[Feature][T106]ZXW P56U09 code
Only Configure: Yes
Affected branch: master
Affected module: unknow
Is it affected on both ZXIC and MTK: only ZXIC
Self-test: No
Doc Update: No
Change-Id: I3cbd8b420271eb20c2b40ebe5c78f83059cd42f3
diff --git a/ap/lib/libssl/openssl-1.1.1o/test/ectest.c b/ap/lib/libssl/openssl-1.1.1o/test/ectest.c
new file mode 100644
index 0000000..bd3c4d8
--- /dev/null
+++ b/ap/lib/libssl/openssl-1.1.1o/test/ectest.c
@@ -0,0 +1,2270 @@
+/*
+ * Copyright 2001-2021 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
+ * 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 "internal/nelem.h"
+#include "testutil.h"
+
+#ifndef OPENSSL_NO_EC
+# include <openssl/ec.h>
+# ifndef OPENSSL_NO_ENGINE
+# include <openssl/engine.h>
+# endif
+# include <openssl/err.h>
+# include <openssl/obj_mac.h>
+# include <openssl/objects.h>
+# include <openssl/rand.h>
+# include <openssl/bn.h>
+# include <openssl/opensslconf.h>
+
+static size_t crv_len = 0;
+static EC_builtin_curve *curves = NULL;
+
+/* test multiplication with group order, long and negative scalars */
+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;
+
+ if (!TEST_ptr(n1 = BN_new())
+ || !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))
+ || !TEST_ptr(S = EC_POINT_new(group)))
+ goto err;
+
+ if (!TEST_true(EC_GROUP_get_order(group, order, ctx))
+ || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
+ || !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_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++) {
+ const BIGNUM *scalars[6];
+ const EC_POINT *points[6];
+
+ if (!TEST_true(BN_set_word(n1, i))
+ /*
+ * If i == 1, P will be the predefined generator for which
+ * 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))
+ || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
+
+ /* n2 = 1 + order */
+ || !TEST_true(BN_add(n2, order, BN_value_one()))
+ || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))
+
+ /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
+ || !TEST_true(BN_mul(n2, n1, n2, ctx))
+ || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)))
+ goto err;
+
+ /* n2 = order^2 - 1 */
+ BN_set_negative(n2, 0);
+ if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx))
+ /* Add P to verify the result. */
+ || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, Q))
+
+ /* Exercise EC_POINTs_mul, including corner cases. */
+ || !TEST_false(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+ scalars[0] = scalars[1] = BN_value_one();
+ points[0] = points[1] = P;
+
+ if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
+ || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx)))
+ goto err;
+
+ scalars[0] = n1;
+ points[0] = Q; /* => infinity */
+ scalars[1] = n2;
+ points[1] = P; /* => -P */
+ scalars[2] = n1;
+ points[2] = Q; /* => infinity */
+ scalars[3] = n2;
+ points[3] = Q; /* => infinity */
+ scalars[4] = n1;
+ points[4] = P; /* => P */
+ scalars[5] = n2;
+ points[5] = Q; /* => infinity */
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+ }
+
+ r = 1;
+err:
+ if (r == 0 && i != 0)
+ TEST_info(i == 1 ? "allowing precomputation" :
+ "without precomputation");
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ EC_POINT_free(S);
+ BN_free(n1);
+ BN_free(n2);
+ BN_free(order);
+ BN_CTX_free(ctx);
+ return r;
+}
+
+static int prime_field_tests(void)
+{
+ BN_CTX *ctx = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL;
+ EC_GROUP *group = NULL, *tmp = NULL;
+ EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL,
+ *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
+ EC_POINT *P = NULL, *Q = NULL, *R = NULL;
+ BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL;
+ const EC_POINT *points[4];
+ const BIGNUM *scalars[4];
+ unsigned char buf[100];
+ size_t len, r = 0;
+ int k;
+
+ if (!TEST_ptr(ctx = BN_CTX_new())
+ || !TEST_ptr(p = BN_new())
+ || !TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_true(BN_hex2bn(&p, "17"))
+ || !TEST_true(BN_hex2bn(&a, "1"))
+ || !TEST_true(BN_hex2bn(&b, "1"))
+ /*
+ * applications should use EC_GROUP_new_curve_GFp so
+ * 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(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;
+ EC_GROUP_free(group);
+ group = tmp;
+ tmp = NULL;
+
+ if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
+ goto err;
+
+ TEST_info("Curve defined by Weierstrass equation");
+ TEST_note(" y^2 = x^3 + a*x + b (mod p)");
+ test_output_bignum("a", a);
+ test_output_bignum("b", b);
+ test_output_bignum("p", p);
+
+ buf[0] = 0;
+ if (!TEST_ptr(P = EC_POINT_new(group))
+ || !TEST_ptr(Q = EC_POINT_new(group))
+ || !TEST_ptr(R = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_to_infinity(group, P))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P))
+ || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
+ || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P))
+ || !TEST_ptr(x = BN_new())
+ || !TEST_ptr(y = BN_new())
+ || !TEST_ptr(z = BN_new())
+ || !TEST_ptr(yplusone = BN_new())
+ || !TEST_true(BN_hex2bn(&x, "D"))
+ || !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(group, Q, x, y, ctx)))
+ goto err;
+ TEST_info("Point is not on curve");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ goto err;
+ }
+
+ TEST_note("A cyclic subgroup:");
+ k = 100;
+ do {
+ if (!TEST_int_ne(k--, 0))
+ goto err;
+
+ if (EC_POINT_is_at_infinity(group, P)) {
+ TEST_note(" point at infinity");
+ } else {
+ if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
+ ctx)))
+ goto err;
+
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ }
+
+ if (!TEST_true(EC_POINT_copy(R, P))
+ || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
+ goto err;
+
+ } while (!EC_POINT_is_at_infinity(group, P));
+
+ if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+ len =
+ EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, 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)))
+ goto err;
+ test_output_memory("Generator as octet string, compressed form:",
+ buf, len);
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
+ 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)))
+ goto err;
+ test_output_memory("Generator as octet string, uncompressed form:",
+ buf, len);
+
+ len = 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))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx)))
+ goto err;
+ test_output_memory("Generator as octet string, hybrid form:",
+ buf, len);
+
+ if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z,
+ ctx)))
+ goto err;
+ TEST_info("A representation of the inverse of that generator in");
+ TEST_note("Jacobian projective coordinates");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ test_output_bignum("z", z);
+
+ if (!TEST_true(EC_POINT_invert(group, P, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
+
+ /*
+ * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
+ * 2000) -- not a NIST curve, but commonly used
+ */
+
+ || !TEST_true(BN_hex2bn(&p, "FFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "FFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
+ || !TEST_true(BN_hex2bn(&b, "1C97BEFC"
+ "54BD7A8B65ACF89F81D4D4ADC565FA45"))
+ || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
+ || !TEST_true(BN_hex2bn(&x, "4A96B568"
+ "8EF573284664698968C38BB913CBFC82"))
+ || !TEST_true(BN_hex2bn(&y, "23a62855"
+ "3168947d59dcc912042351377ac5fb32"))
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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(group, P, x, y, ctx)))
+ goto err;
+ TEST_info("SEC2 curve secp160r1 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "23a62855"
+ "3168947d59dcc912042351377ac5fb32"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_int_eq(EC_GROUP_get_degree(group), 160)
+ || !group_order_tests(group)
+ || !TEST_ptr(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))
+ || !TEST_true(EC_GROUP_copy(P_160, group))
+
+ /* Curve P-192 (FIPS PUB 186-2, App. 6) */
+
+ || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
+ || !TEST_true(BN_hex2bn(&b, "64210519E59C80E7"
+ "0FA7E9AB72243049FEB8DEECC146B9B1"))
+ || !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(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(group, P, x, y, ctx)))
+ goto err;
+
+ TEST_info("NIST curve P-192 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "07192B95FFC8DA78"
+ "631011ED6B24CDD573F977A11E794811"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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)))
+ || !TEST_true(EC_GROUP_copy(P_192, group))
+
+ /* Curve P-224 (FIPS PUB 186-2, App. 6) */
+
+ || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFF000000000000000000000001"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
