#include #include #include #include #include #include #include namespace xrpl { class Number_test : public beast::unit_test::suite { public: void testZero() { testcase << "zero " << to_string(Number::getMantissaScale()); for (Number const& z : {Number{0, 0}, Number{0}}) { BEAST_EXPECT(z.mantissa() == 0); BEAST_EXPECT(z.exponent() == Number{}.exponent()); BEAST_EXPECT((z + z) == z); BEAST_EXPECT((z - z) == z); BEAST_EXPECT(z == -z); } } void test_limits() { auto const scale = Number::getMantissaScale(); testcase << "test_limits " << to_string(scale); bool caught = false; auto const minMantissa = Number::minMantissa(); try { Number x = Number{false, minMantissa * 10, 32768, Number::normalized{}}; } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); auto test = [this](auto const& x, auto const& y, int line) { auto const result = x == y; std::stringstream ss; ss << x << " == " << y << " -> " << (result ? "true" : "false"); expect(result, ss.str(), __FILE__, line); }; test( Number{false, minMantissa * 10, 32767, Number::normalized{}}, Number{false, minMantissa, 32768, Number::normalized{}}, __LINE__); test(Number{false, minMantissa, -32769, Number::normalized{}}, Number{}, __LINE__); test( Number{false, minMantissa, 32000, Number::normalized{}} * 1'000 + Number{false, 1'500, 32000, Number::normalized{}}, Number{false, minMantissa + 2, 32003, Number::normalized{}}, __LINE__); // 9,223,372,036,854,775,808 test( Number{std::numeric_limits::min()}, scale == MantissaRange::small ? Number{-9'223'372'036'854'776, 3} : Number{true, 9'223'372'036'854'775'808ULL, 0, Number::normalized{}}, __LINE__); test( Number{std::numeric_limits::min() + 1}, scale == MantissaRange::small ? Number{-9'223'372'036'854'776, 3} : Number{-9'223'372'036'854'775'807}, __LINE__); test( Number{std::numeric_limits::max()}, Number{ scale == MantissaRange::small ? 9'223'372'036'854'776 : std::numeric_limits::max(), 18 - Number::mantissaLog()}, __LINE__); caught = false; try { [[maybe_unused]] Number q = Number{false, minMantissa, 32767, Number::normalized{}} * 100; } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void test_add() { auto const scale = Number::getMantissaScale(); testcase << "test_add " << to_string(scale); using Case = std::tuple; auto const cSmall = std::to_array( {{Number{1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{1'000'000'000'000'066, -15}}, {Number{-1'000'000'000'000'000, -15}, Number{-6'555'555'555'555'555, -29}, Number{-1'000'000'000'000'066, -15}}, {Number{-1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{-9'999'999'999'999'344, -16}}, {Number{-6'555'555'555'555'555, -29}, Number{1'000'000'000'000'000, -15}, Number{9'999'999'999'999'344, -16}}, {Number{}, Number{5}, Number{5}}, {Number{5}, Number{}, Number{5}}, {Number{5'555'555'555'555'555, -32768}, Number{-5'555'555'555'555'554, -32768}, Number{0}}, {Number{-9'999'999'999'999'999, -31}, Number{1'000'000'000'000'000, -15}, Number{9'999'999'999'999'990, -16}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items from C // with larger mantissa { {Number{1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{1'000'000'000'000'065'556, -18}}, {Number{-1'000'000'000'000'000, -15}, Number{-6'555'555'555'555'555, -29}, Number{-1'000'000'000'000'065'556, -18}}, {Number{-1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{true, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{-6'555'555'555'555'555, -29}, Number{1'000'000'000'000'000, -15}, Number{false, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{}, Number{5}, Number{5}}, {Number{5}, Number{}, Number{5}}, {Number{5'555'555'555'555'555'000, -32768}, Number{-5'555'555'555'555'554'000, -32768}, Number{0}}, {Number{-9'999'999'999'999'999, -31}, Number{1'000'000'000'000'000, -15}, Number{9'999'999'999'999'990, -16}}, // Items from cSmall expanded for the larger mantissa {Number{1'000'000'000'000'000'000, -18}, Number{6'555'555'555'555'555'555, -35}, Number{1'000'000'000'000'000'066, -18}}, {Number{-1'000'000'000'000'000'000, -18}, Number{-6'555'555'555'555'555'555, -35}, Number{-1'000'000'000'000'000'066, -18}}, {Number{-1'000'000'000'000'000'000, -18}, Number{6'555'555'555'555'555'555, -35}, Number{true, 9'999'999'999'999'999'344ULL, -19, Number::normalized{}}}, {Number{-6'555'555'555'555'555'555, -35}, Number{1'000'000'000'000'000'000, -18}, Number{false, 9'999'999'999'999'999'344ULL, -19, Number::normalized{}}}, {Number{}, Number{5}, Number{5}}, {Number{5'555'555'555'555'555'555, -32768}, Number{-5'555'555'555'555'555'554, -32768}, Number{0}}, {Number{true, 9'999'999'999'999'999'999ULL, -37, Number::normalized{}}, Number{1'000'000'000'000'000'000, -18}, Number{false, 9'999'999'999'999'999'990ULL, -19, Number::normalized{}}}, {Number{Number::maxRep}, Number{6, -1}, Number{Number::maxRep / 10, 1}}, {Number{Number::maxRep - 1}, Number{1, 0}, Number{Number::maxRep}}, // Test extremes { // Each Number operand rounds up, so the actual mantissa is // minMantissa Number{false, 9'999'999'999'999'999'999ULL, 0, Number::normalized{}}, Number{false, 