#include #include #include using namespace Poincare; QUIZ_CASE(poincare_integer) { assert(Integer(123).isEqualTo(Integer(123))); assert(Integer("123").isEqualTo(Integer(123))); assert(!Integer("-123").isEqualTo(Integer(123))); assert(Integer("-123").isEqualTo(Integer(-123))); assert(Integer((int64_t)1234567891011121314).isEqualTo(Integer((int64_t)1234567891011121314))); //FIXME: assert(Integer("0x2BABE") == Integer(178878)); //FIXME: assert(Integer("0b1011") == Integer(11)); } QUIZ_CASE(poincare_integer_compare) { assert(Integer(123).isLowerThan(Integer(456))); assert(!Integer(123).isLowerThan(Integer(123))); assert(!Integer(-123).isLowerThan(Integer(-123))); assert(Integer(-100).isLowerThan(Integer(2))); assert(Integer(-200).isLowerThan(Integer(-100))); assert(Integer(123).isLowerThan(Integer("123456789123456789"))); assert(Integer(-123).isLowerThan(Integer("123456789123456789"))); assert(Integer("123456789123456788").isLowerThan(Integer("123456789123456789"))); assert(Integer("-1234567891234567892109209109").isLowerThan(Integer("123456789123456789"))); assert(!Integer("123456789123456789").isLowerThan(Integer("123456789123456788"))); } QUIZ_CASE(poincare_integer_addition) { assert(Integer::Addition(Integer("0"), Integer("0")).isEqualTo(Integer(0))); assert(Integer::Addition(Integer(123), Integer(456)).isEqualTo(Integer(579))); assert(Integer::Addition(Integer("123456789123456789"), Integer(1)).isEqualTo(Integer("123456789123456790"))); assert(Integer::Addition(Integer("-123456789123456789"), Integer("123456789123456789")).isEqualTo(Integer("0"))); assert(Integer::Addition(Integer("234"), Integer(-234)).isEqualTo(Integer(0))); assert(Integer::Addition(Integer("18446744073709551616"), Integer("18446744073709551368")).isEqualTo(Integer("36893488147419102984"))); //2^64+2^64 assert(Integer::Addition(Integer("18446744073709551616"), Integer("18446744073709551616")).isEqualTo(Integer("36893488147419103232"))); //2^64+2^32 assert(Integer::Addition(Integer("18446744073709551616"), Integer("4294967296")).isEqualTo(Integer("18446744078004518912"))); //2^64+1 assert(Integer::Addition(Integer("18446744073709551616"), Integer("1")).isEqualTo(Integer("18446744073709551617"))); //2^32+2^32 assert(Integer::Addition(Integer("4294967296"), Integer("4294967296")).isEqualTo(Integer("8589934592"))); //2^32+1 assert(Integer::Addition(Integer("4294967296"), Integer("1")).isEqualTo(Integer("4294967297"))); //2^16+1 assert(Integer::Addition(Integer("65537"), Integer("1")).isEqualTo(Integer("65538"))); //2^16+2^16 assert(Integer::Addition(Integer("65537"), Integer("65537")).isEqualTo(Integer("131074"))); } QUIZ_CASE(poincare_integer_subtraction) { assert(Integer::Subtraction(Integer(123), Integer(23)).isEqualTo(Integer(100))); assert(Integer::Subtraction(Integer("123456789123456789"), Integer("9999999999")).isEqualTo(Integer("123456779123456790"))); assert(Integer::Subtraction(Integer(23), Integer(100)).isEqualTo(Integer(-77))); assert(Integer::Subtraction(Integer(23), Integer(23)).isEqualTo(Integer(0))); assert(Integer::Subtraction(Integer(-23), Integer(-23)).isEqualTo(Integer(0))); assert(Integer::Subtraction(Integer("-123456789123456789"), Integer("-123456789123456789")).isEqualTo(Integer(0))); assert(Integer::Subtraction(Integer("123456789123456789"), Integer("123456789123456789")).isEqualTo(Integer(0))); assert(Integer::Subtraction(Integer("18446744073709551616"), Integer("18446744073709551368")).isEqualTo(Integer(248))); //2^64-2^64 