doc fixups
[openssl.git] / test / ectest.c
index fb6027b8e5c770e60367bdb6d1ce180bd6fe096f..7236b43bd1f7be01efa89d47ecec54df301ffc0c 100644 (file)
@@ -1,14 +1,15 @@
 /*
- * Copyright 2001-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
  * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
  *
- * Licensed under the OpenSSL license (the "License").  You may not use
+ * Licensed under the Apache License 2.0 (the "License").  You may not use
  * this file except in compliance with the License.  You can obtain a copy
  * in the file LICENSE in the source distribution or at
  * https://www.openssl.org/source/license.html
  */
 
-#include "e_os.h"
+#include <string.h>
+#include "internal/nelem.h"
 #include "testutil.h"
 
 #ifndef OPENSSL_NO_EC
 # include <openssl/bn.h>
 # include <openssl/opensslconf.h>
 
-# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
-/* suppress "too big too optimize" warning */
-#  pragma warning(disable:4959)
-# endif
-
 static size_t crv_len = 0;
 static EC_builtin_curve *curves = NULL;
 
@@ -36,6 +32,7 @@ static int group_order_tests(EC_GROUP *group)
 {
     BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL;
     EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL;
+    const EC_POINT *G = NULL;
     BN_CTX *ctx = NULL;
     int i = 0, r = 0;
 
@@ -43,6 +40,7 @@ static int group_order_tests(EC_GROUP *group)
         || !TEST_ptr(n2 = BN_new())
         || !TEST_ptr(order = BN_new())
         || !TEST_ptr(ctx = BN_CTX_new())
+        || !TEST_ptr(G = EC_GROUP_get0_generator(group))
         || !TEST_ptr(P = EC_POINT_new(group))
         || !TEST_ptr(Q = EC_POINT_new(group))
         || !TEST_ptr(R = EC_POINT_new(group))
@@ -54,7 +52,15 @@ static int group_order_tests(EC_GROUP *group)
         || !TEST_true(EC_POINT_is_at_infinity(group, Q))
         || !TEST_true(EC_GROUP_precompute_mult(group, ctx))
         || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
-        || !TEST_true(EC_POINT_is_at_infinity(group, Q)))
+        || !TEST_true(EC_POINT_is_at_infinity(group, Q))
+        || !TEST_true(EC_POINT_copy(P, G))
+        || !TEST_true(BN_one(n1))
+        || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx))
+        || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
+        || !TEST_true(BN_sub(n1, order, n1))
+        || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx))
+        || !TEST_true(EC_POINT_invert(group, Q, ctx))
+        || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
         goto err;
 
     for (i = 1; i <= 2; i++) {
@@ -67,6 +73,7 @@ static int group_order_tests(EC_GROUP *group)
              * EC_GROUP_precompute_mult has set up precomputation.
              */
             || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
+            || (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx)))
             || !TEST_true(BN_one(n1))
             /* n1 = 1 - order */
             || !TEST_true(BN_sub(n1, n1, order))
@@ -163,7 +170,7 @@ static int prime_field_tests(void)
          * that the library gets to choose the EC_METHOD
          */
         || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method()))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
         || !TEST_true(EC_GROUP_copy(tmp, group)))
         goto err;
@@ -171,7 +178,7 @@ static int prime_field_tests(void)
     group = tmp;
     tmp = NULL;
 
-    if (!TEST_true(EC_GROUP_get_curve_GFp(group, p, a, b, ctx)))
+    if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
         goto err;
 
     TEST_info("Curve defined by Weierstrass equation");
@@ -194,13 +201,11 @@ static int prime_field_tests(void)
         || !TEST_ptr(z = BN_new())
         || !TEST_ptr(yplusone = BN_new())
         || !TEST_true(BN_hex2bn(&x, "D"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1,
-                                                              ctx)))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx)))
         goto err;
 
     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
-        if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, Q, x, y,
-                                                           ctx)))
+        if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx)))
             goto err;
         TEST_info("Point is not on curve");
         test_output_bignum("x", x);
@@ -217,8 +222,8 @@ static int prime_field_tests(void)
         if (EC_POINT_is_at_infinity(group, P)) {
             TEST_note("     point at infinity");
         } else {
-            if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y,
-                                                               ctx)))
+            if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
+                                                           ctx)))
                 goto err;
 
             test_output_bignum("x", x);
@@ -237,7 +242,7 @@ static int prime_field_tests(void)
 
     len =
         EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
-                           sizeof buf, ctx);
+                           sizeof(buf), ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
@@ -246,7 +251,7 @@ static int prime_field_tests(void)
                        buf, len);
 
