C++ PointGFp::get_curve方法代码示例

PointGFp multi_exponentiate(const PointGFp& p1, const BigInt& z1,
                            const PointGFp& p2, const BigInt& z2)
   {
   const PointGFp p3 = p1 + p2;

   PointGFp H(p1.get_curve()); // create as zero
   size_t bits_left = std::max(z1.bits(), z2.bits());

   std::vector<BigInt> ws(9);

   while(bits_left)
      {
      H.mult2(ws);

      const bool z1_b = z1.get_bit(bits_left - 1);
      const bool z2_b = z2.get_bit(bits_left - 1);

      if(z1_b == true && z2_b == true)
         H.add(p3, ws);
      else if(z1_b)
         H.add(p1, ws);
      else if(z2_b)
         H.add(p2, ws);

      --bits_left;
      }

   if(z1.is_negative() != z2.is_negative())
      H.negate();

   return H;
   }

bool PointGFp::operator==(const PointGFp& other) const
   {
   if(get_curve() != other.get_curve())
      return false;

   // If this is zero, only equal if other is also zero
   if(is_zero())
      return other.is_zero();

   return (get_affine_x() == other.get_affine_x() &&
           get_affine_y() == other.get_affine_y());
   }

// encoding and decoding
secure_vector<uint8_t> EC2OSP(const PointGFp& point, uint8_t format)
   {
   if(point.is_zero())
      return secure_vector<uint8_t>(1); // single 0 byte

   const size_t p_bytes = point.get_curve().get_p().bytes();

   BigInt x = point.get_affine_x();
   BigInt y = point.get_affine_y();

   secure_vector<uint8_t> bX = BigInt::encode_1363(x, p_bytes);
   secure_vector<uint8_t> bY = BigInt::encode_1363(y, p_bytes);

   if(format == PointGFp::UNCOMPRESSED)
      {
      secure_vector<uint8_t> result;
      result.push_back(0x04);

      result += bX;
      result += bY;

      return result;
      }
   else if(format == PointGFp::COMPRESSED)
      {
      secure_vector<uint8_t> result;
      result.push_back(0x02 | static_cast<uint8_t>(y.get_bit(0)));

      result += bX;

      return result;
      }
   else if(format == PointGFp::HYBRID)
      {
      secure_vector<uint8_t> result;
      result.push_back(0x06 | static_cast<uint8_t>(y.get_bit(0)));

      result += bX;
      result += bY;

      return result;
      }
   else
      throw Invalid_Argument("EC2OSP illegal point encoding");
   }

PointGFp operator*(const BigInt& scalar, const PointGFp& point)
   {
   //BOTAN_ASSERT(point.on_the_curve(), "Input is on the curve");

   const CurveGFp& curve = point.get_curve();

   const size_t scalar_bits = scalar.bits();

   std::vector<BigInt> ws(9);

   if(scalar_bits <= 2)
      {
      const byte abs_val = scalar.byte_at(0);

      if(abs_val == 0)
         return PointGFp::zero_of(curve);

      PointGFp result = point;

      if(abs_val == 2)
         result.mult2(ws);

      if(scalar.is_negative())
         result.negate();

      return result;
      }

   PointGFp R[2] = { PointGFp(curve), point };

   for(size_t i = scalar_bits; i > 0; i--)
      {
      const size_t b = scalar.get_bit(i - 1);
      R[b ^ 1].add(R[b], ws);
      R[b].mult2(ws);
      }

   if(scalar.is_negative())
      R[0].negate();

   //BOTAN_ASSERT(R[0].on_the_curve(), "Output is on the curve");

   return R[0];
   }

Blinded_Point_Multiply::Blinded_Point_Multiply(const PointGFp& base, const BigInt& order, size_t h) :
   m_h(h > 0 ? h : 4), m_order(order), m_ws(9)
   {
   // Upper bound is a sanity check rather than hard limit
   if(m_h < 1 || m_h > 8)
      throw std::invalid_argument("Blinded_Point_Multiply invalid h param");

   const CurveGFp& curve = base.get_curve();

#if BOTAN_POINTGFP_BLINDED_MULTIPLY_USE_MONTGOMERY_LADDER

   const PointGFp inv = -base;

   m_U.resize(6*m_h + 3);

   m_U[3*m_h+0] = inv;
   m_U[3*m_h+1] = PointGFp::zero_of(curve);
   m_U[3*m_h+2] = base;

   for(size_t i = 1; i <= 3 * m_h + 1; ++i)
      {
      m_U[3*m_h+1+i] = m_U[3*m_h+i];
      m_U[3*m_h+1+i].add(base, m_ws);

      m_U[3*m_h+1-i] = m_U[3*m_h+2-i];
      m_U[3*m_h+1-i].add(inv, m_ws);
      }
#else
   m_U.resize(1 << m_h);
   m_U[0] = PointGFp::zero_of(curve);
   m_U[1] = base;

   for(size_t i = 2; i < m_U.size(); ++i)
      {
      m_U[i] = m_U[i-1];
      m_U[i].add(base, m_ws);
      }
#endif
   }

PointGFp operator*(const BigInt& scalar, const PointGFp& point)
   {
   const CurveGFp& curve = point.get_curve();

   if(scalar.is_zero())
      return PointGFp(curve); // zero point

   std::vector<BigInt> ws(9);

   if(scalar.abs() <= 2) // special cases for small values
      {
      byte value = scalar.abs().byte_at(0);

      PointGFp result = point;

      if(value == 2)
         result.mult2(ws);

      if(scalar.is_negative())
         result.negate();

      return result;
      }

   const size_t scalar_bits = scalar.bits();

#if 0

   PointGFp x1 = PointGFp(curve);
   PointGFp x2 = point;

   size_t bits_left = scalar_bits;

   // Montgomery Ladder
   while(bits_left)
      {
      const bool bit_set = scalar.get_bit(bits_left - 1);

      if(bit_set)
         {
         x1.add(x2, ws);
         x2.mult2(ws);
         }
      else
         {
         x2.add(x1, ws);
         x1.mult2(ws);
         }

      --bits_left;
      }

   if(scalar.is_negative())
      x1.negate();

   return x1;

#else
   const size_t window_size = 4;

   std::vector<PointGFp> Ps(1 << window_size);
   Ps[0] = PointGFp(curve);
   Ps[1] = point;

   for(size_t i = 2; i != Ps.size(); ++i)
      {
      Ps[i] = Ps[i-1];
      Ps[i].add(point, ws);
      }

   PointGFp H(curve); // create as zero
   size_t bits_left = scalar_bits;

   while(bits_left >= window_size)
      {
      for(size_t i = 0; i != window_size; ++i)
         H.mult2(ws);

      const u32bit nibble = scalar.get_substring(bits_left - window_size,
                                                 window_size);

      H.add(Ps[nibble], ws);

      bits_left -= window_size;
      }

   while(bits_left)
      {
      H.mult2(ws);
      if(scalar.get_bit(bits_left-1))
         H.add(point, ws);

      --bits_left;
      }

   if(scalar.is_negative())
      H.negate();

   return H;
#endif
//.........这里部分代码省略.........