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- /*############################################################################
- # 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.
- ############################################################################*/
- /// Unit tests of large integer implementation.
- /*! \file */
- #include <gtest/gtest.h>
- #include <limits.h> // for CHAR_BIT
- #include <cstring>
- #include <random>
- #include "epid/member/tiny/math/unittests/cmp-testhelper.h"
- #include "epid/member/tiny/math/unittests/onetimepad.h"
- extern "C" {
- #include "epid/member/tiny/math/mathtypes.h"
- #include "epid/member/tiny/math/vli.h"
- }
- namespace {
- ////////////////////////////////////////////////////////////////////////
- // VliAdd
- TEST(TinyVliTest, VliAddWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt expected = {0};
- VeryLargeInt left = {0};
- VeryLargeInt right = {0};
- left.word[0] = 1;
- right.word[0] = 2;
- expected.word[0] = 3;
- VliAdd(&result, &left, &right);
- EXPECT_EQ(expected, result);
- }
- TEST(TinyVliTest, VliAddCalculatesCarry) {
- VeryLargeInt left = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VeryLargeInt right = {{0x1, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1}};
- VeryLargeInt expected = {{0x0, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1}};
- uint32_t expected_carry = 0x1;
- uint32_t carry = 0;
- VeryLargeInt result = {0};
- carry = VliAdd(&result, &left, &right);
- EXPECT_EQ(expected, result);
- EXPECT_EQ(expected_carry, carry);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliMul
- TEST(TinyVliTest, VliMultWorks) {
- VeryLargeIntProduct result = {0};
- VeryLargeIntProduct expected = {0};
- VeryLargeInt left = {0}, right = {0};
- left.word[0] = 2;
- right.word[0] = 2;
- expected.word[0] = 4;
- VliMul(&result, &left, &right);
- EXPECT_EQ(expected, result);
- }
- TEST(TinyVliTest, VliMultWorksWithOverflow) {
- VeryLargeIntProduct result = {0};
- VeryLargeIntProduct expected = {
- {0xfffffffe, 0xfffffffd, 0xfffffffd, 0xfffffffd, 0xfffffffd, 0xfffffffd,
- 0xfffffffd, 0xfffffffd, 0x1, 0x2, 0x2, 0x2, 0x2, 0x2, 0x2, 0x2}};
- VeryLargeInt left = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VeryLargeInt right = {{0x2, 0x2, 0x2, 0x2, 0x2, 0x2, 0x2, 0x2}};
- VliMul(&result, &left, &right);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliRShift
- TEST(TinyVliTest, VliRShiftWorks) {
- VeryLargeInt result = {0}, expected = {0};
- VeryLargeInt in = {0};
- uint32_t shift = 1;
- in.word[0] = 4;
- expected.word[0] = 2;
- VliRShift(&result, &in, shift);
- EXPECT_EQ(expected, result);
- }
- TEST(TinyVliTest, VliRShiftWorksWithOverlap) {
- VeryLargeInt result = {0}, expected = {0};
- VeryLargeInt in = {0};
- uint32_t shift = 4;
- in.word[0] = 0x00000008;
- in.word[1] = 0xffffffff;
- expected.word[0] = 0xf0000000;
- expected.word[1] = 0x0fffffff;
- VliRShift(&result, &in, shift);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliSub
- TEST(TinyVliTest, VliSubWorks) {
- VeryLargeInt result = {0}, expected = {0};
- VeryLargeInt left = {0}, right = {0};
- uint32_t borrow = 0;
- uint32_t expected_borrow = 0;
- left.word[0] = 4;
- right.word[0] = 2;
- expected.word[0] = 2;
- borrow = VliSub(&result, &left, &right);
- EXPECT_EQ(expected, result);
- EXPECT_EQ(expected_borrow, borrow);
- }
- TEST(TinyVliTest, VliSubWorksWithBorrow) {
- VeryLargeInt result = {0};
- VeryLargeInt expected = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VeryLargeInt left = {0}, right = {0};