+ || !TEST_true(BN_hex2bn(&b, "B4050A850C04B3ABF5413256"
+ "5044B0B7D7BFD8BA270B39432355FFB4"))
+ || !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(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(group, P, x, y, ctx)))
+ goto err;
+
+ TEST_info("NIST curve P-224 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6"
+ "CD4375A05A07476444D5819985007E34"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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)))
+ || !TEST_true(EC_GROUP_copy(P_224, group))
+
+ /* Curve P-256 (FIPS PUB 186-2, App. 6) */
+
+ || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000"
+ "00000000FFFFFFFFFFFFFFFFFFFFFFFF"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000"
+ "00000000FFFFFFFFFFFFFFFFFFFFFFFC"))
+ || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC"
+ "651D06B0CC53B0F63BCE3C3E27D2604B"))
+ || !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(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(group, P, x, y, ctx)))
+ goto err;
+
+ TEST_info("NIST curve P-256 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16"
+ "2BCE33576B315ECECBB6406837BF51F5"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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)))
+ || !TEST_true(EC_GROUP_copy(P_256, group))
+
+ /* Curve P-384 (FIPS PUB 186-2, App. 6) */
+
+ || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
+ "FFFFFFFF0000000000000000FFFFFFFF"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
+ "FFFFFFFF0000000000000000FFFFFFFC"))
+ || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19"
+ "181D9C6EFE8141120314088F5013875A"
+ "C656398D8A2ED19D2A85C8EDD3EC2AEF"))
+ || !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(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(group, P, x, y, ctx)))
+ goto err;
+
+ TEST_info("NIST curve P-384 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29"
+ "F8F41DBD289A147CE9DA3113B5F0B8C0"
+ "0A60B1CE1D7E819D7A431D7C90EA0E5F"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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)))
+ || !TEST_true(EC_GROUP_copy(P_384, group))
+
+ /* Curve P-521 (FIPS PUB 186-2, App. 6) */
+ || !TEST_true(BN_hex2bn(&p, "1FF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
+ || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
+ || !TEST_true(BN_hex2bn(&a, "1FF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
+ || !TEST_true(BN_hex2bn(&b, "051"
+ "953EB9618E1C9A1F929A21A0B68540EE"
+ "A2DA725B99B315F3B8B489918EF109E1"
+ "56193951EC7E937B1652C0BD3BB1BF07"
+ "3573DF883D2C34F1EF451FD46B503F00"))
+ || !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(group, P, x, 0, ctx))
+ || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
+ || !TEST_true(BN_hex2bn(&z, "1FF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA"
+ "51868783BF2F966B7FCC0148F709A5D0"
+ "3BB5C9B8899C47AEBB6FB71E91386409"))
+ || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one()))
+ || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
+ goto err;
+
+ TEST_info("NIST curve P-521 -- Generator");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, "118"
+ "39296A789A3BC0045C8A5FB42C7D1BD9"
+ "98F54449579B446817AFBD17273E662C"
+ "97EE72995EF42640C550B9013FAD0761"
+ "353C7086A272C24088BE94769FD16650"))
+ || !TEST_BN_eq(y, z)
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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)))
+ || !TEST_true(EC_GROUP_copy(P_521, group))
+
+ /* 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(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))
+ || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
+ || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */
+ || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
+ || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */
+ || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
+ goto err;
+ points[0] = Q;
+ points[1] = Q;
+ points[2] = Q;
+ points[3] = Q;
+
+ if (!TEST_true(EC_GROUP_get_order(group, z, ctx))
+ || !TEST_true(BN_add(y, z, BN_value_one()))
+ || !TEST_BN_even(y)
+ || !TEST_true(BN_rshift1(y, y)))
+ goto err;
+ scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
+ scalars[1] = y;
+
+ TEST_note("combined multiplication ...");
+
+ /* z is still the group order */
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
+ || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))
+ || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
+ || !TEST_true(BN_add(z, z, y)))
+ goto err;
+ BN_set_negative(z, 1);
+ scalars[0] = y;
+ scalars[1] = z; /* z = -(order + y) */
+
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P))
+ || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
+ || !TEST_true(BN_add(z, x, y)))
+ goto err;
+ BN_set_negative(z, 1);
+ scalars[0] = x;
+ scalars[1] = y;
+ scalars[2] = z; /* z = -(x+y) */
+
+ if (!TEST_ptr(scalar3 = BN_new()))
+ goto err;
+ BN_zero(scalar3);
+ scalars[3] = scalar3;
+
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+ TEST_note(" ok\n");
+
+
+ r = 1;
+err:
+ BN_CTX_free(ctx);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ EC_GROUP_free(group);
+ EC_GROUP_free(tmp);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ BN_free(x);
+ BN_free(y);
+ BN_free(z);
+ BN_free(yplusone);
+ BN_free(scalar3);
+
+ EC_GROUP_free(P_160);
+ EC_GROUP_free(P_192);
+ EC_GROUP_free(P_224);
+ EC_GROUP_free(P_256);
+ EC_GROUP_free(P_384);
+ EC_GROUP_free(P_521);
+ return r;
+}
+
+# ifndef OPENSSL_NO_EC2M
+
+static struct c2_curve_test {
+ const char *name;
+ const char *p;
+ const char *a;
+ const char *b;
+ const char *x;
+ const char *y;
+ int ybit;
+ const char *order;
+ const char *cof;
+ int degree;
+} char2_curve_tests[] = {
+ /* Curve K-163 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve K-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "1",
+ "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
+ "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
+ 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163
+ },
+ /* Curve B-163 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve B-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "020A601907B8C953CA1481EB10512F78744A3205FD",
+ "03F0EBA16286A2D57EA0991168D4994637E8343E36",
+ "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
+ 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163
+ },
+ /* Curve K-233 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve K-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "0",
+ "1",
+ "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
+ "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
+ 0,
+ "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
+ "4", 233
+ },
+ /* Curve B-233 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve B-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "000000000000000000000000000000000000000000000000000000000001",
+ "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
+ "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
+ "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
+ 1,
+ "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
+ "2", 233
+ },
+ /* Curve K-283 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve K-283",
+ "08000000"
+ "00000000000000000000000000000000000000000000000000000000000010A1",
+ "0",
+ "1",
+ "0503213F"
+ "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
+ "01CCDA38"
+ "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
+ 0,
+ "01FFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
+ "4", 283
+ },
+ /* Curve B-283 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve B-283",
+ "08000000"
+ "00000000000000000000000000000000000000000000000000000000000010A1",
+ "00000000"
+ "0000000000000000000000000000000000000000000000000000000000000001",
+ "027B680A"
+ "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
+ "05F93925"
+ "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
+ "03676854"
+ "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
+ 1,
+ "03FFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
+ "2", 283
+ },
+ /* Curve K-409 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve K-409",
+ "0200000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000008000000000000000000001",
+ "0",
+ "1",
+ "0060F05F658F49C1AD3AB1890F7184210EFD0987"
+ "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
+ "01E369050B7C4E42ACBA1DACBF04299C3460782F"
+ "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
+ 1,
+ "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
+ "4", 409
+ },
+ /* Curve B-409 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve B-409",
