diff --git a/include/mbedtls/ecdh.h b/include/mbedtls/ecdh.h
index 99cfde0..70455e8 100644
--- a/include/mbedtls/ecdh.h
+++ b/include/mbedtls/ecdh.h
@@ -1,10 +1,11 @@
 /**
  * \file ecdh.h
  *
- * \brief The Elliptic Curve Diffie-Hellman (ECDH) protocol APIs.
- *
- * ECDH is an anonymous key agreement protocol allowing two parties to
- * establish a shared secret over an insecure channel. Each party must have an
+ * \brief This file contains ECDH definitions and functions.
+ * 
+ * The Elliptic Curve Diffie-Hellman (ECDH) protocol is an anonymous 
+ * key agreement protocol allowing two parties to establish a shared
+ * secret over an insecure channel. Each party must have an
  * elliptic-curve public–private key pair.
  *
  * For more information, see <em>NIST SP 800-56A Rev. 2: Recommendation for
@@ -40,14 +41,12 @@
 #endif
 
 /**
- * Defines the source of the imported EC key:
- * <ul><li>Our key.</li>
- * <li>The key of the peer.</li></ul>
+ * Defines the source of the imported EC key.
  */
 typedef enum
 {
-    MBEDTLS_ECDH_OURS,
-    MBEDTLS_ECDH_THEIRS,
+    MBEDTLS_ECDH_OURS, /**< Our key. */
+    MBEDTLS_ECDH_THEIRS, /**< The key of the peer. */
 } mbedtls_ecdh_side;
 
 /**
@@ -75,16 +74,18 @@
  *                  implemented during the ECDH key exchange. The second core
  *                  computation is performed by mbedtls_ecdh_compute_shared().
  *
+ * \see             ecp.h
+ *
  * \param grp       The ECP group.
  * \param d         The destination MPI (private key).
  * \param Q         The destination point (public key).
  * \param f_rng     The RNG function.
- * \param p_rng     The RNG parameter.
+ * \param p_rng     The RNG context.
  *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX or
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX or
  *                  \c MBEDTLS_MPI_XXX error code on failure.
  *
- * \see             ecp.h
  */
 int mbedtls_ecdh_gen_public( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q,
                      int (*f_rng)(void *, unsigned char *, size_t),
@@ -97,21 +98,22 @@
  *                  implemented during the ECDH key exchange. The first core
  *                  computation is performed by mbedtls_ecdh_gen_public().
  *
- * \param grp       The ECP group.
- * \param z         The destination MPI (shared secret).
- * \param Q         The public key from another party.
- * \param d         Our secret exponent (private key).
- * \param f_rng     The RNG function.
- * \param p_rng     The RNG parameter.
- *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX or
- *                  \c MBEDTLS_MPI_XXX error code on failure.
- *
  * \see             ecp.h
  *
  * \note            If \p f_rng is not NULL, it is used to implement
  *                  countermeasures against potential elaborate timing
  *                  attacks. For more information, see mbedtls_ecp_mul().
+ *
+ * \param grp       The ECP group.
+ * \param z         The destination MPI (shared secret).
+ * \param Q         The public key from another party.
+ * \param d         Our secret exponent (private key).
+ * \param f_rng     The RNG function.
+ * \param p_rng     The RNG context.
+ *
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX or
+ *                  \c MBEDTLS_MPI_XXX error code on failure.
  */
 int mbedtls_ecdh_compute_shared( mbedtls_ecp_group *grp, mbedtls_mpi *z,
                          const mbedtls_ecp_point *Q, const mbedtls_mpi *d,
@@ -139,21 +141,21 @@
  *                  This is the first function used by a TLS server for ECDHE
  *                  ciphersuites.
  *
+ * \note            This function assumes that the ECP group (grp) of the
+ *                  \p ctx context has already been properly set,
+ *                  for example, using mbedtls_ecp_group_load().
+ *
+ * \see             ecp.h
+ *
  * \param ctx       The ECDH context.
  * \param olen      The number of characters written.
  * \param buf       The destination buffer.
  * \param blen      The length of the destination buffer.
  * \param f_rng     The RNG function.
- * \param p_rng     The RNG parameter.
+ * \param p_rng     The RNG context.
