/* * This file is part of the Monero P2Pool * Copyright (c) 2021 SChernykh * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, version 3. * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . */ #include "common.h" #include "json_parsers.h" #include #include "gtest/gtest.h" #include #include namespace p2pool { static const difficulty_type max_diff{ std::numeric_limits::max(), std::numeric_limits::max() }; TEST(difficulty_type, constructors) { difficulty_type diff; ASSERT_EQ(diff.lo, 0); ASSERT_EQ(diff.hi, 0); difficulty_type diff2(123, 456); ASSERT_EQ(diff2.lo, 123); ASSERT_EQ(diff2.hi, 456); } TEST(difficulty_type, target) { // diff = 0 { difficulty_type d(0, 0); ASSERT_EQ(d.target(), std::numeric_limits::max()); } // diff = 1 { difficulty_type d(1, 0); ASSERT_EQ(d.target(), std::numeric_limits::max()); } // diff = 2^64 { difficulty_type d(0, 1); ASSERT_EQ(d.target(), 1); } // diff = max ASSERT_EQ(max_diff.target(), 1); // diff = 2^32 { difficulty_type d(1ull << 32, 0); ASSERT_EQ(d.target(), 1ull << 32); } // diff from block 2440918 { difficulty_type d(334654765825ull, 0); ASSERT_EQ(d.target(), 55121714); } } TEST(difficulty_type, add_sub) { auto check = [](const difficulty_type& a, const difficulty_type& b, const difficulty_type& sum) { difficulty_type result1 = a + b; difficulty_type result2 = a; result2 += b; ASSERT_EQ(result1, sum); ASSERT_EQ(result2, sum); ASSERT_EQ(sum - a, b); ASSERT_EQ(sum - b, a); result1 -= a; ASSERT_EQ(result1, b); result2 -= b; ASSERT_EQ(result2, a); }; // No carry { difficulty_type diff[4] = { { 0, 0 }, { 1, 0 }, { 0, 1 }, { 1, 1 } }; for (int i = 0; i <= 3; ++i) { for (int j = 0; j <= 3; ++j) { difficulty_type sum(diff[i].lo + diff[j].lo, diff[i].hi + diff[j].hi); check(diff[i], diff[j], sum); } } } // Carry { difficulty_type a(11400714819323198485ull, 0); difficulty_type b(15975348984942515101ull, 0); difficulty_type sum(8929319730556161970ull, 1); check(a, b, sum); } // Carry (edge case) { difficulty_type a(std::numeric_limits::max(), 0); difficulty_type b(1, 0); difficulty_type sum(0, 1); check(a, b, sum); } } TEST(difficulty_type, mul_div) { auto check = [](const difficulty_type& a, uint64_t b, const difficulty_type& product) { ASSERT_EQ(a * b, product); difficulty_type result = a; result *= b; ASSERT_EQ(result, product); if (b) { ASSERT_EQ(result / b, a); difficulty_type tmp = result; tmp /= difficulty_type(b, 0); ASSERT_EQ(tmp, a); difficulty_type tmp2 = result; tmp2 /= b; ASSERT_EQ(tmp2, a); } }; // (2^128 - 1) * 0 = 0 check(max_diff, 0, { 0, 0 }); // (2^128 - 1) * 1 = 2^128 - 1 check(max_diff, 1, max_diff); // 5057672949897463733145855 * 67280421310721 = 2^128 - 1 check({ 18446744073709277439ull, 274176ull }, 67280421310721ull, max_diff); // 10^19 * 10 = 10^20 check({ 10000000000000000000ull, 0 }, 10, { 7766279631452241920ull, 5 }); // 10^20 * 10 = 10^21 check({ 7766279631452241920ull, 5 }, 10, { 3875820019684212736ull, 54 }); // 0 * (2^64 - 1) = 0 check({ 0, 0 }, std::numeric_limits::max(), { 0, 0 }); // 1 * (2^64 - 1) = 2^64 - 1 check({ 1, 0 }, std::numeric_limits::max(), { std::numeric_limits::max(), 0 }); // 2^64 * (2^64 - 1) = 2^128 - 2^64 check({ 0, 1 }, std::numeric_limits::max(), { 0, std::numeric_limits::max() }); // (2^64 + 1) * (2^64 - 1) = 2^128 - 1 check({ 1, 1 }, std::numeric_limits::max(), max_diff); // 2753074036095 * 6700417 = 2^64 - 1 check({ 2753074036095ull, 0 }, 6700417, { std::numeric_limits::max(), 0 }); // 2^32 * 2^32 = 2^64 check({ 4294967296ull, 0 }, 4294967296ull, { 0, 1 }); // 274177 * 67280421310721 = 2^64 + 1 check({ 274177, 0 }, 67280421310721ull, { 1, 1 }); // Powers of 2 { difficulty_type a(1, 0); for (int i = 0; i < 