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@@ -49,7 +49,7 @@ namespace decaf { |
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* @brief Ed448-Goldilocks/Decaf instantiation of group. |
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*/ |
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struct Ed448Goldilocks { |
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/** The name of the curve */ |
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static inline const char *name() { return "Ed448-Goldilocks"; } |
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@@ -72,44 +72,53 @@ class Scalar : public Serializable<Scalar> { |
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private: |
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/** @brief wrapped C type */ |
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typedef decaf_448_scalar_t Wrapped; |
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public: |
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/** @brief Size of a serialized element */ |
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static const size_t SER_BYTES = DECAF_448_SCALAR_BYTES; |
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/** @brief access to the underlying scalar object */ |
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Wrapped s; |
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/** @brief Don't initialize. */ |
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inline Scalar(const NOINIT &) NOEXCEPT {} |
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/** @brief Set to an unsigned word */ |
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inline Scalar(const decaf_word_t w) NOEXCEPT { *this = w; } |
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/** @brief Set to a signed word */ |
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inline Scalar(const int w) NOEXCEPT { *this = w; } |
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inline Scalar(const int w) NOEXCEPT { *this = w; } |
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/** @brief Construct from RNG */ |
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inline explicit Scalar(Rng &rng) NOEXCEPT { |
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FixedArrayBuffer<SER_BYTES> sb(rng); |
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*this = sb; |
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} |
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/** @brief Construct from decaf_scalar_t object. */ |
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inline Scalar(const decaf_448_scalar_t &t = decaf_448_scalar_zero) NOEXCEPT { decaf_448_scalar_copy(s,t); } |
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inline Scalar(const Wrapped &t = decaf_448_scalar_zero) NOEXCEPT { decaf_448_scalar_copy(s,t); } |
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/** @brief Copy constructor. */ |
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inline Scalar(const Scalar &x) NOEXCEPT { *this = x; } |
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/** @brief Construct from arbitrary-length little-endian byte sequence. */ |
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inline Scalar(const Block &buffer) NOEXCEPT { *this = buffer; } |
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/** @brief Serializable instance */ |
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inline size_t serSize() const NOEXCEPT { return SER_BYTES; } |
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/** @brief Serializable instance */ |
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inline void serializeInto(unsigned char *buffer) const NOEXCEPT { |
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decaf_448_scalar_encode(buffer, s); |
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} |
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/** @brief Assignment. */ |
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inline Scalar& operator=(const Scalar &x) NOEXCEPT { decaf_448_scalar_copy(s,x.s); return *this; } |
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/** @brief Assign from unsigned word. */ |
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inline Scalar& operator=(decaf_word_t w) NOEXCEPT { decaf_448_scalar_set_unsigned(s,w); return *this; } |
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/** @brief Assign from signed int. */ |
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inline Scalar& operator=(int w) NOEXCEPT { |
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Scalar t(-(decaf_word_t)INT_MIN); |
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@@ -117,15 +126,15 @@ public: |
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*this -= t; |
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return *this; |
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} |
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/** Destructor securely zeorizes the scalar. */ |
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inline ~Scalar() NOEXCEPT { decaf_448_scalar_destroy(s); } |
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/** @brief Assign from arbitrary-length little-endian byte sequence in a Block. */ |
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inline Scalar &operator=(const Block &bl) NOEXCEPT { |
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decaf_448_scalar_decode_long(s,bl.data(),bl.size()); return *this; |
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} |
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/** |
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* @brief Decode from correct-length little-endian byte sequence. |
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* @return DECAF_FAILURE if the scalar is greater than or equal to the group order q. |
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@@ -135,36 +144,28 @@ public: |
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) NOEXCEPT { |
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return decaf_448_scalar_decode(sc.s,buffer.data()); |
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} |
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/** @brief Serializable instance */ |
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inline size_t serSize() const NOEXCEPT { return SER_BYTES; } |
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/** @brief Serializable instance */ |
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inline void serializeInto(unsigned char *buffer) const NOEXCEPT { |
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decaf_448_scalar_encode(buffer, s); |
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} |
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/** Add. */ |
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inline Scalar operator+ (const Scalar &q) const NOEXCEPT { Scalar r((NOINIT())); decaf_448_scalar_add(r.s,s,q.s); return r; } |
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/** Add to this. */ |
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inline Scalar &operator+=(const Scalar &q) NOEXCEPT { decaf_448_scalar_add(s,s,q.s); return *this; } |
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/** Subtract. */ |
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inline Scalar operator- (const Scalar &q) const NOEXCEPT { Scalar r((NOINIT())); decaf_448_scalar_sub(r.s,s,q.s); return r; } |
