d1f2ccf15c
The previous implementation would simply crash when command-line parameters to the bigint_shell weren't valid integers (where integers were expected). Change-Id: Ia9987ab241ae9cac8dad4517766bfdd0b8cc98b7 Reviewed-on: https://chromium-review.googlesource.com/c/v8/v8/+/3677295 Commit-Queue: Jakob Kummerow <jkummerow@chromium.org> Auto-Submit: Jakob Kummerow <jkummerow@chromium.org> Reviewed-by: Maya Lekova <mslekova@chromium.org> Commit-Queue: Maya Lekova <mslekova@chromium.org> Cr-Commit-Position: refs/heads/main@{#80824}
633 lines
22 KiB
C++
633 lines
22 KiB
C++
// Copyright 2021 the V8 project authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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#include <cmath>
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#include <memory>
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#include <string>
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#include "src/bigint/bigint-internal.h"
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#include "src/bigint/util.h"
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namespace v8 {
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namespace bigint {
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namespace test {
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int PrintHelp(char** argv) {
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std::cerr << "Usage:\n"
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<< argv[0] << " --help\n"
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<< " Print this help and exit.\n"
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<< argv[0] << " --list\n"
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<< " List supported tests.\n"
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<< argv[0] << " <testname>\n"
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<< " Run the specified test (see --list for a list).\n"
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<< "\nOptions when running tests:\n"
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<< "--random-seed R\n"
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<< " Initialize the random number generator with this seed.\n"
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<< "--runs N\n"
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<< " Repeat the test N times.\n";
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return 1;
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}
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#define TESTS(V) \
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V(kBarrett, "barrett") \
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V(kBurnikel, "burnikel") \
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V(kFFT, "fft") \
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V(kFromString, "fromstring") \
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V(kFromStringBase2, "fromstring2") \
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V(kKaratsuba, "karatsuba") \
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V(kToom, "toom") \
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V(kToString, "tostring")
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enum Operation { kNoOp, kList, kTest };
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enum Test {
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#define TEST(kName, name) kName,
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TESTS(TEST)
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#undef TEST
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};
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class RNG {
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public:
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RNG() = default;
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void Initialize(int64_t seed) {
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state0_ = MurmurHash3(static_cast<uint64_t>(seed));
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state1_ = MurmurHash3(~state0_);
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CHECK(state0_ != 0 || state1_ != 0);
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}
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uint64_t NextUint64() {
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XorShift128(&state0_, &state1_);
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return static_cast<uint64_t>(state0_ + state1_);
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}
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static inline void XorShift128(uint64_t* state0, uint64_t* state1) {
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uint64_t s1 = *state0;
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uint64_t s0 = *state1;
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*state0 = s0;
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s1 ^= s1 << 23;
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s1 ^= s1 >> 17;
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s1 ^= s0;
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s1 ^= s0 >> 26;
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*state1 = s1;
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}
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static uint64_t MurmurHash3(uint64_t h) {
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h ^= h >> 33;
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h *= uint64_t{0xFF51AFD7ED558CCD};
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h ^= h >> 33;
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h *= uint64_t{0xC4CEB9FE1A85EC53};
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h ^= h >> 33;
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return h;
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}
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private:
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uint64_t state0_;
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uint64_t state1_;
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};
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static constexpr int kCharsPerDigit = kDigitBits / 4;
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static const char kConversionChars[] = "0123456789abcdefghijklmnopqrstuvwxyz";
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std::string FormatHex(Digits X) {
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X.Normalize();
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if (X.len() == 0) return "0";
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digit_t msd = X.msd();
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const int msd_leading_zeros = CountLeadingZeros(msd);
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const size_t bit_length = X.len() * kDigitBits - msd_leading_zeros;
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const size_t chars = DIV_CEIL(bit_length, 4);
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if (chars > 100000) {
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return std::string("<BigInt with ") + std::to_string(bit_length) +
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std::string(" bits>");
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}
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std::unique_ptr<char[]> result(new char[chars]);
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for (size_t i = 0; i < chars; i++) result[i] = '?';
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// Print the number into the string, starting from the last position.