64; ++i) { ASSERT_EQ(a.lo, 1ull << i); ASSERT_EQ(a.hi, 0); a *= 2; difficulty_type b = a; b /= 2; ASSERT_EQ(b.lo, 1ull << i); ASSERT_EQ(b.hi, 0); } for (int i = 0; i < 64; ++i) { ASSERT_EQ(a.lo, 0); ASSERT_EQ(a.hi, 1ull << i); a *= 2; if (i < 63) { difficulty_type b = a; b /= 2; ASSERT_EQ(b.lo, 0); ASSERT_EQ(b.hi, 1ull << i); } } ASSERT_EQ(a.lo, 0); ASSERT_EQ(a.hi, 0); } // No carry check({ 123, 456 }, 789, { 97047, 359784 }); } static NOINLINE difficulty_type div128_ref(difficulty_type a, difficulty_type b) { difficulty_type result{}; while (a >= b) { difficulty_type t = b; difficulty_type q{ 1, 0 }; while (a - t >= t) { t += t; q += q; } a -= t; result += q; } return result; } TEST(difficulty_type, div128) { auto check = [](difficulty_type a, difficulty_type b, difficulty_type result) { ASSERT_EQ(div128_ref(a, b), result); ASSERT_EQ(a / b, result); a /= b; ASSERT_EQ(a, result); }; // (2^128 - 1) / (2^128 - 1) = 1 check(max_diff, max_diff, { 1, 0 }); // (2^128 - 1) / (2^64 - 1) = 2^64 + 1 check(max_diff, { std::numeric_limits::max(), 0 }, { 1, 1 }); // (2^128 - 1) / 2^64 = 2^64 - 1 check(max_diff, { 0, 1 }, { std::numeric_limits::max(), 0 }); // (2^128 - 1) / (2^64 + 1) = 2^64 - 1 check(max_diff, { 1, 1 }, { std::numeric_limits::max(), 0 }); // (2^128 - 1) / 8100430714362380904069067128193 = 42007935 check(max_diff, { 439125228929, 439125228929 }, { 42007935, 0 }); // (2^128 - 2^64) / (2^64 + 1) = 2^64 - 2 check({ 0, std::numeric_limits::max() }, { 1, 1 }, { std::numeric_limits::max() - 1, 0 }); // (2^128 - 2^64) / 2^64 = 2^64 - 1 check({ 0, std::numeric_limits::max() }, { 0, 1 }, { std::numeric_limits::max(), 0 }); // (2^128 - 2^64) / (2^64 - 1) = 2^64 check({ 0, std::numeric_limits::max() }, { std::numeric_limits::max(), 0 }, { 0, 1 }); { difficulty_type a = max_diff - 4; // (2^128 - 5) / 2002733033099709041094789607565039 = 169909 check(a, { 7565587230673184495, 108568375269759 }, { 169909, 0 }); // (2^128 - 5) / 2002733033099709041094789607565040 = 169908 check(a, { 7565587230673184496, 108568375269759 }, { 169908, 0 }); a -= 1; // (2^128 - 6) / 2002733033099709041094789607565039 = 169908 check(a, { 7565587230673184495, 108568375269759 }, { 169908, 0 }); // (2^128 - 6) / 2002733033099709041094789607565038 = 169909 check(a, { 7565587230673184494, 108568375269759 }, { 169909, 0 }); } // Powers of 2 for (difficulty_type i{ 1, 0 }, j = max_diff; !i.empty(); i += i, j /= 2) { check(max_diff, i, j); } // Trivial tests check({ 0, 3 }, { 0, 1 }, { 3, 0 }); check({ 0, 3 }, { 1, 1 }, { 2, 0 }); check({ 123 * 4 - 1, 456 * 4 }, { 123, 456 }, { 3, 0 }); check({ 123 * 4, 456 * 4 }, { 123, 456 }, { 4, 0 }); // Exhaustive tests (top 8 bits of each number) for (uint64_t i = 1; i < 256; ++i) { for (uint64_t j = 1; j < 256; ++j) { const difficulty_type a{ 0, i << 56 }; const difficulty_type b{ 0, j << 56 }; { difficulty_type t = a; t /= b; ASSERT_EQ(t.lo, i / j); ASSERT_EQ(t.hi, 0); } } } // Bit patterns std::vector patterns; // 2^N-1, 2^N, 2^N+1 for (uint64_t i = 0; i < 128; ++i) { difficulty_type t; reinterpret_cast(&t)[i / 64] |= 1ull << (i % 64); patterns.emplace_back(t - 1); patterns.emplace_back(t); patterns.emplace_back(t + 1); } // 2^N+2^M, 2^N-2^M bool check_bits[128] = {}; for (uint64_t i = 64 - 4; i < 64 + 4; ++i) { check_bits[i] = true; } for (uint64_t i = 128 - 8; i < 128; ++i) { check_bits[i] = true; } for (uint64_t i = 0; i < 128; ++i) { if (!check_bits[i]) { continue; } difficulty_type t1; reinterpret_cast(&t1)[i / 64] = 1ull << (i % 64); for (uint64_t j = i + 1; j < 128; ++j) { if (!check_bits[j]) { continue; } difficulty_type t2; reinterpret_cast(&t2)[j / 64] = 1ull << (j % 64); patterns.emplace_back(t2 + t1); patterns.emplace_back(t2 - t1); } } // All previous patterns, but ~X for (size_t i = 0, n = patterns.size(); i < n; ++i) { patterns.emplace_back(~patterns[i].lo, ~patterns[i].hi); } std::sort(patterns.begin(), patterns.end()); patterns.erase(std::unique(patterns.begin(), patterns.end()), patterns.end()); // remove 0 patterns.erase(patterns.begin()); for (size_t i = 0, n = patterns.size(); i < n; ++i) { const difficulty_type& a = patterns[i]; for (size_t j = i + 1; j < n; ++j) { const difficulty_type& b = patterns[j]; ASSERT_EQ(div128_ref(b, a), b / a); } } // Random tests with fixed seed std::mt19937_64 r(0); for (uint64_t i = 0; i < 10000000; ++i) { // Random number of bits [1, 63] const uint64_t N = (r() % 63) + 1; // Random multiplier [1, 2^N - 1] uint64_t k; do { k = r() & ((1ull << N) - 1); } while (k == 0); uint64_t t; const uint64_t max_a = udiv128(1, 0, k + 1, &t); // Random number [2^64, 2^128 / (k + 1)] difficulty_type a{ r(), 0 }; do { a.hi = r() % max_a; } while (a.hi == 0); difficulty_type b1 = a * k; difficulty_type b2 = b1 - 1; difficulty_type b3 = b1 + a; difficulty_type b4 = b3 - 1; b1 /= a; ASSERT_EQ(b1.lo, k); ASSERT_EQ(b1.hi, 0); b2 /= a; ASSERT_EQ(b2.lo, k - 1); ASSERT_EQ(b2.hi, 0); b3 /= a; ASSERT_EQ(b3.lo, k + 1); ASSERT_EQ(b3.hi, 0); b4 /= a; ASSERT_EQ(b4.lo, k); ASSERT_EQ(b4.hi, 0); } } TEST(difficulty_type, compare) { const difficulty_type diff[4] = { { 0, 0 }, { 1, 0 }, { 0, 1 }, { 1, 1 } }; for (int i = 0; i <= 3; ++i) { for (int j = 0; j <= 3; ++j) { ASSERT_EQ(diff[i] < diff[j], i < j); ASSERT_EQ(diff[i] >= diff[j], i >= j); ASSERT_EQ(diff[i] == diff[j], i == j); ASSERT_EQ(diff[i] != diff[j], i != j); } } } TEST(difficulty_type, input_output) { auto test_value = [](uint64_t lo, uint64_t hi, const char* s) { difficulty_type diff{ lo, hi }; std::stringstream ss; ss << diff; ASSERT_EQ(ss.str(), s); difficulty_type diff2; ss >> diff2; ASSERT_EQ(diff2, diff); }; test_value(0, 0, "0"); test_value(1, 0, "1"); test_value(340599339356ull, 0, "340599339356"); test_value(std::numeric_limits::max(), 0, "18446744073709551615"); test_value(0, 1, "18446744073709551616"); test_value(1, 1, "18446744073709551617"); test_value(7766279631452241919ull, 5, "99999999999999999999"); test_value(7766279631452241920ull, 5, "100000000000000000000"); test_value(7766279631452241921ull, 5, "100000000000000000001"); test_value(14083847773837265618ull, 6692605942ull, "123456789012345678901234567890"); test_value(std::numeric_limits::max(), std::numeric_limits::max(), "340282366920938463463374607431768211455"); } TEST(difficulty_type, json_parser) { auto test_value = [](uint64_t lo, uint64_t hi, const char* s) { difficulty_type diff{ lo, hi }; std::stringstream ss; ss << "{\"diff\":\"" << s << "\"}"; using namespace rapidjson; Document doc; doc.Parse(ss.str().c_str()); difficulty_type diff2; parseValue(doc, "diff", diff2); ASSERT_EQ(diff2, diff); }; test_value(0, 0, "0x0"); test_value(1, 0, "0x1"); test_value(0x123456789abcdefull, 0, "0x123456789abcdef"); test_value(0x123456789abcdefull, 0, "0x123456789ABCDEF"); test_value(std::numeric_limits::max(), 0, "0xffffffffffffffff"); test_value(0, 1, "0x10000000000000000"); test_value(1, 1, "0x10000000000000001"); test_value(0x1122334455667788ull, 0x99aabbccddeeff00ull, "0x99aabbccddeeff001122334455667788"); test_value(std::numeric_limits::max(), std::numeric_limits::max(), "0xffffffffffffffffffffffffffffffff"); } TEST(difficulty_type, check_pow) { hash h; // Power of 2 close to the current Monero network difficulty difficulty_type diff = { 1ull << 38, 0 }; { // 2^256 / 2^38 = 2^218 // diff.check_pow() will get 2^256 as a multiplication result = lowest possible