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/** Subtract from this. */ |
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inline Scalar &operator-=(const Scalar &q) NOEXCEPT { decaf_448_scalar_sub(s,s,q.s); return *this; } |
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/** Multiply */ |
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inline Scalar operator* (const Scalar &q) const NOEXCEPT { Scalar r((NOINIT())); decaf_448_scalar_mul(r.s,s,q.s); return r; } |
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/** Multiply into this. */ |
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inline Scalar &operator*=(const Scalar &q) NOEXCEPT { decaf_448_scalar_mul(s,s,q.s); return *this; } |
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/** Negate */ |
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inline Scalar operator- () const NOEXCEPT { Scalar r((NOINIT())); decaf_448_scalar_sub(r.s,decaf_448_scalar_zero,s); return r; } |
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/** @brief Invert with Fermat's Little Theorem (slow!). If *this == 0, return 0. */ |
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inline Scalar inverse() const throw(CryptoException) { |
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Scalar r; |
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@@ -173,73 +174,69 @@ public: |
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} |
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return r; |
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} |
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/** @brief Divide by inverting q. If q == 0, return 0. */ |
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inline Scalar operator/ (const Scalar &q) const throw(CryptoException) { return *this * q.inverse(); } |
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/** @brief Divide by inverting q. If q == 0, return 0. */ |
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inline Scalar &operator/=(const Scalar &q) throw(CryptoException) { return *this *= q.inverse(); } |
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inline Scalar &operator/=(const Scalar &q) throw(CryptoException) { return *this *= q.inverse(); } |
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/** @brief Compare in constant time */ |
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inline bool operator!=(const Scalar &q) const NOEXCEPT { return !(*this == q); } |
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/** @brief Compare in constant time */ |
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inline bool operator==(const Scalar &q) const NOEXCEPT { return !!decaf_448_scalar_eq(s,q.s); } |
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/** @brief Scalarmul with scalar on left. */ |
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inline Point operator* (const Point &q) const NOEXCEPT { return q * (*this); } |
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/** @brief Scalarmul-precomputed with scalar on left. */ |
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inline Point operator* (const Precomputed &q) const NOEXCEPT { return q * (*this); } |
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/** @brief Direct scalar multiplication. */ |
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inline SecureBuffer direct_scalarmul( |
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const Block &in, |
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decaf_bool_t allow_identity=DECAF_FALSE, |
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decaf_bool_t short_circuit=DECAF_TRUE |
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) const throw(CryptoException) { |
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SecureBuffer out(Point::SER_BYTES); |
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if (DECAF_SUCCESS != |
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decaf_448_direct_scalarmul(out.data(), in.data(), s, allow_identity, short_circuit) |
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) { |
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throw CryptoException(); |
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} |
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return out; |
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} |
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decaf_bool_t short_circuit=DECAF_TRUE |
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) const throw(CryptoException); |
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}; |
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/** |
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* @brief Element of prime-order group. |
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*/ |
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class Point : public Serializable<Point> { |
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private: |
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/** @brief wrapped C type */ |
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typedef decaf_448_point_t Wrapped; |
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public: |
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/** @brief Size of a serialized element */ |
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static const size_t SER_BYTES = DECAF_448_SER_BYTES; |
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/** @brief Size of a stegged element */ |
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static const size_t STEG_BYTES = DECAF_448_SER_BYTES + 8; |
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/** @brief Bytes required for hash */ |
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static const size_t HASH_BYTES = DECAF_448_SER_BYTES; |
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static const size_t HASH_BYTES = SER_BYTES; |
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/** @brief Size of a stegged element */ |
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static const size_t STEG_BYTES = HASH_BYTES * 2; |
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/** The c-level object. */ |
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decaf_448_point_t p; |
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Wrapped p; |
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/** @brief Don't initialize. */ |
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inline Point(const NOINIT &) NOEXCEPT {} |
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/** @brief Constructor sets to identity by default. */ |
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inline Point(const decaf_448_point_t &q = decaf_448_point_identity) NOEXCEPT { decaf_448_point_copy(p,q); } |
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inline Point(const Wrapped &q = decaf_448_point_identity) NOEXCEPT { decaf_448_point_copy(p,q); } |
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/** @brief Copy constructor. */ |
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inline Point(const Point &q) NOEXCEPT { *this = q; } |
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/** @brief Assignment. */ |
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inline Point& operator=(const Point &q) NOEXCEPT { decaf_448_point_copy(p,q.p); return *this; } |
