+/**
+ * \brief Type for a modulus computing function.
+ *
+ * Such a function computes the public modulus from the private key. The
+ * encoded modulus (unsigned big-endian) is written on `n`, and the size
+ * (in bytes) is returned. If `n` is `NULL`, then the size is returned but
+ * the modulus itself is not computed.
+ *
+ * If the key size exceeds an internal limit, 0 is returned.
+ *
+ * \param n destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the modulus length (in bytes), or 0.
+ */
+typedef size_t (*br_rsa_compute_modulus)(void *n, const br_rsa_private_key *sk);
+
+/**
+ * \brief Recompute RSA modulus ("i15" engine).
+ *
+ * \see br_rsa_compute_modulus
+ *
+ * \param n destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the modulus length (in bytes), or 0.
+ */
+size_t br_rsa_i15_compute_modulus(void *n, const br_rsa_private_key *sk);
+
+/**
+ * \brief Recompute RSA modulus ("i31" engine).
+ *
+ * \see br_rsa_compute_modulus
+ *
+ * \param n destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the modulus length (in bytes), or 0.
+ */
+size_t br_rsa_i31_compute_modulus(void *n, const br_rsa_private_key *sk);
+
+/**
+ * \brief Get "default" RSA implementation (recompute modulus).
+ *
+ * This returns the preferred implementation of RSA (recompute modulus)
+ * on the current system.
+ *
+ * \return the default implementation.
+ */
+br_rsa_compute_modulus br_rsa_compute_modulus_get_default(void);
+
+/**
+ * \brief Type for a public exponent computing function.
+ *
+ * Such a function recomputes the public exponent from the private key.
+ * 0 is returned if any of the following occurs:
+ *
+ * - Either `p` or `q` is not equal to 3 modulo 4.
+ *
+ * - The public exponent does not fit on 32 bits.
+ *
+ * - An internal limit is exceeded.
+ *
+ * - The private key is invalid in some way.
+ *
+ * For all private keys produced by the key generator functions
+ * (`br_rsa_keygen` type), this function succeeds and returns the true
+ * public exponent. The public exponent is always an odd integer greater
+ * than 1.
+ *
+ * \return the public exponent, or 0.
+ */
+typedef uint32_t (*br_rsa_compute_pubexp)(const br_rsa_private_key *sk);
+
+/**
+ * \brief Recompute RSA public exponent ("i15" engine).
+ *
+ * \see br_rsa_compute_pubexp
+ *
+ * \return the public exponent, or 0.
+ */
+uint32_t br_rsa_i15_compute_pubexp(const br_rsa_private_key *sk);
+
+/**
+ * \brief Recompute RSA public exponent ("i31" engine).
+ *
+ * \see br_rsa_compute_pubexp
+ *
+ * \return the public exponent, or 0.
+ */
+uint32_t br_rsa_i31_compute_pubexp(const br_rsa_private_key *sk);
+
+/**
+ * \brief Get "default" RSA implementation (recompute public exponent).
+ *
+ * This returns the preferred implementation of RSA (recompute public
+ * exponent) on the current system.
+ *
+ * \return the default implementation.
+ */
+br_rsa_compute_pubexp br_rsa_compute_pubexp_get_default(void);
+
+/**
+ * \brief Type for a private exponent computing function.
+ *
+ * An RSA private key (`br_rsa_private_key`) contains two reduced
+ * private exponents, which are sufficient to perform private key
+ * operations. However, standard encoding formats for RSA private keys
+ * require also a copy of the complete private exponent (non-reduced),
+ * which this function recomputes.
+ *
+ * This function suceeds if all the following conditions hold:
+ *
+ * - Both private factors `p` and `q` are equal to 3 modulo 4.
+ *
+ * - The provided public exponent `pubexp` is correct, and, in particular,
+ * is odd, relatively prime to `p-1` and `q-1`, and greater than 1.
+ *
+ * - No internal storage limit is exceeded.
+ *
+ * For all private keys produced by the key generator functions
+ * (`br_rsa_keygen` type), this function succeeds. Note that the API
+ * restricts the public exponent to a maximum size of 32 bits.
+ *
+ * The encoded private exponent is written in `d` (unsigned big-endian
+ * convention), and the length (in bytes) is returned. If `d` is `NULL`,
+ * then the exponent is not written anywhere, but the length is still
+ * returned. On error, 0 is returned.
+ *
+ * Not all error conditions are detected when `d` is `NULL`; therefore, the
+ * returned value shall be checked also when actually producing the value.
+ *
+ * \param d destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the private exponent length (in bytes), or 0.
+ */
+typedef size_t (*br_rsa_compute_privexp)(void *d,
+ const br_rsa_private_key *sk, uint32_t pubexp);
+
+/**
+ * \brief Recompute RSA private exponent ("i15" engine).
+ *
+ * \see br_rsa_compute_privexp
+ *
+ * \param d destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the private exponent length (in bytes), or 0.
+ */
+size_t br_rsa_i15_compute_privexp(void *d,
+ const br_rsa_private_key *sk, uint32_t pubexp);
+
+/**
+ * \brief Recompute RSA private exponent ("i31" engine).
+ *
+ * \see br_rsa_compute_privexp
+ *
+ * \param d destination buffer (or `NULL`).
+ * \param sk RSA private key.
+ * \return the private exponent length (in bytes), or 0.
+ */
+size_t br_rsa_i31_compute_privexp(void *d,
+ const br_rsa_private_key *sk, uint32_t pubexp);
+
+/**
+ * \brief Get "default" RSA implementation (recompute private exponent).
+ *
+ * This returns the preferred implementation of RSA (recompute private
+ * exponent) on the current system.
+ *
+ * \return the default implementation.
+ */
+br_rsa_compute_privexp br_rsa_compute_privexp_get_default(void);
+