+ "0200000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000008000000000000000000001",
+ "0000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000001",
+ "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E"
+ "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
+ "015D4860D088DDB3496B0C6064756260441CDE4A"
+ "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
+ "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5"
+ "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
+ 1,
+ "0100000000000000000000000000000000000000"
+ "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
+ "2", 409
+ },
+ /* Curve K-571 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve K-571",
+ "800000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000425",
+ "0",
+ "1",
+ "026EB7A859923FBC"
+ "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6"
+ "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
+ "0349DC807F4FBF37"
+ "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7"
+ "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
+ 0,
+ "0200000000000000"
+ "00000000000000000000000000000000000000000000000000000000131850E1"
+ "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
+ "4", 571
+ },
+ /* Curve B-571 (FIPS PUB 186-2, App. 6) */
+ {
+ "NIST curve B-571",
+ "800000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000425",
+ "0000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000001",
+ "02F40E7E2221F295"
+ "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933"
+ "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
+ "0303001D34B85629"
+ "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293"
+ "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
+ "037BF27342DA639B"
+ "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57"
+ "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
+ 1,
+ "03FFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18"
+ "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
+ "2", 571
+ }
+};
+
+static int char2_curve_test(int n)
+{
+ int r = 0;
+ BN_CTX *ctx = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL;
+ BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
+ EC_GROUP *group = NULL, *variable = NULL;
+ EC_POINT *P = NULL, *Q = NULL, *R = NULL;
+ const EC_POINT *points[3];
+ const BIGNUM *scalars[3];
+ struct c2_curve_test *const test = char2_curve_tests + n;
+
+ if (!TEST_ptr(ctx = BN_CTX_new())
+ || !TEST_ptr(p = BN_new())
+ || !TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_ptr(x = BN_new())
+ || !TEST_ptr(y = BN_new())
+ || !TEST_ptr(z = BN_new())
+ || !TEST_ptr(yplusone = BN_new())
+ || !TEST_true(BN_hex2bn(&p, test->p))
+ || !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(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))
+ || !TEST_true(BN_hex2bn(&x, test->x))
+ || !TEST_true(BN_hex2bn(&y, test->y))
+ || !TEST_true(BN_add(yplusone, y, BN_value_one())))
+ goto err;
+
+/* Change test based on whether binary point compression is enabled or not. */
+# ifdef OPENSSL_EC_BIN_PT_COMP
+ /*
+ * 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(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(group, P, x, y, ctx)))
+ goto err;
+ TEST_info("%s -- Generator", test->name);
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ /* G_y value taken from the standard: */
+ if (!TEST_true(BN_hex2bn(&z, test->y))
+ || !TEST_BN_eq(y, z))
+ goto err;
+# else
+ /*
+ * 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(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))
+ || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)))
+ goto err;
+ TEST_info("%s -- Generator:", test->name);
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+# endif
+
+ if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree)
+ || !group_order_tests(group)
+ || !TEST_ptr(variable = EC_GROUP_new(EC_GROUP_method_of(group)))
+ || !TEST_true(EC_GROUP_copy(variable, group)))
+ goto err;
+
+ /* more tests using the last curve */
+ if (n == OSSL_NELEM(char2_curve_tests) - 1) {
+ 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))
+ || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0)
+ || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */
+ || !TEST_true(EC_POINT_add(group, R, P, Q, ctx))
+ || !TEST_true(EC_POINT_add(group, R, R, Q, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */
+ || !TEST_false(EC_POINT_is_at_infinity(group, Q)))
+ goto err;
+
+ points[0] = Q;
+ points[1] = Q;
+ points[2] = Q;
+
+ if (!TEST_true(BN_add(y, z, BN_value_one()))
+ || !TEST_BN_even(y)
+ || !TEST_true(BN_rshift1(y, y)))
+ goto err;
+ scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
+ scalars[1] = y;
+
+ TEST_note("combined multiplication ...");
+
+ /* z is still the group order */
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
+ || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)))
+ goto err;
+
+ if (!TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
+ || !TEST_true(BN_add(z, z, y)))
+ goto err;
+ BN_set_negative(z, 1);
+ scalars[0] = y;
+ scalars[1] = z; /* z = -(order + y) */
+
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+ if (!TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
+ || !TEST_true(BN_add(z, x, y)))
+ goto err;
+ BN_set_negative(z, 1);
+ scalars[0] = x;
+ scalars[1] = y;
+ scalars[2] = z; /* z = -(x+y) */
+
+ if (!TEST_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;;
+ }
+
+ r = 1;
+err:
+ BN_CTX_free(ctx);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ BN_free(x);
+ BN_free(y);
+ BN_free(z);
+ BN_free(yplusone);
+ BN_free(cof);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ EC_GROUP_free(group);
+ EC_GROUP_free(variable);
+ return r;
+}
+
+static int char2_field_tests(void)
+{
+ BN_CTX *ctx = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL;
+ EC_GROUP *group = NULL, *tmp = NULL;
+ EC_POINT *P = NULL, *Q = NULL, *R = NULL;
+ BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL;
+ unsigned char buf[100];
+ size_t len;
+ int k, r = 0;
+
+ if (!TEST_ptr(ctx = BN_CTX_new())
+ || !TEST_ptr(p = BN_new())
+ || !TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_true(BN_hex2bn(&p, "13"))
+ || !TEST_true(BN_hex2bn(&a, "3"))
+ || !TEST_true(BN_hex2bn(&b, "1")))
+ goto err;
+
+ group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
+ * EC_GROUP_new_curve_GF2m
+ * so that the library gets
+ * to choose the EC_METHOD */
+ if (!TEST_ptr(group)
+ || !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;
+ EC_GROUP_free(group);
+ group = tmp;
+ tmp = NULL;
+
+ if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
+ goto err;
+
+ TEST_info("Curve defined by Weierstrass equation");
+ TEST_note(" y^2 + x*y = x^3 + a*x^2 + b (mod p)");
+ test_output_bignum("a", a);
+ test_output_bignum("b", b);
+ test_output_bignum("p", p);
+
+ if (!TEST_ptr(P = EC_POINT_new(group))
+ || !TEST_ptr(Q = EC_POINT_new(group))
+ || !TEST_ptr(R = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_to_infinity(group, P))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+ buf[0] = 0;
+ if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx))
+ || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P))
+ || !TEST_ptr(x = BN_new())
+ || !TEST_ptr(y = BN_new())
+ || !TEST_ptr(z = BN_new())
+ || !TEST_ptr(cof = BN_new())
+ || !TEST_ptr(yplusone = BN_new())
+ || !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(group, Q, x, 1, ctx))
+# else
+ || !TEST_true(BN_hex2bn(&y, "8"))
+ || !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(group, Q, x, y, ctx)))
+ goto err;
+# endif
+ TEST_info("Point is not on curve");
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ goto err;
+ }
+
+ TEST_note("A cyclic subgroup:");
+ k = 100;
+ do {
+ if (!TEST_int_ne(k--, 0))
+ goto err;
+
+ if (EC_POINT_is_at_infinity(group, P))
+ TEST_note(" point at infinity");
+ else {
+ if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
+ ctx)))
+ goto err;
+
+ test_output_bignum("x", x);
+ test_output_bignum("y", y);
+ }
+
+ if (!TEST_true(EC_POINT_copy(R, P))
+ || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
+ goto err;
+ }
+ while (!EC_POINT_is_at_infinity(group, P));
+
+ if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx))
+ || !TEST_true(EC_POINT_is_at_infinity(group, P)))
+ goto err;
+
+/* 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);
+ 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)))
+ goto err;
+ test_output_memory("Generator as octet string, compressed form:",
+ buf, len);
+# endif
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
+ 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)))
+ goto err;
+ test_output_memory("Generator as octet string, uncompressed form:",
+ buf, len);
+
