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15532df83d
Rather than the very C-like API we currently have, accepting a void* and a length, let's take a Bytes object instead. In almost all existing cases, the compiler figures out the length.
1037 lines
43 KiB
C++
1037 lines
43 KiB
C++
/*
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* Copyright (c) 2021, Peter Bocan <me@pbocan.net>
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*
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* SPDX-License-Identifier: BSD-2-Clause
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*/
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#include <LibCrypto/BigInt/Algorithms/UnsignedBigIntegerAlgorithms.h>
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#include <LibCrypto/BigInt/SignedBigInteger.h>
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#include <LibCrypto/BigInt/UnsignedBigInteger.h>
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#include <LibCrypto/NumberTheory/ModularFunctions.h>
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#include <LibTest/TestCase.h>
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#include <math.h>
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static Crypto::UnsignedBigInteger bigint_fibonacci(size_t n)
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{
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Crypto::UnsignedBigInteger num1(0);
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Crypto::UnsignedBigInteger num2(1);
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for (size_t i = 0; i < n; ++i) {
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Crypto::UnsignedBigInteger t = num1.plus(num2);
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num2 = num1;
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num1 = t;
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}
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return num1;
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}
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static Crypto::SignedBigInteger bigint_signed_fibonacci(size_t n)
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{
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Crypto::SignedBigInteger num1(0);
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Crypto::SignedBigInteger num2(1);
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for (size_t i = 0; i < n; ++i) {
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Crypto::SignedBigInteger t = num1.plus(num2);
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num2 = num1;
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num1 = t;
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}
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return num1;
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}
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TEST_CASE(test_bigint_fib500)
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{
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Vector<u32> result {
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315178285, 505575602, 1883328078, 125027121, 3649625763,
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347570207, 74535262, 3832543808, 2472133297, 1600064941, 65273441
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};
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EXPECT_EQ(bigint_fibonacci(500).words(), result);
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}
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TEST_CASE(test_unsigned_bigint_addition_initialization)
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{
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Crypto::UnsignedBigInteger num1;
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Crypto::UnsignedBigInteger num2(70);
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Crypto::UnsignedBigInteger num3 = num1.plus(num2);
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bool pass = (num3 == num2);
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pass &= (num1 == Crypto::UnsignedBigInteger(0));
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EXPECT(pass);
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}
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TEST_CASE(test_unsigned_bigint_addition_borrow_with_zero)
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{
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Crypto::UnsignedBigInteger num1({ UINT32_MAX - 3, UINT32_MAX });
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Crypto::UnsignedBigInteger num2({ UINT32_MAX - 2, 0 });
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Vector<u32> expected_result { 4294967289, 0, 1 };
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EXPECT_EQ(num1.plus(num2).words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_basic_add_to_accumulator)
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{
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Crypto::UnsignedBigInteger num1(10);
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Crypto::UnsignedBigInteger num2(70);
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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EXPECT_EQ(num1.words(), Vector<u32> { 80 });
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}
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TEST_CASE(test_unsigned_bigint_basic_add_to_empty_accumulator)
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{
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Crypto::UnsignedBigInteger num1 {};
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Crypto::UnsignedBigInteger num2(10);
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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EXPECT_EQ(num1.words(), Vector<u32> { 10 });
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}
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TEST_CASE(test_unsigned_bigint_basic_add_to_smaller_accumulator)
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{
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Crypto::UnsignedBigInteger num1(10);
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Crypto::UnsignedBigInteger num2({ 10, 10 });
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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Vector<u32> expected_result { 20, 10 };
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EXPECT_EQ(num1.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_add_to_accumulator_with_multiple_carry_levels)
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{
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Crypto::UnsignedBigInteger num1({ UINT32_MAX - 2, UINT32_MAX });
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Crypto::UnsignedBigInteger num2(5);
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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Vector<u32> expected_result { 2, 0, 1 };
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EXPECT_EQ(num1.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_add_to_accumulator_with_leading_zero)
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{
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Crypto::UnsignedBigInteger num1(1);
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Crypto::UnsignedBigInteger num2({ 1, 0 });
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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EXPECT_EQ(num1.words(), Vector<u32> { 2 });
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}
