/*############################################################################
# Copyright 2016-2017 Intel Corporation
#
# Licensed under the Apache License, Version 2.0 (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.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
############################################################################*/
/// EpidNrProve implementation.
/*! \file */
#include "epid/member/src/nrprove.h"
#include <stddef.h>
#include <stdint.h>
#include "epid/common/src/endian_convert.h"
#include "epid/common/src/epid2params.h"
#include "epid/common/src/hashsize.h"
#include "epid/common/src/memory.h"
#include "epid/common/stdtypes.h"
#include "epid/common/types.h"
#include "epid/member/src/context.h"
#include "epid/member/src/nrprove_commitment.h"
#include "epid/member/src/privateexp.h"
#include "epid/member/tpm2/commit.h"
#include "epid/member/tpm2/sign.h"
/// Handle SDK Error with Break
#define BREAK_ON_EPID_ERROR(ret) \
if (kEpidNoErr != (ret)) { \
break; \
}
/// Count of elements in array
#define COUNT_OF(A) (sizeof(A) / sizeof((A)[0]))
static bool IsIdentity(G1ElemStr const* elem_str) {
unsigned char* bytes = (unsigned char*)elem_str;
if (!bytes) {
return false;
} else {
size_t i = 0;
for (i = 0; i < sizeof(*elem_str); i++) {
if (0 != bytes[i]) return false;
}
}
return true;
}
EpidStatus EpidNrProve(MemberCtx const* ctx, void const* msg, size_t msg_len,
void const* basename, size_t basename_len,
BasicSignature const* sig, SigRlEntry const* sigrl_entry,
NrProof* proof) {
EpidStatus sts = kEpidErr;
EcPoint* B = NULL;
EcPoint* K = NULL;
EcPoint* rlB = NULL;
EcPoint* rlK = NULL;
EcPoint* t = NULL; // temp value in G1 either T, R1, R2
EcPoint* k_tpm = NULL;
EcPoint* l_tpm = NULL;
EcPoint* e_tpm = NULL;
EcPoint* D = NULL;
FfElement* y2 = NULL;
uint8_t* s2 = NULL;
FfElement* mu = NULL;
FfElement* nu = NULL;
FfElement* rmu = NULL;
FfElement* t2 = NULL; // temporary for multiplication
FfElement* c = NULL;
uint8_t* digest = NULL;
BigNumStr mu_str = {0};
BigNumStr nu_str = {0};
BigNumStr rmu_str = {0};
if (!ctx || (0 != msg_len && !msg) || !sig || !sigrl_entry || !proof)
return kEpidBadArgErr;
if (!basename || 0 == basename_len) {
// basename should not be empty
return kEpidBadArgErr;
}
if (!ctx->epid2_params) return kEpidBadArgErr;
do {
NrProveCommitOutput commit_out = {0};
FiniteField* Fp = ctx->epid2_params->Fp;
FiniteField* Fq = ctx->epid2_params->Fq;
EcGroup* G1 = ctx->epid2_params->G1;
BitSupplier rnd_func = ctx->rnd_func;
void* rnd_param = ctx->rnd_param;
uint32_t i = 0;
G1ElemStr B_str = {0};
const BigNumStr kOne = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1};
FpElemStr c_str = {0};
uint16_t rnu_ctr =
0; ///< TPM counter pointing to Nr Proof related random value
size_t digest_len = EpidGetHashSize(ctx->hash_alg);
sts = NewEcPoint(G1, &B);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &K);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &rlB);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &rlK);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &D);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &t);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &y2);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &k_tpm);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &l_tpm);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &e_tpm);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &mu);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &nu);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &rmu);
BREAK_ON_EPID_ERROR(sts);
s2 = SAFE_ALLOC(basename_len + sizeof(i));
if (!s2) {
sts = kEpidMemAllocErr;
break;
}
sts = ReadEcPoint(G1, &sig->K, sizeof(sig->K), K);
BREAK_ON_EPID_ERROR(sts);
sts = ReadEcPoint(G1, &(sigrl_entry->b), sizeof(sigrl_entry->b), rlB);
BREAK_ON_EPID_ERROR(sts);
sts = ReadEcPoint(G1, &(sigrl_entry->k), sizeof(sigrl_entry->k), rlK);
BREAK_ON_EPID_ERROR(sts);
// 1. The member chooses random mu from [1, p-1].
sts = FfGetRandom(Fp, &kOne, rnd_func, rnd_param, mu);
BREAK_ON_EPID_ERROR(sts);
// 2. The member computes nu = -mu mod p.
sts = FfNeg(Fp, mu, nu);
BREAK_ON_EPID_ERROR(sts);
// 3.1. The member computes D = G1.privateExp(B', f)
sts = EpidPrivateExp((MemberCtx*)ctx, rlB, D);
BREAK_ON_EPID_ERROR(sts);
// 3.2.The member computes T = G1.sscmMultiExp(K', mu, D, nu).
sts = WriteFfElement(Fp, mu, &mu_str, sizeof(mu_str));
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, nu, &nu_str, sizeof(nu_str));
BREAK_ON_EPID_ERROR(sts);
{
EcPoint const* points[2];
BigNumStr const* exponents[2];
points[0] = rlK;
points[1] = D;
exponents[0] = &mu_str;
exponents[1] = &nu_str;
sts = EcSscmMultiExp(G1, points, exponents, COUNT_OF(points), t);
BREAK_ON_EPID_ERROR(sts);
sts = WriteEcPoint(G1, t, &commit_out.T, sizeof(commit_out.T));
BREAK_ON_EPID_ERROR(sts);
}
// 4.1. The member chooses rmu randomly from[1, p - 1].
