531 lines
13 KiB
C++
531 lines
13 KiB
C++
#include <QtTest>
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#include <QDebug>
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#include "fraction.hpp"
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using namespace FractionNS;
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class FractionTest : public QObject {
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Q_OBJECT
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public:
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FractionTest();
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~FractionTest();
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private slots:
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void test_constructor();
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void test_display();
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void test_equivalence();
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void test_addition();
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void test_inequivalence();
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void test_substraction();
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void test_multiplication();
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void test_division();
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void test_negation();
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void test_unary_plus();
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void test_less_than();
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void test_greater_than();
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void test_less_than_or_equal();
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void test_greater_than_or_equal();
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void test_inverse();
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void test_pow();
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void test_math_methods();
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void test_increment();
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void test_decrement();
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};
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FractionTest::FractionTest() {
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qDebug();
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};
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FractionTest::~FractionTest() {};
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void FractionTest::test_constructor() {
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// Normal fraction
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Fraction f1 = Fraction(1, 2);
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QCOMPARE(f1.getNumerator(), 1);
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QCOMPARE(f1.getDenominator(), 2);
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// Reducible fraction
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Fraction f2 = Fraction(2, 4);
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QCOMPARE(f2.getNumerator(), 1);
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QCOMPARE(f2.getDenominator(), 2);
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// Negative fractions
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Fraction f3 = Fraction(-1, 3);
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QCOMPARE(f3.getNumerator(), -1);
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QCOMPARE(f3.getDenominator(), 3);
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Fraction f4 = Fraction(1, -3);
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QCOMPARE(f4.getNumerator(), -1);
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QCOMPARE(f4.getDenominator(), 3);
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// Double negative (positive) fraction
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Fraction f5 = Fraction(-2, -3);
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QCOMPARE(f5.getNumerator(), 2);
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QCOMPARE(f5.getDenominator(), 3);
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// Zero
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Fraction f6 = Fraction(0);
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QCOMPARE(f6.getNumerator(), 0);
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Fraction f7 = Fraction(0, 3);
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QCOMPARE(f7.getNumerator(), 0);
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QCOMPARE(f6.getDenominator(), f7.getDenominator());
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// Invalid zero fraction
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bool threw_divide_by_zero_error = false;
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try {
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Fraction(2, 0);
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} catch (const divide_by_zero_error&) {
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threw_divide_by_zero_error = true;
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}
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QVERIFY(threw_divide_by_zero_error);
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}
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void FractionTest::test_display() {
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// Normal fraction
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Fraction f1 = Fraction(1, 2);
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QCOMPARE(f1.display(), "1/2");
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Fraction f2 = Fraction(1, 3);
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QCOMPARE(f2.display(), "1/3");
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// Fractions that reduce
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Fraction f3 = Fraction(2, 4);
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QCOMPARE(f3.display(), "1/2");
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Fraction f4 = Fraction(982929, 123456);
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QCOMPARE(f4.display(), "327643/41152");
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// Negative Fractions
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Fraction f5 = Fraction(-5, 2);
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QCOMPARE(f5.display(), "-5/2");
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}
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void FractionTest::test_equivalence() {
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Fraction f1 = Fraction(1, 1);
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Fraction f2 = Fraction(1, 1);
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Fraction f3 = Fraction(-1, 1);
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QCOMPARE(f1, f2);
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QCOMPARE(f1, 1);
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QCOMPARE(f1, 1.0);
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QCOMPARE(f1, 1.0f);
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QCOMPARE(f2, 1);
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QCOMPARE(f2, 1.0);
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QCOMPARE(f2, 1.0f);
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QCOMPARE(f3, -1);
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QCOMPARE(f3, -1.0);
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QCOMPARE(f3, -1.0f);
