Provide EC functions that are not curve type specific

Some EC functions exist in *_GFp and *_GF2m forms, in spite of the
implementations between the two curve types being identical. This
commit provides equivalent generic functions with the *_GFp and *_GF2m
forms just calling the generic functions.

Reviewed-by: Rich Salz <rsalz@openssl.org>
(Merged from https://github.com/openssl/openssl/pull/6815)

7 files changed, 171 insertions, 106 deletions

diff --git a/crypto/ec/ec_err.c b/crypto/ec/ec_err.c
index cbe204f597..8f4911abec 100644
--- a/crypto/ec/ec_err.c
+++ b/crypto/ec/ec_err.c
@@ -146,6 +146,7 @@ static const ERR_STRING_DATA EC_str_functs[] = {
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_CHECK_DISCRIMINANT, 0),
      "EC_GROUP_check_discriminant"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_COPY, 0), "EC_GROUP_copy"},
+    {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_GET_CURVE, 0), "EC_GROUP_get_curve"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_GET_CURVE_GF2M, 0),
      "EC_GROUP_get_curve_GF2m"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_GET_CURVE_GFP, 0),
@@ -168,6 +169,7 @@ static const ERR_STRING_DATA EC_str_functs[] = {
      "EC_GROUP_new_from_ecparameters"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, 0),
      "EC_GROUP_new_from_ecpkparameters"},
+    {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_SET_CURVE, 0), "EC_GROUP_set_curve"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_SET_CURVE_GF2M, 0),
      "EC_GROUP_set_curve_GF2m"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_GROUP_SET_CURVE_GFP, 0),
@@ -203,6 +205,8 @@ static const ERR_STRING_DATA EC_str_functs[] = {
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_CMP, 0), "EC_POINT_cmp"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_COPY, 0), "EC_POINT_copy"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_DBL, 0), "EC_POINT_dbl"},
+    {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_GET_AFFINE_COORDINATES, 0),
+     "EC_POINT_get_affine_coordinates"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, 0),
      "EC_POINT_get_affine_coordinates_GF2m"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, 0),
@@ -220,10 +224,14 @@ static const ERR_STRING_DATA EC_str_functs[] = {
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_OCT2POINT, 0), "EC_POINT_oct2point"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_POINT2BUF, 0), "EC_POINT_point2buf"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_POINT2OCT, 0), "EC_POINT_point2oct"},
+    {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_AFFINE_COORDINATES, 0),
+     "EC_POINT_set_affine_coordinates"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, 0),
      "EC_POINT_set_affine_coordinates_GF2m"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, 0),
      "EC_POINT_set_affine_coordinates_GFp"},
+    {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_COMPRESSED_COORDINATES, 0),
+     "EC_POINT_set_compressed_coordinates"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, 0),
      "EC_POINT_set_compressed_coordinates_GF2m"},
     {ERR_PACK(ERR_LIB_EC, EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, 0),
diff --git a/crypto/ec/ec_lib.c b/crypto/ec/ec_lib.c
index 457cd3593c..cc270366a4 100644
--- a/crypto/ec/ec_lib.c
+++ b/crypto/ec/ec_lib.c
@@ -415,47 +415,49 @@ size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
     return group->seed_len;
 }
 
-int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
-                           const BIGNUM *b, BN_CTX *ctx)
+int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+                       const BIGNUM *b, BN_CTX *ctx)
 {
     if (group->meth->group_set_curve == 0) {
-        ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+        ECerr(EC_F_EC_GROUP_SET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
         return 0;
     }
     return group->meth->group_set_curve(group, p, a, b, ctx);
 }
 
-int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
-                           BIGNUM *b, BN_CTX *ctx)
+int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
+                       BN_CTX *ctx)
 {
-    if (group->meth->group_get_curve == 0) {
-        ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+    if (group->meth->group_get_curve == NULL) {
+        ECerr(EC_F_EC_GROUP_GET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
         return 0;
     }
     return group->meth->group_get_curve(group, p, a, b, ctx);
 }
 
