1*0Sstevel@tonic-gate /* crypto/ec/ectest.c */ 2*0Sstevel@tonic-gate /* ==================================================================== 3*0Sstevel@tonic-gate * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. 4*0Sstevel@tonic-gate * 5*0Sstevel@tonic-gate * Redistribution and use in source and binary forms, with or without 6*0Sstevel@tonic-gate * modification, are permitted provided that the following conditions 7*0Sstevel@tonic-gate * are met: 8*0Sstevel@tonic-gate * 9*0Sstevel@tonic-gate * 1. Redistributions of source code must retain the above copyright 10*0Sstevel@tonic-gate * notice, this list of conditions and the following disclaimer. 11*0Sstevel@tonic-gate * 12*0Sstevel@tonic-gate * 2. Redistributions in binary form must reproduce the above copyright 13*0Sstevel@tonic-gate * notice, this list of conditions and the following disclaimer in 14*0Sstevel@tonic-gate * the documentation and/or other materials provided with the 15*0Sstevel@tonic-gate * distribution. 16*0Sstevel@tonic-gate * 17*0Sstevel@tonic-gate * 3. All advertising materials mentioning features or use of this 18*0Sstevel@tonic-gate * software must display the following acknowledgment: 19*0Sstevel@tonic-gate * "This product includes software developed by the OpenSSL Project 20*0Sstevel@tonic-gate * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 21*0Sstevel@tonic-gate * 22*0Sstevel@tonic-gate * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 23*0Sstevel@tonic-gate * endorse or promote products derived from this software without 24*0Sstevel@tonic-gate * prior written permission. For written permission, please contact 25*0Sstevel@tonic-gate * openssl-core@openssl.org. 26*0Sstevel@tonic-gate * 27*0Sstevel@tonic-gate * 5. Products derived from this software may not be called "OpenSSL" 28*0Sstevel@tonic-gate * nor may "OpenSSL" appear in their names without prior written 29*0Sstevel@tonic-gate * permission of the OpenSSL Project. 30*0Sstevel@tonic-gate * 31*0Sstevel@tonic-gate * 6. Redistributions of any form whatsoever must retain the following 32*0Sstevel@tonic-gate * acknowledgment: 33*0Sstevel@tonic-gate * "This product includes software developed by the OpenSSL Project 34*0Sstevel@tonic-gate * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 35*0Sstevel@tonic-gate * 36*0Sstevel@tonic-gate * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 37*0Sstevel@tonic-gate * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 38*0Sstevel@tonic-gate * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 39*0Sstevel@tonic-gate * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 40*0Sstevel@tonic-gate * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 41*0Sstevel@tonic-gate * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 42*0Sstevel@tonic-gate * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 43*0Sstevel@tonic-gate * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 44*0Sstevel@tonic-gate * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 45*0Sstevel@tonic-gate * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 46*0Sstevel@tonic-gate * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 47*0Sstevel@tonic-gate * OF THE POSSIBILITY OF SUCH DAMAGE. 48*0Sstevel@tonic-gate * ==================================================================== 49*0Sstevel@tonic-gate * 50*0Sstevel@tonic-gate * This product includes cryptographic software written by Eric Young 51*0Sstevel@tonic-gate * (eay@cryptsoft.com). This product includes software written by Tim 52*0Sstevel@tonic-gate * Hudson (tjh@cryptsoft.com). 