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Fraction f4 = Fraction(2, 3);
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Fraction f5 = Fraction(-2, 3);
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Fraction f6 = Fraction(2, -3);
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Fraction f7 = Fraction(-2, -3);
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QCOMPARE(f4, f7);
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QCOMPARE(f5, f6);
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QCOMPARE(f4, 2.0f / 3.0f);
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QCOMPARE(f4, 2.0 / 3.0);
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QCOMPARE(f7, 2.0f / 3.0f);
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QCOMPARE(f7, 2.0 / 3.0);
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QCOMPARE(f5, -2.0f / 3.0f);
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QCOMPARE(f5, -2.0 / 3.0);
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QCOMPARE(f6, -2.0f / 3.0f);
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QCOMPARE(f6, -2.0 / 3.0);
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}
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void FractionTest::test_inequivalence() {
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Fraction f1 = Fraction(1, 1);
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Fraction f2 = Fraction(-1, 1);
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Fraction f3 = Fraction(2, 3);
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QVERIFY(f1 != f2);
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QVERIFY(f2 != f3);
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QVERIFY(f3 != f1);
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QVERIFY(f3 != 1);
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QVERIFY(f3 != 1.0);
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QVERIFY(f3 != 1.0f);
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}
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void FractionTest::test_addition() {
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Fraction f1 = Fraction(1, 2);
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QCOMPARE(f1 + 1, 1.5f);
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QCOMPARE(f1, 0.5f);
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f1 += 1;
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QCOMPARE(f1, 1.5);
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Fraction f2 = Fraction(1, 2);
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QCOMPARE(f2 + 1, 1.5f);
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QCOMPARE(f2, 0.5f);
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Fraction f3 = Fraction(-2, 9);
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QCOMPARE(f3, -(2.0 / 9.0));
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QCOMPARE(f3, -(2.0f / 9.0f));
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f3 += Fraction(2, 9);
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QCOMPARE(f3, 0);
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QCOMPARE(f3, 0.0);
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QCOMPARE(f3, 0.0f);
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}
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void FractionTest::test_substraction() {
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Fraction f1 = Fraction(11) - 10;
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QCOMPARE(f1, 1);
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Fraction f2 = Fraction(2, 3);
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QCOMPARE(f1 - f2, Fraction(1, 3));
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QCOMPARE(f2 - f1, Fraction(-1, 3));
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Fraction f3 = Fraction(8, 3);
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f3 -= Fraction(2, 3);
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QCOMPARE(f3, Fraction(6, 3));
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Fraction f4 = Fraction(9, 3);
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f4 -= 3;
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QCOMPARE(f4, 0);
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Fraction f5 = Fraction(8, 3);
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// (8/3) - ((2/3) - 1)
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//=(8/3) + (1/3)
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//= 9/3
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//= 3
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f5 -= Fraction(2, 3) - 1;
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QCOMPARE(f5, 3);
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Fraction f6 = Fraction(-2, 199);
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// (-2/199) + 8
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//=(-2/199) + (1592/199
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//=(1590/199)
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f6 -= Fraction(-4) - 4;
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QCOMPARE(f6, Fraction(1590, 199));
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}
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void FractionTest::test_multiplication() {
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Fraction f1 = Fraction(1, 1);
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const Fraction f2 = Fraction(2, 1);
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QCOMPARE(f1 * 2, f2);
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f1 *= 2;
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QCOMPARE(f1, f2);
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f1 *= 3;
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QCOMPARE(f1, 6);
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QCOMPARE(f1 * Fraction(2, 3), 4);
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}
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void FractionTest::test_division() {
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Fraction f1 = Fraction(1, 1);
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const Fraction f2 = Fraction(1, 2);
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QCOMPARE(f1 / 2, f2);
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f1 /= 2;
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QCOMPARE(f1, 0.5);
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QCOMPARE(f1 / 2, 0.25);
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QCOMPARE((f1 / 2) / Fraction(2, 3), Fraction(3, 8));
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}
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void FractionTest::test_negation() {
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const Fraction f1 = Fraction(-1, 2);
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const Fraction f2 = Fraction(1, 2);
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QCOMPARE(-f1, f2);
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QCOMPARE(-f2, f1);
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}
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void FractionTest::test_unary_plus() {
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const Fraction f1 = Fraction(2, 3);
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const Fraction f2 = +f1;
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QCOMPARE(f1, f2);
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// Check that it's actually a new Fraction.