     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
-                             buf, sizeof buf, ctx);
+                             buf, sizeof(buf), ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
@@ -255,7 +260,7 @@ static int prime_field_tests(void)
                        buf, len);
 
     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID,
-                             buf, sizeof buf, ctx);
+                             buf, sizeof(buf), ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
@@ -287,7 +292,7 @@ static int prime_field_tests(void)
                                     "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
         || !TEST_true(BN_hex2bn(&b,                         "1C97BEFC"
                                     "54BD7A8B65ACF89F81D4D4ADC565FA45"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_true(BN_hex2bn(&x,                         "4A96B568"
                                     "8EF573284664698968C38BB913CBFC82"))
         || !TEST_true(BN_hex2bn(&y,                         "23a62855"
@@ -297,14 +302,14 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
-        || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z,                       "0100000000"
                                     "000000000001F4C8F927AED3CA752257"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
     TEST_info("SEC2 curve secp160r1 -- Generator");
     test_output_bignum("x", x);
@@ -327,16 +332,15 @@ static int prime_field_tests(void)
                                     "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
         || !TEST_true(BN_hex2bn(&b,                 "64210519E59C80E7"
                                     "0FA7E9AB72243049FEB8DEECC146B9B1"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_true(BN_hex2bn(&x,                 "188DA80EB03090F6"
                                     "7CBF20EB43A18800F4FF0AFD82FF1012"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
-                                                              ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z,                 "FFFFFFFFFFFFFFFF"
                                     "FFFFFFFF99DEF836146BC9B1B4D22831"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
 
     TEST_info("NIST curve P-192 -- Generator");
@@ -351,8 +355,8 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
         || !TEST_int_eq(EC_GROUP_get_degree(group), 192)
         || !group_order_tests(group)
         || !TEST_ptr(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))
@@ -367,16 +371,15 @@ static int prime_field_tests(void)
                                     "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
         || !TEST_true(BN_hex2bn(&b,         "B4050A850C04B3ABF5413256"
                                     "5044B0B7D7BFD8BA270B39432355FFB4"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_true(BN_hex2bn(&x,         "B70E0CBD6BB4BF7F321390B9"
                                     "4A03C1D356C21122343280D6115C1D21"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
-                                                              ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z,         "FFFFFFFFFFFFFFFFFFFFFFFF"
                                     "FFFF16A2E0B8F03E13DD29455C5C2A3D"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
 
     TEST_info("NIST curve P-224 -- Generator");
@@ -391,8 +394,8 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
         || !TEST_int_eq(EC_GROUP_get_degree(group), 224)
         || !group_order_tests(group)
         || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))
@@ -407,17 +410,16 @@ static int prime_field_tests(void)
                                     "00000000FFFFFFFFFFFFFFFFFFFFFFFC"))
         || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC"
                                     "651D06B0CC53B0F63BCE3C3E27D2604B"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
 
         || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2"
                                     "77037D812DEB33A0F4A13945D898C296"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
-                                                              ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF"
                                     "BCE6FAADA7179E84F3B9CAC2FC632551"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
 
     TEST_info("NIST curve P-256 -- Generator");
@@ -432,8 +434,8 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
         || !TEST_int_eq(EC_GROUP_get_degree(group), 256)
         || !group_order_tests(group)
         || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))
@@ -451,19 +453,18 @@ static int prime_field_tests(void)
         || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19"
                                     "181D9C6EFE8141120314088F5013875A"
                                     "C656398D8A2ED19D2A85C8EDD3EC2AEF"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
 
         || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74"
                                     "6E1D3B628BA79B9859F741E082542A38"
                                     "5502F25DBF55296C3A545E3872760AB7"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1,
-                                                              ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
                                     "FFFFFFFFFFFFFFFFC7634D81F4372DDF"
                                     "581A0DB248B0A77AECEC196ACCC52973"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
 
