epid/common/math/unittests/tatepairing-test.cc - platform/external/epid-sdk - Git at Google

 /*############################################################################
   # 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.
   ############################################################################*/

 /*!
  * \file
  * \brief Intel(R) EPID 1.1 Pairing unit tests.
  */

 #include <cstring>

 #include "epid/common-testhelper/epid_gtest-testhelper.h"
 #include "gtest/gtest.h"

 #include "epid/common-testhelper/1.1/epid_params-testhelper.h"
 #include "epid/common-testhelper/errors-testhelper.h"
 #include "epid/common-testhelper/ffelement_wrapper-testhelper.h"

 extern "C" {
 #include "epid/common/math/tatepairing.h"
 }

 /// compares Epid11GtElemStr values
 bool operator==(Epid11GtElemStr const& lhs, Epid11GtElemStr const& rhs) {
   return 0 == std::memcmp(&lhs, &rhs, sizeof(lhs));
 }

 namespace {

 class Epid11PairingTest : public ::testing::Test {
  public:
   virtual void SetUp() { params = new Epid11ParamsObj(); }
   virtual void TearDown() { delete params; }

   static const Epid11G1ElemStr kGaElemStr;
   static const Epid11G2ElemStr kGbElemStr;
   Epid11ParamsObj* params;
 };

 const Epid11G1ElemStr Epid11PairingTest::kGaElemStr = {
     0x02, 0x5A, 0xC4, 0xC5, 0xCD, 0x7D, 0xAA, 0xFD, 0x26, 0xE5, 0x0B,
     0xA9, 0xB4, 0xE1, 0x72, 0xA1, 0x65, 0x2D, 0x84, 0xAD, 0x34, 0x34,
     0xF8, 0x62, 0x98, 0x6A, 0x15, 0xBE, 0xEA, 0xE3, 0xCC, 0x56, 0x05,
     0x70, 0x5F, 0x4F, 0x11, 0xAF, 0x45, 0xCF, 0x04, 0x1B, 0x96, 0xAD,
     0xEB, 0x26, 0xEE, 0x95, 0x65, 0x4B, 0xD3, 0xD6, 0x5C, 0x13, 0x76,
     0xB7, 0x7A, 0xA1, 0xC6, 0xDA, 0xED, 0x5A, 0x40, 0xCE};

 const Epid11G2ElemStr Epid11PairingTest::kGbElemStr = {
     0x02, 0x10, 0x9A, 0xF4, 0x06, 0x32, 0x30, 0x89, 0xCB, 0x95, 0xE9, 0x55,
     0x0E, 0x9D, 0xAF, 0x0E, 0x98, 0xCD, 0xCA, 0xDC, 0xB1, 0xFF, 0xFC, 0xD1,
     0x45, 0x66, 0xBB, 0x86, 0x46, 0x1E, 0x8C, 0x30, 0x04, 0x78, 0x53, 0xE1,
     0x3F, 0x96, 0xC5, 0xE4, 0x15, 0x23, 0x7B, 0x1F, 0x3F, 0x2C, 0xD3, 0x95,
     0x40, 0xBC, 0x7A, 0x31, 0x1F, 0x14, 0x38, 0x9E, 0x1A, 0xA5, 0xD6, 0x63,
     0x10, 0x91, 0xE4, 0xD3, 0x00, 0xB4, 0x02, 0xBC, 0x47, 0xFA, 0xA6, 0x29,
     0x82, 0x0B, 0xB1, 0xD5, 0xFF, 0xF2, 0xE6, 0xB0, 0xC6, 0xAE, 0xE8, 0x7B,
     0x91, 0xD9, 0xEE, 0x66, 0x07, 0x1F, 0xFD, 0xA2, 0xE7, 0x02, 0x66, 0xDD,
     0x05, 0x2E, 0xF8, 0xC6, 0xC1, 0x6A, 0xEF, 0x3C, 0xC1, 0x95, 0xF6, 0x26,
     0xCE, 0x5E, 0x55, 0xD1, 0x64, 0x13, 0x28, 0xB1, 0x18, 0x57, 0xD8, 0x1B,
     0x84, 0xFA, 0xEC, 0x7E, 0x5D, 0x99, 0x06, 0x49, 0x05, 0x73, 0x35, 0xA9,
     0xA7, 0xF2, 0xA1, 0x92, 0x5F, 0x3E, 0x7C, 0xDF, 0xAC, 0xFE, 0x0F, 0xF5,
     0x08, 0xD0, 0x3C, 0xAE, 0xCD, 0x58, 0x00, 0x5F, 0xD0, 0x84, 0x7E, 0xEA,
     0x63, 0x57, 0xFE, 0xC6, 0x01, 0x56, 0xDA, 0xF3, 0x72, 0x61, 0xDA, 0xC6,
     0x93, 0xB0, 0xAC, 0xEF, 0xAA, 0xD4, 0x51, 0x6D, 0xCA, 0x71, 0x1E, 0x06,
     0x73, 0xEA, 0x83, 0xB2, 0xB1, 0x99, 0x4A, 0x4D, 0x4A, 0x0D, 0x35, 0x07};