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QVERIFY(&f1 != &f2);
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}
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void FractionTest::test_less_than() {
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const Fraction f1 = Fraction(9, 2);
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QVERIFY(f1 < 5);
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QVERIFY(f1 < 9.0);
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QVERIFY(f1 < 6.0f);
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QVERIFY(!(f1 < (9.0/2.0)));
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QVERIFY(!(f1 < 0));
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const Fraction large_positive = Fraction(1000000, 17);
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const Fraction positive = Fraction(9, 8);
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const Fraction zero = Fraction(0);
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const Fraction negative = Fraction(-9, 8);
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const Fraction large_negative = Fraction(-1000000, 17);
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QVERIFY(large_negative < large_positive);
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QVERIFY(negative < large_positive);
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QVERIFY(zero < large_positive);
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QVERIFY(positive < large_positive);
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QVERIFY(!(large_positive < large_positive));
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QVERIFY(large_negative < positive);
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QVERIFY(negative < positive);
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QVERIFY(zero < positive);
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QVERIFY(!(positive < positive));
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QVERIFY(!(large_positive < positive));
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QVERIFY(large_negative < zero);
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QVERIFY(negative < zero);
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QVERIFY(!(zero < zero));
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QVERIFY(!(positive < zero));
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QVERIFY(!(large_positive < zero));
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QVERIFY(large_negative < negative);
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QVERIFY(!(negative < negative));
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QVERIFY(!(zero < negative));
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QVERIFY(!(positive < negative));
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QVERIFY(!(large_positive < negative));
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QVERIFY(!(large_negative < large_negative));
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QVERIFY(!(negative < large_negative));
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QVERIFY(!(zero < large_negative));
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QVERIFY(!(positive < large_negative));
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QVERIFY(!(large_positive < large_negative));
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}
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void FractionTest::test_greater_than() {
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const Fraction f1 = Fraction(-9, 2);
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QVERIFY(f1 > -5);
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QVERIFY(f1 > -9.0);
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QVERIFY(f1 > -6.0f);
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QVERIFY(!(f1 > -(9.0/2.0)));
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QVERIFY(!(f1 > 0));
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const Fraction large_positive = Fraction(1000000, 17);
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const Fraction positive = Fraction(9, 8);
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const Fraction zero = Fraction(0);
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const Fraction negative = Fraction(-9, 8);
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const Fraction large_negative = Fraction(-1000000, 17);
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QVERIFY(!(large_negative > large_negative));
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QVERIFY(negative > large_negative);
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QVERIFY(zero > large_negative);
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QVERIFY(positive > large_negative);
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QVERIFY(large_positive > large_negative);
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QVERIFY(!(large_negative > negative));
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QVERIFY(!(negative > negative));
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QVERIFY(zero > negative);
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QVERIFY(positive > negative);
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QVERIFY(large_positive > negative);
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QVERIFY(!(large_negative > zero));
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QVERIFY(!(negative > zero));
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QVERIFY(!(zero > zero));
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QVERIFY(positive > zero);
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QVERIFY(large_positive > zero);
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QVERIFY(!(large_negative > positive));
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QVERIFY(!(negative > positive));
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QVERIFY(!(zero > positive));
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QVERIFY(!(positive > positive));
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QVERIFY(large_positive > positive);
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QVERIFY(!(large_negative > large_positive));
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QVERIFY(!(negative > large_positive));
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QVERIFY(!(zero > large_positive));
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QVERIFY(!(positive > large_positive));
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QVERIFY(!(large_positive > large_positive));
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}
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void FractionTest::test_less_than_or_equal() {
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const Fraction f1 = Fraction(9, 2);
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QVERIFY(f1 <= 5);
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QVERIFY(f1 <= 9.0);
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QVERIFY(f1 <= 6.0f);
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QVERIFY(f1 <= (9.0 / 2.0));
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QVERIFY(!(f1 <= 0));
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const Fraction large_positive = Fraction(1000000, 17);
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const Fraction positive = Fraction(9, 8);
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const Fraction zero = Fraction(0);
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const Fraction negative = Fraction(-9, 8);
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const Fraction large_negative = Fraction(-1000000, 17);
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QVERIFY(large_negative <= large_positive);
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QVERIFY(negative <= large_positive);
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QVERIFY(zero <= large_positive);
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QVERIFY(positive <= large_positive);
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QVERIFY(large_positive <= large_positive);
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QVERIFY(large_negative <= positive);
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QVERIFY(negative <= positive);
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QVERIFY(zero <= positive);
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QVERIFY(positive <= positive);
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QVERIFY(!(large_positive <= positive));
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QVERIFY(large_negative <= zero);
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QVERIFY(negative <= zero);
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QVERIFY(zero <= zero);
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QVERIFY(!(positive <= zero));
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QVERIFY(!(large_positive <= zero));
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QVERIFY(large_negative <= negative);
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QVERIFY(negative <= negative);
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QVERIFY(!(zero <= negative));
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QVERIFY(!(positive <= negative));
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QVERIFY(!(large_positive <= negative));
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QVERIFY(large_negative <= large_negative);
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QVERIFY(!(negative <= large_negative));
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QVERIFY(!(zero <= large_negative));
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QVERIFY(!(positive <= large_negative));
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QVERIFY(!(large_positive <= large_negative));