+/* 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),
+ 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)))
+ goto err;
+ test_output_memory("Generator as octet string, hybrid form:",
+ buf, len);
+# endif
+
+ if (!TEST_true(EC_POINT_invert(group, P, ctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)))
+ goto err;
+
+ TEST_note("\n");
+
+ r = 1;
+err:
+ BN_CTX_free(ctx);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ EC_GROUP_free(group);
+ EC_GROUP_free(tmp);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ BN_free(x);
+ BN_free(y);
+ BN_free(z);
+ BN_free(cof);
+ BN_free(yplusone);
+ return r;
+}
+
+static int hybrid_point_encoding_test(void)
+{
+ BIGNUM *x = NULL, *y = NULL;
+ EC_GROUP *group = NULL;
+ EC_POINT *point = NULL;
+ unsigned char *buf = NULL;
+ size_t len;
+ int r = 0;
+
+ if (!TEST_true(BN_dec2bn(&x, "0"))
+ || !TEST_true(BN_dec2bn(&y, "1"))
+ || !TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_sect571k1))
+ || !TEST_ptr(point = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_affine_coordinates(group, point, x, y, NULL))
+ || !TEST_size_t_ne(0, (len = EC_POINT_point2oct(group,
+ point,
+ POINT_CONVERSION_HYBRID,
+ NULL,
+ 0,
+ NULL)))
+ || !TEST_ptr(buf = OPENSSL_malloc(len))
+ || !TEST_size_t_eq(len, EC_POINT_point2oct(group,
+ point,
+ POINT_CONVERSION_HYBRID,
+ buf,
+ len,
+ NULL)))
+ goto err;
+
+ r = 1;
+
+ /* buf contains a valid hybrid point, check that we can decode it. */
+ if (!TEST_true(EC_POINT_oct2point(group, point, buf, len, NULL)))
+ r = 0;
+
+ /* Flip the y_bit and verify that the invalid encoding is rejected. */
+ buf[0] ^= 1;
+ if (!TEST_false(EC_POINT_oct2point(group, point, buf, len, NULL)))
+ r = 0;
+
+err:
+ BN_free(x);
+ BN_free(y);
+ EC_GROUP_free(group);
+ EC_POINT_free(point);
+ OPENSSL_free(buf);
+ return r;
+}
+#endif
+
+static int internal_curve_test(int n)
+{
+ EC_GROUP *group = NULL;
+ int nid = curves[n].nid;
+
+ if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
+ TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n",
+ OBJ_nid2sn(nid));
+ return 0;
+ }
+ if (!TEST_true(EC_GROUP_check(group, NULL))) {
+ TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid));
+ EC_GROUP_free(group);
+ return 0;
+ }
+ EC_GROUP_free(group);
+ return 1;
+}
+
+static int internal_curve_test_method(int n)
+{
+ int r, nid = curves[n].nid;
+ EC_GROUP *group;
+
+ if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) {
+ TEST_info("Curve %s failed\n", OBJ_nid2sn(nid));
+ return 0;
+ }
+ r = group_order_tests(group);
+ EC_GROUP_free(group);
+ 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) (void);
+ int degree;
+ /*
+ * Qx, Qy and D are taken from
+ * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
+ * Otherwise, values are standard curve parameters from FIPS 180-3
+ */
+ const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
+};
+
+static const struct nistp_test_params nistp_tests_params[] = {
+ {
+ /* P-224 */
+ EC_GFp_nistp224_method,
+ 224,
+ /* p */
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
+ /* a */
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
+ /* b */
+ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
+ /* Qx */
+ "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E",
+ /* Qy */
+ "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555",
+ /* Gx */
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
+ /* Gy */
+ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
+ /* order */
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
+ /* d */
+ "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8",
+ },
+ {
+ /* P-256 */
+ EC_GFp_nistp256_method,
+ 256,
+ /* p */
+ "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
+ /* a */
+ "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
+ /* b */
+ "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
+ /* Qx */
+ "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19",
+ /* Qy */
+ "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09",
+ /* Gx */
+ "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
+ /* Gy */
+ "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
+ /* order */
+ "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
+ /* d */
+ "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96",
+ },
+ {
+ /* P-521 */
+ EC_GFp_nistp521_method,
+ 521,
+ /* p */
+ "1ff"
+ "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+ /* a */
+ "1ff"
+ "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+ "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
+ /* b */
+ "051"
+ "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1"
+ "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
+ /* Qx */
+ "0098"
+ "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e"
+ "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
+ /* Qy */
+ "0164"
+ "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8"
+ "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
+ /* Gx */
+ "c6"
+ "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba"
+ "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
+ /* Gy */
+ "118"
+ "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c"
+ "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
+ /* order */
+ "1ff"
+ "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa"
+ "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
+ /* d */
+ "0100"
+ "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee"
+ "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
+ },
+};
+
+static int nistp_single_test(int idx)
+{
+ const struct nistp_test_params *test = nistp_tests_params + idx;
+ BN_CTX *ctx = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
+ BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL;
+ EC_GROUP *NISTP = NULL;
+ EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL;
+ int r = 0;
+
+ TEST_note("NIST curve P-%d (optimised implementation):",
+ test->degree);
+ if (!TEST_ptr(ctx = BN_CTX_new())
+ || !TEST_ptr(p = BN_new())
+ || !TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_ptr(x = BN_new())
+ || !TEST_ptr(y = BN_new())
+ || !TEST_ptr(m = BN_new())
+ || !TEST_ptr(n = BN_new())
+ || !TEST_ptr(order = BN_new())
+ || !TEST_ptr(yplusone = BN_new())
+
+ || !TEST_ptr(NISTP = EC_GROUP_new(test->meth()))
+ || !TEST_true(BN_hex2bn(&p, test->p))
+ || !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(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))
+ || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP))
+ || !TEST_true(BN_hex2bn(&x, test->Qx))
+ || !TEST_true(BN_hex2bn(&y, test->Qy))
+ || !TEST_true(BN_add(yplusone, y, BN_value_one()))
+ /*
+ * 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(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(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))
+ goto err;
+
+ TEST_note("NIST test vectors ... ");
+ if (!TEST_true(BN_hex2bn(&n, test->d)))
+ goto err;
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
+ goto err;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
+
+ /* set generator to P = 2*G, where G is the standard generator */
+ || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx))
+ || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one()))
+ /* set the scalar to m=n/2, where n is the NIST test scalar */
+ || !TEST_true(BN_rshift(m, n, 1)))
+ goto err;
+
+ /* test the non-standard generator */
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
+ goto err;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
+
+ /*
+ * We have not performed precomputation so have_precompute mult should be
+ * false
+ */
+ || !TEST_false(EC_GROUP_have_precompute_mult(NISTP))
+
+ /* now repeat all tests with precomputation */
+ || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx))
+ || !TEST_true(EC_GROUP_have_precompute_mult(NISTP)))
+ goto err;
+
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
+ goto err;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
+
+ /* reset generator */
+ || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())))
+ goto err;
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
+ if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
+ goto err;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
+ 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);
+ EC_POINT_free(G);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(Q_CHECK);
+ BN_free(n);
+ BN_free(m);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ BN_free(x);
+ BN_free(y);
+ BN_free(order);
+ BN_free(yplusone);
+ 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,
+};
+
+/*
+ * Sometime we cannot compare nids for equality, as the built-in curve table
+ * includes aliases with different names for the same curve.