53*0Sstevel@tonic-gate * 54*0Sstevel@tonic-gate */ 55*0Sstevel@tonic-gate 56*0Sstevel@tonic-gate #include <stdio.h> 57*0Sstevel@tonic-gate #include <stdlib.h> 58*0Sstevel@tonic-gate #ifdef FLAT_INC 59*0Sstevel@tonic-gate #include "e_os.h" 60*0Sstevel@tonic-gate #else 61*0Sstevel@tonic-gate #include "../e_os.h" 62*0Sstevel@tonic-gate #endif 63*0Sstevel@tonic-gate #include <string.h> 64*0Sstevel@tonic-gate #include <time.h> 65*0Sstevel@tonic-gate 66*0Sstevel@tonic-gate 67*0Sstevel@tonic-gate #ifdef OPENSSL_NO_EC 68*0Sstevel@tonic-gate int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } 69*0Sstevel@tonic-gate #else 70*0Sstevel@tonic-gate 71*0Sstevel@tonic-gate 72*0Sstevel@tonic-gate #include <openssl/ec.h> 73*0Sstevel@tonic-gate #ifndef OPENSSL_NO_ENGINE 74*0Sstevel@tonic-gate #include <openssl/engine.h> 75*0Sstevel@tonic-gate #endif 76*0Sstevel@tonic-gate #include <openssl/err.h> 77*0Sstevel@tonic-gate 78*0Sstevel@tonic-gate #define ABORT do { \ 79*0Sstevel@tonic-gate fflush(stdout); \ 80*0Sstevel@tonic-gate fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ 81*0Sstevel@tonic-gate ERR_print_errors_fp(stderr); \ 82*0Sstevel@tonic-gate EXIT(1); \ 83*0Sstevel@tonic-gate } while (0) 84*0Sstevel@tonic-gate 85*0Sstevel@tonic-gate #if 0 86*0Sstevel@tonic-gate static void timings(EC_GROUP *group, int multi, BN_CTX *ctx) 87*0Sstevel@tonic-gate { 88*0Sstevel@tonic-gate clock_t clck; 89*0Sstevel@tonic-gate int i, j; 90*0Sstevel@tonic-gate BIGNUM *s, *s0; 91*0Sstevel@tonic-gate EC_POINT *P; 92*0Sstevel@tonic-gate 93*0Sstevel@tonic-gate s = BN_new(); 94*0Sstevel@tonic-gate s0 = BN_new(); 95*0Sstevel@tonic-gate if (s == NULL || s0 == NULL) ABORT; 96*0Sstevel@tonic-gate 97*0Sstevel@tonic-gate if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT; 98*0Sstevel@tonic-gate fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s)); 99*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, s, ctx)) ABORT; 100*0Sstevel@tonic-gate fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s)); 101*0Sstevel@tonic-gate fflush(stdout); 102*0Sstevel@tonic-gate 103*0Sstevel@tonic-gate P = EC_POINT_new(group); 104*0Sstevel@tonic-gate if (P == NULL) ABORT; 105*0Sstevel@tonic-gate EC_POINT_copy(P, EC_GROUP_get0_generator(group)); 106*0Sstevel@tonic-gate 107*0Sstevel@tonic-gate clck = clock(); 108*0Sstevel@tonic-gate for (i = 0; i < 10; i++) 109*0Sstevel@tonic-gate { 110*0Sstevel@tonic-gate if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT; 111*0Sstevel@tonic-gate if (multi) 112*0Sstevel@tonic-gate { 113*0Sstevel@tonic-gate if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT; 114*0Sstevel@tonic-gate } 115*0Sstevel@tonic-gate for (j = 0; j < 10; j++) 116*0Sstevel@tonic-gate { 117*0Sstevel@tonic-gate if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT; 118*0Sstevel@tonic-gate } 119*0Sstevel@tonic-gate fprintf(stdout, "."); 120*0Sstevel@tonic-gate fflush(stdout); 121*0Sstevel@tonic-gate } 122*0Sstevel@tonic-gate fprintf(stdout, "\n"); 123*0Sstevel@tonic-gate 124*0Sstevel@tonic-gate clck = clock() - clck; 125*0Sstevel@tonic-gate 126*0Sstevel@tonic-gate #ifdef CLOCKS_PER_SEC 127*0Sstevel@tonic-gate /* "To determine the time in seconds, the value returned 128*0Sstevel@tonic-gate * by the clock function should be divided by the value 129*0Sstevel@tonic-gate * of the macro CLOCKS_PER_SEC." 130*0Sstevel@tonic-gate * -- ISO/IEC 9899 */ 131*0Sstevel@tonic-gate # define UNIT "s" 132*0Sstevel@tonic-gate #else 133*0Sstevel@tonic-gate /* "`CLOCKS_PER_SEC' undeclared (first use this function)" 134*0Sstevel@tonic-gate * -- cc on NeXTstep/OpenStep */ 135*0Sstevel@tonic-gate # define UNIT "units" 136*0Sstevel@tonic-gate # define CLOCKS_PER_SEC 1 137*0Sstevel@tonic-gate #endif 138*0Sstevel@tonic-gate 139*0Sstevel@tonic-gate fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, 140*0Sstevel@tonic-gate multi ? "s*P+t*Q operations" : "point multiplications", 141*0Sstevel@tonic-gate (double)clck/CLOCKS_PER_SEC); 142*0Sstevel@tonic-gate fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j)); 143*0Sstevel@tonic-gate 144*0Sstevel@tonic-gate EC_POINT_free(P); 145*0Sstevel@tonic-gate BN_free(s); 146*0Sstevel@tonic-gate BN_free(s0); 147*0Sstevel@tonic-gate } 148*0Sstevel@tonic-gate #endif 149*0Sstevel@tonic-gate 150*0Sstevel@tonic-gate int main(int argc, char *argv[]) 151*0Sstevel@tonic-gate { 152*0Sstevel@tonic-gate BN_CTX *ctx = NULL; 153*0Sstevel@tonic-gate BIGNUM *p, *a, *b; 154*0Sstevel@tonic-gate EC_GROUP *group; 155*0Sstevel@tonic-gate EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; 156*0Sstevel@tonic-gate EC_POINT *P, *Q, *R; 157*0Sstevel@tonic-gate BIGNUM *x, *y, *z; 158*0Sstevel@tonic-gate unsigned char buf[100]; 159*0Sstevel@tonic-gate size_t i, len; 160*0Sstevel@tonic-gate