linux-sgx-trts-modified/external/epid-sdk-3.0.0/epid/common-testhelper/epid_params-testhelper.cc

/*############################################################################
  # Copyright 2016 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.
  ############################################################################*/

/*!
 * \file
 * \brief Intel(R) EPID parameters C++ wrapper implementation.
 */

#include <cstring>
#include <vector>

#include "epid/common-testhelper/epid_params-testhelper.h"
#include "epid/common-testhelper/errors-testhelper.h"
#include "epid/common-testhelper/ffelement_wrapper-testhelper.h"
#include "epid/common-testhelper/finite_field_wrapper-testhelper.h"

extern "C" {
#include "epid/common/math/src/ecgroup-internal.h"
#include "epid/common/math/src/finitefield-internal.h"
#include "epid/common/math/src/pairing-internal.h"
}

Epid20Params::Epid20Params() {
  // construct Fq finite field
  fq = FiniteFieldObj(q_str_);

  // construct Fq^2 finite field
  FfElementObj neg_beta(&fq);
  THROW_ON_EPIDERR(FfNeg(fq, FfElementObj(&fq, beta_str_), neg_beta));
  fq2 = FiniteFieldObj(fq, neg_beta, 2);

  // construct Fq^6 finite field
  FfElementObj neg_xi(&fq2);
  THROW_ON_EPIDERR(FfNeg(fq2, FfElementObj(&fq2, xi_str_), neg_xi));
  fq6 = FiniteFieldObj(fq2, neg_xi, 3);

  // construct Fq^12 finite field
  FfElementObj neg_v(&fq6);
  THROW_ON_EPIDERR(FfNeg(fq6, FfElementObj(&fq6, v_str_), neg_v));
  GT = FiniteFieldObj(fq6, neg_v, 2);

  const BigNumStr h1 = {
      {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}};

  // Create G1
  // G1 is an elliptic curve group E(Fq).It can be initialized as follows :
  // Set G1 = E(Fq).init(p, q, n = p, h = 1, a = 0, b, g1.x, g1.y).
  G1 = EcGroupObj(&fq, FfElementObj(&fq), FfElementObj(&fq, b_str_),
                  FfElementObj(&fq, g1_str_.x), FfElementObj(&fq, g1_str_.y),
                  BigNumObj(p_str_), BigNumObj(h1));

  // set h = 2q - p, aka cofactor
  std::vector<uint8_t> cofactor_str(
      {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
       0xff, 0xfc, 0xf0, 0xcd, 0x46, 0xe5, 0xf2, 0x5e, 0xee, 0x71, 0xa4, 0xa0,
       0x0c, 0xdc, 0x65, 0xfb, 0x12, 0x96, 0x82, 0xea, 0xb0, 0x25, 0x08, 0x4a,
       0x8c, 0x9b, 0x10, 0x19});
  // set n = p * h, AKA order
  std::vector<uint8_t> order_str(
      {0xff, 0xff, 0xff, 0xff, 0xff, 0xf9, 0xe1, 0x9a, 0x8d, 0xcb, 0xe4, 0xc7,
       0x38, 0xfa, 0x9b, 0x98, 0x4d, 0x1c, 0x12, 0x9f, 0x64, 0x97, 0xe8, 0x54,
       0xa3, 0x0a, 0x81, 0xac, 0x42, 0xf9, 0x39, 0x16, 0xa7, 0x70, 0x21, 0xdc,
       0xfb, 0xb6, 0xe7, 0x7e, 0x1f, 0x5b, 0x55, 0xcc, 0x4e, 0x84, 0xcd, 0x19,
       0x4f, 0x49, 0x20, 0x94, 0xb5, 0xd8, 0x12, 0xa0, 0x2e, 0x7f, 0x40, 0x13,
       0xb2, 0xfa, 0xa1, 0x45});

  // Compute xi' = Fq2.inverse(xi).
  FfElementObj inv_xi(&fq2);
  THROW_ON_EPIDERR(FfInv(fq2, FfElementObj(&fq2, xi_str_), inv_xi));
  // Compute b' = Fq2.mul(xi', b).
  FfElementObj b_dash(&fq2);
  THROW_ON_EPIDERR(FfMul(fq2, inv_xi.get(), FfElementObj(&fq, b_str_), b_dash));