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int pos = static_cast<int>(chars - 1);
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for (int i = 0; i < X.len() - 1; i++) {
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digit_t d = X[i];
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for (int j = 0; j < kCharsPerDigit; j++) {
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result[pos--] = kConversionChars[d & 15];
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d = static_cast<digit_t>(d >> 4u);
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}
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}
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while (msd != 0) {
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result[pos--] = kConversionChars[msd & 15];
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msd = static_cast<digit_t>(msd >> 4u);
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}
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CHECK(pos == -1);
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return std::string(result.get(), chars);
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}
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class Runner {
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public:
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Runner() = default;
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void Initialize() {
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rng_.Initialize(random_seed_);
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processor_.reset(Processor::New(new Platform()));
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}
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ProcessorImpl* processor() {
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return static_cast<ProcessorImpl*>(processor_.get());
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}
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int Run() {
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if (op_ == kList) {
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ListTests();
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} else if (op_ == kTest) {
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RunTest();
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} else {
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DCHECK(false); // Unreachable.
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}
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return 0;
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}
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void ListTests() {
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#define PRINT(kName, name) std::cout << name << "\n";
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TESTS(PRINT)
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#undef PRINT
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}
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void AssertEquals(Digits input1, Digits input2, Digits expected,
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Digits actual) {
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if (Compare(expected, actual) == 0) return;
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std::cerr << "Input 1: " << FormatHex(input1) << "\n";
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std::cerr << "Input 2: " << FormatHex(input2) << "\n";
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std::cerr << "Expected: " << FormatHex(expected) << "\n";
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std::cerr << "Actual: " << FormatHex(actual) << "\n";
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error_ = true;
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}
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void AssertEquals(Digits X, int radix, char* expected, int expected_length,
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char* actual, int actual_length) {
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if (expected_length == actual_length &&
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std::memcmp(expected, actual, actual_length) == 0) {
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return;
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}
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std::cerr << "Input: " << FormatHex(X) << "\n";
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std::cerr << "Radix: " << radix << "\n";
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std::cerr << "Expected: " << std::string(expected, expected_length) << "\n";
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std::cerr << "Actual: " << std::string(actual, actual_length) << "\n";
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error_ = true;
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}
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void AssertEquals(const char* input, int input_length, int radix,
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Digits expected, Digits actual) {
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if (Compare(expected, actual) == 0) return;
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std::cerr << "Input: " << std::string(input, input_length) << "\n";
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std::cerr << "Radix: " << radix << "\n";
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std::cerr << "Expected: " << FormatHex(expected) << "\n";
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std::cerr << "Actual: " << FormatHex(actual) << "\n";
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error_ = true;
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}
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int RunTest() {
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int count = 0;
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if (test_ == kBarrett) {
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for (int i = 0; i < runs_; i++) {
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TestBarrett(&count);
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}
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} else if (test_ == kBurnikel) {
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for (int i = 0; i < runs_; i++) {
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TestBurnikel(&count);
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}
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} else if (test_ == kFFT) {
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for (int i = 0; i < runs_; i++) {
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TestFFT(&count);
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}
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} else if (test_ == kKaratsuba) {
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for (int i = 0; i < runs_; i++) {
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TestKaratsuba(&count);
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}
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} else if (test_ == kToom) {
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for (int i = 0; i < runs_; i++) {
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TestToom(&count);
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}
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} else if (test_ == kToString) {
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for (int i = 0; i < runs_; i++) {
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TestToString(&count);
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}
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} else if (test_ == kFromString) {
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for (int i = 0; i < runs_; i++) {
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TestFromString(&count);
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}
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} else if (test_ == kFromStringBase2) {
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for (int i = 0; i < runs_; i++) {
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TestFromStringBaseTwo(&count);
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}
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} else {
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DCHECK(false); // Unreachable.
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}
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if (error_) return 1;
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std::cout << count << " tests run, no error reported.\n";
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return 0;
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}
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void TestKaratsuba(int* count) {
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// Calling {MultiplyKaratsuba} directly is only valid if
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// left_size >= right_size and right_size >= kKaratsubaThreshold.