     TEST_info("NIST curve P-384 -- Generator");
@@ -479,8 +480,8 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
         || !TEST_int_eq(EC_GROUP_get_degree(group), 384)
         || !group_order_tests(group)
         || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))
@@ -503,14 +504,13 @@ static int prime_field_tests(void)
                                     "A2DA725B99B315F3B8B489918EF109E1"
                                     "56193951EC7E937B1652C0BD3BB1BF07"
                                     "3573DF883D2C34F1EF451FD46B503F00"))
-        || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_true(BN_hex2bn(&x,                               "C6"
                                     "858E06B70404E9CD9E3ECB662395B442"
                                     "9C648139053FB521F828AF606B4D3DBA"
                                     "A14B5E77EFE75928FE1DC127A2FFA8DE"
                                     "3348B3C1856A429BF97E7E31C2E5BD66"))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0,
-                                                              ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z,                              "1FF"
                                     "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
@@ -518,7 +518,7 @@ static int prime_field_tests(void)
                                     "51868783BF2F966B7FCC0148F709A5D0"
                                     "3BB5C9B8899C47AEBB6FB71E91386409"))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
 
     TEST_info("NIST curve P-521 -- Generator");
@@ -536,8 +536,8 @@ static int prime_field_tests(void)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x,
-                                                           yplusone, ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
+                                                       ctx))
         || !TEST_int_eq(EC_GROUP_get_degree(group), 521)
         || !group_order_tests(group)
         || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))
@@ -546,7 +546,7 @@ static int prime_field_tests(void)
     /* more tests using the last curve */
 
     /* Restore the point that got mangled in the (x, y + 1) test. */
-        || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
         || !TEST_true(EC_POINT_copy(Q, P))
         || !TEST_false(EC_POINT_is_at_infinity(group, Q))
         || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
@@ -828,7 +828,7 @@ static int char2_curve_test(int n)
         || !TEST_true(BN_hex2bn(&a, test->a))
         || !TEST_true(BN_hex2bn(&b, test->b))
         || !TEST_true(group = EC_GROUP_new(EC_GF2m_simple_method()))
-        || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_ptr(P = EC_POINT_new(group))
         || !TEST_ptr(Q = EC_POINT_new(group))
         || !TEST_ptr(R = EC_POINT_new(group))
@@ -843,17 +843,15 @@ static int char2_curve_test(int n)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-    if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
-                                                         ctx))
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, P, x,
-                                                               test->y_bit,
-                                                               ctx))
+    if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x,
+                                                          test->y_bit,
+                                                          ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z, test->order))
         || !TEST_true(BN_hex2bn(&cof, test->cof))
         || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))
-        || !TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
-                                                           ctx)))
+        || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
         goto err;
     TEST_info("%s -- Generator", test->name);
     test_output_bignum("x", x);
@@ -867,9 +865,8 @@ static int char2_curve_test(int n)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-    if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone,
-                    ctx))
-        || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
+    if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
         || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
         || !TEST_true(BN_hex2bn(&z, test->order))
         || !TEST_true(BN_hex2bn(&cof, test->cof))
@@ -888,8 +885,7 @@ static int char2_curve_test(int n)
 
     /* more tests using the last curve */
     if (n == OSSL_NELEM(char2_curve_tests) - 1) {
-        if (!TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y,
-                                                                ctx))
+        if (!TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
             || !TEST_true(EC_POINT_copy(Q, P))
             || !TEST_false(EC_POINT_is_at_infinity(group, Q))
             || !TEST_true(EC_POINT_dbl(group, P, P, ctx))
@@ -989,7 +985,7 @@ static int char2_field_tests(void)
                                                     * so that the library gets
                                                     * to choose the EC_METHOD */
     if (!TEST_ptr(group)
-        || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
         || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group)))
         || !TEST_true(EC_GROUP_copy(tmp, group)))
         goto err;
@@ -997,7 +993,7 @@ static int char2_field_tests(void)
     group = tmp;
     tmp = NULL;
 
-    if (!TEST_true(EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)))
+    if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
         goto err;
 