9'999'999'999'999'999'999ULL, 0, Number::normalized{}}, Number{2, 19}, }, { // Does not round. Mantissas are going to be > maxRep, so if // added together as uint64_t's, the result will overflow. // With addition using uint128_t, there's no problem. After // normalizing, the resulting mantissa ends up less than // maxRep. Number{false, 9'999'999'999'999'999'990ULL, 0, Number::normalized{}}, Number{false, 9'999'999'999'999'999'990ULL, 0, Number::normalized{}}, Number{false, 1'999'999'999'999'999'998ULL, 1, Number::normalized{}}, }, }); auto test = [this](auto const& c) { for (auto const& [x, y, z] : c) { auto const result = x + y; std::stringstream ss; ss << x << " + " << y << " = " << result << ". Expected: " << z; BEAST_EXPECTS(result == z, ss.str()); } }; if (scale == MantissaRange::small) test(cSmall); else test(cLarge); { bool caught = false; try { Number{false, Number::maxMantissa(), 32768, Number::normalized{}} + Number{false, Number::minMantissa(), 32767, Number::normalized{}} * 5; } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } } void test_sub() { auto const scale = Number::getMantissaScale(); testcase << "test_sub " << to_string(scale); using Case = std::tuple; auto const cSmall = std::to_array( {{Number{1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{9'999'999'999'999'344, -16}}, {Number{6'555'555'555'555'555, -29}, Number{1'000'000'000'000'000, -15}, Number{-9'999'999'999'999'344, -16}}, {Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'000, -15}, Number{0}}, {Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'001, -15}, Number{-1'000'000'000'000'000, -30}}, {Number{1'000'000'000'000'001, -15}, Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'000, -30}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items from C // with larger mantissa { {Number{1'000'000'000'000'000, -15}, Number{6'555'555'555'555'555, -29}, Number{false, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{6'555'555'555'555'555, -29}, Number{1'000'000'000'000'000, -15}, Number{true, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'000, -15}, Number{0}}, {Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'001, -15}, Number{-1'000'000'000'000'000, -30}}, {Number{1'000'000'000'000'001, -15}, Number{1'000'000'000'000'000, -15}, Number{1'000'000'000'000'000, -30}}, // Items from cSmall expanded for the larger mantissa {Number{1'000'000'000'000'000'000, -18}, Number{6'555'555'555'555'555'555, -32}, Number{false, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{6'555'555'555'555'555'555, -32}, Number{1'000'000'000'000'000'000, -18}, Number{true, 9'999'999'999'999'344'444ULL, -19, Number::normalized{}}}, {Number{1'000'000'000'000'000'000, -18}, Number{1'000'000'000'000'000'000, -18}, Number{0}}, {Number{1'000'000'000'000'000'000, -18}, Number{1'000'000'000'000'000'001, -18}, Number{-1'000'000'000'000'000'000, -36}}, {Number{1'000'000'000'000'000'001, -18}, Number{1'000'000'000'000'000'000, -18}, Number{1'000'000'000'000'000'000, -36}}, {Number{Number::maxRep}, Number{6, -1}, Number{Number::maxRep - 1}}, {Number{false, Number::maxRep + 1, 0, Number::normalized{}}, Number{1, 0}, Number{Number::maxRep / 10 + 1, 1}}, {Number{false, Number::maxRep + 1, 0, Number::normalized{}}, Number{3, 0}, Number{Number::maxRep}}, {power(2, 63), Number{3, 0}, Number{Number::maxRep}}, }); auto test = [this](auto const& c) { for (auto const& [x, y, z] : c) { auto const result = x - y; std::stringstream ss; ss << x << " - " << y << " = " << result << ". Expected: " << z; BEAST_EXPECTS(result == z, ss.str()); } }; if (scale == MantissaRange::small) test(cSmall); else test(cLarge); } void test_mul() { auto const scale = Number::getMantissaScale(); testcase << "test_mul " << to_string(scale); using Case = std::tuple; auto test = [this](auto const& c) { for (auto const& [x, y, z] : c) { auto const result = x * y; std::stringstream ss; ss << x << " * " << y << " = " << result << ". Expected: " << z; BEAST_EXPECTS(result == z, ss.str()); } }; auto tests = [&](auto const& cSmall, auto const& cLarge) { if (scale == MantissaRange::small) test(cSmall); else test(cLarge); }; auto const maxMantissa = Number::maxMantissa(); saveNumberRoundMode save{Number::setround(Number::to_nearest)}; { auto const cSmall = std::to_array({ {Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{2000000000000000, -15}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-2000000000000000, -15}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{2000000000000000, -15}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{1000000000000000, -14}}, {Number{1000000000000000, -32768}, Number{1000000000000000, -32768}, Number{0}}, // Maximum mantissa range {Number{9'999'999'999'999'999, 0}, Number{9'999'999'999'999'999, 0}, Number{9'999'999'999'999'998, 16}}, }); auto const cLarge = std::to_array({ // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa {Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999862, -18}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999862, -18}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999862, -18}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{false, 