#include #include #include #include #include "helper.h" #include "tree/helpers.h" using namespace Poincare; QUIZ_CASE(poincare_rational_constructor) { int initialPoolSize = pool_size(); Rational a = Rational::Builder("123","324"); Rational b = Rational::Builder("3456"); Rational c = Rational::Builder(123,324); Rational d = Rational::Builder(3456789); Integer overflow = Integer::Overflow(false); Rational e = Rational::Builder(overflow); Rational f = Rational::Builder(overflow, overflow); assert_pool_size(initialPoolSize+6); } static inline void assert_equal(const Rational i, const Rational j) { quiz_assert(Rational::NaturalOrder(i, j) == 0); } static inline void assert_not_equal(const Rational i, const Rational j) { quiz_assert(Rational::NaturalOrder(i, j) != 0); } static inline void assert_lower(const Rational i, const Rational j) { quiz_assert(Rational::NaturalOrder(i, j) < 0); } static inline void assert_greater(const Rational i, const Rational j) { quiz_assert(Rational::NaturalOrder(i, j) > 0); } QUIZ_CASE(poincare_rational_compare) { assert_equal(Rational::Builder(123,324), Rational::Builder(41,108)); assert_not_equal(Rational::Builder(123,234), Rational::Builder(42, 108)); assert_lower(Rational::Builder(123,234), Rational::Builder(456,567)); assert_lower(Rational::Builder(-123, 234),Rational::Builder(456, 567)); assert_greater(Rational::Builder(123, 234),Rational::Builder(-456, 567)); assert_greater(Rational::Builder(123, 234),Rational::Builder("123456789123456789", "12345678912345678910")); } QUIZ_CASE(poincare_rational_properties) { quiz_assert(Rational::Builder(-2).sign() == ExpressionNode::Sign::Negative); quiz_assert(Rational::Builder(-2, 3).sign() == ExpressionNode::Sign::Negative); quiz_assert(Rational::Builder(2, 3).sign() == ExpressionNode::Sign::Positive); quiz_assert(Rational::Builder(0, 3).sign() == ExpressionNode::Sign::Positive); quiz_assert(Rational::Builder(0).isZero()); quiz_assert(!Rational::Builder(231).isZero()); quiz_assert(Rational::Builder(1).isOne()); quiz_assert(!Rational::Builder(-1).isOne()); quiz_assert(!Rational::Builder(1).isMinusOne()); quiz_assert(Rational::Builder(-1).isMinusOne()); quiz_assert(Rational::Builder(1,2).isHalf()); quiz_assert(!Rational::Builder(-1).isHalf()); quiz_assert(Rational::Builder(-1,2).isMinusHalf()); quiz_assert(!Rational::Builder(3,2).isMinusHalf()); quiz_assert(Rational::Builder(10).isTen()); quiz_assert(!Rational::Builder(-1).isTen()); } static inline void assert_add_to(const Rational i, const Rational j, const Rational k) { quiz_assert(Rational::NaturalOrder(Rational::Addition(i, j), k) == 0); } QUIZ_CASE(poincare_rational_addition) { assert_add_to(Rational::Builder(1,2), Rational::Builder(1), Rational::Builder(3,2)); assert_add_to(Rational::Builder("18446744073709551616","4294967296"), Rational::Builder(8,9), Rational::Builder("38654705672","9")); assert_add_to(Rational::Builder("18446744073709551616","4294967296"), Rational::Builder(-8,9), Rational::Builder("38654705656","9")); } static inline void assert_pow_to(const Rational i,const Integer j, const Rational k) { quiz_assert(Rational::NaturalOrder(Rational::IntegerPower(i, j), k) == 0); } QUIZ_CASE(poincare_rational_power) { assert_pow_to(Rational::Builder(4,5), Rational::Builder(3).signedIntegerNumerator(), Rational::Builder(64,125)); assert_pow_to(Rational::Builder(4,5), Rational::Builder(-3).signedIntegerNumerator(), Rational::Builder(125,64)); } // Simplify