     TEST_info("Curve defined by Weierstrass equation");
@@ -1025,19 +1021,17 @@ static int char2_field_tests(void)
         || !TEST_true(BN_hex2bn(&x, "6"))
 /* Change test based on whether binary point compression is enabled or not. */
 #  ifdef OPENSSL_EC_BIN_PT_COMP
-        || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1,
-                                                               ctx))
+        || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx))
 #  else
         || !TEST_true(BN_hex2bn(&y, "8"))
-        || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(group, Q, x, y, ctx))
 #  endif
        )
         goto err;
     if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
 /* Change test based on whether binary point compression is enabled or not. */
 #  ifdef OPENSSL_EC_BIN_PT_COMP
-        if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y,
-                                                            ctx)))
+        if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx)))
             goto err;
 #  endif
         TEST_info("Point is not on curve");
@@ -1055,8 +1049,8 @@ static int char2_field_tests(void)
         if (EC_POINT_is_at_infinity(group, P))
             TEST_note("     point at infinity");
         else {
-            if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y,
-                                                                ctx)))
+            if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
+                                                           ctx)))
                 goto err;
 
             test_output_bignum("x", x);
@@ -1076,7 +1070,7 @@ static int char2_field_tests(void)
 /* Change test based on whether binary point compression is enabled or not. */
 #  ifdef OPENSSL_EC_BIN_PT_COMP
     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED,
-                             buf, sizeof buf, ctx);
+                             buf, sizeof(buf), ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
@@ -1086,7 +1080,7 @@ static int char2_field_tests(void)
 #  endif
 
     len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
-                             buf, sizeof buf, ctx);
+                             buf, sizeof(buf), ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
         || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
@@ -1097,7 +1091,7 @@ static int char2_field_tests(void)
 /* Change test based on whether binary point compression is enabled or not. */
 #  ifdef OPENSSL_EC_BIN_PT_COMP
     len =
-        EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
+        EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf),
                            ctx);
     if (!TEST_size_t_ne(len, 0)
         || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx))
@@ -1157,12 +1151,6 @@ static int internal_curve_test_method(int n)
     int r, nid = curves[n].nid;
     EC_GROUP *group;
 
-    /*
-     * Skip for X25519 because low level operations such as EC_POINT_mul()
-     * are not supported for this curve
-     */
-    if (nid == NID_X25519)
-        return 1;
     if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
         TEST_info("Curve %s failed\n", OBJ_nid2sn(nid));
         return 0;
@@ -1172,13 +1160,50 @@ static int internal_curve_test_method(int n)
     return r;
 }
 
+static int group_field_test(void)
+{
+    int r = 1;
+    BIGNUM *secp521r1_field = NULL;
+    BIGNUM *sect163r2_field = NULL;
+    EC_GROUP *secp521r1_group = NULL;
+    EC_GROUP *sect163r2_group = NULL;
+
+    BN_hex2bn(&secp521r1_field,
+                "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFF");
+
+
+    BN_hex2bn(&sect163r2_field,
+                "08000000000000000000000000000000"
+                "00000000C9");
+
+    secp521r1_group = EC_GROUP_new_by_curve_name(NID_secp521r1);
+    if (BN_cmp(secp521r1_field, EC_GROUP_get0_field(secp521r1_group)))
+      r = 0;
+
+    # ifndef OPENSSL_NO_EC2M
+    sect163r2_group = EC_GROUP_new_by_curve_name(NID_sect163r2);
+    if (BN_cmp(sect163r2_field, EC_GROUP_get0_field(sect163r2_group)))
+      r = 0;
+    # endif
+
+    EC_GROUP_free(secp521r1_group);
+    EC_GROUP_free(sect163r2_group);
+    BN_free(secp521r1_field);
+    BN_free(sect163r2_field);
+    return r;
+}
+
 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 /*
  * nistp_test_params contains magic numbers for testing our optimized
  * implementations of several NIST curves with characteristic > 3.
  */
 struct nistp_test_params {
-    const EC_METHOD *(*meth) ();
+    const EC_METHOD *(*meth) (void);
     int degree;
     /*
      * Qx, Qy and D are taken from
@@ -1306,7 +1331,7 @@ static int nistp_single_test(int idx)
         || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
         || !TEST_true(BN_hex2bn(&a, test->a))
         || !TEST_true(BN_hex2bn(&b, test->b))
-        || !TEST_true(EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx))
+        || !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx))
         || !TEST_ptr(G = EC_POINT_new(NISTP))
         || !TEST_ptr(P = EC_POINT_new(NISTP))
         || !TEST_ptr(Q = EC_POINT_new(NISTP))
@@ -1318,13 +1343,13 @@ static int nistp_single_test(int idx)
      * When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
      * and therefore setting the coordinates should fail.
      */
-        || !TEST_false(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x,
-                                                           yplusone, ctx))
-        || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y,
-                                                          ctx))
+        || !TEST_false(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x,
+                                                       yplusone, ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, y,
+                                                      ctx))
         || !TEST_true(BN_hex2bn(&x, test->Gx))
         || !TEST_true(BN_hex2bn(&y, test->Gy))
-        || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx))
+        || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx))
         || !TEST_true(BN_hex2bn(&order, test->order))
         || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))
         || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree))
@@ -1388,6 +1413,15 @@ static int nistp_single_test(int idx)
     if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
         goto err;
 
