExtendedModulusSize());

      u = a;
      v = b;

      for (;;) {
         d0 = deg(u);
         d1 = deg(v);
         lc = LeadCoeff(v);

         PlainRem(u, u, v, tmp);
         swap(u, v);

         d2 = deg(v);
         if (d2 >= 0) {
            power(lc, lc, d0-d2);
            mul(res, res, lc);
            if (d0 & d1 & 1) negate(res, res);
         }
         else {
            if (d1 == 0) {
               power(lc, lc, d0);
               mul(res, res, lc);
            }
            else
               clear(res);
        
            break;
         }
      }
   }

   rres = res;
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:49，代码来源:ZZ_pX1.cpp

示例12: to_ulong

unsigned long to_ulong(const zz_pX& x)
{
    unsigned long  u;
    int     i;
    static zz_p    c;

    c = LeadCoeff(x);
    static long p;
    p = c.modulus();
    for (u = 0, i = deg(x); i >= 0; i--) {
	GetCoeff(c, x,i);
	u = u * p + rep(c);
    }

    return u;
}

开发者ID:Alwnikrotikz，项目名称:purplesage，代码行数:16，代码来源:helper.cpp

示例13: ResHalfGCD

void ResHalfGCD(zz_pX& U, zz_pX& V, vec_zz_p& cvec, vec_long& dvec)
{
   long d_red = (deg(U)+1)/2;

   if (IsZero(V) || deg(V) <= deg(U) - d_red) {
      return;
   }

   long du = deg(U);


   long d1 = (d_red + 1)/2;
   if (d1 < 1) d1 = 1;
   if (d1 >= d_red) d1 = d_red - 1;

   zz_pXMatrix M1;

   ResHalfGCD(M1, U, V, d1, cvec, dvec);
   mul(U, V, M1);

   long d2 = deg(V) - du + d_red;

   if (IsZero(V) || d2 <= 0) {
      return;
   }

   M1(0,0).kill();
   M1(0,1).kill();
   M1(1,0).kill();
   M1(1,1).kill();


   zz_pX Q;

   append(cvec, LeadCoeff(V));
   append(dvec, dvec[dvec.length()-1]-deg(U)+deg(V));
   DivRem(Q, U, U, V);
   swap(U, V);

   ResHalfGCD(M1, U, V, d2, cvec, dvec);

   mul(U, V, M1); 
}

开发者ID:av-elier，项目名称:fast-exponentiation-algs，代码行数:43，代码来源:lzz_pX1.c

示例14: EDF

void EDF(vec_ZZ_pEX& factors, const ZZ_pEX& ff, const ZZ_pEX& bb,
         long d, long verbose)

{
   ZZ_pEX f = ff;
   ZZ_pEX b = bb;

   if (!IsOne(LeadCoeff(f)))
      LogicError("EDF: bad args");

   long n = deg(f);
   long r = n/d;

   if (r == 0) {
      factors.SetLength(0);
      return;
   }

   if (r == 1) {
      factors.SetLength(1);
      factors[0] = f;
      return;
   }

   if (d == 1) {
      RootEDF(factors, f, verbose);
      return;
   }

   
   double t;
   if (verbose) { 
      cerr << "computing EDF(" << d << "," << r << ")..."; 
      t = GetTime(); 
   }

   factors.SetLength(0);

   RecEDF(factors, f, b, d, verbose);

   if (verbose) cerr << (GetTime()-t) << "\n";
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:42，代码来源:ZZ_pEXFactoring.cpp

示例15: GCDMinPolySeq

void GCDMinPolySeq(zz_pX& h, const vec_zz_p& x, long m)
{
   long i;
   zz_pX a, b;
   zz_pXMatrix M;
   zz_p t;

   a.rep.SetLength(2*m);
   for (i = 0; i < 2*m; i++) a.rep[i] = x[2*m-1-i];
   a.normalize();

   SetCoeff(b, 2*m);

   HalfGCD(M, b, a, m+1);