- uint32_t borrow = 0;
- uint32_t expected_borrow = 1;
- left.word[0] = 2;
- right.word[0] = 3;
- borrow = VliSub(&result, &left, &right);
- EXPECT_EQ(expected, result);
- EXPECT_EQ(expected_borrow, borrow);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliSet
- TEST(TinyVliTest, VliSetWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt in = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VliSet(&result, &in);
- EXPECT_EQ(in, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliClear
- TEST(TinyVliTest, VliClearWorks) {
- VeryLargeInt expected = {0};
- VeryLargeInt in_out = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VliClear(&in_out);
- EXPECT_EQ(expected, in_out);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliIsZero
- TEST(TinyVliTest, VliIsZeroAcceptsZero) {
- int is_zero = 0;
- VeryLargeInt in_zero = {0};
- is_zero = VliIsZero(&in_zero);
- EXPECT_TRUE(is_zero);
- }
- TEST(TinyVliTest, VliIsZeroRejectsNonZero) {
- int is_zero = 0;
- VeryLargeInt in_nonzero = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- is_zero = VliIsZero(&in_nonzero);
- EXPECT_FALSE(is_zero);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliCondSet
- TEST(TinyVliTest, VliCondSetWorksForTrue) {
- VeryLargeInt result = {0};
- VeryLargeInt true_val = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VeryLargeInt false_val = {{0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa,
- 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa}};
- VliCondSet(&result, &true_val, &false_val, 1);
- EXPECT_EQ(true_val, result);
- }
- TEST(TinyVliTest, VliCondSetWorksForFalse) {
- VeryLargeInt result = {0};
- VeryLargeInt true_val = {{0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
- 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff}};
- VeryLargeInt false_val = {{0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa,
- 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa}};
- VliCondSet(&result, &true_val, &false_val, 0);
- EXPECT_EQ(false_val, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliTestBit
- TEST(TinyVliTest, VliTestBitWorks) {
- VeryLargeInt in = {0};
- uint32_t bit_set = 0;
- in.word[0] = 4;
- bit_set = VliTestBit(&in, 1);
- EXPECT_EQ((uint32_t)0, bit_set);
- bit_set = VliTestBit(&in, 2);
- EXPECT_EQ((uint32_t)1, bit_set);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliRand
- TEST(TinyVliTest, VliRandWorks) {
- OneTimePad my_prng;
- VeryLargeInt expected_rand_val1 = {{1, 0, 0, 0, 0, 0, 0, 0}};
- my_prng.InitUint8({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});
- VeryLargeInt rand_val1 = {0};
- EXPECT_TRUE(VliRand(&rand_val1, &OneTimePad::Generate, &my_prng));
- EXPECT_EQ(expected_rand_val1, rand_val1);
- EXPECT_EQ(256u, my_prng.BitsConsumed());
- VeryLargeInt expected_rand_val2 = {{0x1c6f5a0f, 0xeaa878b3, 0xc71dab6b,
- 0x1a101ad6, 0x1fe6394f, 0x1bec36ab,
- 0x07a3e97f, 0x36507914}};
- VeryLargeInt rand_val2 = {0};
- my_prng.InitUint32({0x14795036, 0x7fe9a307, 0xab36ec1b, 0x4f39e61f,
- 0xd61a101a, 0x6bab1dc7, 0xb378a8ea, 0x0f5a6f1c});
- EXPECT_TRUE(VliRand(&rand_val2, &OneTimePad::Generate, &my_prng));
- EXPECT_EQ(expected_rand_val2, rand_val2);
- EXPECT_EQ(256u, my_prng.BitsConsumed());
- }
- ////////////////////////////////////////////////////////////////////////
- // VliCmp
- TEST(TinyVliTest, VliCmpWorksForLessThan) {
- VeryLargeInt in_val1 = {0};
- VeryLargeInt in_val2 = {0};
- int res = 0;
- in_val1.word[0] = 1;
- in_val2.word[0] = 2;
- res = VliCmp(&in_val1, &in_val2);
