curve_gfp.h

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/*
* Elliptic curves over GF(p)
*
* (C) 2007 Martin Doering, Christoph Ludwig, Falko Strenzke
*     2010-2011,2012,2014 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
 
#ifndef BOTAN_GFP_CURVE_H_
#define BOTAN_GFP_CURVE_H_
 
#include <botan/bigint.h>
#include <memory>
 
// Currently exposed in EC_Point
//BOTAN_FUTURE_INTERNAL_HEADER(curve_gfp.h)
 
namespace Botan {
 
class BOTAN_UNSTABLE_API CurveGFp_Repr {
   public:
      virtual ~CurveGFp_Repr() = default;
 
      friend class CurveGFp;
 
   protected:
      virtual const BigInt& get_p() const = 0;
      virtual const BigInt& get_a() const = 0;
      virtual const BigInt& get_b() const = 0;
 
      size_t get_p_words() const {
         const size_t W_bits = sizeof(word) * 8;
         return (get_p_bits() + W_bits - 1) / W_bits;
      }
 
      virtual size_t get_p_bits() const = 0;
 
      virtual size_t get_ws_size() const = 0;
 
      virtual bool is_one(const BigInt& x) const = 0;
 
      virtual bool a_is_zero() const = 0;
 
      virtual bool a_is_minus_3() const = 0;
 
      /*
      * Returns to_curve_rep(get_a())
      */
      virtual const BigInt& get_a_rep() const = 0;
 
      /*
      * Returns to_curve_rep(get_b())
      */
      virtual const BigInt& get_b_rep() const = 0;
 
      /*
      * Returns to_curve_rep(1)
      */
      virtual const BigInt& get_1_rep() const = 0;
 
      virtual BigInt invert_element(const BigInt& x, secure_vector<word>& ws) const = 0;
 
      virtual void to_curve_rep(BigInt& x, secure_vector<word>& ws) const = 0;
 
      virtual void from_curve_rep(BigInt& x, secure_vector<word>& ws) const = 0;
 
      void curve_mul(BigInt& z, const BigInt& x, const BigInt& y, secure_vector<word>& ws) const {
         BOTAN_DEBUG_ASSERT(x.sig_words() <= get_p_words());
         curve_mul_words(z, x._data(), x.size(), y, ws);
      }
 
      virtual void curve_mul_words(
         BigInt& z, const word x_words[], size_t x_size, const BigInt& y, secure_vector<word>& ws) const = 0;
 
      void curve_sqr(BigInt& z, const BigInt& x, secure_vector<word>& ws) const {
         BOTAN_DEBUG_ASSERT(x.sig_words() <= get_p_words());
         curve_sqr_words(z, x._data(), x.size(), ws);
      }
 
      virtual void curve_sqr_words(BigInt& z, const word x_words[], size_t x_size, secure_vector<word>& ws) const = 0;
};
 
/**
* This class represents an elliptic curve over GF(p)
*
* There should not be any reason for applications to use this type.
* If you need EC primitives use the interfaces EC_Group and EC_Point
*
* It is likely this class will be removed entirely in a future major
* release.
*/
class BOTAN_UNSTABLE_API CurveGFp final {
   public:
      /**
      * @return curve coefficient a
      */
      const BigInt& get_a() const { return m_repr->get_a(); }
 
      /**
      * @return curve coefficient b
      */
      const BigInt& get_b() const { return m_repr->get_b(); }
 
      /**
      * Get prime modulus of the field of the curve
      * @return prime modulus of the field of the curve
      */
      const BigInt& get_p() const { return m_repr->get_p(); }
 
   private:
      friend class EC_Point;
      friend class EC_Group;
      friend class EC_Group_Data;
      friend class EC_Point_Base_Point_Precompute;
      friend class EC_Point_Var_Point_Precompute;
 
      /**
      * Create an uninitialized CurveGFp
      */
      CurveGFp() = default;
 