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+                           const BIGNUM *b, BN_CTX *ctx)
+{
+    return EC_GROUP_set_curve(group, p, a, b, ctx);
+}
+
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
+                           BIGNUM *b, BN_CTX *ctx)
+{
+    return EC_GROUP_get_curve(group, p, a, b, ctx);
+}
+
 #ifndef OPENSSL_NO_EC2M
 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
                             const BIGNUM *b, BN_CTX *ctx)
 {
-    if (group->meth->group_set_curve == 0) {
-        ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
-              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
-        return 0;
-    }
-    return group->meth->group_set_curve(group, p, a, b, ctx);
+    return EC_GROUP_set_curve(group, p, a, b, ctx);
 }
 
 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
                             BIGNUM *b, BN_CTX *ctx)
 {
-    if (group->meth->group_get_curve == 0) {
-        ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
-              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
-        return 0;
-    }
-    return group->meth->group_get_curve(group, p, a, b, ctx);
+    return EC_GROUP_get_curve(group, p, a, b, ctx);
 }
 #endif
 
@@ -699,73 +701,66 @@ int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
                                                               y, z, ctx);
 }
 
-int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
-                                        EC_POINT *point, const BIGNUM *x,
-                                        const BIGNUM *y, BN_CTX *ctx)
+int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
+                                    const BIGNUM *x, const BIGNUM *y,
+                                    BN_CTX *ctx)
 {
-    if (group->meth->point_set_affine_coordinates == 0) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
+    if (group->meth->point_set_affine_coordinates == NULL) {
+        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES,
               ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
         return 0;
     }
     if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
-              EC_R_INCOMPATIBLE_OBJECTS);
+        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
         return 0;
     }
     if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
         return 0;
 
     if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
-              EC_R_POINT_IS_NOT_ON_CURVE);
+        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_POINT_IS_NOT_ON_CURVE);
         return 0;
     }
     return 1;
 }
 
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
+                                        EC_POINT *point, const BIGNUM *x,
+                                        const BIGNUM *y, BN_CTX *ctx)
+{
+    return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
+}
+
 #ifndef OPENSSL_NO_EC2M
 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
                                          EC_POINT *point, const BIGNUM *x,
                                          const BIGNUM *y, BN_CTX *ctx)
 {
-    if (group->meth->point_set_affine_coordinates == 0) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
+    return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
+}
+#endif
+
+int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
+                                    const EC_POINT *point, BIGNUM *x, BIGNUM *y,
+                                    BN_CTX *ctx)
+{
+    if (group->meth->point_get_affine_coordinates == NULL) {
+        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES,
               ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
         return 0;
     }
     if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
-              EC_R_INCOMPATIBLE_OBJECTS);
-        return 0;
-    }
-    if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
-        return 0;
-
-    if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
-        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
-              EC_R_POINT_IS_NOT_ON_CURVE);
+        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
         return 0;
     }
-    return 1;
+    return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
 }
-#endif
 
 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
                                         const EC_POINT *point, BIGNUM *x,
                                         BIGNUM *y, BN_CTX *ctx)
 {
-    if (group->meth->point_get_affine_coordinates == 0) {
-        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
-              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
-        return 0;
-    }
-    if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
-              EC_R_INCOMPATIBLE_OBJECTS);
-        return 0;
-    }
-    return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
+    return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
 }
 
 #ifndef OPENSSL_NO_EC2M
@@ -773,17 +768,7 @@ int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
                                          const EC_POINT *point, BIGNUM *x,
                                          BIGNUM *y, BN_CTX *ctx)
 {
-    if (group->meth->point_get_affine_coordinates == 0) {
-        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
-              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
-        return 0;
-    }
-    if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
-              EC_R_INCOMPATIBLE_OBJECTS);
-        return 0;
-    }
-    return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
+    return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
 }
 #endif
 
diff --git a/crypto/ec/ec_oct.c b/crypto/ec/ec_oct.c
index c87d495a4f..224c38f86c 100644
--- a/crypto/ec/ec_oct.c
+++ b/crypto/ec/ec_oct.c
@@ -15,18 +15,17 @@
 
