/*############################################################################
# Copyright 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.
############################################################################*/
/// Sensitive pre-computed signature implementation
/*! \file */
#include <epid/member/api.h>
#include <string.h>
#include "epid/common/math/ecgroup.h"
#include "epid/common/math/finitefield.h"
#include "epid/common/src/endian_convert.h"
#include "epid/common/src/epid2params.h"
#include "epid/common/src/memory.h"
#include "epid/common/src/stack.h"
#include "epid/member/src/context.h"
#include "epid/member/tpm2/commit.h"
#include "epid/member/tpm2/context.h"
#include "epid/member/tpm2/getrandom.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 EpidStatus MemberComputePreSig(MemberCtx const* ctx,
PreComputedSignature* precompsig);
EpidStatus EpidAddPreSigs(MemberCtx* ctx, size_t number_presigs) {
PreComputedSignature* new_presigs = NULL;
size_t i = 0;
if (!ctx || !ctx->presigs) return kEpidBadArgErr;
if (0 == number_presigs) return kEpidNoErr;
new_presigs =
(PreComputedSignature*)StackPushN(ctx->presigs, number_presigs, NULL);
if (!new_presigs) return kEpidMemAllocErr;
for (i = 0; i < number_presigs; i++) {
EpidStatus sts = MemberComputePreSig(ctx, &new_presigs[i]);
if (kEpidNoErr != sts) {
// roll back pre-computed-signature pool
StackPopN(ctx->presigs, number_presigs, 0);
return sts;
}
}
return kEpidNoErr;
}
size_t EpidGetNumPreSigs(MemberCtx const* ctx) {
return (ctx && ctx->presigs) ? StackGetSize(ctx->presigs) : (size_t)0;
}
EpidStatus MemberGetPreSig(MemberCtx* ctx, PreComputedSignature* presig) {
if (!ctx || !presig) {
return kEpidBadArgErr;
}
if (StackGetSize(ctx->presigs)) {
// Use existing pre-computed signature
if (!StackPopN(ctx->presigs, 1, presig)) {
return kEpidErr;
}
return kEpidNoErr;
}
// generate a new pre-computed signature
return MemberComputePreSig(ctx, presig);
}
/// Performs Pre-computation that can be used to speed up signing
EpidStatus MemberComputePreSig(MemberCtx const* ctx,
PreComputedSignature* precompsig) {
EpidStatus sts = kEpidErr;
EcPoint* B = NULL;
EcPoint* k = NULL;
EcPoint* t = NULL; // temporary, used for K, T, R1
EcPoint* e = NULL;
FfElement* R2 = NULL;
FfElement* a = NULL;
FfElement* rx = NULL; // reused for rf
FfElement* rb = NULL; // reused for ra
FfElement* t1 = NULL;
FfElement* t2 = NULL;
BigNumStr t1_str = {0};
BigNumStr t2_str = {0};
struct {
uint32_t i;
BigNumStr bsn;
} p2x = {0};
FfElement* p2y = NULL;
if (!ctx || !precompsig || !ctx->epid2_params) {
return kEpidBadArgErr;
}
do {
// handy shorthands:
Tpm2Ctx* tpm = ctx->tpm2_ctx;
EcGroup* G1 = ctx->epid2_params->G1;
FiniteField* GT = ctx->epid2_params->GT;
FiniteField* Fp = ctx->epid2_params->Fp;
FiniteField* Fq = ctx->epid2_params->Fq;
EcPoint const* h2 = ctx->h2;
EcPoint const* A = ctx->A;
FfElement const* x = ctx->x;
PairingState* ps_ctx = ctx->epid2_params->pairing_state;
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};
// 1. The member expects the pre-computation is done (e12, e22, e2w,
// ea2). Refer to Section 3.5 for the computation of these
// values.
sts = NewFfElement(Fq, &p2y);
// The following variables B, K, T, R1 (elements of G1), R2
// (elements of GT), a, b, rx, rf, ra, rb, t1, t2 (256-bit
// integers) are used.
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &B);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &k);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &t);
BREAK_ON_EPID_ERROR(sts);
sts = NewEcPoint(G1, &e);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(GT, &R2);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &a);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &rx);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &rb);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &t1);
BREAK_ON_EPID_ERROR(sts);
sts = NewFfElement(Fp, &t2);
BREAK_ON_EPID_ERROR(sts);
// 3. The member computes B = G1.getRandom().
// 4.a. If bsn is not provided, the member chooses randomly an integer bsn
// from [1, p-1].
sts = Tpm2GetRandom(tpm, sizeof(p2x.bsn) * 8, &p2x.bsn);
BREAK_ON_EPID_ERROR(sts);
precompsig->rnd_bsn = p2x.bsn;
// 4.b. The member computes (B, i2, y2) = G1.tpmHash(bsn).
