OpenSSL 0.9.7 stable 2002 05 08 merge

1 files changed, 634 insertions, 0 deletions

diff --git a/src/lib/libcrypto/ec/ectest.c b/src/lib/libcrypto/ec/ectest.c
new file mode 100644
index 0000000000..243cd83fb5
--- /dev/null
+++ b/src/lib/libcrypto/ec/ectest.c
@@ -0,0 +1,634 @@
+/* crypto/ec/ectest.c */
+/* ====================================================================
+ * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer. 
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in
+ *    the documentation and/or other materials provided with the
+ *    distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ *    software must display the following acknowledgment:
+ *    "This product includes software developed by the OpenSSL Project
+ *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ *    endorse or promote products derived from this software without
+ *    prior written permission. For written permission, please contact
+ *    openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ *    nor may "OpenSSL" appear in their names without prior written
+ *    permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ *    acknowledgment:
+ *    "This product includes software developed by the OpenSSL Project
+ *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com).  This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+
+
+#ifdef OPENSSL_NO_EC
+int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
+#else
+
+
+#include <openssl/ec.h>
+#include <openssl/engine.h>
+#include <openssl/err.h>
+
+#define ABORT do { \
+        fflush(stdout); \
+        fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
+        ERR_print_errors_fp(stderr); \
+        exit(1); \
+} while (0)
+
+
+void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
+        {
+        clock_t clck;
+        int i, j;
+        BIGNUM *s, *s0;
+        EC_POINT *P;
+                
+        s = BN_new();
+        s0 = BN_new();
+        if (s == NULL || s0 == NULL) ABORT;
+
+        if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT;
+        fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s));
+        if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
+        fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s));
+        fflush(stdout);
+
+        P = EC_POINT_new(group);
+        if (P == NULL) ABORT;
+        EC_POINT_copy(P, EC_GROUP_get0_generator(group));
+
+        clck = clock();
+        for (i = 0; i < 10; i++)
+                {
+                if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT;
+                if (multi)
+                        {
+                        if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT;
+                        }
+                for (j = 0; j < 10; j++)
+                        {
+                        if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT;
+                        }
+                fprintf(stdout, ".");
+                fflush(stdout);
+                }
+        fprintf(stdout, "\n");
+        
+        clck = clock() - clck;
+
+#ifdef CLOCKS_PER_SEC
+        /* "To determine the time in seconds, the value returned
+         * by the clock function should be divided by the value
+         * of the macro CLOCKS_PER_SEC."
+         *                                       -- ISO/IEC 9899 */
+#       define UNIT "s"
+#else
+        /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
+         *                            -- cc on NeXTstep/OpenStep */
+#       define UNIT "units"
+#       define CLOCKS_PER_SEC 1
+#endif
+
+        fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
+                multi ? "s*P+t*Q operations" : "point multiplications",
+                (double)clck/CLOCKS_PER_SEC);
+        fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
+
+        EC_POINT_free(P);
+        BN_free(s);
+        BN_free(s0);
+        }
+
+
+int main(int argc, char *argv[])
+        {       
+        BN_CTX *ctx = NULL;
+        BIGNUM *p, *a, *b;
+        EC_GROUP *group;
+        EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
+        EC_POINT *P, *Q, *R;
+        BIGNUM *x, *y, *z;
+        unsigned char buf[100];
+        size_t i, len;
+        int k;
+        
+        /* enable memory leak checking unless explicitly disabled */
+        if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
+                {
+                CRYPTO_malloc_debug_init();
+                CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
+                }
+        else
+                {
+                /* OPENSSL_DEBUG_MEMORY=off */
+                CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
+                }
+        CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
+        ERR_load_crypto_strings();
+
+#if 1 /* optional */
+        ctx = BN_CTX_new();
+        if (!ctx) ABORT;
+#endif
+
+        p = BN_new();
+        a = BN_new();
+        b = BN_new();
+        if (!p || !a || !b) ABORT;
+
+        if (!BN_hex2bn(&p, "17")) ABORT;
+        if (!BN_hex2bn(&a, "1")) ABORT;
+        if (!BN_hex2bn(&b, "1")) ABORT;
+        
+        group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
+                                                     * so that the library gets to choose the EC_METHOD */
+        if (!group) ABORT;
+
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        {
+                EC_GROUP *tmp;
+                tmp = EC_GROUP_new(EC_GROUP_method_of(group));
+                if (!tmp) ABORT;
+                if (!EC_GROUP_copy(tmp, group));
+                EC_GROUP_free(group);
+                group = tmp;
+        }
+        
+        if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
+        BN_print_fp(stdout, p);
+        fprintf(stdout, ")\n     a = 0x");
+        BN_print_fp(stdout, a);
+        fprintf(stdout, "\n     b = 0x");
+        BN_print_fp(stdout, b);
+        fprintf(stdout, "\n");
+
+        P = EC_POINT_new(group);
+        Q = EC_POINT_new(group);
+        R = EC_POINT_new(group);
+        if (!P || !Q || !R) ABORT;
+        
+        if (!EC_POINT_set_to_infinity(group, P)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+        buf[0] = 0;
+        if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
+
+        if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+        x = BN_new();
+        y = BN_new();
+        z = BN_new();
+        if (!x || !y || !z) ABORT;
+
+        if (!BN_hex2bn(&x, "D")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, Q, ctx))
+                {
