1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798991001011021031041051061071081091101111121131141151161171181191201211221231241251261271281291301311321331341351361371381391401411421431441451461471481491501511521531541551561571581591601611621631641651661671681691701711721731741751761771781791801811821831841851861871881891901911921931941951961971981992002012022032042052062072082092102112122132142152162172182192202212222232242252262272282292302312322332342352362372382392402412422432442452462472482492502512522532542552562572582592602612622632642652662672682692702712722732742752762772782792802812822832842852862872882892902912922932942952962972982993003013023033043053063073083093103113123133143153163173183193203213223233243253263273283293303313323333343353363373383393403413423433443453463473483493503513523533543553563573583593603613623633643653663673683693703713723733743753763773783793803813823833843853863873883893903913923933943953963973983994004014024034044054064074084094104114124134144154164174184194204214224234244254264274284294304314324334344354364374384394404414424434444454464474484494504514524534544554564574584594604614624634644654664674684694704714724734744754764774784794804814824834844854864874884894904914924934944954964974984995005015025035045055065075085095105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445455465475485495505515525535545555565575585595605615625635645655665675685695705715725735745755765775785795805815825835845855865875885895905915925935945955965975985996006016026036046056066076086096106116126136146156166176186196206216226236246256266276286296306316326336346356366376386396406416426436446456466476486496506516526536546556566576586596606616626636646656666676686696706716726736746756766776786796806816826836846856866876886896906916926936946956966976986997007017027037047057067077087097107117127137147157167177187197207217227237247257267277287297307317327337347357367377387397407417427437447457467477487497507517527537547557567577587597607617627637647657667677687697707717727737747757767777787797807817827837847857867877887897907917927937947957967977987998008018028038048058068078088098108118128138148158168178188198208218228238248258268278288298308318328338348358368378388398408418428438448458468478488498508518528538548558568578588598608618628638648658668678688698708718728738748758768778788798808818828838848858868878888898908918928938948958968978988999009019029039049059069079089099109119129139149159169179189199209219229239249259269279289299309319329339349359369379389399409419429439449459469479489499509519529539549559569579589599609619629639649659669679689699709719729739749759769779789799809819829839849859869879889899909919929939949959969979989991000100110021003100410051006100710081009101010111012101310141015101610171018101910201021102210231024102510261027102810291030103110321033103410351036103710381039104010411042104310441045104610471048104910501051105210531054105510561057105810591060106110621063106410651066106710681069107010711072107310741075107610771078107910801081108210831084108510861087108810891090109110921093109410951096109710981099110011011102110311041105110611071108110911101111111211131114111511161117111811191120112111221123112411251126112711281129113011311132113311341135113611371138113911401141114211431144114511461147114811491150115111521153115411551156115711581159116011611162116311641165116611671168116911701171117211731174117511761177117811791180118111821183118411851186118711881189119011911192119311941195119611971198119912001201120212031204120512061207120812091210121112121213121412151216121712181219122012211222122312241225122612271228122912301231123212331234123512361237123812391240124112421243124412451246124712481249125012511252125312541255125612571258125912601261126212631264126512661267126812691270127112721273127412751276127712781279128012811282128312841285128612871288128912901291129212931294129512961297129812991300130113021303130413051306130713081309131013111312131313141315131613171318131913201321132213231324132513261327132813291330133113321333133413351336133713381339134013411342134313441345134613471348134913501351135213531354135513561357135813591360136113621363136413651366136713681369137013711372137313741375137613771378137913801381138213831384138513861387138813891390139113921393139413951396139713981399140014011402140314041405140614071408140914101411141214131414141514161417141814191420142114221423142414251426142714281429143014311432143314341435143614371438143914401441144214431444144514461447144814491450145114521453145414551456145714581459146014611462146314641465146614671468146914701471147214731474147514761477147814791480148114821483148414851486148714881489149014911492149314941495149614971498149915001501150215031504150515061507150815091510151115121513151415151516151715181519152015211522152315241525 |
- /*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
- *
- * Licensed under the OpenSSL license (the "License"). You may not use
- * 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;
- }
- # 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;
- }
- # 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,
- };
- 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;
- }
- #endif
- 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(prime_field_tests);
- # ifndef OPENSSL_NO_EC2M
- 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));
- # endif
- ADD_ALL_TESTS(internal_curve_test, crv_len);
- ADD_ALL_TESTS(internal_curve_test_method, crv_len);
- #endif
- return 1;
- }
- void cleanup_tests(void)
- {
- #ifndef OPENSSL_NO_EC
- OPENSSL_free(curves);
- #endif
- }
|