      /**
      * Construct the elliptic curve E: y^2 = x^3 + ax + b over GF(p)
      * @param p prime number of the field
      * @param a first coefficient
      * @param b second coefficient
      */
      CurveGFp(const BigInt& p, const BigInt& a, const BigInt& b) : m_repr(choose_repr(p, a, b)) {}
 
      CurveGFp(const CurveGFp&) = default;
 
      CurveGFp& operator=(const CurveGFp&) = default;
 
      size_t get_p_words() const { return m_repr->get_p_words(); }
 
      size_t get_p_bits() const { return m_repr->get_p_bits(); }
 
      size_t get_p_bytes() const { return (get_p_bits() + 7) / 8; }
 
      size_t get_ws_size() const { return m_repr->get_ws_size(); }
 
      const BigInt& get_a_rep() const { return m_repr->get_a_rep(); }
 
      const BigInt& get_b_rep() const { return m_repr->get_b_rep(); }
 
      const BigInt& get_1_rep() const { return m_repr->get_1_rep(); }
 
      bool a_is_minus_3() const { return m_repr->a_is_minus_3(); }
 
      bool a_is_zero() const { return m_repr->a_is_zero(); }
 
      bool is_one(const BigInt& x) const { return m_repr->is_one(x); }
 
      BigInt invert_element(const BigInt& x, secure_vector<word>& ws) const { return m_repr->invert_element(x, ws); }
 
      void to_rep(BigInt& x, secure_vector<word>& ws) const { m_repr->to_curve_rep(x, ws); }
 
      void from_rep(BigInt& x, secure_vector<word>& ws) const { m_repr->from_curve_rep(x, ws); }
 
      BigInt from_rep_to_tmp(const BigInt& x, secure_vector<word>& ws) const {
         BigInt xt(x);
         m_repr->from_curve_rep(xt, ws);
         return xt;
      }
 
      // TODO: from_rep taking && ref
 
      void mul(BigInt& z, const BigInt& x, const BigInt& y, secure_vector<word>& ws) const {
         m_repr->curve_mul(z, x, y, ws);
      }
 
      void mul(BigInt& z, const word x_w[], size_t x_size, const BigInt& y, secure_vector<word>& ws) const {
         m_repr->curve_mul_words(z, x_w, x_size, y, ws);
      }
 
      void sqr(BigInt& z, const BigInt& x, secure_vector<word>& ws) const { m_repr->curve_sqr(z, x, ws); }
 
      void sqr(BigInt& z, const word x_w[], size_t x_size, secure_vector<word>& ws) const {
         m_repr->curve_sqr_words(z, x_w, x_size, ws);
      }
 
      BigInt mul(const BigInt& x, const BigInt& y, secure_vector<word>& ws) const { return mul_to_tmp(x, y, ws); }
 
      BigInt sqr(const BigInt& x, secure_vector<word>& ws) const { return sqr_to_tmp(x, ws); }
 
      BigInt mul_to_tmp(const BigInt& x, const BigInt& y, secure_vector<word>& ws) const {
         BigInt z;
         m_repr->curve_mul(z, x, y, ws);
         return z;
      }
 
      BigInt sqr_to_tmp(const BigInt& x, secure_vector<word>& ws) const {
         BigInt z;
         m_repr->curve_sqr(z, x, ws);
         return z;
      }
 
      void swap(CurveGFp& other) { std::swap(m_repr, other.m_repr); }
 
      friend void swap(CurveGFp& x, CurveGFp& y) { x.swap(y); }
 
      /**
      * Equality operator
      * @param other a curve
      * @return true iff *this is the same as other
      */
      inline bool operator==(const CurveGFp& other) const {
         if(m_repr.get() == other.m_repr.get()) {
            return true;
         }
 
         return (get_p() == other.get_p()) && (get_a() == other.get_a()) && (get_b() == other.get_b());
      }
 
      inline bool operator!=(const CurveGFp& other) const = default;
 
   private:
      static std::shared_ptr<CurveGFp_Repr> choose_repr(const BigInt& p, const BigInt& a, const BigInt& b);
 
      std::shared_ptr<CurveGFp_Repr> m_repr;
};
 
}  // namespace Botan
 
#endif