9'999'999'999'999'999'579ULL, -18, Number::normalized{}}}, {Number{1000000000000000000, -32768}, Number{1000000000000000000, -32768}, Number{0}}, // Items from cSmall expanded for the larger mantissa, // except duplicates. Sadly, it looks like sqrt(2)^2 != 2 // with higher precision {Number{1414213562373095049, -18}, Number{1414213562373095049, -18}, Number{2000000000000000001, -18}}, {Number{-1414213562373095048, -18}, Number{1414213562373095048, -18}, Number{-1999999999999999998, -18}}, {Number{-1414213562373095048, -18}, Number{-1414213562373095049, -18}, Number{1999999999999999999, -18}}, {Number{3214285714285714278, -18}, Number{3111111111111111119, -18}, Number{10, 0}}, // Maximum mantissa range - rounds up to 1e19 {Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa, 0, Number::normalized{}}, Number{1, 38}}, // Maximum int64 range {Number{Number::maxRep, 0}, Number{Number::maxRep, 0}, Number{85'070'591'730'234'615'85, 19}}, }); tests(cSmall, cLarge); } Number::setround(Number::towards_zero); testcase << "test_mul " << to_string(Number::getMantissaScale()) << " towards_zero"; { auto const cSmall = std::to_array( {{Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999, -15}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999, -15}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999, -15}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{9999999999999999, -15}}, {Number{1000000000000000, -32768}, Number{1000000000000000, -32768}, Number{0}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa { {Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999861, -18}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999861, -18}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999861, -18}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{false, 9999999999999999579ULL, -18, Number::normalized{}}}, {Number{1000000000000000000, -32768}, Number{1000000000000000000, -32768}, Number{0}}, // Items from cSmall expanded for the larger mantissa, // except duplicates. Sadly, it looks like sqrt(2)^2 != 2 // with higher precision {Number{1414213562373095049, -18}, Number{1414213562373095049, -18}, Number{2, 0}}, {Number{-1414213562373095048, -18}, Number{1414213562373095048, -18}, Number{-1999999999999999997, -18}}, {Number{-1414213562373095048, -18}, Number{-1414213562373095049, -18}, Number{1999999999999999999, -18}}, {Number{3214285714285714278, -18}, Number{3111111111111111119, -18}, Number{10, 0}}, // Maximum mantissa range - rounds down to maxMantissa/10e1 // 99'999'999'999'999'999'800'000'000'000'000'000'100 {Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa / 10 - 1, 20, Number::normalized{}}}, // Maximum int64 range // 85'070'591'730'234'615'847'396'907'784'232'501'249 {Number{Number::maxRep, 0}, Number{Number::maxRep, 0}, Number{85'070'591'730'234'615'84, 19}}, }); tests(cSmall, cLarge); } Number::setround(Number::downward); testcase << "test_mul " << to_string(Number::getMantissaScale()) << " downward"; { auto const cSmall = std::to_array( {{Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999, -15}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-2000000000000000, -15}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999, -15}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{9999999999999999, -15}}, {Number{1000000000000000, -32768}, Number{1000000000000000, -32768}, Number{0}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa { {Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999861, -18}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999862, -18}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999861, -18}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{false, 9'999'999'999'999'999'579ULL, -18, Number::normalized{}}}, {Number{1000000000000000000, -32768}, Number{1000000000000000000, -32768}, Number{0}}, // Items from cSmall expanded for the larger mantissa, // except duplicates. Sadly, it looks like sqrt(2)^2 != 2 // with higher precision {Number{1414213562373095049, -18}, Number{1414213562373095049, -18}, Number{2, 0}}, {Number{-1414213562373095048, -18}, Number{1414213562373095048, -18}, Number{-1999999999999999998, -18}}, {Number{-1414213562373095048, -18}, Number{-1414213562373095049, -18}, Number{1999999999999999999, -18}}, {Number{3214285714285714278, -18}, Number{3111111111111111119, -18}, Number{10, 0}}, // Maximum mantissa range - rounds down to maxMantissa/10e1 // 99'999'999'999'999'999'800'000'000'000'000'000'100 {Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa / 10 - 1, 20, Number::normalized{}}}, // Maximum int64 range // 85'070'591'730'234'615'847'396'907'784'232'501'249 {Number{Number::maxRep, 0}, Number{Number::maxRep, 0}, Number{85'070'591'730'234'615'84, 19}}, }); tests(cSmall, cLarge); } Number::setround(Number::upward); testcase << "test_mul " << to_string(Number::getMantissaScale()) << " upward"; { auto const cSmall = std::to_array( {{Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{2000000000000000, -15}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999, -15}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{2000000000000000, -15}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{1000000000000000, -14}}, {Number{1000000000000000, -32768}, Number{1000000000000000, -32768}, Number{0}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa { {Number{7}, Number{8}, Number{56}}, {Number{1414213562373095, -15}, Number{1414213562373095, -15}, Number{1999999999999999862, -18}}, {Number{-1414213562373095, -15}, Number{1414213562373095, -15}, Number{-1999999999999999861, -18}}, {Number{-1414213562373095, -15}, Number{-1414213562373095, -15}, Number{1999999999999999862, -18}}, {Number{3214285714285706, -15}, Number{3111111111111119, -15}, Number{999999999999999958, -17}}, {Number{1000000000000000000, -32768}, Number{1000000000000000000, -32768}, Number{0}}, // Items from cSmall expanded for the larger mantissa, // except duplicates. Sadly, it looks like sqrt(2)^2 != 2 // with higher precision {Number{1414213562373095049, -18}, Number{1414213562373095049, -18}, Number{2000000000000000001, -18}}, {Number{-1414213562373095048, -18}, Number{1414213562373095048, -18}, Number{-1999999999999999997, -18}}, {Number{-1414213562373095048, -18}, Number{-1414213562373095049, -18}, Number{2, 0}}, {Number{3214285714285714278, -18}, Number{3111111111111111119, -18}, Number{1000000000000000001, -17}}, // Maximum mantissa range - rounds up to minMantissa*10 // 1e19*1e19=1e38 {Number{false, maxMantissa, 0, Number::normalized{}}, Number{false, maxMantissa, 0, Number::normalized{}}, Number{1, 38}}, // Maximum int64 range // 85'070'591'730'234'615'847'396'907'784'232'501'249 {Number{Number::maxRep, 0}, Number{Number::maxRep, 0}, Number{85'070'591'730'234'615'85, 19}}, }); tests(cSmall, cLarge); } testcase << "test_mul " << to_string(Number::getMantissaScale()) << " overflow"; { bool caught = false; try { Number{false, maxMantissa, 32768, Number::normalized{}} * Number{false, Number::minMantissa() * 5, 32767, Number::normalized{}}; } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } } void test_div() { auto const scale = Number::getMantissaScale(); testcase << "test_div " << to_string(scale); using Case = std::tuple; auto test = [this](auto const& c) { for (auto const& [x, y, z] : c) { auto const result = x / y; std::stringstream ss; ss << x << " / " << y << " = " << result << ". Expected: " << z; BEAST_EXPECTS(result == z, ss.str()); } }; auto const maxMantissa = Number::maxMantissa(); auto tests = [&](auto const& cSmall, auto const& cLarge) { if (scale == MantissaRange::small) test(cSmall); else test(cLarge); }; saveNumberRoundMode save{Number::setround(Number::to_nearest)}; { auto const cSmall = std::to_array( {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'667, -16}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'667, -16}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428, -16}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666'667, -19}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666'667, -19}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428'571, -19}}, // Items from cSmall expanded for the larger mantissa, except // duplicates. {Number{1414213562373095049, -13}, Number{1414213562373095049, -13}, Number{1}}, {Number{false, maxMantissa, 0, Number::normalized{}}, Number{1'000'000'000'000'000'000}, Number{false, maxMantissa, -18, Number::normalized{}}}}); tests(cSmall, cLarge); } testcase << "test_div " << to_string(Number::getMantissaScale()) << " towards_zero"; Number::setround(Number::towards_zero); { auto const cSmall = std::to_array( {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666, -16}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666, -16}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428, -16}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666'666, -19}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666'666, -19}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428'571, -19}}, // Items from cSmall expanded for the larger mantissa, except // duplicates. {Number{1414213562373095049, -13}, Number{1414213562373095049, -13}, Number{1}}, {Number{false, maxMantissa, 0, Number::normalized{}}, Number{1'000'000'000'000'000'000}, Number{false, maxMantissa, -18, Number::normalized{}}}}); tests(cSmall, cLarge); } testcase << "test_div " << to_string(Number::getMantissaScale()) << " downward"; Number::setround(Number::downward); { auto const cSmall = std::to_array( {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666, -16}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'667, -16}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428, -16}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666'666, -19}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666'667, -19}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428'571, -19}}, // Items from cSmall expanded for the larger mantissa, except // duplicates. {Number{1414213562373095049, -13}, Number{1414213562373095049, -13}, Number{1}}, {Number{false, maxMantissa, 