 ///////////////////////////////////////////////////////////////////////
 // NewEpid11PairingState / DeleteEpid11PairingState

 // test that delete works in a "normal" valid case.
 TEST_F(Epid11PairingTest, DeleteWorksGivenNewlyCreatedPairingState) {
   Epid11PairingState* ps = nullptr;
   THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
                                          this->params->GT, &ps));
   EXPECT_NO_THROW(DeleteEpid11PairingState(&ps));
 }

 // test that delete works if there is nothing to do
 TEST_F(Epid11PairingTest, DeleteWorksGivenNullPointer) {
   EXPECT_NO_THROW(DeleteEpid11PairingState(nullptr));
   Epid11PairingState* ps = nullptr;
   EXPECT_NO_THROW(DeleteEpid11PairingState(&ps));
 }

 // test that new succeeds with valid parameters
 TEST_F(Epid11PairingTest, NewSucceedsGivenValidParameters) {
   Epid11PairingState* ps = nullptr;
   EXPECT_EQ(kEpidNoErr,
             NewEpid11PairingState(this->params->G1, this->params->G2,
                                   this->params->GT, &ps));
   DeleteEpid11PairingState(&ps);
 }

 // test that new fails if any options are NULL
 TEST_F(Epid11PairingTest, NewFailsGivenNullParameters) {
   Epid11PairingState* ps = nullptr;
   EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(nullptr, this->params->G2,
                                                   this->params->GT, &ps));
   DeleteEpid11PairingState(&ps);
   EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(this->params->G1, nullptr,
                                                   this->params->GT, &ps));
   DeleteEpid11PairingState(&ps);
   EXPECT_EQ(
       kEpidBadArgErr,
       NewEpid11PairingState(this->params->G1, this->params->G2, nullptr, &ps));
   DeleteEpid11PairingState(&ps);
   EXPECT_EQ(kEpidBadArgErr,
             NewEpid11PairingState(this->params->G1, this->params->G2,
                                   this->params->GT, nullptr));
 }

 // test that new checks that G1 is valid
 TEST_F(Epid11PairingTest, NewFailsGivenInvalidG1) {
   Epid11PairingState* ps = nullptr;
   EXPECT_EQ(kEpidBadArgErr,
             NewEpid11PairingState(this->params->G2, this->params->G2,
                                   this->params->GT, &ps));
   DeleteEpid11PairingState(&ps);
 }

 // test that new checks that G2 is valid
 TEST_F(Epid11PairingTest, NewFailsGivenInvalidG2) {
   Epid11PairingState* ps = nullptr;
   EXPECT_EQ(kEpidBadArgErr,
             NewEpid11PairingState(this->params->G1, this->params->G1,
                                   this->params->GT, &ps));
   DeleteEpid11PairingState(&ps);
 }

