Files
Upsilon/poincare/test/integer.cpp
2018-08-14 13:21:13 +02:00

214 lines
11 KiB
C++

#include <quiz.h>
#include <poincare.h>
#include <assert.h>
#include "tree/helpers.h"
using namespace Poincare;
QUIZ_CASE(poincare_integer_constructor) {
Integer a("123");
Integer na("-123");
Integer b("12345678910111213141516");
Integer nb("-12345678910111213141516");
Integer c(12314);
Integer nc(-12314);
Integer d((int64_t)1234567891011121314);
Integer nd((int64_t)(-1234567891011121314));
Integer e = Integer::Overflow();
assert_pool_size(9);
#if POINCARE_TREE_LOG
log_pool();
#endif
}
static inline void assert_equal(const Integer i, const Integer j) {
assert(Integer::NaturalOrder(i, j) == 0);
}
static inline void assert_not_equal(const Integer i, const Integer j) {
assert(Integer::NaturalOrder(i, j) != 0);
}
static inline void assert_lower(const Integer i, const Integer j) {
assert(Integer::NaturalOrder(i, j) < 0);
}
static inline void assert_greater(const Integer i, const Integer j) {
assert(Integer::NaturalOrder(i, j) > 0);
}
QUIZ_CASE(poincare_integer_compare) {
assert_equal(Integer(123), Integer(123));
assert_equal(Integer(-123), Integer(-123));
assert_equal(Integer("123"), Integer(123));
assert_not_equal(Integer("-123"), Integer(123));
assert_equal(Integer("-123"), Integer(-123));
assert_equal(Integer((int64_t)1234567891011121314), Integer((int64_t)1234567891011121314));
assert_equal(Integer("1234567891011121314"), Integer((int64_t)1234567891011121314));
assert_not_equal(Integer("-1234567891011121314"), Integer((int64_t)1234567891011121314));
assert_lower(Integer(123), Integer(456));
assert_greater(Integer(456), Integer(123));
assert_lower(Integer(-100), Integer(2));
assert_lower(Integer(-200), Integer(-100));
assert_lower(Integer(123), Integer("123456789123456789"));
assert_lower(Integer(-123), Integer("123456789123456789"));
assert_lower(Integer("123456789123456788"), Integer("123456789123456789"));
assert_lower(Integer("-1234567891234567892109209109"), Integer("123456789123456789"));
assert_greater(Integer("123456789123456789"), Integer("123456789123456788"));
//FIXME: assert(Integer("0x2BABE") == Integer(178878));
//FIXME: assert(Integer("0b1011") == Integer(11));
}
static inline void assert_add_to(const Integer i, const Integer j, const Integer k) {
assert(Integer::NaturalOrder(Integer::Addition(i, j), k) == 0);
}
QUIZ_CASE(poincare_integer_addition) {
assert_add_to(Integer("0"), Integer("0"), Integer(0));
assert_add_to(Integer(123), Integer(456), Integer(579));
assert_add_to(Integer(123), Integer(456), Integer(579));
assert_add_to(Integer("123456789123456789"), Integer(1), Integer("123456789123456790"));
assert_add_to(Integer("-123456789123456789"), Integer("123456789123456789"), Integer("0"));
assert_add_to(Integer("234"), Integer(-234), Integer(0));
assert_add_to(Integer("18446744073709551616"), Integer("18446744073709551368"), Integer("36893488147419102984"));
//2^64+2^64
assert_add_to(Integer("18446744073709551616"), Integer("18446744073709551616"), Integer("36893488147419103232"));
//2^64+2^32
assert_add_to(Integer("18446744073709551616"), Integer("4294967296"), Integer("18446744078004518912"));
//2^64+1
assert_add_to(Integer("18446744073709551616"), Integer("1"), Integer("18446744073709551617"));
//2^32+2^32
assert_add_to(Integer("4294967296"), Integer("4294967296"), Integer("8589934592"));
//2^32+1
assert_add_to(Integer("4294967296"), Integer("1"), Integer("4294967297"));
//2^16+1
assert_add_to(Integer("65537"), Integer("1"), Integer("65538"));
//2^16+2^16
assert_add_to(Integer("65537"), Integer("65537"), Integer("131074"));