0, Number::normalized{}}, Number{1'000'000'000'000'000'000}, Number{false, maxMantissa, -18, Number::normalized{}}}}); tests(cSmall, cLarge); } testcase << "test_div " << to_string(Number::getMantissaScale()) << " upward"; Number::setround(Number::upward); { auto const cSmall = std::to_array( {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'667, -16}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666, -16}}, {Number{1}, Number{7}, Number{1'428'571'428'571'429, -16}}}); auto const cLarge = std::to_array( // Note that items with extremely large mantissas need to be // calculated, because otherwise they overflow uint64. Items // from C with larger mantissa {{Number{1}, Number{2}, Number{5, -1}}, {Number{1}, Number{10}, Number{1, -1}}, {Number{1}, Number{-10}, Number{-1, -1}}, {Number{0}, Number{100}, Number{0}}, {Number{1414213562373095, -10}, Number{1414213562373095, -10}, Number{1}}, {Number{9'999'999'999'999'999}, Number{1'000'000'000'000'000}, Number{9'999'999'999'999'999, -15}}, {Number{2}, Number{3}, Number{6'666'666'666'666'666'667, -19}}, {Number{-2}, Number{3}, Number{-6'666'666'666'666'666'666, -19}}, {Number{1}, Number{7}, Number{1'428'571'428'571'428'572, -19}}, // Items from cSmall expanded for the larger mantissa, except // duplicates. {Number{1414213562373095049, -13}, Number{1414213562373095049, -13}, Number{1}}, {Number{false, maxMantissa, 0, Number::normalized{}}, Number{1'000'000'000'000'000'000}, Number{false, maxMantissa, -18, Number::normalized{}}}}); tests(cSmall, cLarge); } testcase << "test_div " << to_string(Number::getMantissaScale()) << " overflow"; bool caught = false; try { Number{1000000000000000, -15} / Number{0}; } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void test_root() { auto const scale = Number::getMantissaScale(); testcase << "test_root " << to_string(scale); using Case = std::tuple; auto test = [this](auto const& c) { for (auto const& [x, y, z] : c) { auto const result = root(x, y); std::stringstream ss; ss << "root(" << x << ", " << y << ") = " << result << ". Expected: " << z; BEAST_EXPECTS(result == z, ss.str()); } }; /* auto tests = [&](auto const& cSmall, auto const& cLarge) { test(cSmall); if (scale != MantissaRange::small) test(cLarge); }; */ auto const cSmall = std::to_array( {{Number{2}, 2, Number{1414213562373095049, -18}}, {Number{2'000'000}, 2, Number{1414213562373095049, -15}}, {Number{2, -30}, 2, Number{1414213562373095049, -33}}, {Number{-27}, 3, Number{-3}}, {Number{1}, 5, Number{1}}, {Number{-1}, 0, Number{1}}, {Number{5, -1}, 0, Number{0}}, {Number{0}, 5, Number{0}}, {Number{5625, -4}, 2, Number{75, -2}}}); auto const cLarge = std::to_array({ {Number{false, Number::maxMantissa() - 9, -1, Number::normalized{}}, 2, Number{false, 999'999'999'999'999'999, -9, Number::normalized{}}}, {Number{false, Number::maxMantissa() - 9, 0, Number::normalized{}}, 2, Number{false, 3'162'277'660'168'379'330, -9, Number::normalized{}}}, {Number{Number::maxRep}, 2, Number{false, 3'037'000'499'976049692, -9, Number::normalized{}}}, {Number{Number::maxRep}, 4, Number{false, 55'108'98747006743627, -14, Number::normalized{}}}, }); test(cSmall); if (Number::getMantissaScale() != MantissaRange::small) { NumberRoundModeGuard mg(Number::towards_zero); test(cLarge); } bool caught = false; try { (void)root(Number{-2}, 0); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); caught = false; try { (void)root(Number{-2}, 4); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void test_root2() { auto const scale = Number::getMantissaScale(); testcase << "test_root2 " << to_string(scale); auto test = [this](auto const& c) { for (auto const& x : c) { auto const expected = root(x, 2); auto const result = root2(x); std::stringstream ss; ss << "root2(" << x << ") = " << result << ". Expected: " << expected; BEAST_EXPECTS(result == expected, ss.str()); } }; auto const cSmall = std::to_array({ Number{2}, Number{2'000'000}, Number{2, -30}, Number{27}, Number{1}, Number{5, -1}, Number{0}, Number{5625, -4}, Number{Number::maxRep}, }); test(cSmall); bool caught = false; try { (void)root2(Number{-2}); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void test_power1() { testcase << "test_power1 " << to_string(Number::getMantissaScale()); using Case = std::tuple; Case c[]{ {Number{64}, 0, Number{1}}, {Number{64}, 1, Number{64}}, {Number{64}, 2, Number{4096}}, {Number{-64}, 2, Number{4096}}, {Number{64}, 3, Number{262144}}, {Number{-64}, 3, Number{-262144}}, {Number{64}, 11, Number{false, 7378697629483820646ULL, 1, Number::normalized{}}}, {Number{-64}, 11, Number{true, 7378697629483820646ULL, 1, Number::normalized{}}}}; for (auto const& [x, y, z] : c) BEAST_EXPECT((power(x, y) == z)); } void test_power2() { testcase << "test_power2 " << to_string(Number::getMantissaScale()); using Case = std::tuple; Case c[]{ {Number{1}, 3, 7, Number{1}}, {Number{-1}, 1, 0, Number{1}}, {Number{-1, -1}, 1, 0, Number{0}}, {Number{16}, 0, 5, Number{1}}, {Number{34}, 3, 3, Number{34}}, {Number{4}, 3, 