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TEST_CASE(test_unsigned_bigint_add_to_accumulator_with_carry_and_leading_zero)
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{
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Crypto::UnsignedBigInteger num1({ UINT32_MAX, 0, 0, 0 });
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Crypto::UnsignedBigInteger num2({ 1, 0 });
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Crypto::UnsignedBigIntegerAlgorithms::add_into_accumulator_without_allocation(num1, num2);
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Vector<u32> expected_result { 0, 1, 0, 0 };
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EXPECT_EQ(num1.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_simple_subtraction)
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{
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Crypto::UnsignedBigInteger num1(80);
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Crypto::UnsignedBigInteger num2(70);
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EXPECT_EQ(num1.minus(num2), Crypto::UnsignedBigInteger(10));
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}
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TEST_CASE(test_unsigned_bigint_simple_subtraction_invalid)
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{
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Crypto::UnsignedBigInteger num1(50);
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Crypto::UnsignedBigInteger num2(70);
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EXPECT(num1.minus(num2).is_invalid());
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}
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TEST_CASE(test_unsigned_bigint_simple_subtraction_with_borrow)
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{
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Crypto::UnsignedBigInteger num1(UINT32_MAX);
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Crypto::UnsignedBigInteger num2(1);
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Crypto::UnsignedBigInteger num3 = num1.plus(num2);
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Crypto::UnsignedBigInteger result = num3.minus(num2);
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EXPECT_EQ(result, num1);
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}
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TEST_CASE(test_unsigned_bigint_subtraction_with_large_numbers)
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{
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Crypto::UnsignedBigInteger num1 = bigint_fibonacci(343);
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Crypto::UnsignedBigInteger num2 = bigint_fibonacci(218);
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Crypto::UnsignedBigInteger result = num1.minus(num2);
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Vector<u32> expected_result {
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811430588, 2958904896, 1130908877, 2830569969, 3243275482,
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3047460725, 774025231, 7990
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};
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EXPECT_EQ(result.plus(num2), num1);
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_subtraction_with_large_numbers2)
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{
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Crypto::UnsignedBigInteger num1(Vector<u32> { 1483061863, 446680044, 1123294122, 191895498, 3347106536, 16, 0, 0, 0 });
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Crypto::UnsignedBigInteger num2(Vector<u32> { 4196414175, 1117247942, 1123294122, 191895498, 3347106536, 16 });
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Crypto::UnsignedBigInteger result = num1.minus(num2);
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// this test only verifies that we don't crash on an assertion
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}
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TEST_CASE(test_unsigned_bigint_subtraction_regression_1)
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{
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auto num = Crypto::UnsignedBigInteger { 1 }.shift_left(256);
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Vector<u32> expected_result {
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4294967295, 4294967295, 4294967295, 4294967295, 4294967295,
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4294967295, 4294967295, 4294967295, 0
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};
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EXPECT_EQ(num.minus(1).words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_simple_multiplication)
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{
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Crypto::UnsignedBigInteger num1(8);
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Crypto::UnsignedBigInteger num2(251);
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Crypto::UnsignedBigInteger result = num1.multiplied_by(num2);
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EXPECT_EQ(result.words(), Vector<u32> { 2008 });
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}
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TEST_CASE(test_unsigned_bigint_multiplication_with_big_numbers1)
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{
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Crypto::UnsignedBigInteger num1 = bigint_fibonacci(200);
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Crypto::UnsignedBigInteger num2(12345678);
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Crypto::UnsignedBigInteger result = num1.multiplied_by(num2);
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Vector<u32> expected_result { 669961318, 143970113, 4028714974, 3164551305, 1589380278, 2 };
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_multiplication_with_big_numbers2)
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{
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Crypto::UnsignedBigInteger num1 = bigint_fibonacci(200);
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Crypto::UnsignedBigInteger num2 = bigint_fibonacci(341);
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Crypto::UnsignedBigInteger result = num1.multiplied_by(num2);
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Vector<u32> expected_result {
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3017415433, 2741793511, 1957755698, 3731653885, 3154681877,
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785762127, 3200178098, 4260616581, 529754471, 3632684436,
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1073347813, 2516430
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};
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_simple_division)
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{
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Crypto::UnsignedBigInteger num1(27194);
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Crypto::UnsignedBigInteger num2(251);
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auto result = num1.divided_by(num2);
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Crypto::UnsignedDivisionResult expected = { Crypto::UnsignedBigInteger(108), Crypto::UnsignedBigInteger(86) };
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EXPECT_EQ(result.quotient, expected.quotient);
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EXPECT_EQ(result.remainder, expected.remainder);