+    /* regression test for felem_neg bug */
+    if (!TEST_true(BN_set_word(m, 32))
+        || !TEST_true(BN_set_word(n, 31))
+        || !TEST_true(EC_POINT_copy(P, G))
+        || !TEST_true(EC_POINT_invert(NISTP, P, ctx))
+        || !TEST_true(EC_POINT_mul(NISTP, Q, m, P, n, ctx))
+        || !TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, G, ctx)))
+      goto err;
+
     r = group_order_tests(NISTP);
 err:
     EC_GROUP_free(NISTP);
@@ -1407,22 +1441,418 @@ err:
     BN_CTX_free(ctx);
     return r;
 }
+
+/*
+ * Tests a point known to cause an incorrect underflow in an old version of
+ * ecp_nist521.c
+ */
+static int underflow_test(void)
+{
+    BN_CTX *ctx = NULL;
+    EC_GROUP *grp = NULL;
+    EC_POINT *P = NULL, *Q = NULL, *R = NULL;
+    BIGNUM *x1 = NULL, *y1 = NULL, *z1 = NULL, *x2 = NULL, *y2 = NULL;
+    BIGNUM *k = NULL;
+    int testresult = 0;
+    const char *x1str =
+        "1534f0077fffffe87e9adcfe000000000000000000003e05a21d2400002e031b1f4"
+        "b80000c6fafa4f3c1288798d624a247b5e2ffffffffffffffefe099241900004";
+    const char *p521m1 =
+        "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+        "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe";
+
+    ctx = BN_CTX_new();
+    if (!TEST_ptr(ctx))
+        return 0;
+
+    BN_CTX_start(ctx);
+    x1 = BN_CTX_get(ctx);
+    y1 = BN_CTX_get(ctx);
+    z1 = BN_CTX_get(ctx);
+    x2 = BN_CTX_get(ctx);
+    y2 = BN_CTX_get(ctx);
+    k = BN_CTX_get(ctx);
+    if (!TEST_ptr(k))
+        goto err;
+
+    grp = EC_GROUP_new_by_curve_name(NID_secp521r1);
+    P = EC_POINT_new(grp);
+    Q = EC_POINT_new(grp);
+    R = EC_POINT_new(grp);
+    if (!TEST_ptr(grp) || !TEST_ptr(P) || !TEST_ptr(Q) || !TEST_ptr(R))
+        goto err;
+
+    if (!TEST_int_gt(BN_hex2bn(&x1, x1str), 0)
+            || !TEST_int_gt(BN_hex2bn(&y1, p521m1), 0)
+            || !TEST_int_gt(BN_hex2bn(&z1, p521m1), 0)
+            || !TEST_int_gt(BN_hex2bn(&k, "02"), 0)
+            || !TEST_true(EC_POINT_set_Jprojective_coordinates_GFp(grp, P, x1,
+                                                                   y1, z1, ctx))
+            || !TEST_true(EC_POINT_mul(grp, Q, NULL, P, k, ctx))
+            || !TEST_true(EC_POINT_get_affine_coordinates(grp, Q, x1, y1, ctx))
+            || !TEST_true(EC_POINT_dbl(grp, R, P, ctx))
+            || !TEST_true(EC_POINT_get_affine_coordinates(grp, R, x2, y2, ctx)))
+        goto err;
+
+    if (!TEST_int_eq(BN_cmp(x1, x2), 0)
+            || !TEST_int_eq(BN_cmp(y1, y2), 0))
+        goto err;
+
+    testresult = 1;
+
+ err:
+    BN_CTX_end(ctx);
+    EC_POINT_free(P);
+    EC_POINT_free(Q);
+    EC_POINT_free(R);
+    EC_GROUP_free(grp);
+    BN_CTX_free(ctx);
+
+    return testresult;
+}
 # endif
 