value that fails the test uint64_t data[4] = { 0, 0, 0, 1ull << 26 }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); // Now decrease the hash by 1. It should pass the test now data[0] = data[1] = data[2] = std::numeric_limits::max(); --data[3]; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); } /* * Factors of 2^256 - 1: * P1 = 3 * P1 = 5 * P2 = 17 * P3 = 257 * P3 = 641 * P5 = 65537 * P6 = 274177 * P7 = 6700417 * P14 = 67280421310721 * P17 = 59649589127497217 * P22 = 5704689200685129054721 */ diff = { 67280421310721ull, 0 }; { // (2^256 - 1) / 67280421310721 = 1721036922503113971692907638171526209875755521904893141463060735 // diff.check_pow() will get 2^256-1 as a multiplication result = highest possible value that still passes the test uint64_t data[4] = { 0xfffffffffffbd0ffull, 0x0000000000042f00ull, 0xfffffffffffbd0ffull, 0x42f00ull }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); // Now increase the hash by 1. It should not pass the test anymore ++data[0]; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); } // diff = 5704689200685129054721 diff = { 4645281908877605377ull, 309ull }; { // (2^256 - 1) / 5704689200685129054721 = 20297703374166229616474325006177763232573806344580020735 // diff.check_pow() will get 2^256-1 as a multiplication result = highest possible value that still passes the test uint64_t data[4] = { 0xff2c1503c50eb9ffull, 0xffffffffffffffffull, 0xd3eafc3af14600ull, 0 }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); // Now increase the hash by 1. It should not pass the test anymore ++data[0]; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); } /* * Factors of 2^256 + 1: * P16 = 1238926361552897 * P62 = 93461639715357977769163558199606896584051237541638188580280321 */ diff = { 1238926361552897ull, 0 }; { // (2^256 + 1) / 1238926361552897 = 93461639715357977769163558199606896584051237541638188580280321 // diff.check_pow() will get 2^256+1 as a multiplication result = lowest possible non-power of 2 that fails the test uint64_t data[4] = { 0x49baa0ba2c911801ull, 0x6ee3637cab2586d0ull, 0x4c585a8f5c7073e3, 0x3a29ull }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); // Now decrease the hash by 1. It should pass the test now --data[0]; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); } // Randomized tests with fixed seed std::mt19937_64 r(0); for (int i = 0; i < 1000; ++i) { // Random difficulty between 300G and 400G difficulty_type diff{ 300000000000ull + (r() % 100000000000ull), 0 }; hash h; // All zeros memset(h.h, 0, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); // All ones memset(h.h, -1, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); { uint64_t data[4]; uint64_t rem; data[3] = udiv128(1, 0, diff.lo, &rem); data[2] = udiv128(rem, 0, diff.lo, &rem); data[1] = udiv128(rem, 0, diff.lo, &rem); data[0] = udiv128(rem, 0, diff.lo, &rem); // Max hash value that passes this difficulty memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); // Add 1 to data (256-bit number) for (int j = 0; j <= 3; ++j) { ++data[j]; if (data[j]) { // No carry, exit the loop break; } } // Min hash value that fails this difficulty memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); } const uint64_t target = diff.target(); // Random values that pass for (int j = 0; j < 10000; ++j) { const uint64_t data[4] = { r(), r(), r(), r() % target }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), true); } // Random values that fail for (int j = 0; j < 10000; ++j) { const uint64_t data[4] = { r(), r(), r(), target + (r() % (std::numeric_limits::max() - target + 1)) }; memcpy(h.h, data, HASH_SIZE); ASSERT_EQ(diff.check_pow(h), false); } } } }