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}
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TEST_CASE(test_unsigned_bigint_division_with_big_numbers)
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{
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Crypto::UnsignedBigInteger num1 = bigint_fibonacci(386);
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Crypto::UnsignedBigInteger num2 = bigint_fibonacci(238);
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auto result = num1.divided_by(num2);
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Crypto::UnsignedDivisionResult expected = {
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Crypto::UnsignedBigInteger(Vector<u32> { 2300984486, 2637503534, 2022805584, 107 }),
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Crypto::UnsignedBigInteger(Vector<u32> { 1483061863, 446680044, 1123294122, 191895498, 3347106536, 16, 0, 0, 0 })
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};
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EXPECT_EQ(result.quotient, expected.quotient);
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EXPECT_EQ(result.remainder, expected.remainder);
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}
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TEST_CASE(test_unsigned_bigint_division_combined_test)
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{
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auto num1 = bigint_fibonacci(497);
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auto num2 = bigint_fibonacci(238);
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auto div_result = num1.divided_by(num2);
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EXPECT_EQ(div_result.quotient.multiplied_by(num2).plus(div_result.remainder), num1);
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}
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TEST_CASE(test_unsigned_bigint_base10_from_string)
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{
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auto result = Crypto::UnsignedBigInteger::from_base(10, "57195071295721390579057195715793"sv);
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Vector<u32> expected_result { 3806301393, 954919431, 3879607298, 721 };
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_unsigned_bigint_base10_to_string)
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{
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auto bigint = Crypto::UnsignedBigInteger {
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Vector<u32> { 3806301393, 954919431, 3879607298, 721 }
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};
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auto result = MUST(bigint.to_base(10));
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EXPECT_EQ(result, "57195071295721390579057195715793");
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}
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TEST_CASE(test_bigint_modular_inverse)
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{
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auto result = Crypto::NumberTheory::ModularInverse(7, 87);
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EXPECT_EQ(result, 25);
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}
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TEST_CASE(test_bigint_even_simple_modular_power)
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{
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Crypto::UnsignedBigInteger base { 7 };
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Crypto::UnsignedBigInteger exponent { 2 };
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Crypto::UnsignedBigInteger modulo { 10 };
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auto result = Crypto::NumberTheory::ModularPower(base, exponent, modulo);
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EXPECT_EQ(result.words(), Vector<u32> { 9 });
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}
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TEST_CASE(test_bigint_odd_simple_modular_power)
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{
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Crypto::UnsignedBigInteger base { 10 };
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Crypto::UnsignedBigInteger exponent { 2 };
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Crypto::UnsignedBigInteger modulo { 9 };
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auto result = Crypto::NumberTheory::ModularPower(base, exponent, modulo);
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EXPECT_EQ(result.words(), Vector<u32> { 1 });
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}
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TEST_CASE(test_bigint_large_even_fibonacci_modular_power)
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{
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Crypto::UnsignedBigInteger base = bigint_fibonacci(200);
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Crypto::UnsignedBigInteger exponent = bigint_fibonacci(100);
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Crypto::UnsignedBigInteger modulo = bigint_fibonacci(150);
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// Result according to Wolfram Alpha : 7195284628716783672927396027925
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auto result = Crypto::NumberTheory::ModularPower(base, exponent, modulo);
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Vector<u32> expected_result { 2042093077, 1351416233, 3510104665, 90 };
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_bigint_large_odd_fibonacci_modular_power)
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{
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Crypto::UnsignedBigInteger base = bigint_fibonacci(200);
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Crypto::UnsignedBigInteger exponent = bigint_fibonacci(100);
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Crypto::UnsignedBigInteger modulo = bigint_fibonacci(149);
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// Result according to Wolfram Alpha : 1136278609611966596838389694992
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auto result = Crypto::NumberTheory::ModularPower(base, exponent, modulo);
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Vector<u32> expected_result { 2106049040, 2169509253, 1468244710, 14 };
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_bigint_large_odd_fibonacci_with_carry_modular_power)
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{
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Crypto::UnsignedBigInteger base = bigint_fibonacci(200);
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Crypto::UnsignedBigInteger exponent = bigint_fibonacci(100);
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Crypto::UnsignedBigInteger modulo = bigint_fibonacci(185);
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// Result according to Wolfram Alpha : 55094573983071006678665780782730672080
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auto result = Crypto::NumberTheory::ModularPower(base, exponent, modulo);
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Vector<u32> expected_result { 1988720592, 2097784252, 347129583, 695391288 };
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EXPECT_EQ(result.words(), expected_result);
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}