2, Number{8}}}; for (auto const& [x, n, d, z] : c) BEAST_EXPECT((power(x, n, d) == z)); bool caught = false; try { (void)power(Number{7}, 0, 0); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); caught = false; try { (void)power(Number{7}, 1, 0); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); caught = false; try { (void)power(Number{-1, -1}, 3, 2); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void testConversions() { testcase << "testConversions " << to_string(Number::getMantissaScale()); IOUAmount x{5, 6}; Number y = x; BEAST_EXPECT((y == Number{5, 6})); IOUAmount z{y}; BEAST_EXPECT(x == z); XRPAmount xrp{500}; STAmount st = xrp; Number n = st; BEAST_EXPECT(XRPAmount{n} == xrp); IOUAmount x0{0, 0}; Number y0 = x0; BEAST_EXPECT((y0 == Number{0})); IOUAmount z0{y0}; BEAST_EXPECT(x0 == z0); XRPAmount xrp0{0}; Number n0 = xrp0; BEAST_EXPECT(n0 == Number{0}); XRPAmount xrp1{n0}; BEAST_EXPECT(xrp1 == xrp0); } void test_to_integer() { testcase << "test_to_integer " << to_string(Number::getMantissaScale()); using Case = std::tuple; saveNumberRoundMode save{Number::setround(Number::to_nearest)}; { Case c[]{ {Number{0}, 0}, {Number{1}, 1}, {Number{2}, 2}, {Number{3}, 3}, {Number{-1}, -1}, {Number{-2}, -2}, {Number{-3}, -3}, {Number{10}, 10}, {Number{99}, 99}, {Number{1155}, 1155}, {Number{9'999'999'999'999'999, 0}, 9'999'999'999'999'999}, {Number{9'999'999'999'999'999, 1}, 99'999'999'999'999'990}, {Number{9'999'999'999'999'999, 2}, 999'999'999'999'999'900}, {Number{-9'999'999'999'999'999, 2}, -999'999'999'999'999'900}, {Number{15, -1}, 2}, {Number{14, -1}, 1}, {Number{16, -1}, 2}, {Number{25, -1}, 2}, {Number{6, -1}, 1}, {Number{5, -1}, 0}, {Number{4, -1}, 0}, {Number{-15, -1}, -2}, {Number{-14, -1}, -1}, {Number{-16, -1}, -2}, {Number{-25, -1}, -2}, {Number{-6, -1}, -1}, {Number{-5, -1}, 0}, {Number{-4, -1}, 0}}; for (auto const& [x, y] : c) { auto j = static_cast(x); BEAST_EXPECT(j == y); } } auto prev_mode = Number::setround(Number::towards_zero); BEAST_EXPECT(prev_mode == Number::to_nearest); { Case c[]{ {Number{0}, 0}, {Number{1}, 1}, {Number{2}, 2}, {Number{3}, 3}, {Number{-1}, -1}, {Number{-2}, -2}, {Number{-3}, -3}, {Number{10}, 10}, {Number{99}, 99}, {Number{1155}, 1155}, {Number{9'999'999'999'999'999, 0}, 9'999'999'999'999'999}, {Number{9'999'999'999'999'999, 1}, 99'999'999'999'999'990}, {Number{9'999'999'999'999'999, 2}, 999'999'999'999'999'900}, {Number{-9'999'999'999'999'999, 2}, -999'999'999'999'999'900}, {Number{15, -1}, 1}, {Number{14, -1}, 1}, {Number{16, -1}, 1}, {Number{25, -1}, 2}, {Number{6, -1}, 0}, {Number{5, -1}, 0}, {Number{4, -1}, 0}, {Number{-15, -1}, -1}, {Number{-14, -1}, -1}, {Number{-16, -1}, -1}, {Number{-25, -1}, -2}, {Number{-6, -1}, 0}, {Number{-5, -1}, 0}, {Number{-4, -1}, 0}}; for (auto const& [x, y] : c) { auto j = static_cast(x); BEAST_EXPECT(j == y); } } prev_mode = Number::setround(Number::downward); BEAST_EXPECT(prev_mode == Number::towards_zero); { Case c[]{ {Number{0}, 0}, {Number{1}, 1}, {Number{2}, 2}, {Number{3}, 3}, {Number{-1}, -1}, {Number{-2}, -2}, {Number{-3}, -3}, {Number{10}, 10}, {Number{99}, 99}, {Number{1155}, 1155}, {Number{9'999'999'999'999'999, 0}, 9'999'999'999'999'999}, {Number{9'999'999'999'999'999, 1}, 99'999'999'999'999'990}, {Number{9'999'999'999'999'999, 2}, 999'999'999'999'999'900}, {Number{-9'999'999'999'999'999, 2}, -999'999'999'999'999'900}, {Number{15, -1}, 1}, {Number{14, -1}, 1}, {Number{16, -1}, 1}, {Number{25, -1}, 2}, {Number{6, -1}, 0}, {Number{5, -1}, 0}, {Number{4, -1}, 0}, {Number{-15, -1}, -2}, {Number{-14, -1}, -2}, {Number{-16, -1}, -2}, {Number{-25, -1}, -3}, {Number{-6, -1}, -1}, {Number{-5, -1}, -1}, {Number{-4, -1}, -1}}; for (auto const& [x, y] : c) { auto j = static_cast(x); BEAST_EXPECT(j == y); } } prev_mode = Number::setround(Number::upward); BEAST_EXPECT(prev_mode == Number::downward); { Case c[]{ {Number{0}, 0}, {Number{1}, 1}, {Number{2}, 2}, {Number{3}, 3}, {Number{-1}, -1}, {Number{-2}, -2}, {Number{-3}, -3}, {Number{10}, 10}, {Number{99}, 99}, {Number{1155}, 1155}, {Number{9'999'999'999'999'999, 0}, 9'999'999'999'999'999}, {Number{9'999'999'999'999'999, 1}, 99'999'999'999'999'990}, {Number{9'999'999'999'999'999, 2}, 999'999'999'999'999'900}, {Number{-9'999'999'999'999'999, 2}, -999'999'999'999'999'900}, {Number{15, -1}, 2}, {Number{14, -1}, 2}, {Number{16, -1}, 2}, {Number{25, -1}, 3}, {Number{6, -1}, 1}, {Number{5, -1}, 1}, {Number{4, -1}, 1}, {Number{-15, -1}, -1}, {Number{-14, -1}, -1}, {Number{-16, -1}, -1}, {Number{-25, -1}, -2}, {Number{-6, -1}, 0}, {Number{-5, -1}, 0}, {Number{-4, -1}, 0}}; for (auto const& [x, y] : c) { auto j = static_cast(x); BEAST_EXPECT(j == y); } } bool caught = false; try { (void)static_cast(Number{9223372036854776, 3}); } catch (std::overflow_error const&) { caught = true; } BEAST_EXPECT(caught); } void test_squelch() { testcase << "test_squelch " << to_string(Number::getMantissaScale()); Number