+static const unsigned char p521_named[] = {
+    0x06, 0x05, 0x2b, 0x81, 0x04, 0x00, 0x23,
+};
+
+static const unsigned char p521_explicit[] = {
+    0x30, 0x82, 0x01, 0xc3, 0x02, 0x01, 0x01, 0x30, 0x4d, 0x06, 0x07, 0x2a,
+    0x86, 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x42, 0x01, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0x30, 0x81, 0x9f, 0x04, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xfc, 0x04, 0x42, 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a,
+    0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72,
+    0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09,
+    0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0,
+    0xbd, 0x3b, 0xb1, 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34,
+    0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00, 0x03, 0x15, 0x00,
+    0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, 0x67, 0x17,
+    0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba, 0x04, 0x81, 0x85, 0x04,
+    0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e,
+    0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f,
+    0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b,
+    0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff,
+    0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e,
+    0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78,
+    0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9,
+    0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17,
+    0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40,
+    0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86,
+    0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
+    0x02, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+    0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa,
+    0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48,
+    0xf7, 0x09, 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae,
+    0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09, 0x02, 0x01, 0x01,
+};
+
+/*
+ * This test validates a named curve's group parameters using
+ * EC_GROUP_check_named_curve(). It also checks that modifying any of the
+ * group parameters results in the curve not being valid.
+ */
+static int check_named_curve_test(int id)
+{
+    int ret = 0, nid, field_nid, has_seed;
+    EC_GROUP *group = NULL, *gtest = NULL;
+    const EC_POINT *group_gen = NULL;
+    EC_POINT *other_gen = NULL;
+    BIGNUM *group_p = NULL, *group_a = NULL, *group_b = NULL;
+    BIGNUM *other_p = NULL, *other_a = NULL, *other_b = NULL;
+    BIGNUM *group_cofactor = NULL, *other_cofactor = NULL;
+    BIGNUM *other_order = NULL;
+    const BIGNUM *group_order = NULL;
+    BN_CTX *bn_ctx = NULL;
+    static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED";
+    static size_t invalid_seed_len = sizeof(invalid_seed);
+
+    /* Do some setup */
+    nid = curves[id].nid;
+    if (!TEST_ptr(bn_ctx = BN_CTX_new())
+        || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
+        || !TEST_ptr(gtest = EC_GROUP_dup(group))
+        || !TEST_ptr(group_p = BN_new())
+        || !TEST_ptr(group_a = BN_new())
+        || !TEST_ptr(group_b = BN_new())
+        || !TEST_ptr(group_cofactor = BN_new())
+        || !TEST_ptr(group_gen = EC_GROUP_get0_generator(group))
+        || !TEST_ptr(group_order = EC_GROUP_get0_order(group))
+        || !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL))
+        || !TEST_true(EC_GROUP_get_curve(group, group_p, group_a, group_b, NULL))
+        || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group))
+        || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL))
+        || !TEST_ptr(other_order = BN_dup(group_order))
+        || !TEST_true(BN_add_word(other_order, 1))
+        || !TEST_ptr(other_a = BN_dup(group_a))
+        || !TEST_true(BN_add_word(other_a, 1))
+        || !TEST_ptr(other_b = BN_dup(group_b))
+        || !TEST_true(BN_add_word(other_b, 1))
+        || !TEST_ptr(other_cofactor = BN_dup(group_cofactor))
+        || !TEST_true(BN_add_word(other_cofactor, 1)))
+        goto err;
+
+    /* Determine if the built-in curve has a seed field set */
+    has_seed = (EC_GROUP_get_seed_len(group) > 0);
+    field_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group));
+    if (field_nid == NID_X9_62_characteristic_two_field) {
+        if (!TEST_ptr(other_p = BN_dup(group_p))
+            || !TEST_true(BN_lshift1(other_p, other_p)))
+            goto err;
+    } else {
+        if (!TEST_ptr(other_p = BN_dup(group_p)))
+            goto err;
+        /*
+         * Just choosing any arbitrary prime does not work..
+         * Setting p via ec_GFp_nist_group_set_curve() needs the prime to be a
+         * nist prime. So only select one of these as an alternate prime.
+         */
+        if (!TEST_ptr(BN_copy(other_p,
+                              BN_ucmp(BN_get0_nist_prime_192(), other_p) == 0 ?
+                                      BN_get0_nist_prime_256() :
+                                      BN_get0_nist_prime_192())))
+            goto err;
+    }
+
+    /* Passes because this is a valid curve */
+    if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0), nid)
+        /* Only NIST curves pass */
+        || !TEST_int_eq(EC_GROUP_check_named_curve(group, 1),
+                        EC_curve_nid2nist(nid) != NULL ? nid : NID_undef))
+        goto err;
+
+    /* Fail if the curve name doesn't match the parameters */
+    EC_GROUP_set_curve_name(group, nid + 1);
+    ERR_set_mark();
+    if (!TEST_int_le(EC_GROUP_check_named_curve(group, 0), 0))
+        goto err;
+    ERR_pop_to_mark();
+
+    /* Restore curve name and ensure it's passing */
+    EC_GROUP_set_curve_name(group, nid);
+    if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0), nid))
+        goto err;
+
+    if (!TEST_int_eq(EC_GROUP_set_seed(group, invalid_seed, invalid_seed_len),
+                     invalid_seed_len))
+        goto err;
+
+    if (has_seed) {
+        /*
+         * If the built-in curve has a seed and we set the seed to another value
+         * then it will fail the check.
+         */
+        if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0), 0))
+            goto err;
+    } else {
+        /*
+         * If the built-in curve does not have a seed then setting the seed will
+         * pass the check (as the seed is optional).
+         */