 // test that new checks that GT is valid
 TEST_F(Epid11PairingTest, NewFailsGivenInvalidGT) {
   FiniteFieldObj GFp;
   Epid11PairingState* ps = nullptr;
   EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(this->params->G1,
                                                   this->params->G2, GFp, &ps));
   DeleteEpid11PairingState(&ps);
 }
 ///////////////////////////////////////////////////////////////////////
 // Pairing
 TEST_F(Epid11PairingTest, PairingWorksFromG1AndG2ToGt) {
   Epid11GtElemStr r_expected_str = {
       0x02, 0xE1, 0x84, 0x16, 0x53, 0x10, 0x0E, 0xEC, 0xFB, 0xDE, 0xF3, 0x5E,
       0x2E, 0x26, 0xEE, 0x45, 0x0C, 0xD7, 0x97, 0xA7, 0x35, 0x43, 0x08, 0x5E,
       0x03, 0xB9, 0xFE, 0x91, 0x8A, 0x02, 0x14, 0xB4, 0x07, 0x7F, 0x8A, 0x5E,
       0xFD, 0xE1, 0x83, 0xC9, 0xCE, 0x1C, 0xC9, 0xF1, 0xCC, 0xB0, 0x52, 0x81,
       0xAD, 0x80, 0x2D, 0x13, 0x1C, 0x32, 0xEC, 0xAF, 0xA0, 0x8B, 0x66, 0x05,
       0x0A, 0x89, 0x26, 0xAD, 0x06, 0x75, 0x3B, 0x3B, 0xE5, 0xFB, 0x62, 0x20,
       0xA8, 0xC3, 0x91, 0xC6, 0x26, 0xC6, 0x58, 0x71, 0xB1, 0x85, 0x06, 0xBD,
       0xAE, 0x06, 0x51, 0xF9, 0x86, 0x2A, 0xC1, 0x5A, 0x11, 0xBA, 0x17, 0xE1,
       0x01, 0x4B, 0x22, 0x66, 0xEB, 0xCF, 0x7E, 0x2B, 0xE7, 0x0A, 0xF2, 0x77,
       0x1C, 0xE6, 0x48, 0x8F, 0x3E, 0xD8, 0x7D, 0x71, 0xF1, 0x78, 0x4C, 0x80,
       0x93, 0xF8, 0x08, 0xB7, 0xCB, 0xAF, 0x04, 0xDF, 0x04, 0x5C, 0x19, 0x3C,
       0xD3, 0x29, 0x11, 0xE7, 0xC5, 0x58, 0x68, 0xEA, 0x65, 0xBB, 0x48, 0x5F,
       0x3A, 0x62, 0xD9, 0x62, 0x40, 0x57, 0x53, 0x19, 0x9B, 0xB5, 0x6C, 0x52,
       0x0C, 0x33, 0x27, 0x14, 0x06, 0x6A, 0xAD, 0xB0, 0x38, 0x41, 0xD0, 0xA5,
       0x37, 0x54, 0xC5, 0x3E, 0x3B, 0x5F, 0x1A, 0xAF, 0x75, 0x8F, 0xCA, 0x42,
       0xB9, 0xA6, 0x1E, 0x18, 0xB2, 0x6B, 0x31, 0x7D, 0x5C, 0xC6, 0xE8, 0xDC};

   Epid11GtElemStr r_str = {0};

   FfElementObj r(&this->params->GT);
   EcPointObj ga_elem(&this->params->G1, this->kGaElemStr);
   EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

   Epid11PairingState* ps = nullptr;
   THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
                                          this->params->GT, &ps));
   EXPECT_EQ(kEpidNoErr, Epid11Pairing(ps, ga_elem, gb_elem, r));
   DeleteEpid11PairingState(&ps);