sts = FfGetRandom(Fp, &kOne, rnd_func, rnd_param, rmu);
BREAK_ON_EPID_ERROR(sts);
// 4.2. (KTPM, LTPM, ETPM, counterTPM) = TPM2_Commit(P1 = B', P2 = B)
sts = EcHash(G1, basename, basename_len, ctx->hash_alg, B, &i);
BREAK_ON_EPID_ERROR(sts);
*(uint32_t*)s2 = ntohl(i);
sts = WriteEcPoint(G1, B, &B_str, sizeof(B_str));
BREAK_ON_EPID_ERROR(sts);
sts = ReadFfElement(Fq, &B_str.y, sizeof(B_str.y), y2);
BREAK_ON_EPID_ERROR(sts);
if (0 != memcpy_S(s2 + sizeof(i), basename_len, basename, basename_len)) {
sts = kEpidErr;
break;
}
sts = Tpm2Commit(ctx->tpm2_ctx, rlB, s2, basename_len + sizeof(i), y2,
k_tpm, l_tpm, e_tpm, &rnu_ctr);
BREAK_ON_EPID_ERROR(sts);
// 5.1. The member computes R1 = G1.sscmExp(K, rmu).
sts = WriteFfElement(Fp, rmu, &rmu_str, sizeof(rmu_str));
BREAK_ON_EPID_ERROR(sts);
sts = EcSscmExp(G1, K, &rmu_str, t);
BREAK_ON_EPID_ERROR(sts);
// 5.2. The member computes R1 = G1.mul(R1, LTPM).
sts = EcMul(G1, t, l_tpm, t);
BREAK_ON_EPID_ERROR(sts);
sts = WriteEcPoint(G1, t, &commit_out.R1, sizeof(commit_out.R1));
BREAK_ON_EPID_ERROR(sts);
// 6.1. The member computes R2 = G1.sscmExp(K', rmu).
sts = EcSscmExp(G1, rlK, &rmu_str, t);
BREAK_ON_EPID_ERROR(sts);
// 6.2. The member computes R2 = G1.mul(R2, ETPM).
sts = EcMul(G1, t, e_tpm, t);
BREAK_ON_EPID_ERROR(sts);
sts = WriteEcPoint(G1, t, &commit_out.R2, sizeof(commit_out.R2));
BREAK_ON_EPID_ERROR(sts);
sts = HashNrProveCommitment(Fp, ctx->hash_alg, &sig->B, &sig->K,
sigrl_entry, &commit_out, msg, msg_len, &c_str);
BREAK_ON_EPID_ERROR(sts);
digest = SAFE_ALLOC(digest_len);
if (!digest) {
sts = kEpidMemAllocErr;
break;
}
sts = NewFfElement(Fp, &t2);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &c);
BREAK_ON_EPID_ERROR(sts);
sts = ReadFfElement(Fp, &c_str, sizeof(c_str), c);
BREAK_ON_EPID_ERROR(sts);
// 8. The member computes smu = (rmu + c * mu) mod p.
sts = FfMul(Fp, c, mu, t2);
BREAK_ON_EPID_ERROR(sts);
sts = FfAdd(Fp, rmu, t2, t2);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, t2, &proof->smu, sizeof(proof->smu));
BREAK_ON_EPID_ERROR(sts);
// 9.1. The member computes c' = (c * nu) mod p
sts = FfMul(Fp, c, nu, t2);
BREAK_ON_EPID_ERROR(sts);
// 9.2. snu = TPM2_Sign(c = c', counterTPM)
sts = WriteFfElement(Fp, t2, digest, digest_len);
BREAK_ON_EPID_ERROR(sts);
sts = Tpm2Sign(ctx->tpm2_ctx, digest, digest_len, rnu_ctr, NULL, t2);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, t2, &proof->snu, sizeof(proof->snu));
BREAK_ON_EPID_ERROR(sts);
// 10. The member outputs sigma = (T, c, smu, snu), a non-revoked
// proof. If G1.is_identity(T) = true, the member also outputs
// "failed".
proof->T = commit_out.T;
proof->c = c_str;
if (IsIdentity(&proof->T)) {
sts = kEpidSigRevokedInSigRl;
BREAK_ON_EPID_ERROR(sts);
}
sts = kEpidNoErr;
} while (0);
SAFE_FREE(s2);
EpidZeroMemory(&mu_str, sizeof(mu_str));
EpidZeroMemory(&nu_str, sizeof(nu_str));
EpidZeroMemory(&rmu_str, sizeof(rmu_str));
DeleteFfElement(&y2);
DeleteEcPoint(&B);
DeleteEcPoint(&K);
DeleteEcPoint(&rlB);
DeleteEcPoint(&rlK);
DeleteEcPoint(&D);
DeleteEcPoint(&t);
DeleteEcPoint(&e_tpm);
DeleteEcPoint(&l_tpm);
DeleteEcPoint(&k_tpm);
DeleteFfElement(&mu);
DeleteFfElement(&nu);
DeleteFfElement(&rmu);
DeleteFfElement(&t2);
DeleteFfElement(&c);
SAFE_FREE(digest);
return sts;
}