+                if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
+                fprintf(stderr, "Point is not on curve: x = 0x");
+                BN_print_fp(stderr, x);
+                fprintf(stderr, ", y = 0x");
+                BN_print_fp(stderr, y);
+                fprintf(stderr, "\n");
+                ABORT;
+                }
+
+        fprintf(stdout, "A cyclic subgroup:\n");
+        k = 100;
+        do
+                {
+                if (k-- == 0) ABORT;
+
+                if (EC_POINT_is_at_infinity(group, P))
+                        fprintf(stdout, "     point at infinity\n");
+                else
+                        {
+                        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+
+                        fprintf(stdout, "     x = 0x");
+                        BN_print_fp(stdout, x);
+                        fprintf(stdout, ", y = 0x");
+                        BN_print_fp(stdout, y);
+                        fprintf(stdout, "\n");
+                        }
+                
+                if (!EC_POINT_copy(R, P)) ABORT;
+                if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+
+#if 0 /* optional */
+                {
+                        EC_POINT *points[3];
+                
+                        points[0] = R;
+                        points[1] = Q;
+                        points[2] = P;
+                        if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
+                }
+#endif
+
+                }
+        while (!EC_POINT_is_at_infinity(group, P));
+
+        if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+        len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
+        if (len == 0) ABORT;
+        if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+        if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+        fprintf(stdout, "Generator as octect string, compressed form:\n     ");
+        for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+        
+        len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
+        if (len == 0) ABORT;
+        if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+        if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+        fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n     ");
+        for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+        
+        len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
+        if (len == 0) ABORT;
+        if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+        if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+        fprintf(stdout, "\nGenerator as octect string, hybrid form:\n     ");
+        for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+        
+        if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
+        fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, ", Y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, ", Z = 0x");
+        BN_print_fp(stdout, z);
+        fprintf(stdout, "\n");
+
+        if (!EC_POINT_invert(group, P, ctx)) ABORT;
+        if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+
+
+        /* Curve P-192 (FIPS PUB 186-2, App. 6) */
+        
+        if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
+        if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
+        if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
+        if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
+        if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+        fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, "\n     y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, "\n");
+        /* G_y value taken from the standard: */
+        if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
+        if (0 != BN_cmp(y, z)) ABORT;
+        
+        fprintf(stdout, "verify group order ...");
+        fflush(stdout);
+        if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, ".");
+        fflush(stdout);
+        if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, " ok\n");
+
+        if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+        if (!EC_GROUP_copy(P_192, group)) ABORT;
+
+
+        /* Curve P-224 (FIPS PUB 186-2, App. 6) */
+        
+        if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
+        if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
+        if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
+        if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
+        if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+        fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, "\n     y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, "\n");
+        /* G_y value taken from the standard: */
+        if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
+        if (0 != BN_cmp(y, z)) ABORT;
+        
+        fprintf(stdout, "verify group order ...");
+        fflush(stdout);
+        if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, ".");
+        fflush(stdout);
+        if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, " ok\n");
+
+        if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+        if (!EC_GROUP_copy(P_224, group)) ABORT;
+
+
+        /* Curve P-256 (FIPS PUB 186-2, App. 6) */
+        
+        if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
+        if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
+        if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
+        if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
+                "84F3B9CAC2FC632551")) ABORT;
+        if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+        fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, "\n     y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, "\n");
+        /* G_y value taken from the standard: */
+        if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
+        if (0 != BN_cmp(y, z)) ABORT;
+        
+        fprintf(stdout, "verify group order ...");
+        fflush(stdout);
+        if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, ".");
+        fflush(stdout);
+        if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, " ok\n");
+
+        if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+        if (!EC_GROUP_copy(P_256, group)) ABORT;
+
+
+        /* Curve P-384 (FIPS PUB 186-2, App. 6) */
+        
+        if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
+        if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