int k; 161*0Sstevel@tonic-gate 162*0Sstevel@tonic-gate /* enable memory leak checking unless explicitly disabled */ 163*0Sstevel@tonic-gate if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) 164*0Sstevel@tonic-gate { 165*0Sstevel@tonic-gate CRYPTO_malloc_debug_init(); 166*0Sstevel@tonic-gate CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); 167*0Sstevel@tonic-gate } 168*0Sstevel@tonic-gate else 169*0Sstevel@tonic-gate { 170*0Sstevel@tonic-gate /* OPENSSL_DEBUG_MEMORY=off */ 171*0Sstevel@tonic-gate CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); 172*0Sstevel@tonic-gate } 173*0Sstevel@tonic-gate CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); 174*0Sstevel@tonic-gate ERR_load_crypto_strings(); 175*0Sstevel@tonic-gate 176*0Sstevel@tonic-gate #if 1 /* optional */ 177*0Sstevel@tonic-gate ctx = BN_CTX_new(); 178*0Sstevel@tonic-gate if (!ctx) ABORT; 179*0Sstevel@tonic-gate #endif 180*0Sstevel@tonic-gate 181*0Sstevel@tonic-gate p = BN_new(); 182*0Sstevel@tonic-gate a = BN_new(); 183*0Sstevel@tonic-gate b = BN_new(); 184*0Sstevel@tonic-gate if (!p || !a || !b) ABORT; 185*0Sstevel@tonic-gate 186*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "17")) ABORT; 187*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "1")) ABORT; 188*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "1")) ABORT; 189*0Sstevel@tonic-gate 190*0Sstevel@tonic-gate group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp 191*0Sstevel@tonic-gate * so that the library gets to choose the EC_METHOD */ 192*0Sstevel@tonic-gate if (!group) ABORT; 193*0Sstevel@tonic-gate 194*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 195*0Sstevel@tonic-gate 196*0Sstevel@tonic-gate { 197*0Sstevel@tonic-gate EC_GROUP *tmp; 198*0Sstevel@tonic-gate tmp = EC_GROUP_new(EC_GROUP_method_of(group)); 199*0Sstevel@tonic-gate if (!tmp) ABORT; 200*0Sstevel@tonic-gate if (!EC_GROUP_copy(tmp, group)); 201*0Sstevel@tonic-gate EC_GROUP_free(group); 202*0Sstevel@tonic-gate group = tmp; 203*0Sstevel@tonic-gate } 204*0Sstevel@tonic-gate 205*0Sstevel@tonic-gate if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; 206*0Sstevel@tonic-gate 207*0Sstevel@tonic-gate fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); 208*0Sstevel@tonic-gate BN_print_fp(stdout, p); 209*0Sstevel@tonic-gate fprintf(stdout, ")\n a = 0x"); 210*0Sstevel@tonic-gate BN_print_fp(stdout, a); 211*0Sstevel@tonic-gate fprintf(stdout, "\n b = 0x"); 212*0Sstevel@tonic-gate BN_print_fp(stdout, b); 213*0Sstevel@tonic-gate fprintf(stdout, "\n"); 214*0Sstevel@tonic-gate 215*0Sstevel@tonic-gate P = EC_POINT_new(group); 216*0Sstevel@tonic-gate Q = EC_POINT_new(group); 217*0Sstevel@tonic-gate R = EC_POINT_new(group); 218*0Sstevel@tonic-gate if (!P || !Q || !R) ABORT; 219*0Sstevel@tonic-gate 220*0Sstevel@tonic-gate if (!EC_POINT_set_to_infinity(group, P)) ABORT; 221*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, P)) ABORT; 222*0Sstevel@tonic-gate 223*0Sstevel@tonic-gate buf[0] = 0; 224*0Sstevel@tonic-gate if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; 225*0Sstevel@tonic-gate 226*0Sstevel@tonic-gate if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 227*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, P)) ABORT; 228*0Sstevel@tonic-gate 229*0Sstevel@tonic-gate x = BN_new(); 230*0Sstevel@tonic-gate y = BN_new(); 231*0Sstevel@tonic-gate z = BN_new(); 232*0Sstevel@tonic-gate if (!x || !y || !z) ABORT; 233*0Sstevel@tonic-gate 234*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "D")) ABORT; 235*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; 236*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, Q, ctx)) 237*0Sstevel@tonic-gate { 238*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; 239*0Sstevel@tonic-gate fprintf(stderr, "Point is not on curve: x = 0x"); 240*0Sstevel@tonic-gate BN_print_fp(stderr, x); 241*0Sstevel@tonic-gate fprintf(stderr, ", y = 0x"); 242*0Sstevel@tonic-gate BN_print_fp(stderr, y); 243*0Sstevel@tonic-gate fprintf(stderr, "\n"); 244*0Sstevel@tonic-gate ABORT; 245*0Sstevel@tonic-gate } 246*0Sstevel@tonic-gate 247*0Sstevel@tonic-gate fprintf(stdout, "A cyclic subgroup:\n"); 248*0Sstevel@tonic-gate