// Copyright (c) 2014-2021 The Bitcoin Core developers // Distributed under the MIT software license, see the accompanying // file COPYING or http://www.opensource.org/licenses/mit-license.php. #include #include #include #include #include #include #include #include BOOST_FIXTURE_TEST_SUITE(serfloat_tests, BasicTestingSetup) namespace { uint64_t TestDouble(double f) { uint64_t i = EncodeDouble(f); double f2 = DecodeDouble(i); if (std::isnan(f)) { // NaN is not guaranteed to round-trip exactly. BOOST_CHECK(std::isnan(f2)); } else { // Everything else is. BOOST_CHECK(!std::isnan(f2)); uint64_t i2 = EncodeDouble(f2); BOOST_CHECK_EQUAL(f, f2); BOOST_CHECK_EQUAL(i, i2); } return i; } } // namespace BOOST_AUTO_TEST_CASE(double_serfloat_tests) { BOOST_CHECK_EQUAL(TestDouble(0.0), 0U); BOOST_CHECK_EQUAL(TestDouble(-0.0), 0x8000000000000000); BOOST_CHECK_EQUAL(TestDouble(std::numeric_limits::infinity()), 0x7ff0000000000000U); BOOST_CHECK_EQUAL(TestDouble(-std::numeric_limits::infinity()), 0xfff0000000000000); BOOST_CHECK_EQUAL(TestDouble(0.5), 0x3fe0000000000000ULL); BOOST_CHECK_EQUAL(TestDouble(1.0), 0x3ff0000000000000ULL); BOOST_CHECK_EQUAL(TestDouble(2.0), 0x4000000000000000ULL); BOOST_CHECK_EQUAL(TestDouble(4.0), 0x4010000000000000ULL); BOOST_CHECK_EQUAL(TestDouble(785.066650390625), 0x4088888880000000ULL); // Roundtrip test on IEC559-compatible systems if (std::numeric_limits::is_iec559) { BOOST_CHECK_EQUAL(sizeof(double), 8U); BOOST_CHECK_EQUAL(sizeof(uint64_t), 8U); // Test extreme values TestDouble(std::numeric_limits::min()); TestDouble(-std::numeric_limits::min()); TestDouble(std::numeric_limits::max()); TestDouble(-std::numeric_limits::max()); TestDouble(std::numeric_limits::lowest()); TestDouble(-std::numeric_limits::lowest()); TestDouble(std::numeric_limits::quiet_NaN()); TestDouble(-std::numeric_limits::quiet_NaN()); TestDouble(std::numeric_limits::signaling_NaN()); TestDouble(-std::numeric_limits::signaling_NaN()); TestDouble(std::numeric_limits::denorm_min()); TestDouble(-std::numeric_limits::denorm_min()); // Test exact encoding: on currently supported platforms, EncodeDouble // should produce exactly the same as the in-memory representation for non-NaN. for (int j = 0; j < 1000; ++j) { // Iterate over 9 specific bits exhaustively; the others are chosen randomly. // These specific bits are the sign bit, and the 2 top and bottom bits of // exponent and mantissa in the IEEE754 binary64 format. for (int x = 0; x < 512; ++x) { uint64_t v = InsecureRandBits(64); v &= ~(uint64_t{1} << 0); if (x & 1) v |= (uint64_t{1} << 0); v &= ~(uint64_t{1} << 1); if (x & 2) v |= (uint64_t{1} << 1); v &= ~(uint64_t{1} << 50); if (x & 4) v |= (uint64_t{1} << 50); v &= ~(uint64_t{1} << 51); if (x & 8) v |= (uint64_t{1} << 51); v &= ~(uint64_t{1} << 52); if (x & 16) v |= (uint64_t{1} << 52); v &= ~(uint64_t{1} << 53); if (x & 32) v |= (uint64_t{1} << 53); v &= ~(uint64_t{1} << 61); if (x & 64) v |= (uint64_t{1} << 61); v &= ~(uint64_t{1} << 62); if (x & 128) v |= (uint64_t{1} << 62); v &= ~(uint64_t{1} << 63); if (x & 256) v |= (uint64_t{1} << 63); double f; memcpy(&f, &v, 8); uint64_t v2 = TestDouble(f); if (!std::isnan(f)) BOOST_CHECK_EQUAL(v, v2); } } } } /* Python code to generate the below hashes: def reversed_hex(x): return bytes(reversed(x)).hex() def dsha256(x): return hashlib.sha256(hashlib.sha256(x).digest()).digest() reversed_hex(dsha256(b''.join(struct.pack('> val; double j = DecodeDouble(val); BOOST_CHECK_MESSAGE(i == j, "decoded:" << j << " expected:" << i); } } BOOST_AUTO_TEST_SUITE_END()