   THROW_ON_EPIDERR(WriteFfElement(this->params->GT, r, &r_str, sizeof(r_str)));
   EXPECT_EQ(r_expected_str, r_str);
 }

 TEST_F(Epid11PairingTest, PairingGivenPointAtInfinityReturns1) {
   Epid11GtElemStr r_expected_str = {0};
   r_expected_str.a[0].a[0].data.data[31] = 1;

   Epid11GtElemStr r_str = {0};

   FfElementObj r(&this->params->GT);
   EcPointObj ga_elem(&this->params->G1);
   EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

   Epid11PairingState* ps = nullptr;
   THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
                                          this->params->GT, &ps));
   EXPECT_EQ(kEpidNoErr, Epid11Pairing(ps, ga_elem, gb_elem, r));
   DeleteEpid11PairingState(&ps);

   THROW_ON_EPIDERR(WriteFfElement(this->params->GT, r, &r_str, sizeof(r_str)));
   EXPECT_EQ(r_expected_str, r_str);
 }

 TEST_F(Epid11PairingTest, PairingFailsOnPointMissmatch) {
   FfElementObj r(&this->params->GT);

   EcPointObj ga_elem(&this->params->G1, this->kGaElemStr);
   EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

   Epid11PairingState* ps = nullptr;
   THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
                                          this->params->GT, &ps));
   EXPECT_EQ(kEpidBadArgErr, Epid11Pairing(ps, gb_elem, ga_elem, r));
   DeleteEpid11PairingState(&ps);
 }

 TEST_F(Epid11PairingTest, PairingFailsOnInvalidPointInG1) {
   FfElementObj r(&this->params->GT);

   EcPointObj ga_elem(&this->params->G3);
   EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

   Epid11PairingState* ps = nullptr;
   THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
                                          this->params->GT, &ps));
   EXPECT_EQ(kEpidBadArgErr, Epid11Pairing(ps, gb_elem, ga_elem, r));
   DeleteEpid11PairingState(&ps);
 }

 }  // namespace
	/*############################################################################
	# 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.
	############################################################################*/

	/*!
	* \file
	* \brief Intel(R) EPID 1.1 Pairing unit tests.
	*/

	#include <cstring>

	#include "epid/common-testhelper/epid_gtest-testhelper.h"
	#include "gtest/gtest.h"

	#include "epid/common-testhelper/1.1/epid_params-testhelper.h"
	#include "epid/common-testhelper/errors-testhelper.h"
	#include "epid/common-testhelper/ffelement_wrapper-testhelper.h"

	extern "C" {
	#include "epid/common/math/tatepairing.h"
	}

	/// compares Epid11GtElemStr values
	bool operator==(Epid11GtElemStr const& lhs, Epid11GtElemStr const& rhs) {
	return 0 == std::memcmp(&lhs, &rhs, sizeof(lhs));
	}

	namespace {

	class Epid11PairingTest : public ::testing::Test {
	public:
	virtual void SetUp() { params = new Epid11ParamsObj(); }
	virtual void TearDown() { delete params; }

	static const Epid11G1ElemStr kGaElemStr;
	static const Epid11G2ElemStr kGbElemStr;
	Epid11ParamsObj* params;
	};

	const Epid11G1ElemStr Epid11PairingTest::kGaElemStr = {
	0x02, 0x5A, 0xC4, 0xC5, 0xCD, 0x7D, 0xAA, 0xFD, 0x26, 0xE5, 0x0B,
	0xA9, 0xB4, 0xE1, 0x72, 0xA1, 0x65, 0x2D, 0x84, 0xAD, 0x34, 0x34,
	0xF8, 0x62, 0x98, 0x6A, 0x15, 0xBE, 0xEA, 0xE3, 0xCC, 0x56, 0x05,
	0x70, 0x5F, 0x4F, 0x11, 0xAF, 0x45, 0xCF, 0x04, 0x1B, 0x96, 0xAD,
	0xEB, 0x26, 0xEE, 0x95, 0x65, 0x4B, 0xD3, 0xD6, 0x5C, 0x13, 0x76,
	0xB7, 0x7A, 0xA1, 0xC6, 0xDA, 0xED, 0x5A, 0x40, 0xCE};