k = 100; 249*0Sstevel@tonic-gate do 250*0Sstevel@tonic-gate { 251*0Sstevel@tonic-gate if (k-- == 0) ABORT; 252*0Sstevel@tonic-gate 253*0Sstevel@tonic-gate if (EC_POINT_is_at_infinity(group, P)) 254*0Sstevel@tonic-gate fprintf(stdout, " point at infinity\n"); 255*0Sstevel@tonic-gate else 256*0Sstevel@tonic-gate { 257*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 258*0Sstevel@tonic-gate 259*0Sstevel@tonic-gate fprintf(stdout, " x = 0x"); 260*0Sstevel@tonic-gate BN_print_fp(stdout, x); 261*0Sstevel@tonic-gate fprintf(stdout, ", y = 0x"); 262*0Sstevel@tonic-gate BN_print_fp(stdout, y); 263*0Sstevel@tonic-gate fprintf(stdout, "\n"); 264*0Sstevel@tonic-gate } 265*0Sstevel@tonic-gate 266*0Sstevel@tonic-gate if (!EC_POINT_copy(R, P)) ABORT; 267*0Sstevel@tonic-gate if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; 268*0Sstevel@tonic-gate 269*0Sstevel@tonic-gate #if 0 /* optional */ 270*0Sstevel@tonic-gate { 271*0Sstevel@tonic-gate EC_POINT *points[3]; 272*0Sstevel@tonic-gate 273*0Sstevel@tonic-gate points[0] = R; 274*0Sstevel@tonic-gate points[1] = Q; 275*0Sstevel@tonic-gate points[2] = P; 276*0Sstevel@tonic-gate if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; 277*0Sstevel@tonic-gate } 278*0Sstevel@tonic-gate #endif 279*0Sstevel@tonic-gate 280*0Sstevel@tonic-gate } 281*0Sstevel@tonic-gate while (!EC_POINT_is_at_infinity(group, P)); 282*0Sstevel@tonic-gate 283*0Sstevel@tonic-gate if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; 284*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, P)) ABORT; 285*0Sstevel@tonic-gate 286*0Sstevel@tonic-gate len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); 287*0Sstevel@tonic-gate if (len == 0) ABORT; 288*0Sstevel@tonic-gate if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 289*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 290*0Sstevel@tonic-gate fprintf(stdout, "Generator as octect string, compressed form:\n "); 291*0Sstevel@tonic-gate for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 292*0Sstevel@tonic-gate 293*0Sstevel@tonic-gate len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); 294*0Sstevel@tonic-gate if (len == 0) ABORT; 295*0Sstevel@tonic-gate if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 296*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 297*0Sstevel@tonic-gate fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n "); 298*0Sstevel@tonic-gate for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 299*0Sstevel@tonic-gate 300*0Sstevel@tonic-gate len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); 301*0Sstevel@tonic-gate if (len == 0) ABORT; 302*0Sstevel@tonic-gate if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; 303*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; 304*0Sstevel@tonic-gate fprintf(stdout, "\nGenerator as octect string, hybrid form:\n "); 305*0Sstevel@tonic-gate for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); 306*0Sstevel@tonic-gate 307*0Sstevel@tonic-gate if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; 308*0Sstevel@tonic-gate fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); 309*0Sstevel@tonic-gate BN_print_fp(stdout, x); 310*0Sstevel@tonic-gate fprintf(stdout, ", Y = 0x"); 311*0Sstevel@tonic-gate BN_print_fp(stdout, y); 312*0Sstevel@tonic-gate fprintf(stdout, ", Z = 0x"); 313*0Sstevel@tonic-gate BN_print_fp(stdout, z); 314*0Sstevel@tonic-gate fprintf(stdout, "\n"); 315*0Sstevel@tonic-gate 316*0Sstevel@tonic-gate if (!EC_POINT_invert(group, P, ctx)) ABORT; 317*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 318*0Sstevel@tonic-gate 319*0Sstevel@tonic-gate 320*0Sstevel@tonic-gate /* Curve P-192 (FIPS PUB 186-2, App. 6) */ 321*0Sstevel@tonic-gate 322*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; 323*0Sstevel@tonic-gate if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT; 324*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; 325*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; 326*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 327*0Sstevel@tonic-gate 328*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; 329*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 