+ *
+ * This function returns TRUE (1) if the checked nids are identical, or if they
+ * alias to the same curve. FALSE (0) otherwise.
+ */
+static ossl_inline
+int are_ec_nids_compatible(int n1d, int n2d)
+{
+ int ret = 0;
+ switch (n1d) {
+# ifndef OPENSSL_NO_EC2M
+ case NID_sect113r1:
+ case NID_wap_wsg_idm_ecid_wtls4:
+ ret = (n2d == NID_sect113r1 || n2d == NID_wap_wsg_idm_ecid_wtls4);
+ break;
+ case NID_sect163k1:
+ case NID_wap_wsg_idm_ecid_wtls3:
+ ret = (n2d == NID_sect163k1 || n2d == NID_wap_wsg_idm_ecid_wtls3);
+ break;
+ case NID_sect233k1:
+ case NID_wap_wsg_idm_ecid_wtls10:
+ ret = (n2d == NID_sect233k1 || n2d == NID_wap_wsg_idm_ecid_wtls10);
+ break;
+ case NID_sect233r1:
+ case NID_wap_wsg_idm_ecid_wtls11:
+ ret = (n2d == NID_sect233r1 || n2d == NID_wap_wsg_idm_ecid_wtls11);
+ break;
+ case NID_X9_62_c2pnb163v1:
+ case NID_wap_wsg_idm_ecid_wtls5:
+ ret = (n2d == NID_X9_62_c2pnb163v1
+ || n2d == NID_wap_wsg_idm_ecid_wtls5);
+ break;
+# endif /* OPENSSL_NO_EC2M */
+ case NID_secp112r1:
+ case NID_wap_wsg_idm_ecid_wtls6:
+ ret = (n2d == NID_secp112r1 || n2d == NID_wap_wsg_idm_ecid_wtls6);
+ break;
+ case NID_secp160r2:
+ case NID_wap_wsg_idm_ecid_wtls7:
+ ret = (n2d == NID_secp160r2 || n2d == NID_wap_wsg_idm_ecid_wtls7);
+ break;
+# ifdef OPENSSL_NO_EC_NISTP_64_GCC_128
+ case NID_secp224r1:
+ case NID_wap_wsg_idm_ecid_wtls12:
+ ret = (n2d == NID_secp224r1 || n2d == NID_wap_wsg_idm_ecid_wtls12);
+ break;
+# else
+ /*
+ * For SEC P-224 we want to ensure that the SECP nid is returned, as
+ * that is associated with a specialized method.
+ */
+ case NID_wap_wsg_idm_ecid_wtls12:
+ ret = (n2d == NID_secp224r1);
+ break;
+# endif /* def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
+
+ default:
+ ret = (n1d == n2d);
+ }
+ return ret;
+}
+
+/*
+ * This checks that EC_GROUP_bew_from_ecparameters() returns a "named"
+ * EC_GROUP for built-in curves.
+ *
+ * Note that it is possible to retrieve an alternative alias that does not match
+ * the original nid.
+ *
+ * Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set.
+ */
+static int check_named_curve_from_ecparameters(int id)
+{
+ int ret = 0, nid, tnid;
+ EC_GROUP *group = NULL, *tgroup = NULL, *tmpg = NULL;
+ const EC_POINT *group_gen = NULL;
+ EC_POINT *other_gen = NULL;
+ BIGNUM *group_cofactor = NULL, *other_cofactor = NULL;
+ BIGNUM *other_gen_x = NULL, *other_gen_y = NULL;
+ const BIGNUM *group_order = NULL;
+ BIGNUM *other_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);
+ ECPARAMETERS *params = NULL, *other_params = NULL;
+ EC_GROUP *g_ary[8] = {NULL};
+ EC_GROUP **g_next = &g_ary[0];
+ ECPARAMETERS *p_ary[8] = {NULL};
+ ECPARAMETERS **p_next = &p_ary[0];
+
+ /* Do some setup */
+ nid = curves[id].nid;
+ TEST_note("Curve %s", OBJ_nid2sn(nid));
+ if (!TEST_ptr(bn_ctx = BN_CTX_new()))
+ return ret;
+ BN_CTX_start(bn_ctx);
+
+ if (/* Allocations */
+ !TEST_ptr(group_cofactor = BN_CTX_get(bn_ctx))
+ || !TEST_ptr(other_gen_x = BN_CTX_get(bn_ctx))
+ || !TEST_ptr(other_gen_y = BN_CTX_get(bn_ctx))
+ || !TEST_ptr(other_order = BN_CTX_get(bn_ctx))
+ || !TEST_ptr(other_cofactor = BN_CTX_get(bn_ctx))
+ /* Generate reference group and params */
+ || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
+ || !TEST_ptr(params = EC_GROUP_get_ecparameters(group, NULL))
+ || !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))
+ /* compute `other_*` values */
+ || !TEST_ptr(tmpg = EC_GROUP_dup(group))
+ || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group))
+ || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL))
+ || !TEST_true(EC_POINT_get_affine_coordinates(group, other_gen,
+ other_gen_x, other_gen_y, bn_ctx))
+ || !TEST_true(BN_copy(other_order, group_order))
+ || !TEST_true(BN_add_word(other_order, 1))
+ || !TEST_true(BN_copy(other_cofactor, group_cofactor))
+ || !TEST_true(BN_add_word(other_cofactor, 1)))
+ goto err;
+
+ EC_POINT_free(other_gen);
+ other_gen = NULL;
+
+ if (!TEST_ptr(other_gen = EC_POINT_new(tmpg))
+ || !TEST_true(EC_POINT_set_affine_coordinates(tmpg, other_gen,
+ other_gen_x, other_gen_y,
+ bn_ctx)))
+ goto err;
+
+ /*
+ * ###########################
+ * # Actual tests start here #
+ * ###########################
+ */
+
+ /*
+ * Creating a group from built-in explicit parameters returns a
+ * "named" EC_GROUP
+ */
+ if (!TEST_ptr(tgroup = *g_next++ = EC_GROUP_new_from_ecparameters(params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef))
+ goto err;
+ /*
+ * We cannot always guarantee the names match, as the built-in table
+ * contains aliases for the same curve with different names.