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TEST_CASE(test_bigint_modular_power_extra_tests)
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{
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struct {
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Crypto::UnsignedBigInteger base;
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Crypto::UnsignedBigInteger exp;
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Crypto::UnsignedBigInteger mod;
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Crypto::UnsignedBigInteger expected;
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} mod_pow_tests[] = {
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{ "2988348162058574136915891421498819466320163312926952423791023078876139"_bigint, "2351399303373464486466122544523690094744975233415544072992656881240319"_bigint, "10000"_bigint, "3059"_bigint },
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{ "24231"_bigint, "12448"_bigint, "14679"_bigint, "4428"_bigint },
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{ "1005404"_bigint, "8352654"_bigint, "8161408"_bigint, "2605696"_bigint },
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{ "3665005778"_bigint, "3244425589"_bigint, "565668506"_bigint, "524766494"_bigint },
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{ "10662083169959689657"_bigint, "11605678468317533000"_bigint, "1896834583057209739"_bigint, "1292743154593945858"_bigint },
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{ "99667739213529524852296932424683448520"_bigint, "123394910770101395416306279070921784207"_bigint, "238026722756504133786938677233768788719"_bigint, "197165477545023317459748215952393063201"_bigint },
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{ "49368547511968178788919424448914214709244872098814465088945281575062739912239"_bigint, "25201856190991298572337188495596990852134236115562183449699512394891190792064"_bigint, "45950460777961491021589776911422805972195170308651734432277141467904883064645"_bigint, "39917885806532796066922509794537889114718612292469285403012781055544152450051"_bigint },
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{ "48399385336454791246880286907257136254351739111892925951016159217090949616810"_bigint, "5758661760571644379364752528081901787573279669668889744323710906207949658569"_bigint, "32812120644405991429173950312949738783216437173380339653152625840449006970808"_bigint, "7948464125034399875323770213514649646309423451213282653637296324080400293584"_bigint },
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};
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for (auto test_case : mod_pow_tests) {
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auto actual = Crypto::NumberTheory::ModularPower(
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test_case.base, test_case.exp, test_case.mod);
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EXPECT_EQ(actual, test_case.expected);
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}
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}
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TEST_CASE(test_bigint_primality_test)
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{
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struct {
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Crypto::UnsignedBigInteger candidate;
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bool expected_result;
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} primality_tests[] = {
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{ "1180591620717411303424"_bigint, false }, // 2**70
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{ "620448401733239439360000"_bigint, false }, // 25!
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{ "953962166440690129601298432"_bigint, false }, // 12**25
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{ "620448401733239439360000"_bigint, false }, // 25!
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{ "147926426347074375"_bigint, false }, // 35! / 2**32
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{ "340282366920938429742726440690708343523"_bigint, false }, // 2 factors near 2^64
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{ "73"_bigint, true },
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{ "6967"_bigint, true },
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{ "787649"_bigint, true },
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{ "73513949"_bigint, true },
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{ "6691236901"_bigint, true },
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{ "741387182759"_bigint, true },
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{ "67466615915827"_bigint, true },
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{ "9554317039214687"_bigint, true },
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{ "533344522150170391"_bigint, true },
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{ "18446744073709551557"_bigint, true }, // just below 2**64
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};
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for (auto test_case : primality_tests) {
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bool actual_result = Crypto::NumberTheory::is_probably_prime(test_case.candidate);
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EXPECT_EQ(test_case.expected_result, actual_result);
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}
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}
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TEST_CASE(test_bigint_random_number_generation)
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{
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struct {
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Crypto::UnsignedBigInteger min;
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Crypto::UnsignedBigInteger max;
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} random_number_tests[] = {
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{ "1"_bigint, "1000000"_bigint },
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{ "10000000000"_bigint, "20000000000"_bigint },
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{ "1000"_bigint, "200000000000000000"_bigint },
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{ "200000000000000000"_bigint, "200000000000010000"_bigint },
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};
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for (auto test_case : random_number_tests) {
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auto actual_result = Crypto::NumberTheory::random_number(test_case.min, test_case.max);
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EXPECT(!(actual_result < test_case.min));
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EXPECT(actual_result < test_case.max);
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}
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}
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TEST_CASE(test_bigint_random_distribution)
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{
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auto actual_result = Crypto::NumberTheory::random_number(
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"1"_bigint,
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"100000000000000000000000000000"_bigint); // 10**29
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if (actual_result < "100000000000000000000"_bigint) { // 10**20