+        if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0), nid))
+            goto err;
+    }
+    /* Pass if the seed is unknown (as it is optional) */
+    if (!TEST_int_eq(EC_GROUP_set_seed(group, NULL, 0), 1)
+        || !TEST_int_eq(EC_GROUP_check_named_curve(group, 0), nid))
+        goto err;
+
+    /* Check that a duped group passes */
+    if (!TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), nid))
+        goto err;
+
+    /* check that changing any generator parameter fails */
+    if (!TEST_true(EC_GROUP_set_generator(gtest, other_gen, group_order,
+                                          group_cofactor))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), 0)
+        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, other_order,
+                                             group_cofactor))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), 0)
+        /* The order is not an optional field, so this should fail */
+        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, NULL,
+                                             group_cofactor))
+        || !TEST_int_le(EC_GROUP_check_named_curve(gtest, 0), 0)
+        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
+                                             other_cofactor))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), 0)
+        /* Check that if the cofactor is not set then it still passes */
+        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
+                                             NULL))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), nid)
+        /* check that restoring the generator passes */
+        || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
+                                             group_cofactor))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), nid))
+        goto err;
+
+    /*
+     * check that changing any curve parameter fails
+     *
+     * Setting arbitrary p, a or b might fail for some EC_GROUPs
+     * depending on the internal EC_METHOD implementation, hence run
+     * these tests conditionally to the success of EC_GROUP_set_curve().
+     */
+    ERR_set_mark();
+    if (EC_GROUP_set_curve(gtest, other_p, group_a, group_b, NULL)) {
+        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0), 0))
+            goto err;
+    } else {
+        /* clear the error stack if EC_GROUP_set_curve() failed */
+        ERR_pop_to_mark();
+        ERR_set_mark();
+    }
+    if (EC_GROUP_set_curve(gtest, group_p, other_a, group_b, NULL)) {
+        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0), 0))
+            goto err;
+    } else {
+        /* clear the error stack if EC_GROUP_set_curve() failed */
+        ERR_pop_to_mark();
+        ERR_set_mark();
+    }
+    if (EC_GROUP_set_curve(gtest, group_p, group_a, other_b, NULL)) {
+        if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0), 0))
+            goto err;
+    } else {
+        /* clear the error stack if EC_GROUP_set_curve() failed */
+        ERR_pop_to_mark();
+        ERR_set_mark();
+    }
+    ERR_pop_to_mark();
+
+    /* Check that restoring the curve parameters passes */
+    if (!TEST_true(EC_GROUP_set_curve(gtest, group_p, group_a, group_b, NULL))
+        || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0), nid))
+        goto err;
+
+    ret = 1;
+err:
+    BN_free(group_p);
+    BN_free(other_p);
+    BN_free(group_a);
+    BN_free(other_a);
+    BN_free(group_b);
+    BN_free(other_b);
+    BN_free(group_cofactor);
+    BN_free(other_cofactor);
+    BN_free(other_order);
+    EC_POINT_free(other_gen);
+    EC_GROUP_free(gtest);
+    EC_GROUP_free(group);
+    BN_CTX_free(bn_ctx);
+    return ret;
+}
+
+/*
+ * This checks the lookup capability of EC_GROUP_check_named_curve()
+ * when the given group was created with explicit parameters.
+ *
+ * It is possible to retrieve an alternative alias that does not match
+ * the original nid in this case.
+ */
+static int check_named_curve_lookup_test(int id)
+{
+    int ret = 0, nid, rv = 0;
+    EC_GROUP *g = NULL , *ga = NULL;
+    ECPARAMETERS *p = NULL, *pa = NULL;
+    BN_CTX *ctx = NULL;
+
+    /* Do some setup */
+    nid = curves[id].nid;
+    if (!TEST_ptr(ctx = BN_CTX_new())
+        || !TEST_ptr(g = EC_GROUP_new_by_curve_name(nid))
+        || !TEST_ptr(p = EC_GROUP_get_ecparameters(g, NULL)))
+        goto err;
+
+    /* replace with group from explicit parameters */
+    EC_GROUP_free(g);
+    if (!TEST_ptr(g = EC_GROUP_new_from_ecparameters(p)))
+        goto err;
+
+    if (!TEST_int_gt(rv = EC_GROUP_check_named_curve(g, 0), 0))
+        goto err;
+    if (rv != nid) {
+        /*
+         * Found an alias:
+         * fail if the returned nid is not an alias of the original group.
+         *
+         * The comparison here is done by comparing two explicit
+         * parameter EC_GROUPs with EC_GROUP_cmp(), to ensure the
+         * comparison happens with unnamed EC_GROUPs using the same
+         * EC_METHODs.
+         */
+        if (!TEST_ptr(ga = EC_GROUP_new_by_curve_name(rv))
+                || !TEST_ptr(pa = EC_GROUP_get_ecparameters(ga, NULL)))
+            goto err;
+
+        /* replace with group from explicit parameters, then compare */
+        EC_GROUP_free(ga);
+        if (!TEST_ptr(ga = EC_GROUP_new_from_ecparameters(pa))
+                || !TEST_int_eq(EC_GROUP_cmp(g, ga, ctx), 0))
+            goto err;
+    }
+
+    ret = 1;
+
+ err:
+    EC_GROUP_free(g);
+    EC_GROUP_free(ga);
+    ECPARAMETERS_free(p);
+    ECPARAMETERS_free(pa);
+    BN_CTX_free(ctx);
+
+    return ret;
+}
+
 static int parameter_test(void)
 {
     EC_GROUP *group = NULL, *group2 = NULL;
     ECPARAMETERS *ecparameters = NULL;
-    int r;
+    unsigned char *buf = NULL;
+    int r = 0, len;
+
+    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp112r1))
+        || !TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
+        || !TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
+        || !TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0))
+        goto err;
+
+    EC_GROUP_free(group);
+    group = NULL;
+
+    /* Test the named curve encoding, which should be default. */
+    if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp521r1))
+        || !TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
+        || !TEST_mem_eq(buf, len, p521_named, sizeof(p521_named)))
+        goto err;
 