}
static inline void assert_sub_to(const Integer i, const Integer j, const Integer k) {
assert(Integer::NaturalOrder(Integer::Subtraction(i, j), k) == 0);
}
QUIZ_CASE(poincare_integer_subtraction) {
assert_sub_to(Integer(123), Integer(23), Integer(100));
assert_sub_to(Integer("123456789123456789"), Integer("9999999999"), Integer("123456779123456790"));
assert_sub_to(Integer(23), Integer(100), Integer(-77));
assert_sub_to(Integer(23), Integer(23), Integer(0));
assert_sub_to(Integer(-23), Integer(-23), Integer(0));
assert_sub_to(Integer("-123456789123456789"), Integer("-123456789123456789"), Integer(0));
assert_sub_to(Integer("123456789123456789"), Integer("123456789123456789"), Integer(0));
assert_sub_to(Integer("18446744073709551616"), Integer("18446744073709551368"), Integer(248));
//2^64-2^64
assert_sub_to(Integer("18446744073709551616"), Integer("18446744073709551616"), Integer("0"));
//2^64-2^32
assert_sub_to(Integer("18446744073709551616"), Integer("4294967296"), Integer("18446744069414584320"));
//2^32-2^64
assert_sub_to(Integer("4294967296"), Integer("18446744073709551616"), Integer("-18446744069414584320"));
//2^64-1
assert_sub_to(Integer("18446744073709551616"), Integer("1"), Integer("18446744073709551615"));
//1-2^64
assert_sub_to(Integer("1"), Integer("18446744073709551616"), Integer("-18446744073709551615"));
//2^32-2^32
assert_sub_to(Integer("4294967296"), Integer("4294967296"), Integer("0"));
//2^32-1
assert_sub_to(Integer("4294967296"), Integer("1"), Integer("4294967295"));
//2^16-1
assert_sub_to(Integer("65537"), Integer("1"), Integer("65536"));
//2^16-2^16
assert_sub_to(Integer("65537"), Integer("65537"), Integer("0"));
}
static inline void assert_mult_to(const Integer i, const Integer j, const Integer k) {
assert(Integer::NaturalOrder(Integer::Multiplication(i, j), k) == 0);
}
QUIZ_CASE(poincare_integer_multiplication) {
assert_mult_to(Integer(12), Integer(34), Integer(408));
assert_mult_to(Integer(56), Integer(0), Integer(0));
assert_mult_to(Integer(-12), Integer(34), Integer(-408));
assert_mult_to(Integer(-12), Integer(-34), Integer(408));
assert_mult_to(Integer(123456), Integer(654321), Integer("80779853376"));
assert_mult_to(Integer("9999999999"), Integer("9999999999"), Integer("99999999980000000001"));
assert_mult_to(Integer("-23"), Integer("0"), Integer("0"));
assert_mult_to(Integer("-23456787654567765456"), Integer("0"), Integer("0"));
assert_mult_to(Integer("3293920983030066"), Integer(720), Integer("2371623107781647520"));
assert_mult_to(Integer("389282362616"), Integer(720), Integer("280283301083520"));
}
static inline void assert_div_to(const Integer i, const Integer j, const Integer q, const Integer r) {
assert(Integer::NaturalOrder(Integer::Division(i, j).quotient, q) == 0);
assert(Integer::NaturalOrder(Integer::Division(i, j).remainder, r) == 0);
}
QUIZ_CASE(poincare_integer_divide) {
assert_div_to(Integer("146097313984800"), Integer(720), Integer("202912936090"), Integer(0));
assert_div_to(Integer(8), Integer(4), Integer(2), Integer(0));
assert_div_to(Integer("3293920983030066"), Integer(38928), Integer("84615726033"), Integer(17442));
assert_div_to(Integer("3293920983030066"), Integer("389282362616"), Integer(8461), Integer("202912936090"));
assert_div_to(Integer("-18940566"), Integer("499030"), Integer(-38), Integer("22574"));
assert_div_to(Integer("234567909876"), Integer("-234567898"), Integer(-1000), Integer("11876"));
assert_div_to(Integer("-567"), Integer("-12"), Integer(48), Integer("9"));
assert_div_to(Integer("-576"), Integer("-12"), Integer(48), Integer("0"));