+ */
+ if (!TEST_true(are_ec_nids_compatible(nid, tnid))) {
+ TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
+ goto err;
+ }
+ /* Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set. */
+ if (!TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), OPENSSL_EC_EXPLICIT_CURVE))
+ goto err;
+
+ /*
+ * An invalid seed in the parameters should be ignored: expect a "named"
+ * group.
+ */
+ if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, invalid_seed, invalid_seed_len),
+ invalid_seed_len)
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ || !TEST_true(are_ec_nids_compatible(nid, tnid))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
+ OPENSSL_EC_EXPLICIT_CURVE)) {
+ TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
+ goto err;
+ }
+
+ /*
+ * A null seed in the parameters should be ignored, as it is optional:
+ * expect a "named" group.
+ */
+ if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, NULL, 0), 1)
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ || !TEST_true(are_ec_nids_compatible(nid, tnid))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
+ OPENSSL_EC_EXPLICIT_CURVE)) {
+ TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
+ goto err;
+ }
+
+ /*
+ * Check that changing any of the generator parameters does not yield a
+ * match with the built-in curves
+ */
+ if (/* Other gen, same group order & cofactor */
+ !TEST_true(EC_GROUP_set_generator(tmpg, other_gen, group_order,
+ group_cofactor))
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ /* Same gen & cofactor, different order */
+ || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, other_order,
+ group_cofactor))
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ /* The order is not an optional field, so this should fail */
+ || !TEST_false(EC_GROUP_set_generator(tmpg, group_gen, NULL,
+ group_cofactor))
+ /* Check that a wrong cofactor is ignored, and we still match */
+ || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
+ other_cofactor))
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ || !TEST_true(are_ec_nids_compatible(nid, tnid))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
+ OPENSSL_EC_EXPLICIT_CURVE)
+ /* Check that if the cofactor is not set then it still matches */
+ || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
+ NULL))
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ || !TEST_true(are_ec_nids_compatible(nid, tnid))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
+ OPENSSL_EC_EXPLICIT_CURVE)
+ /* check that restoring the generator passes */
+ || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
+ group_cofactor))
+ || !TEST_ptr(other_params = *p_next++ =
+ EC_GROUP_get_ecparameters(tmpg, NULL))
+ || !TEST_ptr(tgroup = *g_next++ =
+ EC_GROUP_new_from_ecparameters(other_params))
+ || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
+ || !TEST_true(are_ec_nids_compatible(nid, tnid))
+ || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
+ OPENSSL_EC_EXPLICIT_CURVE))
+ goto err;
+
+ ret = 1;
+err:
+ for (g_next = &g_ary[0]; g_next < g_ary + OSSL_NELEM(g_ary); g_next++)
+ EC_GROUP_free(*g_next);
+ for (p_next = &p_ary[0]; p_next < p_ary + OSSL_NELEM(g_ary); p_next++)
+ ECPARAMETERS_free(*p_next);
+ ECPARAMETERS_free(params);
+ EC_POINT_free(other_gen);
+ EC_GROUP_free(tmpg);
+ EC_GROUP_free(group);
+ BN_CTX_end(bn_ctx);
+ BN_CTX_free(bn_ctx);
+ return ret;
+}
+
+static int parameter_test(void)
+{
+ EC_GROUP *group = NULL, *group2 = NULL;
+ ECPARAMETERS *ecparameters = NULL;
+ 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;
+
+ 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;
+}
+
+/*-
+ * random 256-bit explicit parameters curve, cofactor absent
+ * order: 0x0c38d96a9f892b88772ec2e39614a82f4f (132 bit)
+ * cofactor: 0x12bc94785251297abfafddf1565100da (125 bit)
+ */
+static const unsigned char params_cf_pass[] = {
+ 0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
+ 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xe5, 0x00, 0x1f, 0xc5,
+ 0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
+ 0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
+ 0x44, 0x88, 0xe6, 0x91, 0x30, 0x44, 0x04, 0x20, 0xe5, 0x00, 0x1f, 0xc5,
+ 0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
+ 0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
+ 0x44, 0x88, 0xe6, 0x8e, 0x04, 0x20, 0x18, 0x8c, 0x59, 0x57, 0xc4, 0xbc,
+ 0x85, 0x57, 0xc3, 0x66, 0x9f, 0x89, 0xd5, 0x92, 0x0d, 0x7e, 0x42, 0x27,
+ 0x07, 0x64, 0xaa, 0x26, 0xed, 0x89, 0xc4, 0x09, 0x05, 0x4d, 0xc7, 0x23,
+ 0x47, 0xda, 0x04, 0x41, 0x04, 0x1b, 0x6b, 0x41, 0x0b, 0xf9, 0xfb, 0x77,
+ 0xfd, 0x50, 0xb7, 0x3e, 0x23, 0xa3, 0xec, 0x9a, 0x3b, 0x09, 0x31, 0x6b,
+ 0xfa, 0xf6, 0xce, 0x1f, 0xff, 0xeb, 0x57, 0x93, 0x24, 0x70, 0xf3, 0xf4,
+ 0xba, 0x7e, 0xfa, 0x86, 0x6e, 0x19, 0x89, 0xe3, 0x55, 0x6d, 0x5a, 0xe9,
+ 0xc0, 0x3d, 0xbc, 0xfb, 0xaf, 0xad, 0xd4, 0x7e, 0xa6, 0xe5, 0xfa, 0x1a,
+ 0x58, 0x07, 0x9e, 0x8f, 0x0d, 0x3b, 0xf7, 0x38, 0xca, 0x02, 0x11, 0x0c,
+ 0x38, 0xd9, 0x6a, 0x9f, 0x89, 0x2b, 0x88, 0x77, 0x2e, 0xc2, 0xe3, 0x96,
+ 0x14, 0xa8, 0x2f, 0x4f
+};
+
+/*-
+ * random 256-bit explicit parameters curve, cofactor absent
+ * order: 0x045a75c0c17228ebd9b169a10e34a22101 (131 bit)
+ * cofactor: 0x2e134b4ede82649f67a2e559d361e5fe (126 bit)
+ */
+static const unsigned char params_cf_fail[] = {
+ 0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
+ 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xc8, 0x95, 0x27, 0x37,
+ 0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
+ 0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
+ 0x33, 0xc2, 0xea, 0x13, 0x30, 0x44, 0x04, 0x20, 0xc8, 0x95, 0x27, 0x37,
+ 0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
+ 0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
+ 0x33, 0xc2, 0xea, 0x10, 0x04, 0x20, 0xbf, 0xa6, 0xa8, 0x05, 0x1d, 0x09,
+ 0xac, 0x70, 0x39, 0xbb, 0x4d, 0xb2, 0x90, 0x8a, 0x15, 0x41, 0x14, 0x1d,
+ 0x11, 0x86, 0x9f, 0x13, 0xa2, 0x63, 0x1a, 0xda, 0x95, 0x22, 0x4d, 0x02,
+ 0x15, 0x0a, 0x04, 0x41, 0x04, 0xaf, 0x16, 0x71, 0xf9, 0xc4, 0xc8, 0x59,
+ 0x1d, 0xa3, 0x6f, 0xe7, 0xc3, 0x57, 0xa1, 0xfa, 0x9f, 0x49, 0x7c, 0x11,
+ 0x27, 0x05, 0xa0, 0x7f, 0xff, 0xf9, 0xe0, 0xe7, 0x92, 0xdd, 0x9c, 0x24,
+ 0x8e, 0xc7, 0xb9, 0x52, 0x71, 0x3f, 0xbc, 0x7f, 0x6a, 0x9f, 0x35, 0x70,
+ 0xe1, 0x27, 0xd5, 0x35, 0x8a, 0x13, 0xfa, 0xa8, 0x33, 0x3e, 0xd4, 0x73,
+ 0x1c, 0x14, 0x58, 0x9e, 0xc7, 0x0a, 0x87, 0x65, 0x8d, 0x02, 0x11, 0x04,
+ 0x5a, 0x75, 0xc0, 0xc1, 0x72, 0x28, 0xeb, 0xd9, 0xb1, 0x69, 0xa1, 0x0e,
+ 0x34, 0xa2, 0x21, 0x01
+};
+
+/*-
+ * Test two random 256-bit explicit parameters curves with absent cofactor.
