#include <library/cpp/testing/unittest/registar.h>
#include <library/cpp/int128/int128.h>
#include <util/generic/cast.h>
Y_UNIT_TEST_SUITE(I128DivisionBy1Suite) {
Y_UNIT_TEST(I128Divide0By1) {
i128 dividend = 0;
i128 divider = 1;
i128 expectedQuotient = 0;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide1By1) {
i128 dividend = 1;
i128 divider = 1;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide2By1) {
i128 dividend = 2;
i128 divider = 1;
i128 expectedQuotient = 2;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide42By1) {
i128 dividend = 42;
i128 divider = 1;
i128 expectedQuotient = 42;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64By1) {
i128 dividend = std::numeric_limits<ui64>::max();
i128 divider = 1;
i128 expectedQuotient = std::numeric_limits<ui64>::max();
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64Plus1By1) {
i128 dividend = i128{std::numeric_limits<ui64>::max()} + i128{1};
i128 divider = 1;
i128 expectedQuotient = i128{std::numeric_limits<ui64>::max()} + i128{1};
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64Plus42By1) {
i128 dividend = i128{std::numeric_limits<ui64>::max()} + i128{42};
i128 divider = 1;
i128 expectedQuotient = i128{std::numeric_limits<ui64>::max()} + i128{42};
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxI128By1) {
i128 dividend = std::numeric_limits<i128>::max();
i128 divider = 1;
i128 expectedQuotient = std::numeric_limits<i128>::max();
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxI128Minus1By1) {
i128 dividend = std::numeric_limits<i128>::max() - 1;
i128 divider = 1;
i128 expectedQuotient = std::numeric_limits<i128>::max() - 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
}
Y_UNIT_TEST_SUITE(I128DivisionByEqualSuite) {
Y_UNIT_TEST(I128Divide1ByEqual) {
i128 dividend = 1;
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide2ByEqual) {
i128 dividend = 2;
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide42ByEqual) {
i128 dividend = 42;
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64ByEqual) {
i128 dividend = std::numeric_limits<ui64>::max();
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64Plus1ByEqual) {
i128 dividend = i128{std::numeric_limits<ui64>::max()} + i128{1};
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64Plus42ByEqual) {
i128 dividend = i128{std::numeric_limits<ui64>::max()} + i128{42};
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxI128ByEqual) {
i128 dividend = std::numeric_limits<i128>::max();
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxI128Minus1ByEqual) {
i128 dividend = std::numeric_limits<i128>::max() - 1;
i128 divider = dividend;
i128 expectedQuotient = 1;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
}
Y_UNIT_TEST_SUITE(I128DivisionLessByHigherSuite) {
Y_UNIT_TEST(I128Divide42By84) {
i128 dividend = 42;
i128 divider = 84;
i128 expectedQuotient = 0;
i128 expectedRemainder = 42;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide42ByMaxUi64) {
i128 dividend = 42;
i128 divider = std::numeric_limits<ui64>::max();
i128 expectedQuotient = 0;
i128 expectedRemainder = 42;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128Divide42ByMaxUi64Plus1) {
i128 dividend = 42;
i128 divider = i128{std::numeric_limits<ui64>::max()} + i128{1};
i128 expectedQuotient = 0;
i128 expectedRemainder = 42;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(I128DivideMaxUi64ByMaxUi64Plus1) {
i128 dividend = i128{std::numeric_limits<ui64>::max()};
i128 divider = i128{std::numeric_limits<ui64>::max()} + i128{1};
i128 expectedQuotient = 0;
i128 expectedRemainder = i128{std::numeric_limits<ui64>::max()};
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
}
Y_UNIT_TEST_SUITE(I128DivisionWithDifferentSigns) {
Y_UNIT_TEST(DivisionPositiveByNegative) {
i128 dividend = i128{100};
i128 divider = i128{-33};
i128 expectedQuotient = -3;
i128 expectedRemainder = 1;
i128 quotient = dividend / divider;
i128 remainder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(remainder, expectedRemainder);
}
Y_UNIT_TEST(DivisionNegativeByPositive) {
i128 dividend = i128{-100};
i128 divider = i128{33};