330*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 331*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; 332*0Sstevel@tonic-gate if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 333*0Sstevel@tonic-gate 334*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 335*0Sstevel@tonic-gate fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); 336*0Sstevel@tonic-gate BN_print_fp(stdout, x); 337*0Sstevel@tonic-gate fprintf(stdout, "\n y = 0x"); 338*0Sstevel@tonic-gate BN_print_fp(stdout, y); 339*0Sstevel@tonic-gate fprintf(stdout, "\n"); 340*0Sstevel@tonic-gate /* G_y value taken from the standard: */ 341*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; 342*0Sstevel@tonic-gate if (0 != BN_cmp(y, z)) ABORT; 343*0Sstevel@tonic-gate 344*0Sstevel@tonic-gate fprintf(stdout, "verify group order ..."); 345*0Sstevel@tonic-gate fflush(stdout); 346*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 347*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 348*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 349*0Sstevel@tonic-gate fprintf(stdout, "."); 350*0Sstevel@tonic-gate fflush(stdout); 351*0Sstevel@tonic-gate if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 352*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 353*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 354*0Sstevel@tonic-gate fprintf(stdout, " ok\n"); 355*0Sstevel@tonic-gate 356*0Sstevel@tonic-gate if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 357*0Sstevel@tonic-gate if (!EC_GROUP_copy(P_192, group)) ABORT; 358*0Sstevel@tonic-gate 359*0Sstevel@tonic-gate 360*0Sstevel@tonic-gate /* Curve P-224 (FIPS PUB 186-2, App. 6) */ 361*0Sstevel@tonic-gate 362*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; 363*0Sstevel@tonic-gate if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT; 364*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; 365*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; 366*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 367*0Sstevel@tonic-gate 368*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; 369*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; 370*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 371*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; 372*0Sstevel@tonic-gate if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 373*0Sstevel@tonic-gate 374*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 375*0Sstevel@tonic-gate fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); 376*0Sstevel@tonic-gate BN_print_fp(stdout, x); 377*0Sstevel@tonic-gate fprintf(stdout, "\n y = 0x"); 378*0Sstevel@tonic-gate BN_print_fp(stdout, y); 379*0Sstevel@tonic-gate fprintf(stdout, "\n"); 380*0Sstevel@tonic-gate /* G_y value taken from the standard: */ 381*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; 382*0Sstevel@tonic-gate if (0 != BN_cmp(y, z)) ABORT; 383*0Sstevel@tonic-gate 384*0Sstevel@tonic-gate fprintf(stdout, "verify group order ..."); 385*0Sstevel@tonic-gate fflush(stdout); 386*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 387*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 388*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 389*0Sstevel@tonic-gate fprintf(stdout, "."); 390*0Sstevel@tonic-gate fflush(stdout); 391*0Sstevel@tonic-gate if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 392*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 393*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 394*0Sstevel@tonic-gate fprintf(stdout, " ok\n"); 395*0Sstevel@tonic-gate 396*0Sstevel@tonic-gate if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 397*0Sstevel@tonic-gate if (!EC_GROUP_copy(P_224, group)) ABORT; 398*0Sstevel@tonic-gate 399*0Sstevel@tonic-gate 400*0Sstevel@tonic-gate /* Curve P-256 (FIPS PUB 186-2, App. 6) */ 401*0Sstevel@tonic-gate 402*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; 403*0Sstevel@tonic-gate if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT; 404*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; 405*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; 406*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 407*0Sstevel@tonic-gate 