  *
- * \note            This function assumes that the ECP group (grp) of the
- *                  \p ctx context has already been properly set,
- *                  for example, using mbedtls_ecp_group_load().
- *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *                  on failure.
- *
- * \see             ecp.h
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  */
 int mbedtls_ecdh_make_params( mbedtls_ecdh_context *ctx, size_t *olen,
                       unsigned char *buf, size_t blen,
@@ -167,14 +169,15 @@
  *                  This is the first function used by a TLS client for ECDHE
  *                  ciphersuites.
  *
+ * \see             ecp.h
+ *
  * \param ctx       The ECDH context.
  * \param buf       The pointer to the start of the input buffer.
  * \param end       The address for one Byte past the end of the buffer.
  *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *                  on failure.
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  *
- * \see             ecp.h
  */
 int mbedtls_ecdh_read_params( mbedtls_ecdh_context *ctx,
                       const unsigned char **buf, const unsigned char *end );
@@ -186,16 +189,16 @@
  *                  ServerKeyEchange for static ECDH, and imports ECDH
  *                  parameters from the EC key information of a certificate.
  *
+ * \see             ecp.h
+ *
  * \param ctx       The ECDH context to set up.
  * \param key       The EC key to use.
- * \param side      Defines the source of the key:
- *                  <ul><li>1: Our key.</li>
-                    <li>0: The key of the peer.</li></ul>
+ * \param side      Defines the source of the key: 1: Our key, or
+ *                  0: The key of the peer.
  *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *                  on failure.
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  *
- * \see             ecp.h
  */
 int mbedtls_ecdh_get_params( mbedtls_ecdh_context *ctx, const mbedtls_ecp_keypair *key,
                      mbedtls_ecdh_side side );
@@ -207,17 +210,17 @@
  *                  This is the second function used by a TLS client for ECDH(E)
  *                  ciphersuites.
  *
+ * \see             ecp.h
+ *
  * \param ctx       The ECDH context.
  * \param olen      The number of Bytes written.
  * \param buf       The destination buffer.
  * \param blen      The size of the destination buffer.
  * \param f_rng     The RNG function.
- * \param p_rng     The RNG parameter.
+ * \param p_rng     The RNG context.
  *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *                  on failure.
- *
- * \see             ecp.h
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  */
 int mbedtls_ecdh_make_public( mbedtls_ecdh_context *ctx, size_t *olen,
                       unsigned char *buf, size_t blen,
@@ -231,14 +234,14 @@
  *              This is the second function used by a TLS server for ECDH(E)
  *              ciphersuites.
  *
+ * \see         ecp.h
+ *
  * \param ctx   The ECDH context.
  * \param buf   The start of the input buffer.
  * \param blen  The length of the input buffer.
  *
- * \return      \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *              on failure.
- *
- * \see         ecp.h
+ * \return      \c 0 on success.
+ * \return      An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  */
 int mbedtls_ecdh_read_public( mbedtls_ecdh_context *ctx,
                       const unsigned char *buf, size_t blen );
@@ -249,21 +252,21 @@
  *                  This is the last function used by both TLS client
  *                  and servers.
  *
+ * \note            If \p f_rng is not NULL, it is used to implement
+ *                  countermeasures against potential elaborate timing
+ *                  attacks. For more information, see mbedtls_ecp_mul().
+ *
+ * \see             ecp.h
+ *
  * \param ctx       The ECDH context.
  * \param olen      The number of Bytes written.
  * \param buf       The destination buffer.
  * \param blen      The length of the destination buffer.
  * \param f_rng     The RNG function.
- * \param p_rng     The RNG parameter.
+ * \param p_rng     The RNG context.
  *
- * \return          \c 0 on success, or an \c MBEDTLS_ERR_ECP_XXX error code
- *                  on failure.
- *
- * \see             ecp.h
- *
- * \note            If \p f_rng is not NULL, it is used to implement
- *                  countermeasures against potential elaborate timing
- *                  attacks. For more information, see mbedtls_ecp_mul().
+ * \return          \c 0 on success.
+ * \return          An \c MBEDTLS_ERR_ECP_XXX error code on failure.
  */
 int mbedtls_ecdh_calc_secret( mbedtls_ecdh_context *ctx, size_t *olen,
                       unsigned char *buf, size_t blen,