/* * ***** BEGIN LICENSE BLOCK ***** * Version: MPL 1.1/GPL 2.0/LGPL 2.1 * * The contents of this file are subject to the Mozilla Public License Version * 1.1 (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * Software distributed under the License is distributed on an "AS IS" basis, * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License * for the specific language governing rights and limitations under the * License. * * The Original Code is the elliptic curve math library for binary polynomial field curves. * * The Initial Developer of the Original Code is * Sun Microsystems, Inc. * Portions created by the Initial Developer are Copyright (C) 2003 * the Initial Developer. All Rights Reserved. * * Contributor(s): * Douglas Stebila , Sun Microsystems Laboratories * * Alternatively, the contents of this file may be used under the terms of * either the GNU General Public License Version 2 or later (the "GPL"), or * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), * in which case the provisions of the GPL or the LGPL are applicable instead * of those above. If you wish to allow use of your version of this file only * under the terms of either the GPL or the LGPL, and not to allow others to * use your version of this file under the terms of the MPL, indicate your * decision by deleting the provisions above and replace them with the notice * and other provisions required by the GPL or the LGPL. If you do not delete * the provisions above, a recipient may use your version of this file under * the terms of any one of the MPL, the GPL or the LGPL. * * ***** END LICENSE BLOCK ***** */ /* * Copyright 2007 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. * * Sun elects to use this software under the MPL license. */ #pragma ident "%Z%%M% %I% %E% SMI" #ifdef _KERNEL #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #else #include #include #include #include #include #include #include #endif /* _KERNEL */ #include "mpi.h" #include "mplogic.h" #include "mpprime.h" #include "mp_gf2m.h" #include "ecl.h" #include "ecl-curve.h" #include "ec2.h" #include "ecc_impl.h" #include "ec.h" #ifndef KM_SLEEP #define KM_SLEEP 0 #endif #ifndef _KERNEL /* Time k repetitions of operation op. */ #define M_TimeOperation(op, k) { \ double dStart, dNow, dUserTime; \ struct rusage ru; \ int i; \ getrusage(RUSAGE_SELF, &ru); \ dStart = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \ for (i = 0; i < k; i++) { \ { op; } \ }; \ getrusage(RUSAGE_SELF, &ru); \ dNow = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \ dUserTime = dNow-dStart; \ if (dUserTime) printf(" %-45s k: %6i, t: %6.2f sec\n", #op, k, dUserTime); \ } #else #define M_TimeOperation(op, k) #endif /* Test curve using generic field arithmetic. */ #define ECTEST_GENERIC_GF2M(name_c, name) \ printf("Testing %s using generic implementation...\n", name_c); \ params = EC_GetNamedCurveParams(name, KM_SLEEP); \ if (params == NULL) { \ printf(" Error: could not construct params.\n"); \ res = MP_NO; \ goto CLEANUP; \ } \ ECGroup_free(group); \ group = ECGroup_fromHex(params, KM_SLEEP); \ if (group == NULL) { \ printf(" Error: could not construct group.\n"); \ res = MP_NO; \ goto CLEANUP; \ } \ MP_CHECKOK( ectest_curve_GF2m(group, ectestPrint, ectestTime, 1, KM_SLEEP) ); \ printf("... okay.\n"); /* Test curve using specific field arithmetic. */ #define ECTEST_NAMED_GF2M(name_c, name) \ printf("Testing %s using specific implementation...\n", name_c); \ ECGroup_free(group); \ group = ECGroup_fromName(name, KM_SLEEP); \ if (group == NULL) { \ printf(" Warning: could not construct group.\n"); \ printf("... failed; continuing with remaining tests.