408*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; 409*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 410*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 411*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" 412*0Sstevel@tonic-gate "84F3B9CAC2FC632551")) ABORT; 413*0Sstevel@tonic-gate if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 414*0Sstevel@tonic-gate 415*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 416*0Sstevel@tonic-gate fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); 417*0Sstevel@tonic-gate BN_print_fp(stdout, x); 418*0Sstevel@tonic-gate fprintf(stdout, "\n y = 0x"); 419*0Sstevel@tonic-gate BN_print_fp(stdout, y); 420*0Sstevel@tonic-gate fprintf(stdout, "\n"); 421*0Sstevel@tonic-gate /* G_y value taken from the standard: */ 422*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; 423*0Sstevel@tonic-gate if (0 != BN_cmp(y, z)) ABORT; 424*0Sstevel@tonic-gate 425*0Sstevel@tonic-gate fprintf(stdout, "verify group order ..."); 426*0Sstevel@tonic-gate fflush(stdout); 427*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 428*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 429*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 430*0Sstevel@tonic-gate fprintf(stdout, "."); 431*0Sstevel@tonic-gate fflush(stdout); 432*0Sstevel@tonic-gate if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 433*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 434*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 435*0Sstevel@tonic-gate fprintf(stdout, " ok\n"); 436*0Sstevel@tonic-gate 437*0Sstevel@tonic-gate if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 438*0Sstevel@tonic-gate if (!EC_GROUP_copy(P_256, group)) ABORT; 439*0Sstevel@tonic-gate 440*0Sstevel@tonic-gate 441*0Sstevel@tonic-gate /* Curve P-384 (FIPS PUB 186-2, App. 6) */ 442*0Sstevel@tonic-gate 443*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 444*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; 445*0Sstevel@tonic-gate if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT; 446*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 447*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; 448*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" 449*0Sstevel@tonic-gate "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; 450*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 451*0Sstevel@tonic-gate 452*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" 453*0Sstevel@tonic-gate "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; 454*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; 455*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 456*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 457*0Sstevel@tonic-gate "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; 458*0Sstevel@tonic-gate if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 459*0Sstevel@tonic-gate 460*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 461*0Sstevel@tonic-gate fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); 462*0Sstevel@tonic-gate BN_print_fp(stdout, x); 463*0Sstevel@tonic-gate fprintf(stdout, "\n y = 0x"); 464*0Sstevel@tonic-gate BN_print_fp(stdout, y); 465*0Sstevel@tonic-gate fprintf(stdout, "\n"); 466*0Sstevel@tonic-gate /* G_y value taken from the standard: */ 467*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" 468*0Sstevel@tonic-gate "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; 469*0Sstevel@tonic-gate if (0 != BN_cmp(y, z)) ABORT; 470*0Sstevel@tonic-gate 471*0Sstevel@tonic-gate fprintf(stdout, "verify group order ..."); 472*0Sstevel@tonic-gate fflush(stdout); 473*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 474*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 475*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 476*0Sstevel@tonic-gate fprintf(stdout, "."); 477*0Sstevel@tonic-gate fflush(stdout); 478*0Sstevel@tonic-gate if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 479*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 480*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 481*0Sstevel@tonic-gate fprintf(stdout, " ok\n"); 482*0Sstevel@tonic-gate 483*0Sstevel@tonic-gate