I2P: End-to-End encrypted and anonymous Internet https://i2pd.website/
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#ifndef ED25519_H__
#define ED25519_H__
#include <memory>
#include <openssl/bn.h>
#include "Crypto.h"
namespace i2p
{
namespace crypto
{
struct EDDSAPoint
{
BIGNUM * x {nullptr};
BIGNUM * y {nullptr};
BIGNUM * z {nullptr};
BIGNUM * t {nullptr}; // projective coordinates
EDDSAPoint () {}
EDDSAPoint (const EDDSAPoint& other) { *this = other; }
EDDSAPoint (EDDSAPoint&& other) { *this = std::move (other); }
EDDSAPoint (BIGNUM * x1, BIGNUM * y1, BIGNUM * z1 = nullptr, BIGNUM * t1 = nullptr)
: x(x1)
, y(y1)
, z(z1)
, t(t1)
{}
~EDDSAPoint () { BN_free (x); BN_free (y); BN_free(z); BN_free(t); }
EDDSAPoint& operator=(EDDSAPoint&& other)
{
if (this != &other)
{
BN_free (x); x = other.x; other.x = nullptr;
BN_free (y); y = other.y; other.y = nullptr;
BN_free (z); z = other.z; other.z = nullptr;
BN_free (t); t = other.t; other.t = nullptr;
}
return *this;
}
EDDSAPoint& operator=(const EDDSAPoint& other)
{
if (this != &other)
{
BN_free (x); x = other.x ? BN_dup (other.x) : nullptr;
BN_free (y); y = other.y ? BN_dup (other.y) : nullptr;
BN_free (z); z = other.z ? BN_dup (other.z) : nullptr;
BN_free (t); t = other.t ? BN_dup (other.t) : nullptr;
}
return *this;
}
EDDSAPoint operator-() const
{
BIGNUM * x1 = NULL, * y1 = NULL, * z1 = NULL, * t1 = NULL;
if (x) { x1 = BN_dup (x); BN_set_negative (x1, !BN_is_negative (x)); };
if (y) y1 = BN_dup (y);
if (z) z1 = BN_dup (z);
if (t) { t1 = BN_dup (t); BN_set_negative (t1, !BN_is_negative (t)); };
return EDDSAPoint {x1, y1, z1, t1};
}
};
const size_t EDDSA25519_PUBLIC_KEY_LENGTH = 32;
const size_t EDDSA25519_SIGNATURE_LENGTH = 64;
const size_t EDDSA25519_PRIVATE_KEY_LENGTH = 32;
class Ed25519
{
public:
Ed25519 ();
Ed25519 (const Ed25519& other);
~Ed25519 ();
EDDSAPoint GeneratePublicKey (const uint8_t * expandedPrivateKey, BN_CTX * ctx) const;
EDDSAPoint DecodePublicKey (const uint8_t * buf, BN_CTX * ctx) const;
void EncodePublicKey (const EDDSAPoint& publicKey, uint8_t * buf, BN_CTX * ctx) const;
#if !OPENSSL_X25519
void ScalarMul (const uint8_t * p, const uint8_t * e, uint8_t * buf, BN_CTX * ctx) const; // p is point, e is number for x25519
void ScalarMulB (const uint8_t * e, uint8_t * buf, BN_CTX * ctx) const;
#endif
void BlindPublicKey (const uint8_t * pub, const uint8_t * seed, uint8_t * blinded); // for encrypted LeaseSet2, pub - 32, seed - 64, blinded - 32
bool Verify (const EDDSAPoint& publicKey, const uint8_t * digest, const uint8_t * signature) const;
void Sign (const uint8_t * expandedPrivateKey, const uint8_t * publicKeyEncoded, const uint8_t * buf, size_t len, uint8_t * signature) const;
7 years ago
static void ExpandPrivateKey (const uint8_t * key, uint8_t * expandedKey); // key - 32 bytes, expandedKey - 64 bytes
private:
EDDSAPoint Sum (const EDDSAPoint& p1, const EDDSAPoint& p2, BN_CTX * ctx) const;
void Double (EDDSAPoint& p, BN_CTX * ctx) const;
EDDSAPoint Mul (const EDDSAPoint& p, const BIGNUM * e, BN_CTX * ctx) const;
EDDSAPoint MulB (const uint8_t * e, BN_CTX * ctx) const; // B*e, e is 32 bytes Little Endian
EDDSAPoint Normalize (const EDDSAPoint& p, BN_CTX * ctx) const;
bool IsOnCurve (const EDDSAPoint& p, BN_CTX * ctx) const;
BIGNUM * RecoverX (const BIGNUM * y, BN_CTX * ctx) const;
EDDSAPoint DecodePoint (const uint8_t * buf, BN_CTX * ctx) const;
void EncodePoint (const EDDSAPoint& p, uint8_t * buf) const;
template<int len>
BIGNUM * DecodeBN (const uint8_t * buf) const;
void EncodeBN (const BIGNUM * bn, uint8_t * buf, size_t len) const;
#if !OPENSSL_X25519
// for x25519
BIGNUM * ScalarMul (const BIGNUM * p, const BIGNUM * e, BN_CTX * ctx) const;
#endif
private:
BIGNUM * q, * l, * d, * I;
// transient values
BIGNUM * two_252_2; // 2^252-2
EDDSAPoint Bi256[32][128]; // per byte, Bi256[i][j] = (256+j+1)^i*B, we don't store zeroes
// if j > 128 we use 256 - j and carry 1 to next byte
// Bi256[0][0] = B, base point
EDDSAPoint Bi256Carry; // Bi256[32][0]
};
std::unique_ptr<Ed25519>& GetEd25519 ();
}
}
#endif