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FAIL("Too small");
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outln("The generated number {} is extremely small. This *can* happen by pure chance, but should happen only once in a billion times. So it's probably an error.", MUST(actual_result.to_base(10)));
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} else if ("99999999900000000000000000000"_bigint < actual_result) { // 10**29 - 10**20
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FAIL("Too large");
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outln("The generated number {} is extremely large. This *can* happen by pure chance, but should happen only once in a billion times. So it's probably an error.", MUST(actual_result.to_base(10)));
|
|
}
|
|
}
|
|
|
|
TEST_CASE(test_bigint_import_big_endian_decode_encode_roundtrip)
|
|
{
|
|
u8 random_bytes[128];
|
|
u8 target_buffer[128];
|
|
fill_with_random(random_bytes);
|
|
auto encoded = Crypto::UnsignedBigInteger::import_data(random_bytes, 128);
|
|
encoded.export_data({ target_buffer, 128 });
|
|
EXPECT(memcmp(target_buffer, random_bytes, 128) == 0);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_import_big_endian_encode_decode_roundtrip)
|
|
{
|
|
u8 target_buffer[128];
|
|
auto encoded = "12345678901234567890"_bigint;
|
|
auto size = encoded.export_data({ target_buffer, 128 });
|
|
auto decoded = Crypto::UnsignedBigInteger::import_data(target_buffer, size);
|
|
EXPECT_EQ(encoded, decoded);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_big_endian_import)
|
|
{
|
|
auto number = Crypto::UnsignedBigInteger::import_data("hello"sv);
|
|
EXPECT_EQ(number, "448378203247"_bigint);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_big_endian_export)
|
|
{
|
|
auto number = "448378203247"_bigint;
|
|
char exported[8] { 0 };
|
|
auto exported_length = number.export_data({ exported, 8 }, true);
|
|
EXPECT_EQ(exported_length, 5u);
|
|
EXPECT(memcmp(exported + 3, "hello", 5) == 0);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_one_based_index_of_highest_set_bit)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "1234567"_bigint;
|
|
EXPECT_EQ("0"_bigint.one_based_index_of_highest_set_bit(), 0u);
|
|
EXPECT_EQ("1"_bigint.one_based_index_of_highest_set_bit(), 1u);
|
|
EXPECT_EQ("7"_bigint.one_based_index_of_highest_set_bit(), 3u);
|
|
EXPECT_EQ("4294967296"_bigint.one_based_index_of_highest_set_bit(), 33u);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_bitwise_not_fill_to_one_based_index)
|
|
{
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(0), "0"_bigint);
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(1), "1"_bigint);
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(2), "3"_bigint);
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(4), "15"_bigint);
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(32), "4294967295"_bigint);
|
|
EXPECT_EQ("0"_bigint.bitwise_not_fill_to_one_based_index(33), "8589934591"_bigint);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_or)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "1234567"_bigint;
|
|
EXPECT_EQ(num1.bitwise_or(num2), num1);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_or_different_lengths)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "123456789012345678901234567890"_bigint;
|
|
auto expected = "123456789012345678901234622167"_bigint;
|
|
auto result = num1.bitwise_or(num2);
|
|
EXPECT_EQ(result, expected);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_bitwise_or)
|
|
{
|
|
auto num1 = "-1234567"_sbigint;
|
|
auto num2 = "1234567"_sbigint;
|
|
EXPECT_EQ(num1.bitwise_or(num1), num1);
|
|
EXPECT_EQ(num1.bitwise_or(num2), "-1"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_or(num1), "-1"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_or(num2), num2);
|
|
|
|
EXPECT_EQ("0"_sbigint.bitwise_or("-1"_sbigint), "-1"_sbigint);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_and)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "1234561"_bigint;
|
|
EXPECT_EQ(num1.bitwise_and(num2), "1234561"_bigint);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_and_different_lengths)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "123456789012345678901234567890"_bigint;
|
|
EXPECT_EQ(num1.bitwise_and(num2), "1180290"_bigint);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_bitwise_not)
|
|
{
|
|
EXPECT_EQ("3"_sbigint.bitwise_not(), "-4"_sbigint);
|
|
EXPECT_EQ("-1"_sbigint.bitwise_not(), "0"_sbigint);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_bitwise_and)
|
|
{
|
|
auto num1 = "-1234567"_sbigint;
|
|
auto num2 = "1234567"_sbigint;
|
|
EXPECT_EQ(num1.bitwise_and(num1), num1);
|
|
EXPECT_EQ(num1.bitwise_and(num2), "1"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_and(num1), "1"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_and(num2), num2);
|
|
|
|
EXPECT_EQ("-3"_sbigint.bitwise_and("-2"_sbigint), "-4"_sbigint);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_xor)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "1234561"_bigint;
|
|
EXPECT_EQ(num1.bitwise_xor(num2), 6);
|
|
}
|
|
|
|
TEST_CASE(test_bigint_bitwise_xor_different_lengths)
|
|
{
|
|
auto num1 = "1234567"_bigint;
|
|
auto num2 = "123456789012345678901234567890"_bigint;
|
|
EXPECT_EQ(num1.bitwise_xor(num2), "123456789012345678901233441877"_bigint);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_bitwise_xor)
|
|
{
|
|
auto num1 = "-3"_sbigint;
|
|
auto num2 = "1"_sbigint;
|
|
EXPECT_EQ(num1.bitwise_xor(num1), "0"_sbigint);
|
|
EXPECT_EQ(num1.bitwise_xor(num2), "-4"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_xor(num1), "-4"_sbigint);
|
|
EXPECT_EQ(num2.bitwise_xor(num2), "0"_sbigint);
|
|
}
|
|
|
|
TEST_CASE(test_signed_bigint_fibo500)
|
|
{
|
|
Vector<u32> expected_result {
|
|
315178285, 505575602, 1883328078, 125027121,
|
|
3649625763, 347570207, 74535262, 3832543808,
|
|
2472133297, 1600064941, 65273441
|
|
};
|
|
auto result = bigint_signed_fibonacci(500);
|
|
EXPECT_EQ(result.unsigned_value().words(), expected_result);
|
|
}
|
|
|
|
TEST_CASE(test_signed_addition_edgecase_borrow_with_zero)
|
|
{
|
|
Crypto::SignedBigInteger num1 { Crypto::UnsignedBigInteger { { UINT32_MAX - 3, UINT32_MAX } }, false };
|
|
Crypto::SignedBigInteger num2 { Crypto::UnsignedBigInteger { UINT32_MAX - 2 }, false };
|
|
Vector<u32> expected_result { 4294967289, 0, 1 };
|
|
EXPECT_EQ(num1.plus(num2).unsigned_value().words(), expected_result);
|
|
}
|
|
|
|
TEST_CASE(test_signed_addition_edgecase_addition_to_other_sign)
|
|
{
|
|
Crypto::SignedBigInteger num1 = INT32_MAX;
|
|
Crypto::SignedBigInteger num2 = num1;
|
|
num2.negate();
|
|
EXPECT_EQ(num1.plus(num2), Crypto::SignedBigInteger { 0 });
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_simple_subtraction_positive_result)
|
|
{
|
|
Crypto::SignedBigInteger num1(80);
|
|
Crypto::SignedBigInteger num2(70);
|
|
EXPECT_EQ(num1.minus(num2), Crypto::SignedBigInteger(10));
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_simple_subtraction_negative_result)
|
|
{
|
|
Crypto::SignedBigInteger num1(50);
|
|
Crypto::SignedBigInteger num2(70);
|
|
|
|
EXPECT_EQ(num1.minus(num2), Crypto::SignedBigInteger { -20 });
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_both_negative)
|
|
{
|
|
Crypto::SignedBigInteger num1(-50);
|
|
Crypto::SignedBigInteger num2(-70);
|
|
|
|
EXPECT_EQ(num1.minus(num2), Crypto::SignedBigInteger { 20 });
|
|
EXPECT_EQ(num2.minus(num1), Crypto::SignedBigInteger { -20 });
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_simple_subtraction_with_borrow)
|
|
{
|
|
Crypto::SignedBigInteger num1(Crypto::UnsignedBigInteger { UINT32_MAX });