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constexpr int kMin = kKaratsubaThreshold;
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constexpr int kMax = 3 * kKaratsubaThreshold;
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for (int right_size = kMin; right_size <= kMax; right_size++) {
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for (int left_size = right_size; left_size <= kMax; left_size++) {
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ScratchDigits A(left_size);
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ScratchDigits B(right_size);
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int result_len = MultiplyResultLength(A, B);
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ScratchDigits result(result_len);
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ScratchDigits result_schoolbook(result_len);
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GenerateRandom(A);
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GenerateRandom(B);
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processor()->MultiplyKaratsuba(result, A, B);
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processor()->MultiplySchoolbook(result_schoolbook, A, B);
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AssertEquals(A, B, result_schoolbook, result);
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if (error_) return;
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(*count)++;
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}
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}
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}
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void TestToom(int* count) {
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#if V8_ADVANCED_BIGINT_ALGORITHMS
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// {MultiplyToomCook} works fine even below the threshold, so we can
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// save some time by starting small.
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constexpr int kMin = kToomThreshold - 60;
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constexpr int kMax = kToomThreshold + 10;
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for (int right_size = kMin; right_size <= kMax; right_size++) {
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for (int left_size = right_size; left_size <= kMax; left_size++) {
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ScratchDigits A(left_size);
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ScratchDigits B(right_size);
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int result_len = MultiplyResultLength(A, B);
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ScratchDigits result(result_len);
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ScratchDigits result_karatsuba(result_len);
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GenerateRandom(A);
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GenerateRandom(B);
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processor()->MultiplyToomCook(result, A, B);
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// Using Karatsuba as reference.
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processor()->MultiplyKaratsuba(result_karatsuba, A, B);
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AssertEquals(A, B, result_karatsuba, result);
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if (error_) return;
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(*count)++;
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}
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}
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#endif // V8_ADVANCED_BIGINT_ALGORITHMS
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}
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void TestFFT(int* count) {
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#if V8_ADVANCED_BIGINT_ALGORITHMS
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// Larger multiplications are slower, so to keep individual runs fast,
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// we test a few random samples. With build bots running 24/7, we'll
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// get decent coverage over time.
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uint64_t random_bits = rng_.NextUint64();
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int min = kFftThreshold - static_cast<int>(random_bits & 1023);
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random_bits >>= 10;
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int max = kFftThreshold + static_cast<int>(random_bits & 1023);
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random_bits >>= 10;
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// If delta is too small, then this run gets too slow. If it happened
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// to be zero, we'd even loop forever!
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int delta = 10 + (random_bits & 127);
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std::cout << "min " << min << " max " << max << " delta " << delta << "\n";
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for (int right_size = min; right_size <= max; right_size += delta) {
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for (int left_size = right_size; left_size <= max; left_size += delta) {
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ScratchDigits A(left_size);
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ScratchDigits B(right_size);
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int result_len = MultiplyResultLength(A, B);
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ScratchDigits result(result_len);
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ScratchDigits result_toom(result_len);
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GenerateRandom(A);
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GenerateRandom(B);
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processor()->MultiplyFFT(result, A, B);
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// Using Toom-Cook as reference.
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processor()->MultiplyToomCook(result_toom, A, B);
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AssertEquals(A, B, result_toom, result);
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if (error_) return;
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(*count)++;
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}
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}
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#endif // V8_ADVANCED_BIGINT_ALGORITHMS
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}
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void TestBurnikel(int* count) {
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// Start small to save test execution time.
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constexpr int kMin = kBurnikelThreshold / 2;
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constexpr int kMax = 2 * kBurnikelThreshold;
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for (int right_size = kMin; right_size <= kMax; right_size++) {
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for (int left_size = right_size; left_size <= kMax; left_size++) {
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ScratchDigits A(left_size);
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ScratchDigits B(right_size);
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GenerateRandom(A);
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GenerateRandom(B);
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int quotient_len = DivideResultLength(A, B);
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int remainder_len = right_size;
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ScratchDigits quotient(quotient_len);
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ScratchDigits quotient_schoolbook(quotient_len);
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ScratchDigits remainder(remainder_len);
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ScratchDigits remainder_schoolbook(remainder_len);
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processor()->DivideBurnikelZiegler(quotient, remainder, A, B);
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processor()->DivideSchoolbook(quotient_schoolbook, remainder_schoolbook,
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A, B);
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AssertEquals(A, B, quotient_schoolbook, quotient);
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AssertEquals(A, B, remainder_schoolbook, remainder);
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if (error_) return;
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(*count)++;
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}
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}
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}
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#if V8_ADVANCED_BIGINT_ALGORITHMS
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void TestBarrett_Internal(int left_size, int right_size) {
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ScratchDigits A(left_size);
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ScratchDigits B(right_size);
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GenerateRandom(A);
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GenerateRandom(B);
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int quotient_len = DivideResultLength(A, B);
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// {DivideResultLength} doesn't expect to be called for sizes below
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// {kBarrettThreshold} (which we do here to save time), so we have to
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// manually adjust the allocated result length.