+ * The two curves are chosen to roughly straddle the bounds at which the lib
+ * can compute the cofactor automatically, roughly 4*sqrt(p). So test that:
+ *
+ * - params_cf_pass: order is sufficiently close to p to compute cofactor
+ * - params_cf_fail: order is too far away from p to compute cofactor
+ *
+ * For standards-compliant curves, cofactor is chosen as small as possible.
+ * So you can see neither of these curves are fit for cryptographic use.
+ *
+ * Some standards even mandate an upper bound on the cofactor, e.g. SECG1 v2:
+ * h <= 2**(t/8) where t is the security level of the curve, for which the lib
+ * will always succeed in computing the cofactor. Neither of these curves
+ * conform to that -- this is just robustness testing.
+ */
+static int cofactor_range_test(void)
+{
+ EC_GROUP *group = NULL;
+ BIGNUM *cf = NULL;
+ int ret = 0;
+ const unsigned char *b1 = (const unsigned char *)params_cf_fail;
+ const unsigned char *b2 = (const unsigned char *)params_cf_pass;
+
+ if (!TEST_ptr(group = d2i_ECPKParameters(NULL, &b1, sizeof(params_cf_fail)))
+ || !TEST_BN_eq_zero(EC_GROUP_get0_cofactor(group))
+ || !TEST_ptr(group = d2i_ECPKParameters(&group, &b2,
+ sizeof(params_cf_pass)))
+ || !TEST_int_gt(BN_hex2bn(&cf, "12bc94785251297abfafddf1565100da"), 0)
+ || !TEST_BN_eq(cf, EC_GROUP_get0_cofactor(group)))
+ goto err;
+ ret = 1;
+ err:
+ BN_free(cf);
+ EC_GROUP_free(group);
+ return ret;
+}
+
+/*-
+ * For named curves, test that:
+ * - the lib correctly computes the cofactor if passed a NULL or zero cofactor
+ * - a nonsensical cofactor throws an error (negative test)
+ * - nonsensical orders throw errors (negative tests)
+ */
+static int cardinality_test(int n)
+{
+ int ret = 0;
+ int nid = curves[n].nid;
+ BN_CTX *ctx = NULL;
+ EC_GROUP *g1 = NULL, *g2 = NULL;
+ EC_POINT *g2_gen = NULL;
+ BIGNUM *g1_p = NULL, *g1_a = NULL, *g1_b = NULL, *g1_x = NULL, *g1_y = NULL,
+ *g1_order = NULL, *g1_cf = NULL, *g2_cf = NULL;
+
+ TEST_info("Curve %s cardinality test", OBJ_nid2sn(nid));
+
+ if (!TEST_ptr(ctx = BN_CTX_new())
+ || !TEST_ptr(g1 = EC_GROUP_new_by_curve_name(nid))
+ || !TEST_ptr(g2 = EC_GROUP_new(EC_GROUP_method_of(g1)))) {
+ EC_GROUP_free(g1);
+ EC_GROUP_free(g2);
+ BN_CTX_free(ctx);
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ g1_p = BN_CTX_get(ctx);
+ g1_a = BN_CTX_get(ctx);
+ g1_b = BN_CTX_get(ctx);
+ g1_x = BN_CTX_get(ctx);
+ g1_y = BN_CTX_get(ctx);
+ g1_order = BN_CTX_get(ctx);
+ g1_cf = BN_CTX_get(ctx);
+
+ if (!TEST_ptr(g2_cf = BN_CTX_get(ctx))
+ /* pull out the explicit curve parameters */
+ || !TEST_true(EC_GROUP_get_curve(g1, g1_p, g1_a, g1_b, ctx))
+ || !TEST_true(EC_POINT_get_affine_coordinates(g1,
+ EC_GROUP_get0_generator(g1), g1_x, g1_y, ctx))
+ || !TEST_true(BN_copy(g1_order, EC_GROUP_get0_order(g1)))
+ || !TEST_true(EC_GROUP_get_cofactor(g1, g1_cf, ctx))
+ /* construct g2 manually with g1 parameters */
+ || !TEST_true(EC_GROUP_set_curve(g2, g1_p, g1_a, g1_b, ctx))
+ || !TEST_ptr(g2_gen = EC_POINT_new(g2))
+ || !TEST_true(EC_POINT_set_affine_coordinates(g2, g2_gen, g1_x, g1_y, ctx))
+ /* pass NULL cofactor: lib should compute it */
+ || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
+ || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
+ || !TEST_BN_eq(g1_cf, g2_cf)
+ /* pass zero cofactor: lib should compute it */
+ || !TEST_true(BN_set_word(g2_cf, 0))
+ || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
+ || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
+ || !TEST_BN_eq(g1_cf, g2_cf)
+ /* negative test for invalid cofactor */
+ || !TEST_true(BN_set_word(g2_cf, 0))
+ || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
+ || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
+ /* negative test for NULL order */
+ || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, NULL, NULL))
+ /* negative test for zero order */
+ || !TEST_true(BN_set_word(g1_order, 0))
+ || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
+ /* negative test for negative order */
+ || !TEST_true(BN_set_word(g2_cf, 0))
+ || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
+ || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
+ /* negative test for too large order */
+ || !TEST_true(BN_lshift(g1_order, g1_p, 2))
+ || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)))
+ goto err;
+ ret = 1;
+ err:
+ EC_POINT_free(g2_gen);
+ EC_GROUP_free(g1);
+ EC_GROUP_free(g2);
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+ return ret;
+}
+
+/*
+ * Helper for ec_point_hex2point_test
+ *
+ * Self-tests EC_POINT_point2hex() against EC_POINT_hex2point() for the given
+ * (group,P) pair.