\n"); \ } else { \ MP_CHECKOK( ectest_curve_GF2m(group, ectestPrint, ectestTime, 0, KM_SLEEP) ); \ printf("... okay.\n"); \ } /* Performs basic tests of elliptic curve cryptography over binary * polynomial fields. If tests fail, then it prints an error message, * aborts, and returns an error code. Otherwise, returns 0. */ int ectest_curve_GF2m(ECGroup *group, int ectestPrint, int ectestTime, int generic, int kmflag) { mp_int one, order_1, gx, gy, rx, ry, n; int size; mp_err res; char s[1000]; /* initialize values */ MP_CHECKOK(mp_init(&one, kmflag)); MP_CHECKOK(mp_init(&order_1, kmflag)); MP_CHECKOK(mp_init(&gx, kmflag)); MP_CHECKOK(mp_init(&gy, kmflag)); MP_CHECKOK(mp_init(&rx, kmflag)); MP_CHECKOK(mp_init(&ry, kmflag)); MP_CHECKOK(mp_init(&n, kmflag)); MP_CHECKOK(mp_set_int(&one, 1)); MP_CHECKOK(mp_sub(&group->order, &one, &order_1)); /* encode base point */ if (group->meth->field_dec) { MP_CHECKOK(group->meth->field_dec(&group->genx, &gx, group->meth)); MP_CHECKOK(group->meth->field_dec(&group->geny, &gy, group->meth)); } else { MP_CHECKOK(mp_copy(&group->genx, &gx)); MP_CHECKOK(mp_copy(&group->geny, &gy)); } if (ectestPrint) { /* output base point */ printf(" base point P:\n"); MP_CHECKOK(mp_toradix(&gx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&gy, s, 16)); printf(" %s\n", s); if (group->meth->field_enc) { printf(" base point P (encoded):\n"); MP_CHECKOK(mp_toradix(&group->genx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&group->geny, s, 16)); printf(" %s\n", s); } } #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF /* multiply base point by order - 1 and check for negative of base * point */ MP_CHECKOK(ec_GF2m_pt_mul_aff (&order_1, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order-1)*P (affine):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &group->genx) != 0) || (mp_cmp(&ry, &group->geny) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } #endif /* multiply base point by order - 1 and check for negative of base * point */ MP_CHECKOK(ec_GF2m_pt_mul_mont (&order_1, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order-1)*P (montgomery):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &group->genx) != 0) || (mp_cmp(&ry, &group->geny) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } #ifdef ECL_ENABLE_GF2M_PROJ /* multiply base point by order - 1 and check for negative of base * point */ MP_CHECKOK(ec_GF2m_pt_mul_proj (&order_1, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order-1)*P (projective):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(group->meth->field_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &group->genx) != 0) || (mp_cmp(&ry, &group->geny) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } #endif /* multiply base point by order - 1 and check for negative of base * point */ MP_CHECKOK(ECPoint_mul(group, &order_1, NULL, NULL, &rx, &ry)); if (ectestPrint) { printf(" (order-1)*P (ECPoint_mul):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } /* multiply base point by order - 1 and check for negative of base * point */ MP_CHECKOK(ECPoint_mul(group, &order_1, &gx, &gy, &rx, &ry)); if (ectestPrint) { printf(" (order-1)*P (ECPoint_mul):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF /* multiply base point by order and check for point at infinity */ MP_CHECKOK(ec_GF2m_pt_mul_aff (&group->order, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order)*P (affine):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) { printf(" Error: invalid result (expected point at infinity).\n"); res = MP_NO; goto CLEANUP; } #endif /* multiply base point by order and check for point at infinity */ MP_CHECKOK(ec_GF2m_pt_mul_mont (&group->order, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order)*P (montgomery):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) { printf(" Error: invalid result (expected point at infinity).