assert(Integer::Subtraction(Integer("18446744073709551616"), Integer("18446744073709551616")).isEqualTo(Integer("0"))); //2^64-2^32 assert(Integer::Subtraction(Integer("18446744073709551616"), Integer("4294967296")).isEqualTo(Integer("18446744069414584320"))); //2^32-2^64 assert(Integer::Subtraction(Integer("4294967296"), Integer("18446744073709551616")).isEqualTo(Integer("-18446744069414584320"))); //2^64-1 assert(Integer::Subtraction(Integer("18446744073709551616"), Integer("1")).isEqualTo(Integer("18446744073709551615"))); //1-2^64 assert(Integer::Subtraction(Integer("1"), Integer("18446744073709551616")).isEqualTo(Integer("-18446744073709551615"))); //2^32-2^32 assert(Integer::Subtraction(Integer("4294967296"), Integer("4294967296")).isEqualTo(Integer("0"))); //2^32-1 assert(Integer::Subtraction(Integer("4294967296"), Integer("1")).isEqualTo(Integer("4294967295"))); //2^16-1 assert(Integer::Subtraction(Integer("65537"), Integer("1")).isEqualTo(Integer("65536"))); //2^16-2^16 assert(Integer::Subtraction(Integer("65537"), Integer("65537")).isEqualTo(Integer("0"))); } QUIZ_CASE(poincare_integer_multiplication) { assert(Integer::Multiplication(Integer(12), Integer(34)).isEqualTo(Integer(408))); assert(Integer::Multiplication(Integer(56), Integer(0)).isEqualTo(Integer(0))); assert(Integer::Multiplication(Integer(-12), Integer(34)).isEqualTo(Integer(-408))); assert(Integer::Multiplication(Integer(-12), Integer(-34)).isEqualTo(Integer(408))); assert(Integer::Multiplication(Integer(123456), Integer(654321)).isEqualTo(Integer("80779853376"))); assert(Integer::Multiplication(Integer("9999999999"), Integer("9999999999")).isEqualTo(Integer("99999999980000000001"))); assert(Integer::Multiplication(Integer("-23"), Integer("0")).isEqualTo(Integer("0"))); assert(Integer::Multiplication(Integer("-23456787654567765456"), Integer("0")).isEqualTo(Integer("0"))); } QUIZ_CASE(poincare_integer_divide) { assert(Integer::Division(Integer(8), Integer(4)).quotient.isEqualTo(Integer(2)) && Integer::Division(Integer(8), Integer(4)).remainder.isEqualTo(Integer(0))); assert(Integer::Division(Integer("3293920983030066"), Integer(38928)).quotient.isEqualTo(Integer("84615726033")) && Integer::Division(Integer("3293920983030066"), Integer(38928)).remainder.isEqualTo(Integer(17442))); assert(Integer::Division(Integer("3293920983030066"), Integer("389282362616")).quotient.isEqualTo(Integer(8461)) && Integer::Division(Integer("3293920983030066"), Integer("389282362616")).remainder.isEqualTo(Integer("202912936090"))); assert(Integer::Division(Integer("-18940566"), Integer("499030")).quotient.isEqualTo(Integer(-38)) && Integer::Division(Integer("-18940566"), Integer("499030")).remainder.isEqualTo(Integer("22574"))); assert(Integer::Division(Integer("234567909876"), Integer("-234567898")).quotient.isEqualTo(Integer(-1000)) && Integer::Division(Integer("234567909876"), Integer("-234567898")).remainder.isEqualTo(Integer("11876"))); assert(Integer::Division(Integer("-567"), Integer("-12")).quotient.isEqualTo(Integer(48)) && Integer::Division(Integer("-567"), Integer("-12")).remainder.isEqualTo(Integer("9"))); assert(Integer::Division(Integer("-576"), Integer("-12")).quotient.isEqualTo(Integer(48)) && Integer::Division(Integer("-576"), Integer("-12")).remainder.isEqualTo(Integer("0"))); assert(Integer::Division(Integer("576"), Integer("-12")).quotient.isEqualTo(Integer(-48)) && Integer::Division(Integer("576"), Integer("-12")).remainder.isEqualTo(Integer("0"))); assert(Integer::Division(Integer("-576"), Integer("12")).quotient.isEqualTo(Integer(-48)) && Integer::Division(Integer("-576"), Integer("12")).remainder.isEqualTo(Integer("0"))); assert(Integer::Division(Integer("12345678910111213141516171819202122232425"), Integer("10")).remainder.isEqualTo(Integer("5"))); assert(Integer::Division(Integer("12345678910111213141516171819202122232425"), Integer("10")).quotient.isEqualTo(Integer("1234567891011121314151617181920212223242"))); assert(Integer::Division(Integer("1234567891011121314151617181920212223242"), Integer("10")).quotient.isEqualTo(Integer("123456789101112131415161718192021222324")) && Integer::Division(Integer("1234567891011121314151617181920212223242"), Integer("10")).remainder.isEqualTo(Integer("2"))); assert(Integer::Division(Integer("123456789101112131415161718192021222324"), Integer("10")).quotient.isEqualTo(Integer("12345678910111213141516171819202122232")) && Integer::Division(Integer("123456789101112131415161718192021222324"), Integer("10")).remainder.isEqualTo(Integer("4"))); assert(Integer::Division(Integer("12345678910111213141516171819202122232"), Integer("10")).quotient.isEqualTo(Integer("1234567891011121314151617181920212223")) && Integer::Division(Integer("12345678910111213141516171819202122232"), Integer("10")).remainder.isEqualTo(Integer("2"))); assert(Integer::Division(Integer("1234567891011121314151617181920212223"), Integer("10")).quotient.isEqualTo(Integer("123456789101112131415161718192021222")) && Integer::Division(Integer("1234567891011121314151617181920212223"), Integer("10")).remainder.isEqualTo(Integer("3"))); assert(Integer::Division(Integer("123456789101112131415161718192021222"), Integer("10")).quotient.isEqualTo(Integer("12345678910111213141516171819202122")) && Integer::Division(Integer("123456789101112131415161718192021222"), Integer("10")).remainder.isEqualTo(Integer("2"))); assert(Integer::Division(Integer("12345678910111213141516171819202122"), Integer("10")).quotient.isEqualTo(Integer("1234567891011121314151617181920212")) && Integer::Division(Integer("12345678910111213141516171819202122"), Integer("10")).remainder.isEqualTo(Integer("2"))); assert(Integer::Division(Integer("0"), Integer("-10")).quotient.isEqualTo(Integer("0")) && Integer::Division(Integer("0"), Integer("-10")).remainder.isEqualTo(Integer("0"))); assert(Integer::Division(Integer("0"), Integer("-123456789098760")).quotient.isEqualTo(Integer("0")) && Integer::Division(Integer("0"), Integer("-123456789098760")).remainder.isEqualTo(Integer("0"))); assert(Integer::Division(Integer("2305843009213693952"), Integer("2305843009213693921")).quotient.isEqualTo(Integer("1")) && Integer::Division(Integer("2305843009213693952"), Integer("2305843009213693921")).remainder.isEqualTo(Integer("31"))); } template void assert_integer_evals_to(int i, T result) { assert(Integer(i).approximate() == result); } QUIZ_CASE(poincare_integer_evaluate) { assert_integer_evals_to(1, 1.0f); assert_integer_evals_to(12345678, 12345678.0); assert_integer_evals_to(0, 0.0f); assert_integer_evals_to(-0, 0.0); assert_integer_evals_to(-1, -1.0f); assert_integer_evals_to(12345678, 12345678.0); }