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Number_test.cpp
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Number_test.cpp
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//------------------------------------------------------------------------------
/*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2022 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#include <ripple/basics/IOUAmount.h>
#include <ripple/basics/Number.h>
#include <ripple/beast/unit_test.h>
#include <ripple/protocol/STAmount.h>
#include <sstream>
#include <tuple>
namespace ripple {
class Number_test : public beast::unit_test::suite
{
public:
void
testZero()
{
testcase("zero");
Number const z{0, 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()
{
testcase("test_limits");
bool caught = false;
try
{
Number x{10'000'000'000'000'000, 32768};
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
Number x{10'000'000'000'000'000, 32767};
BEAST_EXPECT((x == Number{1'000'000'000'000'000, 32768}));
Number z{1'000'000'000'000'000, -32769};
BEAST_EXPECT(z == Number{});
Number y{1'000'000'000'000'001'500, 32000};
BEAST_EXPECT((y == Number{1'000'000'000'000'002, 32003}));
Number m{std::numeric_limits<std::int64_t>::min()};
BEAST_EXPECT((m == Number{-9'223'372'036'854'776, 3}));
Number M{std::numeric_limits<std::int64_t>::max()};
BEAST_EXPECT((M == Number{9'223'372'036'854'776, 3}));
caught = false;
try
{
Number q{99'999'999'999'999'999, 32767};
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
}
void
test_add()
{
testcase("test_add");
using Case = std::tuple<Number, Number, Number>;
Case c[]{
{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{5'555'555'555'555'555, -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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x + y == z);
bool caught = false;
try
{
Number{9'999'999'999'999'999, 32768} +
Number{5'000'000'000'000'000, 32767};
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
}
void
test_sub()
{
testcase("test_sub");
using Case = std::tuple<Number, Number, Number>;
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x - y == z);
}
void
test_mul()
{
testcase("test_mul");
using Case = std::tuple<Number, Number, Number>;
saveNumberRoundMode save{Number::setround(Number::to_nearest)};
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x * y == z);
}
Number::setround(Number::towards_zero);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x * y == z);
}
Number::setround(Number::downward);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x * y == z);
}
Number::setround(Number::upward);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x * y == z);
}
bool caught = false;
try
{
Number{9'999'999'999'999'999, 32768} *
Number{5'000'000'000'000'000, 32767};
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
}
void
test_div()
{
testcase("test_div");
using Case = std::tuple<Number, Number, Number>;
saveNumberRoundMode save{Number::setround(Number::to_nearest)};
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x / y == z);
}
Number::setround(Number::towards_zero);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x / y == z);
}
Number::setround(Number::downward);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x / y == z);
}
Number::setround(Number::upward);
{
Case c[]{
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT(x / y == z);
}
bool caught = false;
try
{
Number{1000000000000000, -15} / Number{0};
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
}
void
test_root()
{
testcase("test_root");
using Case = std::tuple<Number, unsigned, Number>;
Case c[]{
{Number{2}, 2, Number{1414213562373095, -15}},
{Number{2'000'000}, 2, Number{1414213562373095, -12}},
{Number{2, -30}, 2, Number{1414213562373095, -30}},
{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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT((root(x, y) == z));
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_power1()
{
testcase("test_power1");
using Case = std::tuple<Number, unsigned, Number>;
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}}};
for (auto const& [x, y, z] : c)
BEAST_EXPECT((power(x, y) == z));
}
void
test_power2()
{
testcase("test_power2");
using Case = std::tuple<Number, unsigned, unsigned, Number>;
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");
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");
using Case = std::tuple<Number, std::int64_t>;
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<std::int64_t>(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<std::int64_t>(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<std::int64_t>(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<std::int64_t>(x);
BEAST_EXPECT(j == y);
}
}
bool caught = false;
try
{
(void)static_cast<std::int64_t>(Number{9223372036854776, 3});
}
catch (std::overflow_error const&)
{
caught = true;
}
BEAST_EXPECT(caught);
}
void
test_squelch()
{
testcase("test_squelch");
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()
{
testcase("testToString");
BEAST_EXPECT(to_string(Number(-2, 0)) == "-2");
BEAST_EXPECT(to_string(Number(0, 0)) == "0");
BEAST_EXPECT(to_string(Number(2, 0)) == "2");
BEAST_EXPECT(to_string(Number(25, -3)) == "0.025");
BEAST_EXPECT(to_string(Number(-25, -3)) == "-0.025");
BEAST_EXPECT(to_string(Number(25, 1)) == "250");
BEAST_EXPECT(to_string(Number(-25, 1)) == "-250");
BEAST_EXPECT(to_string(Number(2, 20)) == "2000000000000000e5");
BEAST_EXPECT(to_string(Number(-2, -20)) == "-2000000000000000e-35");
}
void
test_relationals()
{
testcase("test_relationals");
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");
Number x{100};
std::ostringstream os;
os << x;
BEAST_EXPECT(os.str() == to_string(x));
}
void
test_inc_dec()
{
testcase("test_inc_dec");
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.mantissa(), n.exponent()};
BEAST_EXPECT(res2 == STAmount{7518784});
Number::setround(Number::towards_zero);
res2 = STAmount{issue, n.mantissa(), n.exponent()};
BEAST_EXPECT(res2 == STAmount{7518783});
Number::setround(Number::downward);
res2 = STAmount{issue, n.mantissa(), n.exponent()};
BEAST_EXPECT(res2 == STAmount{7518783});
Number::setround(Number::upward);
res2 = STAmount{issue, n.mantissa(), n.exponent()};
BEAST_EXPECT(res2 == STAmount{7518784});
}
void
run() override
{
testZero();
test_limits();
test_add();
test_sub();
test_mul();
test_div();
test_root();
test_power1();
test_power2();
testConversions();
test_to_integer();
test_squelch();
testToString();
test_relationals();
test_stream();
test_inc_dec();
test_toSTAmount();
}
};
BEAST_DEFINE_TESTSUITE(Number, ripple_basics, ripple);
} // namespace ripple