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if (B.len() < kBarrettThreshold) quotient_len++;
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int remainder_len = right_size;
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ScratchDigits quotient(quotient_len);
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ScratchDigits quotient_burnikel(quotient_len);
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ScratchDigits remainder(remainder_len);
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ScratchDigits remainder_burnikel(remainder_len);
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processor()->DivideBarrett(quotient, remainder, A, B);
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processor()->DivideBurnikelZiegler(quotient_burnikel, remainder_burnikel, A,
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B);
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AssertEquals(A, B, quotient_burnikel, quotient);
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AssertEquals(A, B, remainder_burnikel, remainder);
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}
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void TestBarrett(int* count) {
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// We pick a range around kBurnikelThreshold (instead of kBarrettThreshold)
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// to save test execution time.
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constexpr int kMin = kBurnikelThreshold / 2;
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constexpr int kMax = 2 * kBurnikelThreshold;
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// {DivideBarrett(A, B)} requires that A.len > B.len!
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for (int right_size = kMin; right_size <= kMax; right_size++) {
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for (int left_size = right_size + 1; left_size <= kMax; left_size++) {
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TestBarrett_Internal(left_size, right_size);
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if (error_) return;
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(*count)++;
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}
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}
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// We also test one random large case.
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uint64_t random_bits = rng_.NextUint64();
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int right_size = kBarrettThreshold + static_cast<int>(random_bits & 0x3FF);
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random_bits >>= 10;
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int left_size = right_size + 1 + static_cast<int>(random_bits & 0x3FFF);
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random_bits >>= 14;
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TestBarrett_Internal(left_size, right_size);
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if (error_) return;
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(*count)++;
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}
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#else
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void TestBarrett(int* count) {}
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#endif // V8_ADVANCED_BIGINT_ALGORITHMS
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void TestToString(int* count) {
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constexpr int kMin = kToStringFastThreshold / 2;
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constexpr int kMax = kToStringFastThreshold * 2;
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for (int size = kMin; size < kMax; size++) {
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ScratchDigits X(size);
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GenerateRandom(X);
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for (int radix = 2; radix <= 36; radix++) {
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int chars_required = ToStringResultLength(X, radix, false);
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int result_len = chars_required;
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int reference_len = chars_required;
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std::unique_ptr<char[]> result(new char[result_len]);
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std::unique_ptr<char[]> reference(new char[reference_len]);
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processor()->ToStringImpl(result.get(), &result_len, X, radix, false,
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true);
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processor()->ToStringImpl(reference.get(), &reference_len, X, radix,
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false, false);
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AssertEquals(X, radix, reference.get(), reference_len, result.get(),
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result_len);
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if (error_) return;
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(*count)++;
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}
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}
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}
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void TestFromString(int* count) {
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constexpr int kMaxDigits = 1 << 20; // Any large-enough value will do.
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constexpr int kMin = kFromStringLargeThreshold / 2;
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constexpr int kMax = kFromStringLargeThreshold * 2;
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for (int size = kMin; size < kMax; size++) {
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// To keep test execution times low, test one random radix every time.
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// Generally, radixes 2 through 36 (inclusive) are supported; however
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// the functions {FromStringLarge} and {FromStringClassic} can't deal
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// with the data format that {Parse} creates for power-of-two radixes,
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// so we skip power-of-two radixes here (and test them separately below).
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// We round up the number of radixes in the list to 32 by padding with
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// 10, giving decimal numbers extra test coverage, and making it easy
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// to evenly map a random number into the index space.