-    r = TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp112r1))
-        && TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
-        && TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
-        && TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0);
+    OPENSSL_free(buf);
+    buf = NULL;
 
+    /*
+     * Test the explicit encoding. P-521 requires correctly zero-padding the
+     * curve coefficients.
+     */
+    EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
+    if (!TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
+        || !TEST_mem_eq(buf, len, p521_explicit, sizeof(p521_explicit)))
+        goto err;
+
+    r = 1;
+err:
     EC_GROUP_free(group);
     EC_GROUP_free(group2);
     ECPARAMETERS_free(ecparameters);
+    OPENSSL_free(buf);
     return r;
 }
 #endif
@@ -1443,14 +1873,20 @@ int setup_tests(void)
 # endif
 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
     ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params));
+    ADD_TEST(underflow_test);
 # endif
     ADD_ALL_TESTS(internal_curve_test, crv_len);
     ADD_ALL_TESTS(internal_curve_test_method, crv_len);
+    ADD_TEST(group_field_test);
+    ADD_ALL_TESTS(check_named_curve_test, crv_len);
+    ADD_ALL_TESTS(check_named_curve_lookup_test, crv_len);
 #endif
     return 1;
 }
 
 void cleanup_tests(void)
 {
+#ifndef OPENSSL_NO_EC
     OPENSSL_free(curves);
+#endif
 }