+        if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
+        if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
+                "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
+                "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
+        if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+        fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, "\n     y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, "\n");
+        /* G_y value taken from the standard: */
+        if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
+                "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
+        if (0 != BN_cmp(y, z)) ABORT;
+        
+        fprintf(stdout, "verify group order ...");
+        fflush(stdout);
+        if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, ".");
+        fflush(stdout);
+        if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, " ok\n");
+
+        if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+        if (!EC_GROUP_copy(P_384, group)) ABORT;
+
+
+        /* Curve P-521 (FIPS PUB 186-2, App. 6) */
+        
+        if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
+        if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT;
+        if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
+        if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
+                "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
+                "DF883D2C34F1EF451FD46B503F00")) ABORT;
+        if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+        if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
+                "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
+                "3C1856A429BF97E7E31C2E5BD66")) ABORT;
+        if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+                "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
+                "C9B8899C47AEBB6FB71E91386409")) ABORT;
+        if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+        if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+        fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
+        BN_print_fp(stdout, x);
+        fprintf(stdout, "\n     y = 0x");
+        BN_print_fp(stdout, y);
+        fprintf(stdout, "\n");
+        /* G_y value taken from the standard: */
+        if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
+                "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
+                "7086A272C24088BE94769FD16650")) ABORT;
+        if (0 != BN_cmp(y, z)) ABORT;
+        
+        fprintf(stdout, "verify group order ...");
+        fflush(stdout);
+        if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, ".");
+        fflush(stdout);
+        if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+        if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+        fprintf(stdout, " ok\n");
+
+        if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+        if (!EC_GROUP_copy(P_521, group)) ABORT;
+
+
+        /* more tests using the last curve */
+
+        if (!EC_POINT_copy(Q, P)) ABORT;
+        if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+        if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
+        if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+        if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
+
+        if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
+        if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
+        if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
+
+        {
+                const EC_POINT *points[3];
+                const BIGNUM *scalars[3];
+        
+                if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+                points[0] = Q;
+                points[1] = Q;
+                points[2] = Q;
+
+                if (!BN_add(y, z, BN_value_one())) ABORT;
+                if (BN_is_odd(y)) ABORT;
+                if (!BN_rshift1(y, y)) ABORT;
+                scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
+                scalars[1] = y;
+
+                fprintf(stdout, "combined multiplication ...");
+                fflush(stdout);
+
+                /* z is still the group order */
+                if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+                if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
+                if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+                if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
+
+                fprintf(stdout, ".");
+                fflush(stdout);
+
+                if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
+                if (!BN_add(z, z, y)) ABORT;
+                z->neg = 1;
+                scalars[0] = y;
+                scalars[1] = z; /* z = -(order + y) */
+
+                if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+                if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+                fprintf(stdout, ".");
+                fflush(stdout);
+
+                if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
+                if (!BN_add(z, x, y)) ABORT;
+                z->neg = 1;
+                scalars[0] = x;
+                scalars[1] = y;
+                scalars[2] = z; /* z = -(x+y) */
+
+                if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
+                if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+                fprintf(stdout, " ok\n\n");
+        }
+
+
+#if 0
+        timings(P_192, 0, ctx);
+        timings(P_192, 1, ctx);
+        timings(P_224, 0, ctx);
+        timings(P_224, 1, ctx);
+        timings(P_256, 0, ctx);
+        timings(P_256, 1, ctx);
+        timings(P_384, 0, ctx);
+        timings(P_384, 1, ctx);
+        timings(P_521, 0, ctx);
+        timings(P_521, 1, ctx);
+#endif
+
+
+        if (ctx)
+                BN_CTX_free(ctx);
+        BN_free(p); BN_free(a); BN_free(b);
+        EC_GROUP_free(group);
+        EC_POINT_free(P);
+        EC_POINT_free(Q);
+        EC_POINT_free(R);
+        BN_free(x); BN_free(y); BN_free(z);
+
+        if (P_192) EC_GROUP_free(P_192);
+        if (P_224) EC_GROUP_free(P_224);
+        if (P_256) EC_GROUP_free(P_256);
+        if (P_384) EC_GROUP_free(P_384);
+        if (P_521) EC_GROUP_free(P_521);
+
+        ENGINE_cleanup();
+        CRYPTO_cleanup_all_ex_data();
+        ERR_free_strings();
+        ERR_remove_state(0);
+        CRYPTO_mem_leaks_fp(stderr);
+        
+        return 0;
+        }
+#endif