 #include "ec_lcl.h"
 
-int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
-                                            EC_POINT *point, const BIGNUM *x,
-                                            int y_bit, BN_CTX *ctx)
+int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
+                                        const BIGNUM *x, int y_bit, BN_CTX *ctx)
 {
-    if (group->meth->point_set_compressed_coordinates == 0
+    if (group->meth->point_set_compressed_coordinates == NULL
         && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
-        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,
+        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES,
               ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
         return 0;
     }
     if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,
+        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES,
               EC_R_INCOMPATIBLE_OBJECTS);
         return 0;
     }
@@ -37,7 +36,7 @@ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
         else
 #ifdef OPENSSL_NO_EC2M
         {
-            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,
+            ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES,
                   EC_R_GF2M_NOT_SUPPORTED);
             return 0;
         }
@@ -50,32 +49,19 @@ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
                                                          y_bit, ctx);
 }
 
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
+                                            EC_POINT *point, const BIGNUM *x,
+                                            int y_bit, BN_CTX *ctx)
+{
+    return EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx);
+}
+
 #ifndef OPENSSL_NO_EC2M
 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
                                              EC_POINT *point, const BIGNUM *x,
                                              int y_bit, BN_CTX *ctx)
 {
-    if (group->meth->point_set_compressed_coordinates == 0
-        && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
-        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M,
-              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
-        return 0;
-    }
-    if (!ec_point_is_compat(point, group)) {
-        ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M,
-              EC_R_INCOMPATIBLE_OBJECTS);
-        return 0;
-    }
-    if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
-        if (group->meth->field_type == NID_X9_62_prime_field)
-            return ec_GFp_simple_set_compressed_coordinates(group, point, x,
-                                                            y_bit, ctx);
-        else
-            return ec_GF2m_simple_set_compressed_coordinates(group, point, x,
-                                                             y_bit, ctx);
-    }
-    return group->meth->point_set_compressed_coordinates(group, point, x,
-                                                         y_bit, ctx);
+    return EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx);
 }
 #endif
 