assert_div_to(Integer("576"), Integer("-12"), Integer(-48), Integer("0"));
assert_div_to(Integer("-576"), Integer("12"), Integer(-48), Integer("0"));
assert_div_to(Integer("12345678910111213141516171819202122232425"), Integer("10"), Integer("1234567891011121314151617181920212223242"), Integer("5"));
assert_div_to(Integer("1234567891011121314151617181920212223242"), Integer("10"), Integer("123456789101112131415161718192021222324"), Integer("2"));
assert_div_to(Integer("123456789101112131415161718192021222324"), Integer("10"), Integer("12345678910111213141516171819202122232"), Integer("4"));
assert_div_to(Integer("12345678910111213141516171819202122232"), Integer("10"), Integer("1234567891011121314151617181920212223"), Integer("2"));
assert_div_to(Integer("1234567891011121314151617181920212223"), Integer("10"), Integer("123456789101112131415161718192021222"), Integer("3"));
assert_div_to(Integer("123456789101112131415161718192021222"), Integer("10"), Integer("12345678910111213141516171819202122"), Integer("2"));
assert_div_to(Integer("12345678910111213141516171819202122"), Integer("10"), Integer("1234567891011121314151617181920212"), Integer("2"));
assert_div_to(Integer("0"), Integer("-10"), Integer("0"), Integer("0"));
assert_div_to(Integer("0"), Integer("-123456789098760"), Integer("0"), Integer("0"));
assert_div_to(Integer("2305843009213693952"), Integer("2305843009213693921"), Integer("1"), Integer("31"));
}
#if 0
template<typename T>
void assert_integer_evals_to(const char * i, bool negative, T result) {
assert(Integer(i, negative).approximate<T>() == result);
}
#endif
QUIZ_CASE(poincare_integer_evaluate) {
#if 0
assert_integer_evals_to("1", false, 1.0f);
assert_integer_evals_to("1", false, 1.0);
assert_integer_evals_to("12345678", false, 12345678.0f);
assert_integer_evals_to("12345678", false, 12345678.0);
assert_integer_evals_to("0", false, 0.0f);
assert_integer_evals_to("0", false, 0.0);
assert_integer_evals_to("0", true, 0.0f);
assert_integer_evals_to("0", true, 0.0);
assert_integer_evals_to("1", true, -1.0f);
assert_integer_evals_to("1", true, -1.0);
assert_integer_evals_to("12345678", false, 12345678.0f);
assert_integer_evals_to("12345678", false, 12345678.0);
assert_integer_evals_to("4294967295", false, 4294967295.0f);
assert_integer_evals_to("4294967295", false, 4294967295.0);
assert_integer_evals_to("4294967296", true, -4294967296.0f);
assert_integer_evals_to("4294967296", true, -4294967296.0);
assert_integer_evals_to("2147483648", false, 2147483648.0f);
assert_integer_evals_to("2147483648", false, 2147483648.0);
assert_integer_evals_to("18446744073709551615", true, -18446744073709551615.0f);
assert_integer_evals_to("18446744073709551615", true, -18446744073709551615.0);
assert_integer_evals_to("18446744073709551616", true, -18446744073709551616.0f);
assert_integer_evals_to("18446744073709551616", true, -18446744073709551616.0);
assert_integer_evals_to("92233720372036854775808", false, 92233720372036854775808.0f);
assert_integer_evals_to("92233720372036854775808", false, 92233720372036854775808.0);
assert_integer_evals_to("134217720", false, 134217720.0f);
assert_integer_evals_to("134217720", false, 134217720.0);
assert_integer_evals_to("67108864", false, 67108864.0f);
assert_integer_evals_to("67108864", false, 67108864.0);
assert_integer_evals_to("33554432", false, 33554432.0f);
assert_integer_evals_to("33554432", false, 33554432.0);
assert_integer_evals_to("2", false, 2.0f);
assert_integer_evals_to("2", false, 2.0);
assert_integer_evals_to("4", false, 4.0f);
assert_integer_evals_to("4", false, 4.0);
#endif
}