i128 expectedQuotient = -3;
i128 expectedRemainder = -1;
i128 quotient = dividend / divider;
i128 remainder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(remainder, expectedRemainder);
}
Y_UNIT_TEST(DivisionNegativeByNegative) {
i128 dividend = i128{-100};
i128 divider = i128{-33};
i128 expectedQuotient = 3;
i128 expectedRemainder = -1;
i128 quotient = dividend / divider;
i128 remainder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(remainder, expectedRemainder);
}
}
Y_UNIT_TEST_SUITE(i128DivisionBigByBigSuite) {
Y_UNIT_TEST(i128DivideBigByBig1) {
i128 dividend = {64, 0};
i128 divider = {1, 0};
i128 expectedQuotient = 64;
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig1_PosByNeg) {
i128 dividend = i128{64, 0};
i128 divider = -i128{1, 0};
i128 expectedQuotient = -i128{64};
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig1_NegByPos) {
i128 dividend = -i128{64, 0};
i128 divider = i128{1, 0};
i128 expectedQuotient = -i128{64};
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig1_NegByNeg) {
i128 dividend = -i128{64, 0};
i128 divider = -i128{1, 0};
i128 expectedQuotient = i128{64};
i128 expectedRemainder = 0;
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig2) {
i128 dividend = {64, 0};
i128 divider = {12, 5};
i128 expectedQuotient = 5;
i128 expectedRemainder = i128{3, 18446744073709551591ull}; // plz don't ask
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig2_PosByNeg) {
i128 dividend = i128{64, 0};
i128 divider = -i128{12, 5};
i128 expectedQuotient = -5;
i128 expectedRemainder = i128{3, 18446744073709551591ull};
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig2_NegByPos) {
i128 dividend = -i128{64, 0};
i128 divider = i128{12, 5};
i128 expectedQuotient = -5;
i128 expectedRemainder = -i128{3, 18446744073709551591ull};
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
Y_UNIT_TEST(i128DivideBigByBig2_NegByNeg) {
i128 dividend = -i128{64, 0};
i128 divider = -i128{12, 5};
i128 expectedQuotient = 5;
i128 expectedRemainder = -i128{3, 18446744073709551591ull};
UNIT_ASSERT_EQUAL(dividend / divider, expectedQuotient);
UNIT_ASSERT_EQUAL(dividend % divider, expectedRemainder);
}
}
Y_UNIT_TEST_SUITE(i128DivisionAlgo) {
Y_UNIT_TEST(ii128DivideAlgoCheck_PosByPos) {
/*
49672666804009505000000 / 10000000 == 4967266680400950
49672666804009505000000 % 10000000 == 5000000
*/
i128 dividend = {2692ull, 14031757583392049728ull};
i64 divider = 10000000;
i128 expectedQuotient = {0, 4967266680400950ull};
i128 expectedRemainder = {0, 5000000ull};
i128 quotient = dividend / divider;
i128 reminder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(reminder, expectedRemainder);
}
Y_UNIT_TEST(ii128DivideAlgoCheck_PosByNeg) {
/*
49672666804009505000000 / -10000000 == -4967266680400950
49672666804009505000000 % -10000000 == 5000000
*/
i128 dividend = {2692ull, 14031757583392049728ull};
i64 divider = -10000000;
i128 expectedQuotient = -i128{0, 4967266680400950ull};
i128 expectedRemainder = {0, 5000000ull};
i128 quotient = dividend / divider;
i128 reminder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(reminder, expectedRemainder);
}
Y_UNIT_TEST(ii128DivideAlgoCheck_NegByPos) {
/*
-49672666804009505000000 / 10000000 == -4967266680400950
-49672666804009505000000 % 10000000 == -5000000
*/
i128 dividend = -i128{2692ull, 14031757583392049728ull};
i64 divider = 10000000;
i128 expectedQuotient = -i128{0, 4967266680400950ull};
i128 expectedRemainder = -i128{0, 5000000ull};
i128 quotient = dividend / divider;
i128 reminder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(reminder, expectedRemainder);
}
Y_UNIT_TEST(ii128DivideAlgoCheck_NegByNeg) {
/*
-49672666804009505000000 / -10000000 == 4967266680400950
-49672666804009505000000 % -10000000 == -5000000
*/
i128 dividend = -i128{2692ull, 14031757583392049728ull};
i64 divider = -10000000;
i128 expectedQuotient = {0, 4967266680400950ull};
i128 expectedRemainder = -i128{0, 5000000ull};
i128 quotient = dividend / divider;
i128 reminder = dividend % divider;
UNIT_ASSERT_EQUAL(quotient, expectedQuotient);
UNIT_ASSERT_EQUAL(reminder, expectedRemainder);
}
}