diff --git a/crypto/err/openssl.txt b/crypto/err/openssl.txt
index a0dc3c5277..90b5c4e046 100644
--- a/crypto/err/openssl.txt
+++ b/crypto/err/openssl.txt
@@ -570,6 +570,7 @@ EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES:169:\
 EC_F_EC_GROUP_CHECK:170:EC_GROUP_check
 EC_F_EC_GROUP_CHECK_DISCRIMINANT:171:EC_GROUP_check_discriminant
 EC_F_EC_GROUP_COPY:106:EC_GROUP_copy
+EC_F_EC_GROUP_GET_CURVE:291:EC_GROUP_get_curve
 EC_F_EC_GROUP_GET_CURVE_GF2M:172:EC_GROUP_get_curve_GF2m
 EC_F_EC_GROUP_GET_CURVE_GFP:130:EC_GROUP_get_curve_GFp
 EC_F_EC_GROUP_GET_DEGREE:173:EC_GROUP_get_degree
@@ -582,6 +583,7 @@ EC_F_EC_GROUP_NEW_BY_CURVE_NAME:174:EC_GROUP_new_by_curve_name
 EC_F_EC_GROUP_NEW_FROM_DATA:175:ec_group_new_from_data
 EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS:263:EC_GROUP_new_from_ecparameters
 EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS:264:EC_GROUP_new_from_ecpkparameters
+EC_F_EC_GROUP_SET_CURVE:292:EC_GROUP_set_curve
 EC_F_EC_GROUP_SET_CURVE_GF2M:176:EC_GROUP_set_curve_GF2m
 EC_F_EC_GROUP_SET_CURVE_GFP:109:EC_GROUP_set_curve_GFp
 EC_F_EC_GROUP_SET_GENERATOR:111:EC_GROUP_set_generator
@@ -610,6 +612,7 @@ EC_F_EC_POINT_BN2POINT:280:EC_POINT_bn2point
 EC_F_EC_POINT_CMP:113:EC_POINT_cmp
 EC_F_EC_POINT_COPY:114:EC_POINT_copy
 EC_F_EC_POINT_DBL:115:EC_POINT_dbl
+EC_F_EC_POINT_GET_AFFINE_COORDINATES:293:EC_POINT_get_affine_coordinates
 EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M:183:\
 	EC_POINT_get_affine_coordinates_GF2m
 EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP:116:EC_POINT_get_affine_coordinates_GFp
@@ -623,9 +626,11 @@ EC_F_EC_POINT_NEW:121:EC_POINT_new
 EC_F_EC_POINT_OCT2POINT:122:EC_POINT_oct2point
 EC_F_EC_POINT_POINT2BUF:281:EC_POINT_point2buf
 EC_F_EC_POINT_POINT2OCT:123:EC_POINT_point2oct
+EC_F_EC_POINT_SET_AFFINE_COORDINATES:294:EC_POINT_set_affine_coordinates
 EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M:185:\
 	EC_POINT_set_affine_coordinates_GF2m
 EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP:124:EC_POINT_set_affine_coordinates_GFp
+EC_F_EC_POINT_SET_COMPRESSED_COORDINATES:295:EC_POINT_set_compressed_coordinates
 EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M:186:\
 	EC_POINT_set_compressed_coordinates_GF2m
 EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP:125:\
diff --git a/include/openssl/ec.h b/include/openssl/ec.h
index ed2161dab0..f34eb1e3bc 100644
--- a/include/openssl/ec.h
+++ b/include/openssl/ec.h
@@ -223,9 +223,36 @@ unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 
-/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
+/** Sets the parameters of a ec curve defined by y^2 = x^3 + a*x + b (for GFp)
+ *  or y^2 + x*y = x^3 + a*x^2 + b (for GF2m)
  *  \param  group  EC_GROUP object
- *  \param  p      BIGNUM with the prime number
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
+ *  \param  a      BIGNUM with parameter a of the equation
+ *  \param  b      BIGNUM with parameter b of the equation
+ *  \param  ctx    BN_CTX object (optional)
+ *  \return 1 on success and 0 if an error occurred
+ */
+int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+                       const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameters of the ec curve defined by y^2 = x^3 + a*x + b (for GFp)
+ *  or y^2 + x*y = x^3 + a*x^2 + b (for GF2m)
+ *  \param  group  EC_GROUP object
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
+ *  \param  a      BIGNUM for parameter a of the equation
+ *  \param  b      BIGNUM for parameter b of the equation
+ *  \param  ctx    BN_CTX object (optional)
+ *  \return 1 on success and 0 if an error occurred
+ */
+int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
+                       BN_CTX *ctx);
+
+/** Sets the parameters of an ec curve. Synonym for EC_GROUP_set_curve
+ *  \param  group  EC_GROUP object
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
  *  \param  a      BIGNUM with parameter a of the equation
  *  \param  b      BIGNUM with parameter b of the equation
  *  \param  ctx    BN_CTX object (optional)
@@ -234,9 +261,10 @@ size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
                            const BIGNUM *b, BN_CTX *ctx);
 
-/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
+/** Gets the parameters of an ec curve. Synonym for EC_GROUP_get_curve
  *  \param  group  EC_GROUP object
- *  \param  p      BIGNUM for the prime number
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
  *  \param  a      BIGNUM for parameter a of the equation
  *  \param  b      BIGNUM for parameter b of the equation
  *  \param  ctx    BN_CTX object (optional)
@@ -246,9 +274,10 @@ int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
                            BIGNUM *b, BN_CTX *ctx);
 
