-/* $OpenBSD: ectest.c,v 1.14 2023/04/17 20:41:02 tb Exp $ */
+/* $OpenBSD: ectest.c,v 1.15 2023/04/18 07:54:42 tb Exp $ */
/* crypto/ec/ectest.c */
/*
* Originally written by Bodo Moeller for the OpenSSL project.
if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
if (!EC_GROUP_copy(_variable, group)) ABORT; \
-#ifndef OPENSSL_NO_EC2M
-
- static void char2_field_tests(void)
-{
- BN_CTX *ctx = NULL;
- BIGNUM *p, *a, *b;
- EC_GROUP *group;
- EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
- EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
- EC_POINT *P, *Q, *R;
- BIGNUM *x, *y, *z, *cof;
- unsigned char buf[100];
- size_t i, len;
- int k;
-
-#if 1 /* optional */
- ctx = BN_CTX_new();
- if (!ctx)
- ABORT;
-#endif
-
- p = BN_new();
- a = BN_new();
- b = BN_new();
- if (!p || !a || !b)
- ABORT;
-
- if (!BN_hex2bn(&p, "13"))
- ABORT;
- if (!BN_hex2bn(&a, "3"))
- ABORT;
- if (!BN_hex2bn(&b, "1"))
- ABORT;
-
- 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 (!group)
- ABORT;
- if (!EC_GROUP_set_curve(group, p, a, b, ctx))
- ABORT;
-
- {
- EC_GROUP *tmp;
- tmp = EC_GROUP_new(EC_GROUP_method_of(group));
- if (!tmp)
- ABORT;
- if (!EC_GROUP_copy(tmp, group))
- ABORT;
- EC_GROUP_free(group);
- group = tmp;
- }
-
- if (!EC_GROUP_get_curve(group, p, a, b, ctx))
- ABORT;
-
- fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
- BN_print_fp(stdout, p);
- fprintf(stdout, ")\n a = 0x");
- BN_print_fp(stdout, a);
- fprintf(stdout, "\n b = 0x");
- BN_print_fp(stdout, b);
- fprintf(stdout, "\n(0x... means binary polynomial)\n");
-
- P = EC_POINT_new(group);
- Q = EC_POINT_new(group);
- R = EC_POINT_new(group);
- if (!P || !Q || !R)
- ABORT;
-
- if (!EC_POINT_set_to_infinity(group, P))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- buf[0] = 0;
- if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
- ABORT;
-
- if (!EC_POINT_add(group, P, P, Q, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- x = BN_new();
- y = BN_new();
- z = BN_new();
- cof = BN_new();
- if (!x || !y || !z || !cof)
- ABORT;
-
- if (!BN_hex2bn(&x, "6"))
- ABORT;
-/* Change test based on whether binary point compression is enabled or not. */
-#ifdef OPENSSL_EC_BIN_PT_COMP
- if (!EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx))
- ABORT;
-#else
- if (!BN_hex2bn(&y, "8"))
- ABORT;
- if (!EC_POINT_set_affine_coordinates(group, Q, x, y, ctx))
- ABORT;
-#endif
- if (!EC_POINT_is_on_curve(group, Q, ctx)) {
-/* Change test based on whether binary point compression is enabled or not. */
-#ifdef OPENSSL_EC_BIN_PT_COMP
- if (!EC_POINT_get_affine_coordinates(group, Q, x, y, ctx))
- ABORT;
-#endif
- fprintf(stderr, "Point is not on curve: x = 0x");
- BN_print_fp(stderr, x);
- fprintf(stderr, ", y = 0x");
- BN_print_fp(stderr, y);
- fprintf(stderr, "\n");
- ABORT;
- }
-
- fprintf(stdout, "A cyclic subgroup:\n");
- k = 100;
- do
- {
- if (k-- == 0)
- ABORT;
-
- if (EC_POINT_is_at_infinity(group, P))
- fprintf(stdout, " point at infinity\n");
- else {
- if (!EC_POINT_get_affine_coordinates(group, P, x, y, ctx))
- ABORT;
-
- fprintf(stdout, " x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, ", y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- }
-
- if (!EC_POINT_copy(R, P))
- ABORT;
- if (!EC_POINT_add(group, P, P, Q, ctx))
- ABORT;
- }
- while (!EC_POINT_is_at_infinity(group, P));
-
- if (!EC_POINT_add(group, P, Q, R, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
-/* 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 (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "Generator as octet string, compressed form:\n ");
- for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
-#endif
-
- len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
- if (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
- for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
-
-/* 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 (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
- for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
-#endif
-
- fprintf(stdout, "\n");
-
- if (!EC_POINT_invert(group, P, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, R, ctx))
- ABORT;
-
-
- /* Curve K-163 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve K-163",
- "0800000000000000000000000000000000000000C9",
- "1",
- "1",
- "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
- "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
- 1,
- "04000000000000000000020108A2E0CC0D99F8A5EF",
- "2",
- 163,
- C2_K163
- );
-
- /* Curve B-163 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve B-163",
- "0800000000000000000000000000000000000000C9",
- "1",
- "020A601907B8C953CA1481EB10512F78744A3205FD",
- "03F0EBA16286A2D57EA0991168D4994637E8343E36",
- "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
- 1,
- "040000000000000000000292FE77E70C12A4234C33",
- "2",
- 163,
- C2_B163
- );