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constexpr uint8_t radixes[] = {3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15,
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17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27,
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28, 29, 30, 31, 33, 34, 35, 36, 10, 10};
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int radix_index = (rng_.NextUint64() & 31);
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int radix = radixes[radix_index];
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int num_chars = std::round(size * kDigitBits / std::log2(radix));
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std::unique_ptr<char[]> chars(new char[num_chars]);
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GenerateRandomString(chars.get(), num_chars, radix);
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FromStringAccumulator accumulator(kMaxDigits);
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FromStringAccumulator ref_accumulator(kMaxDigits);
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const char* start = chars.get();
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const char* end = chars.get() + num_chars;
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accumulator.Parse(start, end, radix);
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ref_accumulator.Parse(start, end, radix);
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ScratchDigits result(accumulator.ResultLength());
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ScratchDigits reference(ref_accumulator.ResultLength());
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processor()->FromStringLarge(result, &accumulator);
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processor()->FromStringClassic(reference, &ref_accumulator);
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AssertEquals(start, num_chars, radix, result, reference);
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if (error_) return;
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(*count)++;
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}
|
|
}
|
|
|
|
void TestFromStringBaseTwo(int* count) {
|
|
constexpr int kMaxDigits = 1 << 20; // Any large-enough value will do.
|
|
constexpr int kMin = 1;
|
|
constexpr int kMax = 100;
|
|
for (int size = kMin; size < kMax; size++) {
|
|
ScratchDigits X(size);
|
|
GenerateRandom(X);
|
|
for (int bits = 1; bits <= 5; bits++) {
|
|
int radix = 1 << bits;
|
|
int chars_required = ToStringResultLength(X, radix, false);
|
|
int string_len = chars_required;
|
|
std::unique_ptr<char[]> chars(new char[string_len]);
|
|
processor()->ToStringImpl(chars.get(), &string_len, X, radix, false,
|
|
true);
|
|
// Fill any remaining allocated characters with garbage to test that
|
|
// too.
|
|
for (int i = string_len; i < chars_required; i++) {
|
|
chars[i] = '?';
|
|
}
|
|
const char* start = chars.get();
|
|
const char* end = start + chars_required;
|
|
FromStringAccumulator accumulator(kMaxDigits);
|
|
accumulator.Parse(start, end, radix);
|
|
ScratchDigits result(accumulator.ResultLength());
|
|
processor()->FromString(result, &accumulator);
|
|
AssertEquals(start, chars_required, radix, X, result);
|
|
if (error_) return;
|
|
(*count)++;
|
|
}
|
|
}
|
|
}
|
|
|
|
template <typename I>
|
|
bool ParseInt(char* s, I* out) {
|
|
char* end;
|
|
if (s[0] == '\0') return false;
|
|
errno = 0;
|
|
long l = strtol(s, &end, 10);
|
|
if (errno != 0 || *end != '\0' || l > std::numeric_limits<I>::max() ||
|
|
l < std::numeric_limits<I>::min()) {
|
|
return false;
|
|
}
|
|
*out = static_cast<I>(l);
|
|
return true;
|
|
}
|
|
|
|
int ParseOptions(int argc, char** argv) {
|
|
for (int i = 1; i < argc; i++) {
|
|
if (strcmp(argv[i], "--list") == 0) {
|
|
op_ = kList;
|
|
} else if (strcmp(argv[i], "--help") == 0 || strcmp(argv[i], "-h") == 0) {
|
|
PrintHelp(argv);
|
|
return 0;
|
|
} else if (strcmp(argv[i], "--random-seed") == 0 ||
|
|
strcmp(argv[i], "--random_seed") == 0) {
|
|
if (++i == argc || !ParseInt(argv[i], &random_seed_)) {
|
|
return PrintHelp(argv);
|
|
}
|
|
} else if (strncmp(argv[i], "--random-seed=", 14) == 0 ||
|
|
strncmp(argv[i], "--random_seed=", 14) == 0) {
|
|
if (!ParseInt(argv[i] + 14, &random_seed_)) return PrintHelp(argv);
|
|
} else if (strcmp(argv[i], "--runs") == 0) {
|
|
if (++i == argc || !ParseInt(argv[i], &runs_)) return PrintHelp(argv);
|
|
} else if (strncmp(argv[i], "--runs=", 7) == 0) {
|
|
if (!ParseInt(argv[i] + 7, &runs_)) return PrintHelp(argv);
|
|
}
|
|
#define TEST(kName, name) \
|
|
else if (strcmp(argv[i], name) == 0) { \
|
|
op_ = kTest; \
|
|
test_ = kName; \
|
|
}
|
|
TESTS(TEST)
|
|
#undef TEST
|
|
else {
|
|
std::cerr << "Warning: ignored argument: " << argv[i] << "\n";
|
|
}
|
|
}
|
|
if (op_ == kNoOp) return PrintHelp(argv); // op is mandatory.