if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 484*0Sstevel@tonic-gate if (!EC_GROUP_copy(P_384, group)) ABORT; 485*0Sstevel@tonic-gate 486*0Sstevel@tonic-gate 487*0Sstevel@tonic-gate /* Curve P-521 (FIPS PUB 186-2, App. 6) */ 488*0Sstevel@tonic-gate 489*0Sstevel@tonic-gate if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 490*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 491*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; 492*0Sstevel@tonic-gate if (1 != BN_is_prime(p, BN_prime_checks, 0, ctx, NULL)) ABORT; 493*0Sstevel@tonic-gate if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 494*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 495*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; 496*0Sstevel@tonic-gate if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" 497*0Sstevel@tonic-gate "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" 498*0Sstevel@tonic-gate "DF883D2C34F1EF451FD46B503F00")) ABORT; 499*0Sstevel@tonic-gate if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; 500*0Sstevel@tonic-gate 501*0Sstevel@tonic-gate if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" 502*0Sstevel@tonic-gate "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" 503*0Sstevel@tonic-gate "3C1856A429BF97E7E31C2E5BD66")) ABORT; 504*0Sstevel@tonic-gate if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; 505*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 506*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" 507*0Sstevel@tonic-gate "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" 508*0Sstevel@tonic-gate "C9B8899C47AEBB6FB71E91386409")) ABORT; 509*0Sstevel@tonic-gate if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; 510*0Sstevel@tonic-gate 511*0Sstevel@tonic-gate if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; 512*0Sstevel@tonic-gate fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); 513*0Sstevel@tonic-gate BN_print_fp(stdout, x); 514*0Sstevel@tonic-gate fprintf(stdout, "\n y = 0x"); 515*0Sstevel@tonic-gate BN_print_fp(stdout, y); 516*0Sstevel@tonic-gate fprintf(stdout, "\n"); 517*0Sstevel@tonic-gate /* G_y value taken from the standard: */ 518*0Sstevel@tonic-gate if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" 519*0Sstevel@tonic-gate "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" 520*0Sstevel@tonic-gate "7086A272C24088BE94769FD16650")) ABORT; 521*0Sstevel@tonic-gate if (0 != BN_cmp(y, z)) ABORT; 522*0Sstevel@tonic-gate 523*0Sstevel@tonic-gate fprintf(stdout, "verify group order ..."); 524*0Sstevel@tonic-gate fflush(stdout); 525*0Sstevel@tonic-gate if (!EC_GROUP_get_order(group, z, ctx)) ABORT; 526*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 527*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 528*0Sstevel@tonic-gate fprintf(stdout, "."); 529*0Sstevel@tonic-gate fflush(stdout); 530*0Sstevel@tonic-gate if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; 531*0Sstevel@tonic-gate if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; 532*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, Q)) ABORT; 533*0Sstevel@tonic-gate fprintf(stdout, " ok\n"); 534*0Sstevel@tonic-gate 535*0Sstevel@tonic-gate if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; 536*0Sstevel@tonic-gate if (!EC_GROUP_copy(P_521, group)) ABORT; 537*0Sstevel@tonic-gate 538*0Sstevel@tonic-gate 539*0Sstevel@tonic-gate /* more tests using the last curve */ 540*0Sstevel@tonic-gate 541*0Sstevel@tonic-gate if (!EC_POINT_copy(Q, P)) ABORT; 542*0Sstevel@tonic-gate if (EC_POINT_is_at_infinity(group, Q)) ABORT; 543*0Sstevel@tonic-gate if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; 544*0Sstevel@tonic-gate if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; 545*0Sstevel@tonic-gate if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ 546*0Sstevel@tonic-gate 547*0Sstevel@tonic-gate if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; 548*0Sstevel@tonic-gate if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; 549*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ 550*0Sstevel@tonic-gate 551*0Sstevel@tonic-gate { 552*0Sstevel@tonic-gate const EC_POINT *points[3]; 