	const Epid11G2ElemStr Epid11PairingTest::kGbElemStr = {
	0x02, 0x10, 0x9A, 0xF4, 0x06, 0x32, 0x30, 0x89, 0xCB, 0x95, 0xE9, 0x55,
	0x0E, 0x9D, 0xAF, 0x0E, 0x98, 0xCD, 0xCA, 0xDC, 0xB1, 0xFF, 0xFC, 0xD1,
	0x45, 0x66, 0xBB, 0x86, 0x46, 0x1E, 0x8C, 0x30, 0x04, 0x78, 0x53, 0xE1,
	0x3F, 0x96, 0xC5, 0xE4, 0x15, 0x23, 0x7B, 0x1F, 0x3F, 0x2C, 0xD3, 0x95,
	0x40, 0xBC, 0x7A, 0x31, 0x1F, 0x14, 0x38, 0x9E, 0x1A, 0xA5, 0xD6, 0x63,
	0x10, 0x91, 0xE4, 0xD3, 0x00, 0xB4, 0x02, 0xBC, 0x47, 0xFA, 0xA6, 0x29,
	0x82, 0x0B, 0xB1, 0xD5, 0xFF, 0xF2, 0xE6, 0xB0, 0xC6, 0xAE, 0xE8, 0x7B,
	0x91, 0xD9, 0xEE, 0x66, 0x07, 0x1F, 0xFD, 0xA2, 0xE7, 0x02, 0x66, 0xDD,
	0x05, 0x2E, 0xF8, 0xC6, 0xC1, 0x6A, 0xEF, 0x3C, 0xC1, 0x95, 0xF6, 0x26,
	0xCE, 0x5E, 0x55, 0xD1, 0x64, 0x13, 0x28, 0xB1, 0x18, 0x57, 0xD8, 0x1B,
	0x84, 0xFA, 0xEC, 0x7E, 0x5D, 0x99, 0x06, 0x49, 0x05, 0x73, 0x35, 0xA9,
	0xA7, 0xF2, 0xA1, 0x92, 0x5F, 0x3E, 0x7C, 0xDF, 0xAC, 0xFE, 0x0F, 0xF5,
	0x08, 0xD0, 0x3C, 0xAE, 0xCD, 0x58, 0x00, 0x5F, 0xD0, 0x84, 0x7E, 0xEA,
	0x63, 0x57, 0xFE, 0xC6, 0x01, 0x56, 0xDA, 0xF3, 0x72, 0x61, 0xDA, 0xC6,
	0x93, 0xB0, 0xAC, 0xEF, 0xAA, 0xD4, 0x51, 0x6D, 0xCA, 0x71, 0x1E, 0x06,
	0x73, 0xEA, 0x83, 0xB2, 0xB1, 0x99, 0x4A, 0x4D, 0x4A, 0x0D, 0x35, 0x07};

	///////////////////////////////////////////////////////////////////////
	// NewEpid11PairingState / DeleteEpid11PairingState

	// test that delete works in a "normal" valid case.
	TEST_F(Epid11PairingTest, DeleteWorksGivenNewlyCreatedPairingState) {
	Epid11PairingState* ps = nullptr;
	THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	EXPECT_NO_THROW(DeleteEpid11PairingState(&ps));
	}

	// test that delete works if there is nothing to do
	TEST_F(Epid11PairingTest, DeleteWorksGivenNullPointer) {
	EXPECT_NO_THROW(DeleteEpid11PairingState(nullptr));
	Epid11PairingState* ps = nullptr;
	EXPECT_NO_THROW(DeleteEpid11PairingState(&ps));
	}