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/** @brief Destructor securely zeorizes the point. */ |
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inline ~Point() NOEXCEPT { decaf_448_point_destroy(p); } |
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/** @brief Construct from RNG */ |
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inline explicit Point(Rng &rng, bool uniform = true) NOEXCEPT { |
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if (uniform) { |
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@@ -250,7 +247,7 @@ public: |
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set_to_hash(b); |
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} |
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} |
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/** |
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* @brief Initialize from a fixed-length byte string. |
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* The all-zero string maps to the identity. |
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@@ -260,9 +257,11 @@ public: |
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*/ |
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inline explicit Point(const FixedBlock<SER_BYTES> &buffer, decaf_bool_t allow_identity=DECAF_TRUE) |
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throw(CryptoException) { |
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if (DECAF_SUCCESS != decode(*this,buffer,allow_identity)) throw CryptoException(); |
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if (DECAF_SUCCESS != decode(*this,buffer,allow_identity)) { |
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throw CryptoException(); |
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} |
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} |
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/** |
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* @brief Initialize from C++ fixed-length byte string. |
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* The all-zero string maps to the identity. |
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@@ -270,13 +269,13 @@ public: |
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* @retval DECAF_SUCCESS the string was successfully decoded. |
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* @return DECAF_FAILURE the string was the wrong length, or wasn't the encoding of a point, |
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* or was the identity and allow_identity was DECAF_FALSE. Contents of the buffer are undefined. |
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*/ |
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*/ |
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static inline decaf_error_t __attribute__((warn_unused_result)) decode ( |
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Point &p, const FixedBlock<SER_BYTES> &buffer, decaf_bool_t allow_identity=DECAF_TRUE |
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) NOEXCEPT { |
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return decaf_448_point_decode(p.p,buffer.data(),allow_identity); |
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} |
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/** |
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* @brief Map uniformly to the curve from a hash buffer. |
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* The empty or all-zero string maps to the identity, as does the string "\x01". |
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@@ -308,66 +307,66 @@ public: |
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decaf_448_point_from_hash_uniform(p,s.data()); |
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} |
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} |
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/** |
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* @brief Encode to string. The identity encodes to the all-zero string. |
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*/ |
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inline operator SecureBuffer() const NOEXCEPT { |
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inline operator SecureBuffer() const { |
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SecureBuffer buffer(SER_BYTES); |
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decaf_448_point_encode(buffer.data(), p); |
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return buffer; |
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} |
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/** @brief Serializable instance */ |
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inline size_t serSize() const NOEXCEPT { return SER_BYTES; } |
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/** @brief Serializable instance */ |
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inline void serializeInto(unsigned char *buffer) const NOEXCEPT { |
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decaf_448_point_encode(buffer, p); |
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} |
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/** @brief Point add. */ |
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inline Point operator+ (const Point &q) const NOEXCEPT { Point r((NOINIT())); decaf_448_point_add(r.p,p,q.p); return r; } |
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/** @brief Point add. */ |
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inline Point &operator+=(const Point &q) NOEXCEPT { decaf_448_point_add(p,p,q.p); return *this; } |
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/** @brief Point subtract. */ |
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inline Point operator- (const Point &q) const NOEXCEPT { Point r((NOINIT())); decaf_448_point_sub(r.p,p,q.p); return r; } |
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/** @brief Point subtract. */ |
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inline Point &operator-=(const Point &q) NOEXCEPT { decaf_448_point_sub(p,p,q.p); return *this; } |
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/** @brief Point negate. */ |
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inline Point operator- () const NOEXCEPT { Point r((NOINIT())); decaf_448_point_negate(r.p,p); return r; } |
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/** @brief Double the point out of place. */ |
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inline Point times_two () const NOEXCEPT { Point r((NOINIT())); decaf_448_point_double(r.p,p); return r; } |
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/** @brief Double the point in place. */ |
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inline Point &double_in_place() NOEXCEPT { decaf_448_point_double(p,p); return *this; } |
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/** @brief Constant-time compare. */ |
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inline bool operator!=(const Point &q) const NOEXCEPT { return ! decaf_448_point_eq(p,q.p); } |
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/** @brief Constant-time compare. */ |
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inline bool operator==(const Point &q) const NOEXCEPT { return !!decaf_448_point_eq(p,q.p); } |