|
|
Crypto::SignedBigInteger num2(1);
|
|
Crypto::SignedBigInteger num3 = num1.plus(num2);
|
|
Crypto::SignedBigInteger result = num2.minus(num3);
|
|
num1.negate();
|
|
EXPECT_EQ(result, num1);
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_with_large_numbers)
|
|
{
|
|
Crypto::SignedBigInteger num1 = bigint_signed_fibonacci(343);
|
|
Crypto::SignedBigInteger num2 = bigint_signed_fibonacci(218);
|
|
Crypto::SignedBigInteger result = num2.minus(num1);
|
|
auto expected = Crypto::UnsignedBigInteger { Vector<u32> { 811430588, 2958904896, 1130908877, 2830569969, 3243275482, 3047460725, 774025231, 7990 } };
|
|
EXPECT_EQ(result.plus(num1), num2);
|
|
EXPECT_EQ(result.unsigned_value(), expected);
|
|
}
|
|
|
|
TEST_CASE(test_signed_subtraction_with_large_numbers_check_for_assertion)
|
|
{
|
|
Crypto::SignedBigInteger num1(Crypto::UnsignedBigInteger { Vector<u32> { 1483061863, 446680044, 1123294122, 191895498, 3347106536, 16, 0, 0, 0 } });
|
|
Crypto::SignedBigInteger num2(Crypto::UnsignedBigInteger { Vector<u32> { 4196414175, 1117247942, 1123294122, 191895498, 3347106536, 16 } });
|
|
Crypto::SignedBigInteger result = num1.minus(num2);
|
|
// this test only verifies that we don't crash on an assertion
|
|
}
|
|
|
|
TEST_CASE(test_signed_multiplication_with_negative_number)
|
|
{
|
|
Crypto::SignedBigInteger num1(8);
|
|
Crypto::SignedBigInteger num2(-251);
|
|
Crypto::SignedBigInteger result = num1.multiplied_by(num2);
|
|
EXPECT_EQ(result, Crypto::SignedBigInteger { -2008 });
|
|
}
|
|
|
|
TEST_CASE(test_signed_multiplication_with_big_number)
|
|
{
|
|
Crypto::SignedBigInteger num1 = bigint_signed_fibonacci(200);
|
|
Crypto::SignedBigInteger num2(-12345678);
|
|
Crypto::SignedBigInteger result = num1.multiplied_by(num2);
|
|
Vector<u32> expected_result { 669961318, 143970113, 4028714974, 3164551305, 1589380278, 2 };
|
|
EXPECT_EQ(result.unsigned_value().words(), expected_result);
|
|
EXPECT(result.is_negative());
|
|
}
|
|
|
|
TEST_CASE(test_signed_multiplication_with_two_big_numbers)
|
|
{
|
|
Crypto::SignedBigInteger num1 = bigint_signed_fibonacci(200);
|
|
Crypto::SignedBigInteger num2 = bigint_signed_fibonacci(341);
|
|
num1.negate();
|
|
Crypto::SignedBigInteger result = num1.multiplied_by(num2);
|
|
Vector<u32> expected_results {
|
|
3017415433, 2741793511, 1957755698, 3731653885,
|
|
3154681877, 785762127, 3200178098, 4260616581,
|
|
529754471, 3632684436, 1073347813, 2516430
|
|
};
|
|
EXPECT_EQ(result.unsigned_value().words(), expected_results);
|
|
EXPECT(result.is_negative());
|
|
}
|
|
|
|
TEST_CASE(test_negative_zero_is_not_allowed)
|
|
{
|
|
Crypto::SignedBigInteger zero(Crypto::UnsignedBigInteger(0), true);
|
|
EXPECT(!zero.is_negative());
|
|
|
|
zero.negate();
|
|
EXPECT(!zero.is_negative());
|
|
|
|
Crypto::SignedBigInteger positive_five(Crypto::UnsignedBigInteger(5), false);
|
|
Crypto::SignedBigInteger negative_five(Crypto::UnsignedBigInteger(5), true);
|
|
zero = positive_five.plus(negative_five);
|
|
|
|
EXPECT(zero.unsigned_value().is_zero());
|
|
EXPECT(!zero.is_negative());
|
|
}
|
|
|
|
TEST_CASE(double_comparisons) {
|
|
#define EXPECT_LESS_THAN(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleGreaterThanBigInt)
|
|
#define EXPECT_GREATER_THAN(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleLessThanBigInt)
|
|
#define EXPECT_EQUAL_TO(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleEqualsBigInt)
|
|
{ Crypto::SignedBigInteger zero { 0 };
|
|
EXPECT_EQUAL_TO(zero, 0.0);
|
|
EXPECT_EQUAL_TO(zero, -0.0);
|
|
}
|
|
|
|
{
|
|
Crypto::SignedBigInteger one { 1 };
|
|
EXPECT_EQUAL_TO(one, 1.0);
|
|
EXPECT_GREATER_THAN(one, -1.0);
|
|
EXPECT_GREATER_THAN(one, 0.5);
|
|
EXPECT_GREATER_THAN(one, -0.5);
|
|
EXPECT_LESS_THAN(one, 1.000001);
|
|
|
|
one.negate();
|
|
auto const& negative_one = one;
|
|
EXPECT_EQUAL_TO(negative_one, -1.0);
|
|
EXPECT_LESS_THAN(negative_one, 1.0);
|
|
EXPECT_LESS_THAN(one, 0.5);
|
|
EXPECT_LESS_THAN(one, -0.5);
|
|
EXPECT_GREATER_THAN(one, -1.5);
|
|
EXPECT_LESS_THAN(one, 1.000001);
|
|
EXPECT_GREATER_THAN(one, -1.000001);
|
|
}
|
|
|
|
{
|
|
double double_infinity = HUGE_VAL;
|
|
VERIFY(isinf(double_infinity));
|
|
Crypto::SignedBigInteger one { 1 };
|
|
EXPECT_LESS_THAN(one, double_infinity);
|
|
EXPECT_GREATER_THAN(one, -double_infinity);
|
|
}
|
|
|
|
{
|
|
double double_max_value = NumericLimits<double>::max();
|
|
double double_below_max_value = nextafter(double_max_value, 0.0);
|
|
VERIFY(double_below_max_value < double_max_value);
|
|
VERIFY(double_below_max_value < (double_max_value - 1.0));
|
|
auto max_value_in_bigint = Crypto::SignedBigInteger::from_base(16, "fffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
auto max_value_plus_one = max_value_in_bigint.plus(Crypto::SignedBigInteger { 1 });
|
|
auto max_value_minus_one = max_value_in_bigint.minus(Crypto::SignedBigInteger { 1 });
|
|
|
|
auto below_max_value_in_bigint = Crypto::SignedBigInteger::from_base(16, "fffffffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
|
|
EXPECT_EQUAL_TO(max_value_in_bigint, double_max_value);
|
|
EXPECT_LESS_THAN(max_value_minus_one, double_max_value);
|
|
EXPECT_GREATER_THAN(max_value_plus_one, double_max_value);
|
|
EXPECT_LESS_THAN(below_max_value_in_bigint, double_max_value);
|
|
|
|
EXPECT_GREATER_THAN(max_value_in_bigint, double_below_max_value);
|
|
EXPECT_GREATER_THAN(max_value_minus_one, double_below_max_value);
|
|
EXPECT_GREATER_THAN(max_value_plus_one, double_below_max_value);
|
|
EXPECT_EQUAL_TO(below_max_value_in_bigint, double_below_max_value);
|
|
}
|
|
|
|
{
|
|
double double_min_value = NumericLimits<double>::lowest();
|
|
double double_above_min_value = nextafter(double_min_value, 0.0);
|
|
VERIFY(double_above_min_value > double_min_value);
|
|
VERIFY(double_above_min_value > (double_min_value + 1.0));
|
|
auto min_value_in_bigint = Crypto::SignedBigInteger::from_base(16, "-fffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
auto min_value_plus_one = min_value_in_bigint.plus(Crypto::SignedBigInteger { 1 });
|
|
auto min_value_minus_one = min_value_in_bigint.minus(Crypto::SignedBigInteger { 1 });
|
|
|
|
auto above_min_value_in_bigint = Crypto::SignedBigInteger::from_base(16, "-fffffffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
|
|
EXPECT_EQUAL_TO(min_value_in_bigint, double_min_value);
|
|
EXPECT_LESS_THAN(min_value_minus_one, double_min_value);
|
|
EXPECT_GREATER_THAN(min_value_plus_one, double_min_value);
|
|
EXPECT_GREATER_THAN(above_min_value_in_bigint, double_min_value);
|
|
|
|
EXPECT_LESS_THAN(min_value_in_bigint, double_above_min_value);
|
|
EXPECT_LESS_THAN(min_value_minus_one, double_above_min_value);
|
|
EXPECT_LESS_THAN(min_value_plus_one, double_above_min_value);
|
|
EXPECT_EQUAL_TO(above_min_value_in_bigint, double_above_min_value);
|
|
}
|
|
|
|
{
|
|
double just_above_255 = bit_cast<double>(0x406fe00000000001ULL);
|
|
double just_below_255 = bit_cast<double>(0x406fdfffffffffffULL);
|
|
double double_255 = 255.0;
|
|
Crypto::SignedBigInteger bigint_255 { 255 };
|
|
|
|
EXPECT_EQUAL_TO(bigint_255, double_255);
|
|
EXPECT_GREATER_THAN(bigint_255, just_below_255);
|
|
EXPECT_LESS_THAN(bigint_255, just_above_255);
|
|
}
|
|
|
|
#undef EXPECT_LESS_THAN
|
|
#undef EXPECT_GREATER_THAN
|
|
#undef EXPECT_EQUAL_TO
|
|
}
|
|
|
|
TEST_CASE(to_double)
|
|
{
|
|
#define EXPECT_TO_EQUAL_DOUBLE(bigint, double_value) \
|
|
EXPECT_EQ((bigint).to_double(Crypto::UnsignedBigInteger::RoundingMode::RoundTowardZero), double_value)
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(Crypto::UnsignedBigInteger(0), 0.0);
|
|
// Make sure we don't get negative zero!