- EXPECT_EQ(-1, res);
- }
- TEST(TinyVliTest, VliCmpWorksForEqual) {
- VeryLargeInt in_val1 = {0};
- VeryLargeInt in_val2 = {0};
- int res = 0;
- in_val1.word[0] = 2;
- in_val2.word[0] = 2;
- res = VliCmp(&in_val1, &in_val2);
- EXPECT_EQ(0, res);
- }
- TEST(TinyVliTest, VliCmpWorksGreaterThan) {
- VeryLargeInt in_val1 = {0};
- VeryLargeInt in_val2 = {0};
- int res = 0;
- in_val1.word[0] = 1;
- in_val2.word[0] = 2;
- res = VliCmp(&in_val2, &in_val1);
- EXPECT_EQ(1, res);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModAdd
- TEST(TinyVliTest, VliModAddWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt left = {0};
- VeryLargeInt right = {0};
- VeryLargeInt expected = {0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- left.word[0] = 0x9;
- right.word[0] = 0x8;
- expected.word[0] = 0x11;
- VliModAdd(&result, &left, &right, &mod);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModSub
- TEST(TinyVliTest, VliModSubWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt left = {0};
- VeryLargeInt right = {0};
- VeryLargeInt expected = {0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- left.word[0] = 0x18;
- right.word[0] = 0x12;
- expected.word[0] = 0x6;
- VliModSub(&result, &left, &right, &mod);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModMul
- TEST(TinyVliTest, VliModMultWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt left = {0};
- VeryLargeInt right = {0};
- VeryLargeInt expected = {0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- left.word[0] = 0x10;
- right.word[0] = 0x2;
- expected.word[0] = 0x20;
- VliModMul(&result, &left, &right, &mod);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModExp
- TEST(TinyVliTest, VliModExpWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt base = {0};
- VeryLargeInt exp = {0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- VeryLargeInt expected = {0};
- base.word[0] = 0x4;
- exp.word[0] = 0x2;
- expected.word[0] = 0x10;
- VliModExp(&result, &base, &exp, &mod);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModInv
- TEST(TinyVliTest, VliModInvWorks) {
- VeryLargeInt a = {0x76abb18a, 0x92c0f7b9, 0x2c1a37e0, 0x7fdf6ca1,
- 0xe3401760, 0x66eb7d52, 0x918d50a7, 0x12a65bd6};
- VeryLargeInt q = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- VeryLargeInt expected = {0x5a686df6, 0x56b6ab63, 0xdf907c6f, 0x44ad8d51,
- 0xa5513462, 0xc597ef78, 0x93711b39, 0x15171a1e};
- VeryLargeInt result;
- VliModInv(&result, &a, &q);
- EXPECT_EQ(result, expected);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModSquare
- TEST(TinyVliTest, VliModSquareWorks) {
- VeryLargeInt result = {0};
- VeryLargeInt input = {0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- VeryLargeInt expected = {0};
- input.word[0] = 0x4;
- expected.word[0] = 0x10;
- VliModSquare(&result, &input, &mod);
- EXPECT_EQ(expected, result);
- }
- ////////////////////////////////////////////////////////////////////////
- // VliModBarrett
- TEST(TinyVliTest, VliModBarrettWorks) {
- VeryLargeInt result = {0};
- VeryLargeIntProduct product = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF,
- 0x0, 0x0, 0x0, 0x0,
- 0x0, 0x0, 0x0, 0x0};
- VeryLargeInt mod = {0xAED33013, 0xD3292DDB, 0x12980A82, 0x0CDC65FB,
- 0xEE71A49F, 0x46E5F25E, 0xFFFCF0CD, 0xFFFFFFFF};
- VeryLargeInt expected = {0};
- product.word[0] += 0xF;
- expected.word[0] = 0xF;
- VliModBarrett(&result, &product, &mod);
- EXPECT_EQ(expected, result);
- }
- } // namespace
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