	// test that new succeeds with valid parameters
	TEST_F(Epid11PairingTest, NewSucceedsGivenValidParameters) {
	Epid11PairingState* ps = nullptr;
	EXPECT_EQ(kEpidNoErr,
	NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	DeleteEpid11PairingState(&ps);
	}

	// test that new fails if any options are NULL
	TEST_F(Epid11PairingTest, NewFailsGivenNullParameters) {
	Epid11PairingState* ps = nullptr;
	EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(nullptr, this->params->G2,
	this->params->GT, &ps));
	DeleteEpid11PairingState(&ps);
	EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(this->params->G1, nullptr,
	this->params->GT, &ps));
	DeleteEpid11PairingState(&ps);
	EXPECT_EQ(
	kEpidBadArgErr,
	NewEpid11PairingState(this->params->G1, this->params->G2, nullptr, &ps));
	DeleteEpid11PairingState(&ps);
	EXPECT_EQ(kEpidBadArgErr,
	NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, nullptr));
	}

	// test that new checks that G1 is valid
	TEST_F(Epid11PairingTest, NewFailsGivenInvalidG1) {
	Epid11PairingState* ps = nullptr;
	EXPECT_EQ(kEpidBadArgErr,
	NewEpid11PairingState(this->params->G2, this->params->G2,
	this->params->GT, &ps));
	DeleteEpid11PairingState(&ps);
	}

	// test that new checks that G2 is valid
	TEST_F(Epid11PairingTest, NewFailsGivenInvalidG2) {
	Epid11PairingState* ps = nullptr;
	EXPECT_EQ(kEpidBadArgErr,
	NewEpid11PairingState(this->params->G1, this->params->G1,
	this->params->GT, &ps));
	DeleteEpid11PairingState(&ps);
	}

	// test that new checks that GT is valid
	TEST_F(Epid11PairingTest, NewFailsGivenInvalidGT) {
	FiniteFieldObj GFp;
	Epid11PairingState* ps = nullptr;
	EXPECT_EQ(kEpidBadArgErr, NewEpid11PairingState(this->params->G1,
	this->params->G2, GFp, &ps));
	DeleteEpid11PairingState(&ps);
	}
	///////////////////////////////////////////////////////////////////////
	// Pairing
	TEST_F(Epid11PairingTest, PairingWorksFromG1AndG2ToGt) {
	Epid11GtElemStr r_expected_str = {
	0x02, 0xE1, 0x84, 0x16, 0x53, 0x10, 0x0E, 0xEC, 0xFB, 0xDE, 0xF3, 0x5E,
	0x2E, 0x26, 0xEE, 0x45, 0x0C, 0xD7, 0x97, 0xA7, 0x35, 0x43, 0x08, 0x5E,
	0x03, 0xB9, 0xFE, 0x91, 0x8A, 0x02, 0x14, 0xB4, 0x07, 0x7F, 0x8A, 0x5E,
	0xFD, 0xE1, 0x83, 0xC9, 0xCE, 0x1C, 0xC9, 0xF1, 0xCC, 0xB0, 0x52, 0x81,
	0xAD, 0x80, 0x2D, 0x13, 0x1C, 0x32, 0xEC, 0xAF, 0xA0, 0x8B, 0x66, 0x05,
	0x0A, 0x89, 0x26, 0xAD, 0x06, 0x75, 0x3B, 0x3B, 0xE5, 0xFB, 0x62, 0x20,
	0xA8, 0xC3, 0x91, 0xC6, 0x26, 0xC6, 0x58, 0x71, 0xB1, 0x85, 0x06, 0xBD,
	0xAE, 0x06, 0x51, 0xF9, 0x86, 0x2A, 0xC1, 0x5A, 0x11, 0xBA, 0x17, 0xE1,
	0x01, 0x4B, 0x22, 0x66, 0xEB, 0xCF, 0x7E, 0x2B, 0xE7, 0x0A, 0xF2, 0x77,
	0x1C, 0xE6, 0x48, 0x8F, 0x3E, 0xD8, 0x7D, 0x71, 0xF1, 0x78, 0x4C, 0x80,
	0x93, 0xF8, 0x08, 0xB7, 0xCB, 0xAF, 0x04, 0xDF, 0x04, 0x5C, 0x19, 0x3C,
	0xD3, 0x29, 0x11, 0xE7, 0xC5, 0x58, 0x68, 0xEA, 0x65, 0xBB, 0x48, 0x5F,
	0x3A, 0x62, 0xD9, 0x62, 0x40, 0x57, 0x53, 0x19, 0x9B, 0xB5, 0x6C, 0x52,
	0x0C, 0x33, 0x27, 0x14, 0x06, 0x6A, 0xAD, 0xB0, 0x38, 0x41, 0xD0, 0xA5,
	0x37, 0x54, 0xC5, 0x3E, 0x3B, 0x5F, 0x1A, 0xAF, 0x75, 0x8F, 0xCA, 0x42,
	0xB9, 0xA6, 0x1E, 0x18, 0xB2, 0x6B, 0x31, 0x7D, 0x5C, 0xC6, 0xE8, 0xDC};