 # ifndef OPENSSL_NO_EC2M
-/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+/** Sets the parameter of an ec curve. Synonym for EC_GROUP_set_curve
  *  \param  group  EC_GROUP object
- *  \param  p      BIGNUM with the polynomial defining the underlying field
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
  *  \param  a      BIGNUM with parameter a of the equation
  *  \param  b      BIGNUM with parameter b of the equation
  *  \param  ctx    BN_CTX object (optional)
@@ -257,9 +286,10 @@ int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
                             const BIGNUM *b, BN_CTX *ctx);
 
-/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+/** Gets the parameters of an ec curve. Synonym for EC_GROUP_get_curve
  *  \param  group  EC_GROUP object
- *  \param  p      BIGNUM for the polynomial defining the underlying field
+ *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
+ *                 defining the underlying field (GF2m)
  *  \param  a      BIGNUM for parameter a of the equation
  *  \param  b      BIGNUM for parameter b of the equation
  *  \param  ctx    BN_CTX object (optional)
@@ -459,7 +489,31 @@ int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
                                              BIGNUM *y, BIGNUM *z,
                                              BN_CTX *ctx);
 
-/** Sets the affine coordinates of a EC_POINT over GFp
+/** Sets the affine coordinates of an EC_POINT
+ *  \param  group  underlying EC_GROUP object
+ *  \param  p      EC_POINT object
+ *  \param  x      BIGNUM with the x-coordinate
+ *  \param  y      BIGNUM with the y-coordinate
+ *  \param  ctx    BN_CTX object (optional)
+ *  \return 1 on success and 0 if an error occurred
+ */
+int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
+                                    const BIGNUM *x, const BIGNUM *y,
+                                    BN_CTX *ctx);
+
+/** Gets the affine coordinates of an EC_POINT.
+ *  \param  group  underlying EC_GROUP object
+ *  \param  p      EC_POINT object
+ *  \param  x      BIGNUM for the x-coordinate
+ *  \param  y      BIGNUM for the y-coordinate
+ *  \param  ctx    BN_CTX object (optional)
+ *  \return 1 on success and 0 if an error occurred
+ */
+int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
+                                    BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the affine coordinates of an EC_POINT. A synonym of
+ *  EC_POINT_set_affine_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM with the x-coordinate
@@ -471,7 +525,8 @@ int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
                                         const BIGNUM *x, const BIGNUM *y,
                                         BN_CTX *ctx);
 
-/** Gets the affine coordinates of a EC_POINT over GFp
+/** Gets the affine coordinates of an EC_POINT. A synonym of
+ *  EC_POINT_get_affine_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM for the x-coordinate
@@ -483,7 +538,20 @@ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
                                         const EC_POINT *p, BIGNUM *x,
                                         BIGNUM *y, BN_CTX *ctx);
 
-/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
+/** Sets the x9.62 compressed coordinates of a EC_POINT
+ *  \param  group  underlying EC_GROUP object
+ *  \param  p      EC_POINT object
+ *  \param  x      BIGNUM with x-coordinate
+ *  \param  y_bit  integer with the y-Bit (either 0 or 1)
+ *  \param  ctx    BN_CTX object (optional)
+ *  \return 1 on success and 0 if an error occurred
+ */
+int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
+                                        const BIGNUM *x, int y_bit,
+                                        BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT. A synonym of
+ *  EC_POINT_set_compressed_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM with x-coordinate
@@ -495,7 +563,8 @@ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
                                             EC_POINT *p, const BIGNUM *x,
                                             int y_bit, BN_CTX *ctx);
 # ifndef OPENSSL_NO_EC2M
-/** Sets the affine coordinates of a EC_POINT over GF2m
+/** Sets the affine coordinates of an EC_POINT. A synonym of
+ *  EC_POINT_set_affine_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM with the x-coordinate
@@ -507,7 +576,8 @@ int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
                                          const BIGNUM *x, const BIGNUM *y,
                                          BN_CTX *ctx);
 