   /* make monic */

   inv(t, LeadCoeff(M(1,1)));
   mul(h, M(1,1), t);
}

开发者ID:av-elier，项目名称:fast-exponentiation-algs，代码行数:20，代码来源:lzz_pX1.c

示例16: FindRoot

void FindRoot(ZZ_pE& root, const ZZ_pEX& ff)
// finds a root of ff.
// assumes that ff is monic and splits into distinct linear factors

{
   ZZ_pEXModulus F;
   ZZ_pEX h, h1, f;
   ZZ_pEX r;

   f = ff;
   
   if (!IsOne(LeadCoeff(f)))
      LogicError("FindRoot: bad args");

   if (deg(f) == 0)
      LogicError("FindRoot: bad args");


   while (deg(f) > 1) {
      build(F, f);
      random(r, deg(F));
      if (IsOdd(ZZ_pE::cardinality())) {
         PowerMod(h, r, RightShift(ZZ_pE::cardinality(), 1), F);
         sub(h, h, 1);
      }
      else {
         AbsTraceMap(h, r, F);
      }
      GCD(h, h, f);
      if (deg(h) > 0 && deg(h) < deg(f)) {
         if (deg(h) > deg(f)/2)
            div(f, f, h);
         else
            f = h;
      }
   }
 
   negate(root, ConstTerm(f));
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:39，代码来源:ZZ_pEXFactoring.cpp

示例17: FindRoot

void FindRoot(ZZ_p& root, const ZZ_pX& ff)
// finds a root of ff.
// assumes that ff is monic and splits into distinct linear factors

{
   ZZ_pXModulus F;
   ZZ_pX h, h1, f;
   ZZ_p r;
   ZZ p1;

   f = ff;
   
   if (!IsOne(LeadCoeff(f)))
      Error("FindRoot: bad args");

   if (deg(f) == 0)
      Error("FindRoot: bad args");

   RightShift(p1, ZZ_p::modulus(), 1);
   h1 = 1;

   while (deg(f) > 1) {
      build(F, f);
      random(r);
      PowerXPlusAMod(h, r, p1, F);
      sub(h, h, h1);
      GCD(h, h, f);
      if (deg(h) > 0 && deg(h) < deg(f)) {
         if (deg(h) > deg(f)/2)
            div(f, f, h);
         else
            f = h;
      }
   }

   negate(root, ConstTerm(f));
}

开发者ID:JamesHirschorn，项目名称:QFCL，代码行数:37，代码来源:ZZ_pXFactoring.cpp

示例18: ResIterHalfGCD

void ResIterHalfGCD(ZZ_pXMatrix& M_out, ZZ_pX& U, ZZ_pX& V, long d_red,
                    vec_ZZ_p& cvec, vec_long& dvec)
{
   M_out(0,0).SetMaxLength(d_red);
   M_out(0,1).SetMaxLength(d_red);
   M_out(1,0).SetMaxLength(d_red);
   M_out(1,1).SetMaxLength(d_red);

   set(M_out(0,0));   clear(M_out(0,1));
   clear(M_out(1,0)); set(M_out(1,1));

   long goal = deg(U) - d_red;

   if (deg(V) <= goal)
      return;

   ZZVec tmp(deg(U)+1, ZZ_p::ExtendedModulusSize());
   ZZ_pX Q, t(INIT_SIZE, d_red);


   while (deg(V) > goal) {
      append(cvec, LeadCoeff(V));
      append(dvec, dvec[dvec.length()-1]-deg(U)+deg(V));
      PlainDivRem(Q, U, U, V, tmp);
      swap(U, V);

      mul(t, Q, M_out(1,0));
      sub(t, M_out(0,0), t);
      M_out(0,0) = M_out(1,0);
      M_out(1,0) = t;

      mul(t, Q, M_out(1,1));
      sub(t, M_out(0,1), t);
      M_out(0,1) = M_out(1,1);
      M_out(1,1) = t;
   }
}

开发者ID:Brainloop-Security，项目名称:secret-sharing，代码行数:37，代码来源:ZZ_pX1.cpp

示例19: deg

void divisor::update() {
  bool_t OK = TRUE;

  // Check curve's validity
  OK = OK && s_hcurve.is_valid_curve();

  /* Check if [u, v] belongs to Jacobian of genus 2 curve
   It is so if
   (1) u is monic
   (2) deg(v) < deg(u) <= genus = 2
   (3) u | v^2 + v*h - f
  */