	Epid11GtElemStr r_str = {0};

	FfElementObj r(&this->params->GT);
	EcPointObj ga_elem(&this->params->G1, this->kGaElemStr);
	EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

	Epid11PairingState* ps = nullptr;
	THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	EXPECT_EQ(kEpidNoErr, Epid11Pairing(ps, ga_elem, gb_elem, r));
	DeleteEpid11PairingState(&ps);

	THROW_ON_EPIDERR(WriteFfElement(this->params->GT, r, &r_str, sizeof(r_str)));
	EXPECT_EQ(r_expected_str, r_str);
	}

	TEST_F(Epid11PairingTest, PairingGivenPointAtInfinityReturns1) {
	Epid11GtElemStr r_expected_str = {0};
	r_expected_str.a[0].a[0].data.data[31] = 1;

	Epid11GtElemStr r_str = {0};

	FfElementObj r(&this->params->GT);
	EcPointObj ga_elem(&this->params->G1);
	EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

	Epid11PairingState* ps = nullptr;
	THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	EXPECT_EQ(kEpidNoErr, Epid11Pairing(ps, ga_elem, gb_elem, r));
	DeleteEpid11PairingState(&ps);

	THROW_ON_EPIDERR(WriteFfElement(this->params->GT, r, &r_str, sizeof(r_str)));
	EXPECT_EQ(r_expected_str, r_str);
	}

	TEST_F(Epid11PairingTest, PairingFailsOnPointMissmatch) {
	FfElementObj r(&this->params->GT);

	EcPointObj ga_elem(&this->params->G1, this->kGaElemStr);
	EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

	Epid11PairingState* ps = nullptr;
	THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	EXPECT_EQ(kEpidBadArgErr, Epid11Pairing(ps, gb_elem, ga_elem, r));
	DeleteEpid11PairingState(&ps);
	}

	TEST_F(Epid11PairingTest, PairingFailsOnInvalidPointInG1) {
	FfElementObj r(&this->params->GT);

	EcPointObj ga_elem(&this->params->G3);
	EcPointObj gb_elem(&this->params->G2, this->kGbElemStr);

	Epid11PairingState* ps = nullptr;
	THROW_ON_EPIDERR(NewEpid11PairingState(this->params->G1, this->params->G2,
	this->params->GT, &ps));
	EXPECT_EQ(kEpidBadArgErr, Epid11Pairing(ps, gb_elem, ga_elem, r));
	DeleteEpid11PairingState(&ps);
	}

	} // namespace