-
- /* Curve K-233 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve K-233",
- "020000000000000000000000000000000000000004000000000000000001",
- "0",
- "1",
- "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
- "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
- 0,
- "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
- "4",
- 233,
- C2_K233
- );
-
- /* Curve B-233 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve B-233",
- "020000000000000000000000000000000000000004000000000000000001",
- "000000000000000000000000000000000000000000000000000000000001",
- "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
- "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
- "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
- 1,
- "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
- "2",
- 233,
- C2_B233
- );
-
- /* Curve K-283 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve K-283",
- "0800000000000000000000000000000000000000000000000000000000000000000010A1",
- "0",
- "1",
- "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
- "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
- 0,
- "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
- "4",
- 283,
- C2_K283
- );
-
- /* Curve B-283 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve B-283",
- "0800000000000000000000000000000000000000000000000000000000000000000010A1",
- "000000000000000000000000000000000000000000000000000000000000000000000001",
- "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
- "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
- "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
- 1,
- "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
- "2",
- 283,
- C2_B283
- );
-
- /* Curve K-409 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve K-409",
- "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
- "0",
- "1",
- "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
- "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
- 1,
- "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
- "4",
- 409,
- C2_K409
- );
-
- /* Curve B-409 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve B-409",
- "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
- "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
- "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
- "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
- "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
- 1,
- "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
- "2",
- 409,
- C2_B409
- );
-
- /* Curve K-571 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve K-571",
- "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
- "0",
- "1",
- "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
- "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
- 0,
- "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
- "4",
- 571,
- C2_K571
- );
-
- /* Curve B-571 (FIPS PUB 186-2, App. 6) */
- CHAR2_CURVE_TEST
- (
- "NIST curve B-571",
- "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
- "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
- "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
- "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
- "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
- 1,
- "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
- "2",
- 571,
- C2_B571
- );
-
- /* more tests using the last curve */
- fprintf(stdout, "infinity tests ...");
- fflush(stdout);
- if (!EC_POINT_copy(Q, P))
- ABORT;
- if (EC_POINT_is_at_infinity(group, Q))
- ABORT;
- /* P := 2P */
- if (!EC_POINT_dbl(group, P, P, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- /* Q := -P */
- if (!EC_POINT_invert(group, Q, ctx))
- ABORT;
- /* R := 2P - P = P */
- if (!EC_POINT_add(group, R, P, Q, ctx))
- ABORT;
- /* R := R + Q = P - P = infty */
- if (!EC_POINT_add(group, R, R, Q, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, R))
- ABORT;
- fprintf(stdout, " ok\n\n");
-
- if (ctx)
- BN_CTX_free(ctx);
- BN_free(p);
- BN_free(a);
- BN_free(b);
- EC_GROUP_free(group);
- EC_POINT_free(P);
- EC_POINT_free(Q);
- EC_POINT_free(R);
- BN_free(x);
- BN_free(y);
- BN_free(z);
- BN_free(cof);
-
- if (C2_K163)
- EC_GROUP_free(C2_K163);
- if (C2_B163)
- EC_GROUP_free(C2_B163);
- if (C2_K233)
- EC_GROUP_free(C2_K233);
- if (C2_B233)
- EC_GROUP_free(C2_B233);
- if (C2_K283)
- EC_GROUP_free(C2_K283);
- if (C2_B283)
- EC_GROUP_free(C2_B283);
- if (C2_K409)
- EC_GROUP_free(C2_K409);
- if (C2_B409)
- EC_GROUP_free(C2_B409);
- if (C2_K571)
- EC_GROUP_free(C2_K571);
- if (C2_B571)
- EC_GROUP_free(C2_B571);
-
-}
-#endif
static void
internal_curve_test(void)
prime_field_tests();
puts("");
-#ifndef OPENSSL_NO_EC2M
- char2_field_tests();
-#endif
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
nistp_tests();
#endif
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