|
|
EXPECT_EQ(signbit(Crypto::UnsignedBigInteger(0).to_double()), 0);
|
|
{
|
|
Crypto::SignedBigInteger zero { 0 };
|
|
|
|
EXPECT(!zero.is_negative());
|
|
EXPECT_TO_EQUAL_DOUBLE(zero, 0.0);
|
|
EXPECT_EQ(signbit(zero.to_double()), 0);
|
|
|
|
zero.negate();
|
|
|
|
EXPECT(!zero.is_negative());
|
|
EXPECT_TO_EQUAL_DOUBLE(zero, 0.0);
|
|
EXPECT_EQ(signbit(zero.to_double()), 0);
|
|
}
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(Crypto::UnsignedBigInteger(9682), 9682.0);
|
|
EXPECT_TO_EQUAL_DOUBLE(Crypto::SignedBigInteger(-9660), -9660.0);
|
|
|
|
double double_max_value = NumericLimits<double>::max();
|
|
double infinity = INFINITY;
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "fffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "ffffffffffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"sv),
|
|
double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
infinity);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::SignedBigInteger::from_base(16, "-fffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
-double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::SignedBigInteger::from_base(16, "-ffffffffffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
-double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::SignedBigInteger::from_base(16, "-ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"sv),
|
|
-double_max_value);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::SignedBigInteger::from_base(16, "-10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv),
|
|
-infinity);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "ffffffffffffffff"sv),
|
|
18446744073709549568.0);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "fffffffffffff800"sv),
|
|
18446744073709549568.0);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(
|
|
Crypto::UnsignedBigInteger::from_base(16, "fffffffffffff8ff"sv),
|
|
18446744073709549568.0);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(Crypto::SignedBigInteger::from_base(10, "1234567890123456789"sv),
|
|
1234567890123456800.0);
|
|
|
|
EXPECT_TO_EQUAL_DOUBLE(Crypto::SignedBigInteger::from_base(10, "2345678901234567890"sv),
|
|
2345678901234567680.0);
|
|
|
|
EXPECT_EQ(
|
|
Crypto::UnsignedBigInteger::from_base(16, "1fffffffffffff00"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
2305843009213693696.0);
|
|
|
|
EXPECT_EQ(
|
|
Crypto::UnsignedBigInteger::from_base(16, "1fffffffffffff00"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::RoundTowardZero),
|
|
2305843009213693696.0);
|
|
|
|
EXPECT_EQ(
|
|
Crypto::UnsignedBigInteger::from_base(16, "1fffffffffffff80"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
2305843009213693952.0);
|
|
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000001"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740992.0);
|
|
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000002"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740994.0);
|
|
|
|
// 2^53 = 20000000000000, +3 Rounds up because of tiesRoundToEven
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000003"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740996.0);
|
|
|
|
// +4 is exactly 9007199254740996
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000004"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740996.0);
|
|
|
|
// +5 rounds down because of tiesRoundToEven
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000005"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740996.0);
|
|
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(16, "20000000000006"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
9007199254740998.0);
|
|
|
|
EXPECT_EQ(Crypto::UnsignedBigInteger::from_base(10, "98382635059784269824"sv).to_double(Crypto::UnsignedBigInteger::RoundingMode::IEEERoundAndTiesToEvenMantissa),
|
|
bit_cast<double>(0x4415555555555555ULL));
|
|
|
|
#undef EXPECT_TO_EQUAL_DOUBLE
|
|
}
|
|
|
|
TEST_CASE(bigint_from_double)
|
|
{
|
|
{
|
|
Crypto::UnsignedBigInteger from_zero { 0.0 };
|
|
EXPECT(from_zero.is_zero());
|
|
EXPECT(!from_zero.is_invalid());
|
|
}
|
|
|
|
#define SURVIVES_ROUND_TRIP_UNSIGNED(double_value) \
|
|
{ \
|
|
Crypto::UnsignedBigInteger bigint { (double_value) }; \
|
|
EXPECT_EQ(bigint.to_double(), (double_value)); \
|
|
}
|
|
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(0.0);
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(1.0);
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(100000.0);
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(1000000000000.0);
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(10000000000000000000.0);
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(NumericLimits<double>::max());
|
|
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x4340000000000002ULL));
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x4340000000000001ULL));
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x4340000000000000ULL));
|
|
|
|
// Failed on last bits of mantissa
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x7EDFFFFFFFFFFFFFULL));
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x7ed5555555555555ULL));
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x7EDCBA9876543210ULL));
|
|
|
|
// Has exactly exponent of 32
|
|
SURVIVES_ROUND_TRIP_UNSIGNED(bit_cast<double>(0x41f22f74e0000000ULL));