QUIZ_CASE(poincare_rational_simplify) { // 1/MaxIntegerString() char buffer[400] = "1/"; strlcpy(buffer+2, MaxIntegerString(), 400-2); assert_parsed_expression_simplify_to(buffer, buffer); // 1/OverflowedIntegerString() strlcpy(buffer+2, BigOverflowedIntegerString(), 400-2); assert_parsed_expression_simplify_to(buffer, "0"); // MaxIntegerString() assert_parsed_expression_simplify_to(MaxIntegerString(), MaxIntegerString()); // OverflowedIntegerString() assert_parsed_expression_simplify_to(BigOverflowedIntegerString(), Infinity::Name()); assert_parsed_expression_simplify_to(BigOverflowedIntegerString(), Infinity::Name()); // -OverflowedIntegerString() buffer[0] = '-'; strlcpy(buffer+1, BigOverflowedIntegerString(), 400-1); assert_parsed_expression_simplify_to(buffer, "-inf"); assert_parsed_expression_simplify_to("-1/3", "-1/3"); assert_parsed_expression_simplify_to("22355/45325", "4471/9065"); assert_parsed_expression_simplify_to("0000.000000", "0"); assert_parsed_expression_simplify_to(".000000", "0"); assert_parsed_expression_simplify_to("0000", "0"); assert_parsed_expression_simplify_to("0.1234567", "1234567/10000000"); assert_parsed_expression_simplify_to("123.4567", "1234567/10000"); assert_parsed_expression_simplify_to("0.1234", "617/5000"); assert_parsed_expression_simplify_to("0.1234000", "617/5000"); assert_parsed_expression_simplify_to("001234000", "1234000"); assert_parsed_expression_simplify_to("001.234000E3", "1234"); assert_parsed_expression_simplify_to("001234000E-4", "617/5"); assert_parsed_expression_simplify_to("3/4+5/4-12+1/567", "-5669/567"); assert_parsed_expression_simplify_to("34/78+67^(-1)", "1178/2613"); assert_parsed_expression_simplify_to("12348/34564", "3087/8641"); assert_parsed_expression_simplify_to("1-0.3-0.7", "0"); assert_parsed_expression_simplify_to("123456789123456789+112233445566778899", "235690234690235688"); assert_parsed_expression_simplify_to("56^56", "79164324866862966607842406018063254671922245312646690223362402918484170424104310169552592050323456"); assert_parsed_expression_simplify_to("999^999", "999^999"); assert_parsed_expression_simplify_to("999^-999", "1/999^999"); assert_parsed_expression_simplify_to("0^0", Undefined::Name()); assert_parsed_expression_simplify_to("x^0", "1"); assert_parsed_expression_simplify_to("P^0", "1"); assert_parsed_expression_simplify_to("A^0", "1"); assert_parsed_expression_simplify_to("(-3)^0", "1"); } QUIZ_CASE(poincare_rational_approximate) { assert_parsed_expression_evaluates_to("1/3", "0.3333333"); assert_parsed_expression_evaluates_to("123456/1234567", "9.9999432999586E-2"); } //Serialize QUIZ_CASE(poincare_rational_serialize) { assert_parsed_expression_serialize_to(Rational::Builder(-2, 3), "-2/3"); assert_parsed_expression_serialize_to(Rational::Builder("2345678909876"), "2345678909876"); assert_parsed_expression_serialize_to(Rational::Builder("-2345678909876", "5"), "-2345678909876/5"); assert_parsed_expression_serialize_to(Rational::Builder(MaxIntegerString()), MaxIntegerString()); Integer one(1); Integer overflow = Integer::Overflow(false); assert_parsed_expression_serialize_to(Rational::Builder(one, overflow), "1/inf"); assert_parsed_expression_serialize_to(Rational::Builder(overflow), Infinity::Name()); }