limit{1, -6}; BEAST_EXPECT((squelch(Number{2, -6}, limit) == Number{2, -6})); BEAST_EXPECT((squelch(Number{1, -6}, limit) == Number{1, -6})); BEAST_EXPECT((squelch(Number{9, -7}, limit) == Number{0})); BEAST_EXPECT((squelch(Number{-2, -6}, limit) == Number{-2, -6})); BEAST_EXPECT((squelch(Number{-1, -6}, limit) == Number{-1, -6})); BEAST_EXPECT((squelch(Number{-9, -7}, limit) == Number{0})); } void testToString() { auto const scale = Number::getMantissaScale(); testcase << "testToString " << to_string(scale); auto test = [this](Number const& n, std::string const& expected) { auto const result = to_string(n); std::stringstream ss; ss << "to_string(" << result << "). Expected: " << expected; BEAST_EXPECTS(result == expected, ss.str()); }; test(Number(-2, 0), "-2"); test(Number(0, 0), "0"); test(Number(2, 0), "2"); test(Number(25, -3), "0.025"); test(Number(-25, -3), "-0.025"); test(Number(25, 1), "250"); test(Number(-25, 1), "-250"); test(Number(2, 20), "2e20"); test(Number(-2, -20), "-2e-20"); // Test the edges // ((exponent < -(25)) || (exponent > -(5))))) // or ((exponent < -(28)) || (exponent > -(8))))) test(Number(2, -10), "0.0000000002"); test(Number(2, -11), "2e-11"); test(Number(-2, 10), "-20000000000"); test(Number(-2, 11), "-2e11"); switch (scale) { case MantissaRange::small: test(Number::min(), "1e-32753"); test(Number::max(), "9999999999999999e32768"); test(Number::lowest(), "-9999999999999999e32768"); { NumberRoundModeGuard mg(Number::towards_zero); auto const maxMantissa = Number::maxMantissa(); BEAST_EXPECT(maxMantissa == 9'999'999'999'999'999); test(Number{false, maxMantissa * 1000 + 999, -3, Number::normalized()}, "9999999999999999"); test(Number{true, maxMantissa * 1000 + 999, -3, Number::normalized()}, "-9999999999999999"); test(Number{std::numeric_limits::max(), -3}, "9223372036854775"); test(-(Number{std::numeric_limits::max(), -3}), "-9223372036854775"); test(Number{std::numeric_limits::min(), 0}, "-9223372036854775e3"); test(-(Number{std::numeric_limits::min(), 0}), "9223372036854775e3"); } break; case MantissaRange::large: // Test the edges // ((exponent < -(28)) || (exponent > -(8))))) test(Number::min(), "1e-32750"); test(Number::max(), "9223372036854775807e32768"); test(Number::lowest(), "-9223372036854775807e32768"); { NumberRoundModeGuard mg(Number::towards_zero); auto const maxMantissa = Number::maxMantissa(); BEAST_EXPECT(maxMantissa == 9'999'999'999'999'999'999ULL); test(Number{false, maxMantissa, 0, Number::normalized{}}, "9999999999999999990"); test(Number{true, maxMantissa, 0, Number::normalized{}}, "-9999999999999999990"); test(Number{std::numeric_limits::max(), 0}, "9223372036854775807"); test(-(Number{std::numeric_limits::max(), 0}), "-9223372036854775807"); // Because the absolute value of min is larger than max, it // will be scaled down to fit under max. Since we're // rounding towards zero, the 8 at the end is dropped. test(Number{std::numeric_limits::min(), 0}, "-9223372036854775800"); test(-(Number{std::numeric_limits::min(), 0}), "9223372036854775800"); } test(Number{std::numeric_limits::max(), 0} + 1, "9223372036854775810"); test(-(Number{std::numeric_limits::max(), 0} + 1), "-9223372036854775810"); break; default: BEAST_EXPECT(false); } } void test_relationals() { testcase << "test_relationals " << to_string(Number::getMantissaScale()); BEAST_EXPECT(!(Number{100} < Number{10})); BEAST_EXPECT(Number{100} > Number{10}); BEAST_EXPECT(Number{100} >= Number{10}); BEAST_EXPECT(!(Number{100} <= Number{10})); } void test_stream() { testcase << "test_stream " << to_string(Number::getMantissaScale()); Number x{100}; std::ostringstream os; os << x; BEAST_EXPECT(os.str() == to_string(x)); } void test_inc_dec() { testcase << "test_inc_dec " << to_string(Number::getMantissaScale()); Number x{100}; Number y = +x; BEAST_EXPECT(x == y); BEAST_EXPECT(x++ == y); BEAST_EXPECT(x == Number{101}); BEAST_EXPECT(x-- == Number{101}); BEAST_EXPECT(x == y); } void test_toSTAmount() { NumberSO stNumberSO{true}; Issue const issue; Number const n{7'518'783'80596, -5}; saveNumberRoundMode const save{Number::setround(Number::to_nearest)}; auto res2 = STAmount{issue, n}; BEAST_EXPECT(res2 == STAmount{7518784}); Number::setround(Number::towards_zero); res2 = STAmount{issue, n}; BEAST_EXPECT(res2 == STAmount{7518783}); Number::setround(Number::downward); res2 = STAmount{issue, n}; BEAST_EXPECT(res2 == STAmount{7518783}); Number::setround(Number::upward); res2 = STAmount{issue, n}; BEAST_EXPECT(res2 == STAmount{7518784}); } void test_truncate() { BEAST_EXPECT(Number(25, +1).truncate() == Number(250, 0)); BEAST_EXPECT(Number(25, 0).truncate() == Number(25, 0)); BEAST_EXPECT(Number(25, -1).truncate() == Number(2, 0)); BEAST_EXPECT(Number(25, -2).truncate() == Number(0, 0)); BEAST_EXPECT(Number(99, -2).truncate() == Number(0, 0)); BEAST_EXPECT(Number(-25, +1).truncate() == Number(-250, 0)); BEAST_EXPECT(Number(-25, 0).truncate() == Number(-25, 0)); BEAST_EXPECT(Number(-25, -1).truncate() == Number(-2, 0)); BEAST_EXPECT(Number(-25, -2).truncate() == Number(0, 0)); BEAST_EXPECT(Number(-99, -2).truncate() == Number(0, 0)); BEAST_EXPECT(Number(0, 0).truncate() == Number(0, 0)); BEAST_EXPECT(Number(0, 