|
|
|
|
#define SURVIVES_ROUND_TRIP_SIGNED(double_value) \
|
|
{ \
|
|
Crypto::SignedBigInteger bigint_positive { (double_value) }; \
|
|
EXPECT_EQ(bigint_positive.to_double(), (double_value)); \
|
|
Crypto::SignedBigInteger bigint_negative { -(double_value) }; \
|
|
EXPECT_EQ(bigint_negative.to_double(), -(double_value)); \
|
|
EXPECT(bigint_positive != bigint_negative); \
|
|
bigint_positive.negate(); \
|
|
EXPECT(bigint_positive == bigint_negative); \
|
|
}
|
|
|
|
{
|
|
// Negative zero should be converted to positive zero
|
|
double const negative_zero = bit_cast<double>(0x8000000000000000);
|
|
|
|
// However it should give a bit exact +0.0
|
|
Crypto::SignedBigInteger from_negative_zero { negative_zero };
|
|
EXPECT(from_negative_zero.is_zero());
|
|
EXPECT(!from_negative_zero.is_negative());
|
|
double result = from_negative_zero.to_double();
|
|
EXPECT_EQ(result, 0.0);
|
|
EXPECT_EQ(bit_cast<u64>(result), 0ULL);
|
|
}
|
|
|
|
SURVIVES_ROUND_TRIP_SIGNED(1.0);
|
|
SURVIVES_ROUND_TRIP_SIGNED(100000.0);
|
|
SURVIVES_ROUND_TRIP_SIGNED(-1000000000000.0);
|
|
SURVIVES_ROUND_TRIP_SIGNED(10000000000000000000.0);
|
|
SURVIVES_ROUND_TRIP_SIGNED(NumericLimits<double>::max());
|
|
SURVIVES_ROUND_TRIP_SIGNED(NumericLimits<double>::lowest());
|
|
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x4340000000000002ULL));
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x4340000000000001ULL));
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x4340000000000000ULL));
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x7EDFFFFFFFFFFFFFULL));
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x7ed5555555555555ULL));
|
|
SURVIVES_ROUND_TRIP_SIGNED(bit_cast<double>(0x7EDCBA9876543210ULL));
|
|
|
|
#undef SURVIVES_ROUND_TRIP_SIGNED
|
|
#undef SURVIVES_ROUND_TRIP_UNSIGNED
|
|
}
|
|
|
|
TEST_CASE(unsigned_bigint_double_comparisons)
|
|
{
|
|
#define EXPECT_LESS_THAN(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleGreaterThanBigInt)
|
|
#define EXPECT_GREATER_THAN(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleLessThanBigInt)
|
|
#define EXPECT_EQUAL_TO(bigint, double_value) EXPECT_EQ(bigint.compare_to_double(double_value), Crypto::UnsignedBigInteger::CompareResult::DoubleEqualsBigInt)
|
|
|
|
{
|
|
Crypto::UnsignedBigInteger zero { 0 };
|
|
EXPECT_EQUAL_TO(zero, 0.0);
|
|
EXPECT_EQUAL_TO(zero, -0.0);
|
|
}
|
|
|
|
{
|
|
Crypto::UnsignedBigInteger one { 1 };
|
|
EXPECT_EQUAL_TO(one, 1.0);
|
|
EXPECT_GREATER_THAN(one, -1.0);
|
|
EXPECT_GREATER_THAN(one, 0.5);
|
|
EXPECT_GREATER_THAN(one, -0.5);
|
|
EXPECT_LESS_THAN(one, 1.000001);
|
|
}
|
|
|
|
{
|
|
double double_infinity = HUGE_VAL;
|
|
VERIFY(isinf(double_infinity));
|
|
Crypto::UnsignedBigInteger one { 1 };
|
|
EXPECT_LESS_THAN(one, double_infinity);
|
|
EXPECT_GREATER_THAN(one, -double_infinity);
|
|
}
|
|
|
|
{
|
|
double double_max_value = NumericLimits<double>::max();
|
|
double double_below_max_value = nextafter(double_max_value, 0.0);
|
|
VERIFY(double_below_max_value < double_max_value);
|
|
VERIFY(double_below_max_value < (double_max_value - 1.0));
|
|
auto max_value_in_bigint = Crypto::UnsignedBigInteger::from_base(16, "fffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
auto max_value_plus_one = max_value_in_bigint.plus(Crypto::UnsignedBigInteger { 1 });
|
|
auto max_value_minus_one = max_value_in_bigint.minus(Crypto::UnsignedBigInteger { 1 });
|
|
|
|
auto below_max_value_in_bigint = Crypto::UnsignedBigInteger::from_base(16, "fffffffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"sv);
|
|
|
|
EXPECT_EQUAL_TO(max_value_in_bigint, double_max_value);
|
|
EXPECT_LESS_THAN(max_value_minus_one, double_max_value);
|
|
EXPECT_GREATER_THAN(max_value_plus_one, double_max_value);
|
|
EXPECT_LESS_THAN(below_max_value_in_bigint, double_max_value);
|
|
|
|
EXPECT_GREATER_THAN(max_value_in_bigint, double_below_max_value);
|
|
EXPECT_GREATER_THAN(max_value_minus_one, double_below_max_value);
|
|
EXPECT_GREATER_THAN(max_value_plus_one, double_below_max_value);
|
|
EXPECT_EQUAL_TO(below_max_value_in_bigint, double_below_max_value);
|
|
}
|
|
|
|
{
|
|
double just_above_255 = bit_cast<double>(0x406fe00000000001ULL);
|
|
double just_below_255 = bit_cast<double>(0x406fdfffffffffffULL);
|
|
double double_255 = 255.0;
|
|
Crypto::UnsignedBigInteger bigint_255 { 255 };
|
|
|
|
EXPECT_EQUAL_TO(bigint_255, double_255);
|
|
EXPECT_GREATER_THAN(bigint_255, just_below_255);
|
|
EXPECT_LESS_THAN(bigint_255, just_above_255);
|
|
}
|
|
|
|
#undef EXPECT_LESS_THAN
|
|
#undef EXPECT_GREATER_THAN
|
|
#undef EXPECT_EQUAL_TO
|
|
}
|
|
|
|
namespace AK {
|
|
|
|
template<>
|
|
struct Formatter<Crypto::UnsignedBigInteger::CompareResult> : Formatter<StringView> {
|
|
ErrorOr<void> format(FormatBuilder& builder, Crypto::UnsignedBigInteger::CompareResult const& compare_result)
|
|
{
|
|
switch (compare_result) {
|
|
case Crypto::UnsignedBigInteger::CompareResult::DoubleEqualsBigInt:
|
|
return builder.put_string("Equals"sv);
|
|
case Crypto::UnsignedBigInteger::CompareResult::DoubleLessThanBigInt:
|
|
return builder.put_string("LessThan"sv);
|
|
case Crypto::UnsignedBigInteger::CompareResult::DoubleGreaterThanBigInt:
|
|
return builder.put_string("GreaterThan"sv);
|
|
default:
|
|
return builder.put_string("???"sv);
|
|
}
|
|
}
|
|
};
|
|
|
|
}
|