  // Set G2 = E(Fq2).init(p, param(Fq2), n, h, 0, b', g2.x, g2.y)
  G2 = EcGroupObj(&fq2, FfElementObj(&fq2), b_dash,
                  FfElementObj(&fq2, &g2_str_.x, sizeof(g2_str_.x)),
                  FfElementObj(&fq2, &g2_str_.y, sizeof(g2_str_.y)),
                  BigNumObj(order_str), BigNumObj(cofactor_str));
}

const BigNumStr Epid20Params::q_str_ = {
    {{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0xF0, 0xCD, 0x46, 0xE5, 0xF2, 0x5E,
      0xEE, 0x71, 0xA4, 0x9F, 0x0C, 0xDC, 0x65, 0xFB, 0x12, 0x98, 0x0A, 0x82,
      0xD3, 0x29, 0x2D, 0xDB, 0xAE, 0xD3, 0x30, 0x13}}};
const FqElemStr Epid20Params::beta_str_ = {
    {{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0xF0, 0xCD, 0x46, 0xE5, 0xF2, 0x5E,
      0xEE, 0x71, 0xA4, 0x9F, 0x0C, 0xDC, 0x65, 0xFB, 0x12, 0x98, 0x0A, 0x82,
      0xD3, 0x29, 0x2D, 0xDB, 0xAE, 0xD3, 0x30, 0x12}}};
const Fq6ElemStr Epid20Params::v_str_ = {
    {{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
       {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
     {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01},
       {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
     {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00},
       {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}}}};

const BigNumStr Epid20Params::p_str_ = {
    {{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0xF0, 0xCD, 0x46, 0xE5, 0xF2, 0x5E,
      0xEE, 0x71, 0xA4, 0x9E, 0x0C, 0xDC, 0x65, 0xFB, 0x12, 0x99, 0x92, 0x1A,
      0xF6, 0x2D, 0x53, 0x6C, 0xD1, 0x0B, 0x50, 0x0D}}};
const FqElemStr Epid20Params::b_str_ = {
    {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
      0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
      0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03}}};
const FqElemStr Epid20Params::h_str_ = {
    {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
      0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
      0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}};
const G1ElemStr Epid20Params::g1_str_ = {
    {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}},
    {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
       0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02}}}};
const Fq2ElemStr Epid20Params::xi_str_ = {
    {{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02}}},
     {{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}}}};
const G2ElemStr Epid20Params::g2_str_ = {
    {{{{0xE2, 0x01, 0x71, 0xC5, 0x4A, 0xA3, 0xDA, 0x05, 0x21, 0x67, 0x04, 0x13,
        0x74, 0x3C, 0xCF, 0x22, 0xD2, 0x5D, 0x52, 0x68, 0x3D, 0x32, 0x47, 0x0E,
        0xF6, 0x02, 0x13, 0x43, 0xBF, 0x28, 0x23, 0x94}}},
     {{{0x59, 0x2D, 0x1E, 0xF6, 0x53, 0xA8, 0x5A, 0x80, 0x46, 0xCC, 0xDC, 0x25,
        0x4F, 0xBB, 0x56, 0x56, 0x43, 0x43, 0x3B, 0xF6, 0x28, 0x96, 0x53, 0xE2,
        0x7D, 0xF7, 0xB2, 0x12, 0xBA, 0xA1, 0x89, 0xBE}}}},
    {{{{0xAE, 0x60, 0xA4, 0xE7, 0x51, 0xFF, 0xD3, 0x50, 0xC6, 0x21, 0xE7, 0x03,
        0x31, 0x28, 0x26, 0xBD, 0x55, 0xE8, 0xB5, 0x9A, 0x4D, 0x91, 0x68, 0x38,
        0x41, 0x4D, 0xB8, 0x22, 0xDD, 0x23, 0x35, 0xAE}}},
     {{{0x1A, 0xB4, 0x42, 0xF9, 0x89, 0xAF, 0xE5, 0xAD, 0xF8, 0x02, 0x74, 0xF8,
        0x76, 0x45, 0xE2, 0x53, 0x2C, 0xDC, 0x61, 0x81, 0x90, 0x93, 0xD6, 0x13,
        0x2C, 0x90, 0xFE, 0x89, 0x51, 0xB9, 0x24, 0x21}}}}};