|
|
return 0;
|
|
}
|
|
|
|
private:
|
|
void GenerateRandom(RWDigits Z) {
|
|
if (Z.len() == 0) return;
|
|
int mode = static_cast<int>(rng_.NextUint64() & 3);
|
|
if (mode == 0) {
|
|
// Generate random bits.
|
|
if (sizeof(digit_t) == 8) {
|
|
for (int i = 0; i < Z.len(); i++) {
|
|
Z[i] = static_cast<digit_t>(rng_.NextUint64());
|
|
}
|
|
} else {
|
|
for (int i = 0; i < Z.len(); i += 2) {
|
|
uint64_t random = rng_.NextUint64();
|
|
Z[i] = static_cast<digit_t>(random);
|
|
if (i + 1 < Z.len()) Z[i + 1] = static_cast<digit_t>(random >> 32);
|
|
}
|
|
}
|
|
// Special case: we don't want the MSD to be zero.
|
|
while (Z.msd() == 0) {
|
|
Z[Z.len() - 1] = static_cast<digit_t>(rng_.NextUint64());
|
|
}
|
|
return;
|
|
}
|
|
if (mode == 1) {
|
|
// Generate a power of 2, with the lone 1-bit somewhere in the MSD.
|
|
int bit_in_msd = static_cast<int>(rng_.NextUint64() % kDigitBits);
|
|
Z[Z.len() - 1] = digit_t{1} << bit_in_msd;
|
|
for (int i = 0; i < Z.len() - 1; i++) Z[i] = 0;
|
|
return;
|
|
}
|
|
// For mode == 2 and mode == 3, generate a random number of 1-bits in the
|
|
// MSD, aligned to the least-significant end.
|
|
int bits_in_msd = static_cast<int>(rng_.NextUint64() % kDigitBits);
|
|
digit_t msd = (digit_t{1} << bits_in_msd) - 1;
|
|
if (msd == 0) msd = ~digit_t{0};
|
|
Z[Z.len() - 1] = msd;
|
|
if (mode == 2) {
|
|
// The non-MSD digits are all 1-bits.
|
|
for (int i = 0; i < Z.len() - 1; i++) Z[i] = ~digit_t{0};
|
|
} else {
|
|
// mode == 3
|
|
// Each non-MSD digit is either all ones or all zeros.
|
|
uint64_t random;
|
|
int random_bits = 0;
|
|
for (int i = 0; i < Z.len() - 1; i++) {
|
|
if (random_bits == 0) {
|
|
random = rng_.NextUint64();
|
|
random_bits = 64;
|
|
}
|
|
Z[i] = random & 1 ? ~digit_t{0} : digit_t{0};
|
|
random >>= 1;
|
|
random_bits--;
|
|
}
|
|
}
|
|
}
|
|
|
|
void GenerateRandomString(char* str, int len, int radix) {
|
|
DCHECK(2 <= radix && radix <= 36);
|
|
if (len == 0) return;
|
|
uint64_t random;
|
|
int available_bits = 0;
|
|
const int char_bits = BitLength(radix - 1);
|
|
const uint64_t char_mask = (1u << char_bits) - 1u;
|
|
for (int i = 0; i < len; i++) {
|
|
while (true) {
|
|
if (available_bits < char_bits) {
|
|
random = rng_.NextUint64();
|
|
available_bits = 64;
|
|
}
|
|
int next_char = static_cast<int>(random & char_mask);
|
|
random = random >> char_bits;
|
|
available_bits -= char_bits;
|
|
if (next_char >= radix) continue;
|
|
*str = kConversionChars[next_char];
|
|
str++;
|
|
break;
|
|
};
|
|
}
|
|
}
|
|
|
|
Operation op_{kNoOp};
|
|
Test test_;
|
|
bool error_{false};
|
|
int runs_ = 1;
|
|
int64_t random_seed_{314159265359};
|
|
RNG rng_;
|
|
std::unique_ptr<Processor, Processor::Destroyer> processor_;
|
|
};
|
|
|
|
} // namespace test
|
|
} // namespace bigint
|
|
} // namespace v8
|
|
|
|
int main(int argc, char** argv) {
|
|
v8::bigint::test::Runner runner;
|
|
int ret = runner.ParseOptions(argc, argv);
|
|
if (ret != 0) return ret;
|
|
runner.Initialize();
|
|
return runner.Run();
|
|
}
|