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}
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void FractionTest::test_greater_than_or_equal() {
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const Fraction f1 = Fraction(-9, 2);
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QVERIFY(f1 >= -5);
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QVERIFY(f1 >= -9.0);
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QVERIFY(f1 >= -6.0f);
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QVERIFY(f1 >= -(9.0 / 2.0));
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QVERIFY(!(f1 >= 0));
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const Fraction large_positive = Fraction(1000000, 17);
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const Fraction positive = Fraction(9, 8);
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const Fraction zero = Fraction(0);
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const Fraction negative = Fraction(-9, 8);
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const Fraction large_negative = Fraction(-1000000, 17);
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QVERIFY(large_negative >= large_negative);
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QVERIFY(negative >= large_negative);
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QVERIFY(zero >= large_negative);
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QVERIFY(positive >= large_negative);
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QVERIFY(large_positive >= large_negative);
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QVERIFY(!(large_negative >= negative));
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QVERIFY(negative >= negative);
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QVERIFY(zero >= negative);
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QVERIFY(positive >= negative);
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QVERIFY(large_positive >= negative);
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QVERIFY(!(large_negative >= zero));
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QVERIFY(!(negative >= zero));
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QVERIFY(zero >= zero);
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QVERIFY(positive >= zero);
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QVERIFY(large_positive >= zero);
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QVERIFY(!(large_negative >= positive));
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QVERIFY(!(negative >= positive));
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QVERIFY(!(zero >= positive));
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QVERIFY(positive >= positive);
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QVERIFY(large_positive >= positive);
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QVERIFY(!(large_negative >= large_positive));
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QVERIFY(!(negative >= large_positive));
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QVERIFY(!(zero >= large_positive));
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QVERIFY(!(positive >= large_positive));
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QVERIFY(large_positive >= large_positive);
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}
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void FractionTest::test_inverse() {
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const Fraction f1 = Fraction(3, 2);
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const Fraction f2 = Fraction(2, 3);
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QCOMPARE(f1.inv(), f2);
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QCOMPARE(f2.inv(), f1);
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const Fraction f3 = Fraction(0, 2);
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bool threw_divide_by_zero_error = false;
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try {
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f3.inv();
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} catch (const divide_by_zero_error&) {
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threw_divide_by_zero_error = true;
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}
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QVERIFY(threw_divide_by_zero_error);
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}
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void FractionTest::test_pow() {
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const Fraction f1 = Fraction(2, 3);
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const Fraction f2 = Fraction(3, 2);
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const Fraction f3 = Fraction(4, 9);
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const Fraction f4 = Fraction(9, 4);
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QCOMPARE(f3, f1.pow(2));
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QCOMPARE(f4, f2.pow(2));
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const Fraction f5 = Fraction(9);
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const Fraction f6 = Fraction(1, 9);
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const Fraction f7 = Fraction(1, 81);
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// x ** -y = (1 / x) ** y
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QCOMPARE(f6, f5.pow(-1));
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QCOMPARE(f7, f5.pow(-2));
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const Fraction f8 = Fraction(16);
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// x ** (1/y) = root_y(x)
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QCOMPARE(f8.pow(Fraction(1, 2)), 4.0);
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// x ** 0 = 1; (where x != 0 and x ∈ R)
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// 0 ** 0 depends on context
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QCOMPARE(f1.pow(0), 1.0);
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bool threw_not_defined_error = false;
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try {
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Fraction(0, 2).pow(0);
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} catch (const not_defined_error&) {
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threw_not_defined_error = true;
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}
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QVERIFY(threw_not_defined_error);
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bool threw_not_real_error = false;
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try {
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Fraction(0, 1).pow(-1);
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} catch (const not_real_error&) {
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threw_not_real_error = true;
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}
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QVERIFY(threw_not_real_error);
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}
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void FractionTest::test_math_methods() {
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const Fraction f1 = Fraction(9, 7);
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const Fraction f2 = Fraction(3, 1);
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QCOMPARE(f1 + 3, f1.add(3));
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QCOMPARE(f1 + f2, f1.add(f2));
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QCOMPARE(f1 - 3, f1.sub(3));
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QCOMPARE(f1 - f2, f1.sub(f2));
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QCOMPARE(f1 * 3, f1.mul(3));
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QCOMPARE(f1 * f2, f1.mul(f2));
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QCOMPARE(f1 / 3, f1.div(3));
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QCOMPARE(f1 / f2, f1.div(f2));
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}
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void FractionTest::test_increment() {
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Fraction f1 = Fraction(2);
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const Fraction f2 = f1 + 1;
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const Fraction f3 = f2 + 1;
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const Fraction f4 = f3 + 1;
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QCOMPARE(++f1, f2);
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QCOMPARE(f1++, f2);
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QCOMPARE(f1, f3);
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QCOMPARE(f1.inc(), f4);
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}
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void FractionTest::test_decrement() {
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Fraction f1 = Fraction(2);
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const Fraction f2 = f1 - 1;
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const Fraction f3 = f2 - 1;
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const Fraction f4 = f3 - 1;
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QCOMPARE(--f1, f2);
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QCOMPARE(f1--, f2);
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QCOMPARE(f1, f3);
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QCOMPARE(f1.dec(), f4);
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}
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QTEST_APPLESS_MAIN(FractionTest)
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#include "tst_fractiontest.moc"
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