-/** Gets the affine coordinates of a EC_POINT over GF2m
+/** Gets the affine coordinates of an EC_POINT. A synonym of
+ *  EC_POINT_get_affine_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM for the x-coordinate
@@ -519,7 +589,8 @@ int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
                                          const EC_POINT *p, BIGNUM *x,
                                          BIGNUM *y, BN_CTX *ctx);
 
-/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
+/** Sets the x9.62 compressed coordinates of a EC_POINT. A synonym of
+ *  EC_POINT_set_compressed_coordinates
  *  \param  group  underlying EC_GROUP object
  *  \param  p      EC_POINT object
  *  \param  x      BIGNUM with x-coordinate
diff --git a/include/openssl/ecerr.h b/include/openssl/ecerr.h
index 967d6e0cf6..8d429387a2 100644
--- a/include/openssl/ecerr.h
+++ b/include/openssl/ecerr.h
@@ -103,6 +103,7 @@ int ERR_load_EC_strings(void);
 #  define EC_F_EC_GROUP_CHECK                              170
 #  define EC_F_EC_GROUP_CHECK_DISCRIMINANT                 171
 #  define EC_F_EC_GROUP_COPY                               106
+#  define EC_F_EC_GROUP_GET_CURVE                          291
 #  define EC_F_EC_GROUP_GET_CURVE_GF2M                     172
 #  define EC_F_EC_GROUP_GET_CURVE_GFP                      130
 #  define EC_F_EC_GROUP_GET_DEGREE                         173
@@ -115,6 +116,7 @@ int ERR_load_EC_strings(void);
 #  define EC_F_EC_GROUP_NEW_FROM_DATA                      175
 #  define EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS              263
 #  define EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS            264
+#  define EC_F_EC_GROUP_SET_CURVE                          292
 #  define EC_F_EC_GROUP_SET_CURVE_GF2M                     176
 #  define EC_F_EC_GROUP_SET_CURVE_GFP                      109
 #  define EC_F_EC_GROUP_SET_GENERATOR                      111
@@ -142,6 +144,7 @@ int ERR_load_EC_strings(void);
 #  define EC_F_EC_POINT_CMP                                113
 #  define EC_F_EC_POINT_COPY                               114
 #  define EC_F_EC_POINT_DBL                                115
+#  define EC_F_EC_POINT_GET_AFFINE_COORDINATES             293
 #  define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M        183
 #  define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP         116
 #  define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP    117
@@ -153,8 +156,10 @@ int ERR_load_EC_strings(void);
 #  define EC_F_EC_POINT_OCT2POINT                          122
 #  define EC_F_EC_POINT_POINT2BUF                          281
 #  define EC_F_EC_POINT_POINT2OCT                          123
+#  define EC_F_EC_POINT_SET_AFFINE_COORDINATES             294
 #  define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M        185
 #  define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP         124
+#  define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES         295
 #  define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M    186
 #  define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP     125
 #  define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP    126
diff --git a/util/libcrypto.num b/util/libcrypto.num
index f193729f71..18f0f45d06 100644
--- a/util/libcrypto.num
+++ b/util/libcrypto.num
@@ -4569,3 +4569,8 @@ EVP_PKEY_asn1_set_get_priv_key          4520	1_1_1	EXIST::FUNCTION:
 EVP_PKEY_asn1_set_get_pub_key           4521	1_1_1	EXIST::FUNCTION:
 EVP_PKEY_set_alias_type                 4522	1_1_1	EXIST::FUNCTION:
 RAND_keep_random_devices_open           4523	1_1_1	EXIST::FUNCTION:
+EC_POINT_set_compressed_coordinates     4524	1_1_1	EXIST::FUNCTION:EC
+EC_POINT_set_affine_coordinates         4525	1_1_1	EXIST::FUNCTION:EC
+EC_POINT_get_affine_coordinates         4526	1_1_1	EXIST::FUNCTION:EC
+EC_GROUP_set_curve                      4527	1_1_1	EXIST::FUNCTION:EC
+EC_GROUP_get_curve                      4528	1_1_1	EXIST::FUNCTION:EC