30000).truncate() == Number(0, 0)); BEAST_EXPECT(Number(0, -30000).truncate() == Number(0, 0)); BEAST_EXPECT(Number(100, -30000).truncate() == Number(0, 0)); BEAST_EXPECT(Number(100, -30000).truncate() == Number(0, 0)); BEAST_EXPECT(Number(-100, -30000).truncate() == Number(0, 0)); BEAST_EXPECT(Number(-100, -30000).truncate() == Number(0, 0)); } void testRounding() { // Test that rounding works as expected. testcase("Rounding"); using NumberRoundings = std::map; std::map const expected{ // Positive numbers {Number{13, -1}, {{Number::to_nearest, 1}, {Number::towards_zero, 1}, {Number::downward, 1}, {Number::upward, 2}}}, {Number{23, -1}, {{Number::to_nearest, 2}, {Number::towards_zero, 2}, {Number::downward, 2}, {Number::upward, 3}}}, {Number{15, -1}, {{Number::to_nearest, 2}, {Number::towards_zero, 1}, {Number::downward, 1}, {Number::upward, 2}}}, {Number{25, -1}, {{Number::to_nearest, 2}, {Number::towards_zero, 2}, {Number::downward, 2}, {Number::upward, 3}}}, {Number{152, -2}, {{Number::to_nearest, 2}, {Number::towards_zero, 1}, {Number::downward, 1}, {Number::upward, 2}}}, {Number{252, -2}, {{Number::to_nearest, 3}, {Number::towards_zero, 2}, {Number::downward, 2}, {Number::upward, 3}}}, {Number{17, -1}, {{Number::to_nearest, 2}, {Number::towards_zero, 1}, {Number::downward, 1}, {Number::upward, 2}}}, {Number{27, -1}, {{Number::to_nearest, 3}, {Number::towards_zero, 2}, {Number::downward, 2}, {Number::upward, 3}}}, // Negative numbers {Number{-13, -1}, {{Number::to_nearest, -1}, {Number::towards_zero, -1}, {Number::downward, -2}, {Number::upward, -1}}}, {Number{-23, -1}, {{Number::to_nearest, -2}, {Number::towards_zero, -2}, {Number::downward, -3}, {Number::upward, -2}}}, {Number{-15, -1}, {{Number::to_nearest, -2}, {Number::towards_zero, -1}, {Number::downward, -2}, {Number::upward, -1}}}, {Number{-25, -1}, {{Number::to_nearest, -2}, {Number::towards_zero, -2}, {Number::downward, -3}, {Number::upward, -2}}}, {Number{-152, -2}, {{Number::to_nearest, -2}, {Number::towards_zero, -1}, {Number::downward, -2}, {Number::upward, -1}}}, {Number{-252, -2}, {{Number::to_nearest, -3}, {Number::towards_zero, -2}, {Number::downward, -3}, {Number::upward, -2}}}, {Number{-17, -1}, {{Number::to_nearest, -2}, {Number::towards_zero, -1}, {Number::downward, -2}, {Number::upward, -1}}}, {Number{-27, -1}, {{Number::to_nearest, -3}, {Number::towards_zero, -2}, {Number::downward, -3}, {Number::upward, -2}}}, }; for (auto const& [num, roundings] : expected) { for (auto const& [mode, val] : roundings) { NumberRoundModeGuard g{mode}; auto const res = static_cast(num); BEAST_EXPECTS( res == val, to_string(num) + " with mode " + std::to_string(mode) + " expected " + std::to_string(val) + " got " + std::to_string(res)); } } } void testInt64() { auto const scale = Number::getMantissaScale(); testcase << "std::int64_t " << to_string(scale); // Control case BEAST_EXPECT(Number::maxMantissa() > 10); Number ten{10}; BEAST_EXPECT(ten.exponent() <= 0); if (scale == MantissaRange::small) { BEAST_EXPECT(std::numeric_limits::max() > INITIAL_XRP.drops()); BEAST_EXPECT(Number::maxMantissa() < INITIAL_XRP.drops()); Number const initalXrp{INITIAL_XRP}; BEAST_EXPECT(initalXrp.exponent() > 0); Number const maxInt64{Number::maxRep}; BEAST_EXPECT(maxInt64.exponent() > 0); // 85'070'591'730'234'615'865'843'651'857'942'052'864 - 38 digits BEAST_EXPECT((power(maxInt64, 2) == Number{85'070'591'730'234'62, 22})); Number const max = Number{false, Number::maxMantissa(), 0, Number::normalized{}}; BEAST_EXPECT(max.exponent() <= 0); // 99'999'999'999'999'980'000'000'000'000'001 - 32 digits BEAST_EXPECT((power(max, 2) == Number{99'999'999'999'999'98, 16})); } else { BEAST_EXPECT(std::numeric_limits::max() > INITIAL_XRP.drops()); BEAST_EXPECT(Number::maxMantissa() > INITIAL_XRP.drops()); Number const initalXrp{INITIAL_XRP}; BEAST_EXPECT(initalXrp.exponent() <= 0); Number const maxInt64{Number::maxRep}; BEAST_EXPECT(maxInt64.exponent() <= 0); // 85'070'591'730'234'615'847'396'907'784'232'501'249 - 38 digits BEAST_EXPECT((power(maxInt64, 2) == Number{85'070'591'730'234'615'85, 19})); NumberRoundModeGuard mg(Number::towards_zero); auto const maxMantissa = Number::maxMantissa(); Number const max = Number{false, maxMantissa, 0, Number::normalized{}}; BEAST_EXPECT(max.mantissa() == maxMantissa / 10); BEAST_EXPECT(max.exponent() == 1); // 99'999'999'999'999'999'800'000'000'000'000'000'100 - also 38 // digits BEAST_EXPECT((power(max, 2) == Number{false, maxMantissa / 10 - 1, 20, Number::normalized{}})); } } void run() override { for (auto const scale : {MantissaRange::small, MantissaRange::large}) { NumberMantissaScaleGuard sg(scale); testZero(); test_limits(); testToString(); test_add(); test_sub(); test_mul(); test_div(); test_root(); test_root2(); test_power1(); test_power2(); testConversions(); test_to_integer(); test_squelch(); test_relationals(); test_stream(); test_inc_dec(); test_toSTAmount(); test_truncate(); testRounding(); testInt64(); } } }; BEAST_DEFINE_TESTSUITE(Number, basics, xrpl); } // namespace xrpl