sts = EcHash(G1, (const void*)&p2x.bsn, sizeof(p2x.bsn), ctx->hash_alg, B,
&p2x.i);
BREAK_ON_EPID_ERROR(sts);
p2x.i = htonl(p2x.i);
sts = WriteEcPoint(G1, B, &precompsig->B, sizeof(precompsig->B));
BREAK_ON_EPID_ERROR(sts);
sts = ReadFfElement(Fq, &precompsig->B.y, sizeof(precompsig->B.y), p2y);
BREAK_ON_EPID_ERROR(sts);
// 4.c. (KTPM, LTPM, ETPM, counterTPM) = TPM2_Commit(P1=h1, (s2, y2) = (i1
// || bsn, y2)), K = KTPM
sts = Tpm2Commit(tpm, ctx->h1, &p2x, sizeof(p2x), p2y, k, t, e,
&precompsig->rf_ctr);
BREAK_ON_EPID_ERROR(sts);
sts = WriteEcPoint(G1, k, &precompsig->K, sizeof(precompsig->K));
BREAK_ON_EPID_ERROR(sts);
// 4.k. The member computes R1 = LTPM.
sts = WriteEcPoint(G1, t, &precompsig->R1, sizeof(precompsig->R1));
BREAK_ON_EPID_ERROR(sts);
// 4.d. The member chooses randomly an integer a from [1, p-1].
sts = FfGetRandom(Fp, &kOne, ctx->rnd_func, ctx->rnd_param, a);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, a, &precompsig->a, sizeof(precompsig->a));
BREAK_ON_EPID_ERROR(sts);
// 4.e. The member computes T = G1.sscmExp(h2, a).
sts = EcExp(G1, h2, (BigNumStr*)&precompsig->a, t);
BREAK_ON_EPID_ERROR(sts);
// 4.k. The member computes T = G1.mul(T, A).
sts = EcMul(G1, t, A, t);
BREAK_ON_EPID_ERROR(sts);
sts = WriteEcPoint(G1, t, &precompsig->T, sizeof(precompsig->T));
BREAK_ON_EPID_ERROR(sts);
// 4.h. The member chooses rx, ra, rb randomly from [1, p-1].
// note : rb are reused as ra
sts = FfGetRandom(Fp, &kOne, ctx->rnd_func, ctx->rnd_param, rx);
BREAK_ON_EPID_ERROR(sts);
sts = FfGetRandom(Fp, &kOne, ctx->rnd_func, ctx->rnd_param, rb);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, rx, &precompsig->rx, sizeof(precompsig->rx));
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, rb, &precompsig->rb, sizeof(precompsig->rb));
BREAK_ON_EPID_ERROR(sts);
// 4.i. The member computes t1 = (- rx) mod p.
sts = FfNeg(Fp, rx, t1);
BREAK_ON_EPID_ERROR(sts);
// 4.j. The member computes t2 = (rb - a * rx) mod p.
sts = FfMul(Fp, a, rx, t2);
BREAK_ON_EPID_ERROR(sts);
sts = FfNeg(Fp, t2, t2);
BREAK_ON_EPID_ERROR(sts);
sts = FfAdd(Fp, rb, t2, t2);
BREAK_ON_EPID_ERROR(sts);
// 4.g. The member computes b = (a * x) mod p.
sts = FfMul(Fp, a, x, a);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, a, &precompsig->b, sizeof(precompsig->b));
BREAK_ON_EPID_ERROR(sts);
// reusing rb as ra
sts = FfGetRandom(Fp, &kOne, ctx->rnd_func, ctx->rnd_param, rb);
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, rb, &precompsig->ra, sizeof(precompsig->ra));
BREAK_ON_EPID_ERROR(sts);
// 4.l.i e12rf = pairing(ETPM, g2)
sts = Pairing(ps_ctx, e, ctx->epid2_params->g2, R2);
BREAK_ON_EPID_ERROR(sts);
// 4.l.ii. The member computes R2 = GT.sscmMultiExp(ea2, t1, e12rf, 1,
// e22, t2, e2w, ra).
sts = WriteFfElement(Fp, t1, &t1_str, sizeof(t1_str));
BREAK_ON_EPID_ERROR(sts);
sts = WriteFfElement(Fp, t2, &t2_str, sizeof(t2_str));
BREAK_ON_EPID_ERROR(sts);
{
FfElement const* points[4];
BigNumStr const* exponents[4];
points[0] = ctx->ea2;
points[1] = R2;
points[2] = ctx->e22;
points[3] = ctx->e2w;
exponents[0] = &t1_str;
exponents[1] = &kOne;
exponents[2] = &t2_str;
exponents[3] = (BigNumStr*)&precompsig->ra;
sts = FfMultiExp(GT, points, exponents, COUNT_OF(points), R2);
BREAK_ON_EPID_ERROR(sts);
}
sts = WriteFfElement(GT, R2, &precompsig->R2, sizeof(precompsig->R2));
BREAK_ON_EPID_ERROR(sts);
sts = kEpidNoErr;
} while (0);
if (sts != kEpidNoErr) {
(void)Tpm2ReleaseCounter(ctx->tpm2_ctx, precompsig->rf_ctr);
}
EpidZeroMemory(&t1_str, sizeof(t1_str));
EpidZeroMemory(&t2_str, sizeof(t2_str));
EpidZeroMemory(&p2x, sizeof(p2x));
DeleteFfElement(&p2y);
DeleteEcPoint(&B);
DeleteEcPoint(&k);
DeleteEcPoint(&t);
DeleteEcPoint(&e);
DeleteFfElement(&R2);
DeleteFfElement(&a);
DeleteFfElement(&rx);
DeleteFfElement(&rb);
DeleteFfElement(&t1);
DeleteFfElement(&t2);
return sts;
}