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/** @brief Scalar multiply. */ |
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inline Point operator* (const Scalar &s) const NOEXCEPT { Point r((NOINIT())); decaf_448_point_scalarmul(r.p,p,s.s); return r; } |
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/** @brief Scalar multiply in place. */ |
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inline Point &operator*=(const Scalar &s) NOEXCEPT { decaf_448_point_scalarmul(p,p,s.s); return *this; } |
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/** @brief Multiply by s.inverse(). If s=0, maps to the identity. */ |
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inline Point operator/ (const Scalar &s) const throw(CryptoException) { return (*this) * s.inverse(); } |
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/** @brief Multiply by s.inverse(). If s=0, maps to the identity. */ |
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inline Point &operator/=(const Scalar &s) throw(CryptoException) { return (*this) *= s.inverse(); } |
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/** @brief Validate / sanity check */ |
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inline bool validate() const NOEXCEPT { return decaf_448_point_valid(p); } |
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/** @brief Double-scalar multiply, equivalent to q*qs + r*rs but faster. */ |
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static inline Point double_scalarmul ( |
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const Point &q, const Scalar &qs, const Point &r, const Scalar &rs |
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@@ -381,7 +380,7 @@ public: |
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) const NOEXCEPT { |
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decaf_448_point_dual_scalarmul(q1.p,q2.p,p,r1.s,r2.s); |
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} |
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/** |
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* @brief Double-scalar multiply, equivalent to q*qs + r*rs but faster. |
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* For those who like their scalars before the point. |
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@@ -389,9 +388,9 @@ public: |
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static inline Point double_scalarmul ( |
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const Scalar &qs, const Point &q, const Scalar &rs, const Point &r |
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) NOEXCEPT { |
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Point p((NOINIT())); decaf_448_point_double_scalarmul(p.p,q.p,qs.s,r.p,rs.s); return p; |
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return double_scalarmul(q,qs,r,rs); |
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} |
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/** |
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* @brief Double-scalar multiply: this point by the first scalar and base by the second scalar. |
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* @warning This function takes variable time, and may leak the scalars (or points, but currently |
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@@ -400,27 +399,27 @@ public: |
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inline Point non_secret_combo_with_base(const Scalar &s, const Scalar &s_base) NOEXCEPT { |
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Point r((NOINIT())); decaf_448_base_double_scalarmul_non_secret(r.p,s_base.s,p,s.s); return r; |
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} |
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/** @brief Return a point equal to *this, whose internal data is rotated by a torsion element. */ |
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inline Point debugging_torque() const NOEXCEPT { |
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Point q; |
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decaf_448_point_debugging_torque(q.p,p); |
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return q; |
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} |
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/** @brief Return a point equal to *this, whose internal data has a modified representation. */ |
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inline Point debugging_pscale(const FixedBlock<SER_BYTES> factor) const NOEXCEPT { |
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Point q; |
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decaf_448_point_debugging_pscale(q.p,p,factor.data()); |
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return q; |
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} |
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/** @brief Return a point equal to *this, whose internal data has a randomized representation. */ |
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inline Point debugging_pscale(Rng &r) const NOEXCEPT { |
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FixedArrayBuffer<SER_BYTES> sb(r); |
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return debugging_pscale(sb); |
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} |
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/** |
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* Modify buffer so that Point::from_hash(Buffer) == *this, and return DECAF_SUCCESS; |
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* or leave buf unmodified and return DECAF_FAILURE. |
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@@ -447,21 +446,22 @@ public: |
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decaf_bzero(buf2,sizeof(buf2)); |
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return decaf_succeed_if(ret); |
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} |
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/** @brief Steganographically encode this */ |
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inline SecureBuffer steg_encode(Rng &rng) const throw(std::bad_alloc) { |
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inline SecureBuffer steg_encode(Rng &rng, size_t size=STEG_BYTES) const throw(std::bad_alloc, LengthException) { |
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if (size <= HASH_BYTES + 4 || size > 2*HASH_BYTES) throw LengthException(); |
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SecureBuffer out(STEG_BYTES); |
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decaf_error_t done; |
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do { |
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rng.read(Buffer(out).slice(HASH_BYTES-1,STEG_BYTES-HASH_BYTES+1)); |
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done = invert_elligator(out, out[HASH_BYTES-1]); |
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done = invert_elligator(out, out[HASH_BYTES-1]); |
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} while (!decaf_successful(done)); |
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return out; |
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} |
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/** @brief Return the base point */ |
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static inline const Point base() NOEXCEPT { return Point(decaf_448_point_base); } |
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/** @brief Return the identity point */ |
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static inline const Point identity() NOEXCEPT { return Point(decaf_448_point_identity); } |
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}; |
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@@ -482,10 +482,10 @@ class Precomputed |
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/** @endcond */ |
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{ |
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public: |
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/** Destructor securely zeorizes the memory. */ |
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inline ~Precomputed() NOEXCEPT { clear(); } |
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/** |
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* @brief Initialize from underlying type, declared as a reference to prevent |
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* it from being called with 0, thereby breaking override. |
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@@ -496,11 +496,11 @@ public: |
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* |
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* @warning The empty initializer makes this equal to base, unlike the empty |
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* initializer for points which makes this equal to the identity. |
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*/ |
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*/ |
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inline Precomputed ( |
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const Precomputed_U &yours = *defaultValue() |
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) NOEXCEPT : OwnedOrUnowned<Precomputed,Precomputed_U>(yours) {} |
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#if __cplusplus >= 201103L |
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/** @brief Move-assign operator */ |
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@@ -508,19 +508,19 @@ public: |
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OwnedOrUnowned<Precomputed,Precomputed_U>::operator= (it); |
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return *this; |
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} |
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/** @brief Move constructor */ |
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inline Precomputed(Precomputed &&it) NOEXCEPT : OwnedOrUnowned<Precomputed,Precomputed_U>() { |
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*this = it; |
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} |
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/** @brief Undelete copy operator */ |
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inline Precomputed &operator=(const Precomputed &it) NOEXCEPT { |
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OwnedOrUnowned<Precomputed,Precomputed_U>::operator= (it); |
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return *this; |
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} |
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#endif |
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/** |
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* @brief Initilaize from point. Must allocate memory, and may throw. |
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*/ |
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@@ -529,25 +529,25 @@ public: |
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decaf_448_precompute(ours.mine,it.p); |
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return *this; |
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} |
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/** |
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* @brief Copy constructor. |
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*/ |
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inline Precomputed(const Precomputed &it) throw(std::bad_alloc) |
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inline Precomputed(const Precomputed &it) throw(std::bad_alloc) |
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: OwnedOrUnowned<Precomputed,Precomputed_U>() { *this = it; } |
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/** |
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* @brief Constructor which initializes from point. |
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*/ |
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inline explicit Precomputed(const Point &it) throw(std::bad_alloc) |
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: OwnedOrUnowned<Precomputed,Precomputed_U>() { *this = it; } |
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/** @brief Fixed base scalarmul. */ |
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inline Point operator* (const Scalar &s) const NOEXCEPT { Point r; decaf_448_precomputed_scalarmul(r.p,get(),s.s); return r; } |
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/** @brief Multiply by s.inverse(). If s=0, maps to the identity. */ |
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inline Point operator/ (const Scalar &s) const throw(CryptoException) { return (*this) * s.inverse(); } |
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/** @brief Return the table for the base point. */ |
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static inline const Precomputed base() NOEXCEPT { return Precomputed(); } |
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@@ -560,7 +560,23 @@ public: |
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/** @endcond */ |
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}; |
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}; /* struct Decaf448 */ |
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}; /* struct Ed448Goldilocks */ |
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/** @cond internal */ |
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inline SecureBuffer Ed448Goldilocks::Scalar::direct_scalarmul ( |
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const Block &in, |
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decaf_bool_t allow_identity, |
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decaf_bool_t short_circuit |
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) const throw(CryptoException) { |
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SecureBuffer out(Ed448Goldilocks::Point::SER_BYTES); |
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if (DECAF_SUCCESS != |
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decaf_448_direct_scalarmul(out.data(), in.data(), s, allow_identity, short_circuit) |
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) { |
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throw CryptoException(); |
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} |
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return out; |
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} |
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/** endcond */ |
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#undef NOEXCEPT |
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} /* namespace decaf */ |
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