553*0Sstevel@tonic-gate const BIGNUM *scalars[3]; 554*0Sstevel@tonic-gate 555*0Sstevel@tonic-gate if (EC_POINT_is_at_infinity(group, Q)) ABORT; 556*0Sstevel@tonic-gate points[0] = Q; 557*0Sstevel@tonic-gate points[1] = Q; 558*0Sstevel@tonic-gate points[2] = Q; 559*0Sstevel@tonic-gate 560*0Sstevel@tonic-gate if (!BN_add(y, z, BN_value_one())) ABORT; 561*0Sstevel@tonic-gate if (BN_is_odd(y)) ABORT; 562*0Sstevel@tonic-gate if (!BN_rshift1(y, y)) ABORT; 563*0Sstevel@tonic-gate scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ 564*0Sstevel@tonic-gate scalars[1] = y; 565*0Sstevel@tonic-gate 566*0Sstevel@tonic-gate fprintf(stdout, "combined multiplication ..."); 567*0Sstevel@tonic-gate fflush(stdout); 568*0Sstevel@tonic-gate 569*0Sstevel@tonic-gate /* z is still the group order */ 570*0Sstevel@tonic-gate if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 571*0Sstevel@tonic-gate if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; 572*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; 573*0Sstevel@tonic-gate if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; 574*0Sstevel@tonic-gate 575*0Sstevel@tonic-gate fprintf(stdout, "."); 576*0Sstevel@tonic-gate fflush(stdout); 577*0Sstevel@tonic-gate 578*0Sstevel@tonic-gate if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; 579*0Sstevel@tonic-gate if (!BN_add(z, z, y)) ABORT; 580*0Sstevel@tonic-gate z->neg = 1; 581*0Sstevel@tonic-gate scalars[0] = y; 582*0Sstevel@tonic-gate scalars[1] = z; /* z = -(order + y) */ 583*0Sstevel@tonic-gate 584*0Sstevel@tonic-gate if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; 585*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, P)) ABORT; 586*0Sstevel@tonic-gate 587*0Sstevel@tonic-gate fprintf(stdout, "."); 588*0Sstevel@tonic-gate fflush(stdout); 589*0Sstevel@tonic-gate 590*0Sstevel@tonic-gate if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; 591*0Sstevel@tonic-gate if (!BN_add(z, x, y)) ABORT; 592*0Sstevel@tonic-gate z->neg = 1; 593*0Sstevel@tonic-gate scalars[0] = x; 594*0Sstevel@tonic-gate scalars[1] = y; 595*0Sstevel@tonic-gate scalars[2] = z; /* z = -(x+y) */ 596*0Sstevel@tonic-gate 597*0Sstevel@tonic-gate if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; 598*0Sstevel@tonic-gate if (!EC_POINT_is_at_infinity(group, P)) ABORT; 599*0Sstevel@tonic-gate 600*0Sstevel@tonic-gate fprintf(stdout, " ok\n\n"); 601*0Sstevel@tonic-gate } 602*0Sstevel@tonic-gate 603*0Sstevel@tonic-gate 604*0Sstevel@tonic-gate #if 0 605*0Sstevel@tonic-gate timings(P_192, 0, ctx); 606*0Sstevel@tonic-gate timings(P_192, 1, ctx); 607*0Sstevel@tonic-gate timings(P_224, 0, ctx); 608*0Sstevel@tonic-gate timings(P_224, 1, ctx); 609*0Sstevel@tonic-gate timings(P_256, 0, ctx); 610*0Sstevel@tonic-gate timings(P_256, 1, ctx); 611*0Sstevel@tonic-gate timings(P_384, 0, ctx); 612*0Sstevel@tonic-gate timings(P_384, 1, ctx); 613*0Sstevel@tonic-gate timings(P_521, 0, ctx); 614*0Sstevel@tonic-gate timings(P_521, 1, ctx); 615*0Sstevel@tonic-gate #endif 616*0Sstevel@tonic-gate 617*0Sstevel@tonic-gate 618*0Sstevel@tonic-gate if (ctx) 619*0Sstevel@tonic-gate BN_CTX_free(ctx); 620*0Sstevel@tonic-gate BN_free(p); BN_free(a); BN_free(b); 621*0Sstevel@tonic-gate EC_GROUP_free(group); 622*0Sstevel@tonic-gate EC_POINT_free(P); 623*0Sstevel@tonic-gate EC_POINT_free(Q); 624*0Sstevel@tonic-gate EC_POINT_free(R); 625*0Sstevel@tonic-gate BN_free(x); BN_free(y); BN_free(z); 626*0Sstevel@tonic-gate 627*0Sstevel@tonic-gate if (P_192) EC_GROUP_free(P_192); 628*0Sstevel@tonic-gate if (P_224) EC_GROUP_free(P_224); 629*0Sstevel@tonic-gate if (P_256) EC_GROUP_free(P_256); 630*0Sstevel@tonic-gate if (P_384) EC_GROUP_free(P_384); 631*0Sstevel@tonic-gate if (P_521) EC_GROUP_free(P_521); 632*0Sstevel@tonic-gate 633*0Sstevel@tonic-gate #ifndef OPENSSL_NO_ENGINE 634*0Sstevel@tonic-gate ENGINE_cleanup(); 635*0Sstevel@tonic-gate #endif 636*0Sstevel@tonic-gate CRYPTO_cleanup_all_ex_data(); 637*0Sstevel@tonic-gate ERR_free_strings(); 638*0Sstevel@tonic-gate ERR_remove_state(0); 639*0Sstevel@tonic-gate CRYPTO_mem_leaks_fp(stderr); 640*0Sstevel@tonic-gate 641*0Sstevel@tonic-gate return 0; 642*0Sstevel@tonic-gate } 643*0Sstevel@tonic-gate #endif 644