+ *
+ * If P is NULL use point at infinity.
+ */
+static ossl_inline
+int ec_point_hex2point_test_helper(const EC_GROUP *group, const EC_POINT *P,
+ point_conversion_form_t form,
+ BN_CTX *bnctx)
+{
+ int ret = 0;
+ EC_POINT *Q = NULL, *Pinf = NULL;
+ char *hex = NULL;
+
+ if (P == NULL) {
+ /* If P is NULL use point at infinity. */
+ if (!TEST_ptr(Pinf = EC_POINT_new(group))
+ || !TEST_true(EC_POINT_set_to_infinity(group, Pinf)))
+ goto err;
+ P = Pinf;
+ }
+
+ if (!TEST_ptr(hex = EC_POINT_point2hex(group, P, form, bnctx))
+ || !TEST_ptr(Q = EC_POINT_hex2point(group, hex, NULL, bnctx))
+ || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, bnctx)))
+ goto err;
+
+ /*
+ * The next check is most likely superfluous, as EC_POINT_cmp should already
+ * cover this.
+ * Nonetheless it increases the test coverage for EC_POINT_is_at_infinity,
+ * so we include it anyway!
+ */
+ if (Pinf != NULL
+ && !TEST_true(EC_POINT_is_at_infinity(group, Q)))
+ goto err;
+
+ ret = 1;
+
+ err:
+ EC_POINT_free(Pinf);
+ OPENSSL_free(hex);
+ EC_POINT_free(Q);
+
+ return ret;
+}
+
+/*
+ * This test self-validates EC_POINT_hex2point() and EC_POINT_point2hex()
+ */
+static int ec_point_hex2point_test(int id)
+{
+ int ret = 0, nid;
+ EC_GROUP *group = NULL;
+ const EC_POINT *G = NULL;
+ EC_POINT *P = NULL;
+ BN_CTX * bnctx = NULL;
+
+ /* Do some setup */
+ nid = curves[id].nid;
+ if (!TEST_ptr(bnctx = BN_CTX_new())
+ || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
+ || !TEST_ptr(G = EC_GROUP_get0_generator(group))
+ || !TEST_ptr(P = EC_POINT_dup(G, group)))
+ goto err;
+
+ if (!TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_COMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_COMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_UNCOMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_UNCOMPRESSED,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, P,
+ POINT_CONVERSION_HYBRID,
+ bnctx))
+ || !TEST_true(ec_point_hex2point_test_helper(group, NULL,
+ POINT_CONVERSION_HYBRID,
+ bnctx)))
+ goto err;
+
+ ret = 1;
+
+ err:
+ EC_POINT_free(P);
+ EC_GROUP_free(group);
+ BN_CTX_free(bnctx);
+
+ return ret;
+}
+
+/*
+ * check the EC_METHOD respects the supplied EC_GROUP_set_generator G
+ */
+static int custom_generator_test(int id)
+{
+ int ret = 0, nid, bsize;
+ EC_GROUP *group = NULL;
+ EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL;
+ BN_CTX *ctx = NULL;
+ BIGNUM *k = NULL;
+ unsigned char *b1 = NULL, *b2 = NULL;
+
+ /* Do some setup */
+ nid = curves[id].nid;
+ TEST_note("Curve %s", OBJ_nid2sn(nid));
+ if (!TEST_ptr(ctx = BN_CTX_new()))
+ return 0;
+
+ BN_CTX_start(ctx);
+
+ if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)))
+ goto err;
+
+ /* expected byte length of encoded points */
+ bsize = (EC_GROUP_get_degree(group) + 7) / 8;
+ bsize = 2 * bsize + 1;
+
+ if (!TEST_ptr(k = BN_CTX_get(ctx))
+ /* fetch a testing scalar k != 0,1 */
+ || !TEST_true(BN_rand(k, EC_GROUP_order_bits(group) - 1,
+ BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
+ /* make k even */
+ || !TEST_true(BN_clear_bit(k, 0))
+ || !TEST_ptr(G2 = EC_POINT_new(group))
+ || !TEST_ptr(Q1 = EC_POINT_new(group))
+ /* Q1 := kG */
+ || !TEST_true(EC_POINT_mul(group, Q1, k, NULL, NULL, ctx))
+ /* pull out the bytes of that */
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
+ POINT_CONVERSION_UNCOMPRESSED, NULL,
+ 0, ctx), bsize)
+ || !TEST_ptr(b1 = OPENSSL_malloc(bsize))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q1,
+ POINT_CONVERSION_UNCOMPRESSED, b1,
+ bsize, ctx), bsize)
+ /* new generator is G2 := 2G */
+ || !TEST_true(EC_POINT_dbl(group, G2, EC_GROUP_get0_generator(group),
+ ctx))
+ || !TEST_true(EC_GROUP_set_generator(group, G2,
+ EC_GROUP_get0_order(group),
+ EC_GROUP_get0_cofactor(group)))
+ || !TEST_ptr(Q2 = EC_POINT_new(group))
+ || !TEST_true(BN_rshift1(k, k))
+ /* Q2 := k/2 G2 */
+ || !TEST_true(EC_POINT_mul(group, Q2, k, NULL, NULL, ctx))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
+ POINT_CONVERSION_UNCOMPRESSED, NULL,
+ 0, ctx), bsize)
+ || !TEST_ptr(b2 = OPENSSL_malloc(bsize))
+ || !TEST_int_eq(EC_POINT_point2oct(group, Q2,
+ POINT_CONVERSION_UNCOMPRESSED, b2,
+ bsize, ctx), bsize)
+ /* Q1 = kG = k/2 G2 = Q2 should hold */
+ || !TEST_int_eq(CRYPTO_memcmp(b1, b2, bsize), 0))
+ goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ EC_POINT_free(Q1);
+ EC_POINT_free(Q2);
+ EC_POINT_free(G2);
+ EC_GROUP_free(group);
+ BN_CTX_free(ctx);
+ OPENSSL_free(b1);
+ OPENSSL_free(b2);
+
+ return ret;
+}
+
+#endif /* OPENSSL_NO_EC */
+
+int setup_tests(void)
+{
+#ifndef OPENSSL_NO_EC
+ crv_len = EC_get_builtin_curves(NULL, 0);
+ if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len))
+ || !TEST_true(EC_get_builtin_curves(curves, crv_len)))
+ return 0;
+
+ ADD_TEST(parameter_test);
+ ADD_TEST(cofactor_range_test);
+ ADD_ALL_TESTS(cardinality_test, crv_len);
+ ADD_TEST(prime_field_tests);
+# ifndef OPENSSL_NO_EC2M
+ ADD_TEST(hybrid_point_encoding_test);
+ ADD_TEST(char2_field_tests);
+ ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
+# 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_ALL_TESTS(check_named_curve_from_ecparameters, crv_len);
+ ADD_ALL_TESTS(ec_point_hex2point_test, crv_len);
+ ADD_ALL_TESTS(custom_generator_test, crv_len);
+#endif /* OPENSSL_NO_EC */
+ return 1;
+}
+
+void cleanup_tests(void)
+{
+#ifndef OPENSSL_NO_EC
+ OPENSSL_free(curves);
+#endif
+}