  OK = OK && IsOne( LeadCoeff(upoly) ); // (1)

  OK = OK && ( deg(upoly) <= genus ) && ( deg(vpoly) < deg(upoly) ); // (2)

  OK = OK && IsZero(( vpoly*(vpoly + s_hcurve.get_h()) 
                      - s_hcurve.get_f() ) % upoly ); // (3)

  // Set is_valid flag
  is_valid = OK;

}

开发者ID:syncom，项目名称:libg2hec，代码行数:24，代码来源:divisor.C

示例20: SFBerlekamp

void SFBerlekamp(vec_ZZ_pX& factors, const ZZ_pX& ff, long verbose)
{
   ZZ_pX f = ff;

   if (!IsOne(LeadCoeff(f)))
      Error("SFBerlekamp: bad args");

   if (deg(f) == 0) {
      factors.SetLength(0);
      return;
   }

   if (deg(f) == 1) {
      factors.SetLength(1);
      factors[0] = f;
      return;
   }

   double t;

   const ZZ& p = ZZ_p::modulus();

   long n = deg(f);

   ZZ_pXModulus F;

   build(F, f);

   ZZ_pX g, h;

   if (verbose) { cerr << "computing X^p..."; t = GetTime(); }
   PowerXMod(g, p, F);
   if (verbose) { cerr << (GetTime()-t) << "\n"; }

   vec_long D;
   long r;

   vec_ZZVec M;

   if (verbose) { cerr << "building matrix..."; t = GetTime(); }
   BuildMatrix(M, n, g, F, verbose);
   if (verbose) { cerr << (GetTime()-t) << "\n"; }

   if (verbose) { cerr << "diagonalizing..."; t = GetTime(); }
   NullSpace(r, D, M, verbose);
   if (verbose) { cerr << (GetTime()-t) << "\n"; }


   if (verbose) cerr << "number of factors = " << r << "\n";

   if (r == 1) {
      factors.SetLength(1);
      factors[0] = f;
      return;
   }

   if (verbose) { cerr << "factor extraction..."; t = GetTime(); }

   vec_ZZ_p roots;

   RandomBasisElt(g, D, M);
   MinPolyMod(h, g, F, r);
   if (deg(h) == r) M.kill();
   FindRoots(roots, h);
   FindFactors(factors, f, g, roots);

   ZZ_pX g1;
   vec_ZZ_pX S, S1;
   long i;

   while (factors.length() < r) {
      if (verbose) cerr << "+";
      RandomBasisElt(g, D, M);
      S.kill();
      for (i = 0; i < factors.length(); i++) {
         const ZZ_pX& f = factors[i];
         if (deg(f) == 1) {
            append(S, f);
            continue;
         }
         build(F, f);
         rem(g1, g, F);
         if (deg(g1) <= 0) {
            append(S, f);
            continue;
         }
         MinPolyMod(h, g1, F, min(deg(f), r-factors.length()+1));
         FindRoots(roots, h);
         S1.kill();
         FindFactors(S1, f, g1, roots);
         append(S, S1);
      }
      swap(factors, S);
   }

   if (verbose) { cerr << (GetTime()-t) << "\n"; }

   if (verbose) {
      cerr << "degrees:";
      long i;
//.........这里部分代码省略.........

开发者ID:JamesHirschorn，项目名称:QFCL，代码行数:101，代码来源:ZZ_pXFactoring.cpp

注：本文中的LeadCoeff函数示例由纯净天空整理自Github/MSDocs等源码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。

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C++ LeadCoeff函数代码示例

示例1: MakeMonic

示例2: CanZass

示例3: FindRoot

示例4: SquareFreeDecomp

示例5: XGCD

示例6: FindRoots

示例7: FindRoots

示例8: SquareFreeDecomp

示例9: ModComp

示例10: NormMod

示例11: PlainResultant

示例12: to_ulong

示例13: ResHalfGCD

示例14: EDF

示例15: GCDMinPolySeq

示例16: FindRoot

示例17: FindRoot

示例18: ResIterHalfGCD

示例19: deg

示例20: SFBerlekamp

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