\n"); res = MP_NO; goto CLEANUP; } #ifdef ECL_ENABLE_GF2M_PROJ /* multiply base point by order and check for point at infinity */ MP_CHECKOK(ec_GF2m_pt_mul_proj (&group->order, &group->genx, &group->geny, &rx, &ry, group)); if (ectestPrint) { printf(" (order)*P (projective):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) { printf(" Error: invalid result (expected point at infinity).\n"); res = MP_NO; goto CLEANUP; } #endif /* multiply base point by order and check for point at infinity */ MP_CHECKOK(ECPoint_mul(group, &group->order, NULL, NULL, &rx, &ry)); if (ectestPrint) { printf(" (order)*P (ECPoint_mul):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) { printf(" Error: invalid result (expected point at infinity).\n"); res = MP_NO; goto CLEANUP; } /* multiply base point by order and check for point at infinity */ MP_CHECKOK(ECPoint_mul(group, &group->order, &gx, &gy, &rx, &ry)); if (ectestPrint) { printf(" (order)*P (ECPoint_mul):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } if (ec_GF2m_pt_is_inf_aff(&rx, &ry) != MP_YES) { printf(" Error: invalid result (expected point at infinity).\n"); res = MP_NO; goto CLEANUP; } /* check that (order-1)P + (order-1)P + P == (order-1)P */ MP_CHECKOK(ECPoints_mul (group, &order_1, &order_1, &gx, &gy, &rx, &ry)); MP_CHECKOK(ECPoints_mul(group, &one, &one, &rx, &ry, &rx, &ry)); if (ectestPrint) { printf (" (order-1)*P + (order-1)*P + P == (order-1)*P (ECPoints_mul):\n"); MP_CHECKOK(mp_toradix(&rx, s, 16)); printf(" %s\n", s); MP_CHECKOK(mp_toradix(&ry, s, 16)); printf(" %s\n", s); } MP_CHECKOK(ec_GF2m_add(&ry, &rx, &ry, group->meth)); if ((mp_cmp(&rx, &gx) != 0) || (mp_cmp(&ry, &gy) != 0)) { printf(" Error: invalid result (expected (- base point)).\n"); res = MP_NO; goto CLEANUP; } /* test validate_point function */ if (ECPoint_validate(group, &gx, &gy) != MP_YES) { printf(" Error: validate point on base point failed.\n"); res = MP_NO; goto CLEANUP; } MP_CHECKOK(mp_add_d(&gy, 1, &ry)); if (ECPoint_validate(group, &gx, &ry) != MP_NO) { printf(" Error: validate point on invalid point passed.\n"); res = MP_NO; goto CLEANUP; } if (ectestTime) { /* compute random scalar */ size = mpl_significant_bits(&group->meth->irr); if (size < MP_OKAY) { goto CLEANUP; } MP_CHECKOK(mpp_random_size(&n, (size + ECL_BITS - 1) / ECL_BITS)); MP_CHECKOK(group->meth->field_mod(&n, &n, group->meth)); /* timed test */ if (generic) { #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF M_TimeOperation(MP_CHECKOK (ec_GF2m_pt_mul_aff (&n, &group->genx, &group->geny, &rx, &ry, group)), 100); #endif M_TimeOperation(MP_CHECKOK (ECPoint_mul(group, &n, NULL, NULL, &rx, &ry)), 100); M_TimeOperation(MP_CHECKOK (ECPoints_mul (group, &n, &n, &gx, &gy, &rx, &ry)), 100); } else { M_TimeOperation(MP_CHECKOK (ECPoint_mul(group, &n, NULL, NULL, &rx, &ry)), 100); M_TimeOperation(MP_CHECKOK (ECPoint_mul(group, &n, &gx, &gy, &rx, &ry)), 100); M_TimeOperation(MP_CHECKOK (ECPoints_mul (group, &n, &n, &gx, &gy, &rx, &ry)), 100); } } CLEANUP: mp_clear(&one); mp_clear(&order_1); mp_clear(&gx); mp_clear(&gy); mp_clear(&rx); mp_clear(&ry); mp_clear(&n); if (res != MP_OKAY) { #ifdef _KERNEL printf(" Error: exiting with error value 0x%x\n", res); #else printf(" Error: exiting with error value %i\n", res); #endif } return res; } /* Performs tests of elliptic curve cryptography over binary polynomial * fields. If tests fail, then it prints an error message, aborts, and * returns an error code. Otherwise, returns 0. */ int ec2_test() { int ectestTime = 0; int ectestPrint = 0; int i; ECGroup *group = NULL; ECCurveParams *params = NULL; mp_err res; /* generic arithmetic tests */ ECTEST_GENERIC_GF2M("SECT-131R1", ECCurve_SECG_CHAR2_131R1); /* specific arithmetic tests */ ECTEST_NAMED_GF2M("NIST-K163", ECCurve_NIST_K163); ECTEST_NAMED_GF2M("NIST-B163", ECCurve_NIST_B163); ECTEST_NAMED_GF2M("NIST-K233", ECCurve_NIST_K233); ECTEST_NAMED_GF2M("NIST-B233", ECCurve_NIST_B233); ECTEST_NAMED_GF2M("NIST-K283", ECCurve_NIST_K283); ECTEST_NAMED_GF2M("NIST-B283", ECCurve_NIST_B283); ECTEST_NAMED_GF2M("NIST-K409", ECCurve_NIST_K409); ECTEST_NAMED_GF2M("NIST-B409", ECCurve_NIST_B409); ECTEST_NAMED_GF2M("NIST-K571", ECCurve_NIST_K571); ECTEST_NAMED_GF2M("NIST-B571", ECCurve_NIST_B571); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V1", ECCurve_X9_62_CHAR2_PNB163V1); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V2", ECCurve_X9_62_CHAR2_PNB163V2); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB163V3", ECCurve_X9_62_CHAR2_PNB163V3); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB176V1", ECCurve_X9_62_CHAR2_PNB176V1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V1", ECCurve_X9_62_CHAR2_TNB191V1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V2", ECCurve_X9_62_CHAR2_TNB191V2); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB191V3", ECCurve_X9_62_CHAR2_TNB191V3); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB208W1", ECCurve_X9_62_CHAR2_PNB208W1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V1", ECCurve_X9_62_CHAR2_TNB239V1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V2", ECCurve_X9_62_CHAR2_TNB239V2); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB239V3", ECCurve_X9_62_CHAR2_TNB239V3); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB272W1", ECCurve_X9_62_CHAR2_PNB272W1); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB304W1", ECCurve_X9_62_CHAR2_PNB304W1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB359V1", ECCurve_X9_62_CHAR2_TNB359V1); ECTEST_NAMED_GF2M("ANSI X9.62 C2PNB368W1", ECCurve_X9_62_CHAR2_PNB368W1); ECTEST_NAMED_GF2M("ANSI X9.62 C2TNB431R1", ECCurve_X9_62_CHAR2_TNB431R1); ECTEST_NAMED_GF2M("SECT-113R1", ECCurve_SECG_CHAR2_113R1); ECTEST_NAMED_GF2M("SECT-113R2", ECCurve_SECG_CHAR2_113R2); ECTEST_NAMED_GF2M("SECT-131R1", ECCurve_SECG_CHAR2_131R1); ECTEST_NAMED_GF2M("SECT-131R2", ECCurve_SECG_CHAR2_131R2); ECTEST_NAMED_GF2M("SECT-163K1", ECCurve_SECG_CHAR2_163K1); ECTEST_NAMED_GF2M("SECT-163R1", ECCurve_SECG_CHAR2_163R1); ECTEST_NAMED_GF2M("SECT-163R2", ECCurve_SECG_CHAR2_163R2); ECTEST_NAMED_GF2M("SECT-193R1", ECCurve_SECG_CHAR2_193R1); ECTEST_NAMED_GF2M("SECT-193R2", ECCurve_SECG_CHAR2_193R2); ECTEST_NAMED_GF2M("SECT-233K1", ECCurve_SECG_CHAR2_233K1); ECTEST_NAMED_GF2M("SECT-233R1", ECCurve_SECG_CHAR2_233R1); ECTEST_NAMED_GF2M("SECT-239K1", ECCurve_SECG_CHAR2_239K1); ECTEST_NAMED_GF2M("SECT-283K1", ECCurve_SECG_CHAR2_283K1); ECTEST_NAMED_GF2M("SECT-283R1", ECCurve_SECG_CHAR2_283R1); ECTEST_NAMED_GF2M("SECT-409K1", ECCurve_SECG_CHAR2_409K1); ECTEST_NAMED_GF2M("SECT-409R1", ECCurve_SECG_CHAR2_409R1); ECTEST_NAMED_GF2M("SECT-571K1", ECCurve_SECG_CHAR2_571K1); ECTEST_NAMED_GF2M("SECT-571R1", ECCurve_SECG_CHAR2_571R1); ECTEST_NAMED_GF2M("WTLS-1 (113)", ECCurve_WTLS_1); ECTEST_NAMED_GF2M("WTLS-3 (163)", ECCurve_WTLS_3); ECTEST_NAMED_GF2M("WTLS-4 (113)", ECCurve_WTLS_4); ECTEST_NAMED_GF2M("WTLS-5 (163)", ECCurve_WTLS_5); ECTEST_NAMED_GF2M("WTLS-10 (233)", ECCurve_WTLS_10); ECTEST_NAMED_GF2M("WTLS-11 (233)", ECCurve_WTLS_11); CLEANUP: EC_FreeCurveParams(params); ECGroup_free(group); if (res != MP_OKAY) { #ifdef _KERNEL printf("Error: exiting with error value 0x%x\n", res); #else printf("Error: exiting with error value %i\n", res); #endif } return res; }