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Tobias Berger 2021-09-20 16:34:45 +02:00
parent 7979b31d9b
commit e55d2843f6
4 changed files with 197 additions and 158 deletions
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159
FractionTask.pro.user
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@ -1,10 +1,10 @@
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117
fraction.cpp
View file

@ -3,6 +3,8 @@
namespace FractionNS {
int gcd(int p, int q) {
if(p < 0) p = -p;
if(q < 0) q = -q;
while(true) {
if(p == 0) return q;
q %= p;
@ -17,32 +19,36 @@ namespace FractionNS {
return gcd != 0 ? (p / gcd * q) : 0;
}
int abs(int n) {
if(n < 0) return -n;
return n;
}
void Fraction::reduce()
{
auto gcd = FractionNS::gcd(m_numerator, m_denominator);
if((gcd == 1 && m_denominator >= 0) || gcd == 0) return;
if(gcd == 1 && m_denominator < 0) {
m_numerator = -m_numerator;
m_denominator = -m_denominator;
}
else if(m_denominator < 0)
{
m_numerator = -m_numerator / gcd;
m_denominator = -m_denominator / gcd;
} else {
m_numerator /= gcd;
m_denominator /= gcd;
}
}
Fraction::Fraction(int numerator, int denominator)
{
auto gcd = FractionNS::gcd(FractionNS::abs(numerator), FractionNS::abs(denominator));
if(denominator < 0) {
numerator *= -1;
denominator *= -1;
if(denominator == 0) throw std::range_error("Tried to divide by 0.");
this->m_numerator = numerator;
this->m_denominator = denominator;
reduce();
}
this->m_numerator = numerator / gcd;
this->m_denominator = denominator / gcd;
}
Fraction::Fraction(int n) {
Fraction::Fraction(const int n) {
this->m_numerator = n;
this->m_denominator = 1;
}
Fraction::Fraction(float n) {
// TODO
throw std::runtime_error("Not yet implemented");
}
Fraction::Fraction(const Fraction& n) {
this->m_numerator = n.getNumerator();
this->m_denominator = n.getDenominator();
@ -52,11 +58,12 @@ namespace FractionNS {
int Fraction::getDenominator() const { return m_denominator; }
void Fraction::setNumerator(int numerator) {
auto gcd = std::__gcd(numerator, this->m_denominator);
auto gcd = FractionNS::gcd(numerator, this->m_denominator);
this->m_numerator = numerator / gcd;
}
void Fraction::setDenominator(int denominator) {
auto gcd = std::__gcd(this->m_numerator, denominator);
if(denominator == 0) throw std::range_error("Tried to divide by 0.");
auto gcd = FractionNS::gcd(this->m_numerator, denominator);
this->m_denominator = denominator / gcd;
}
@ -68,7 +75,7 @@ namespace FractionNS {
return (double(m_numerator) / double(m_denominator)) == n;
}
bool Fraction::operator==(const float n) const {
return (double(m_numerator) / double(m_denominator)) == n;
return (float(m_numerator) / float(m_denominator)) == n;
}
bool Fraction::operator==(const double n) const {
return (double(m_numerator) / double(m_denominator)) == n;
@ -93,16 +100,66 @@ namespace FractionNS {
}
Fraction& Fraction::operator+(const int n) const {
return Fraction(n) + *this;
}
Fraction& Fraction::operator+(const float n) const {
return Fraction(n) + *this;
}
Fraction& Fraction::operator+(const double n) const {
return Fraction(n) + *this;
auto newNumerator = m_numerator + (n * m_denominator);
return *new Fraction(newNumerator, m_denominator);
}
Fraction& Fraction::operator+(const Fraction& other) const {
auto lcm = FractionNS::lcm(getDenominator(), other.getDenominator());
return *new Fraction((getNumerator() + other.getNumerator()) * lcm, getDenominator() * lcm);
auto lcm = FractionNS::lcm(m_denominator, other.getDenominator());
auto ownNumeratorPart = m_numerator * (lcm / m_denominator);
auto otherNumeratorPart = other.getNumerator() * (lcm / other.getDenominator());
return *new Fraction(ownNumeratorPart + otherNumeratorPart, lcm);
}
Fraction& Fraction::operator+=(const int other) {
this->m_numerator = m_numerator + (other * m_denominator);
reduce();
return *this;
}
Fraction& Fraction::operator+=(const Fraction& other) {
// Sanity check for Clang
// Not strictly necessary since setting to 0 is checked against in setDenominator and constructor(s).
if(other.getDenominator() == 0) return *this;
auto lcm = FractionNS::lcm(m_denominator, other.getDenominator());
auto ownNumeratorPart = m_numerator * (lcm / m_denominator);
auto otherNumeratorPart = other.getNumerator() * (lcm / other.getDenominator());
this->m_numerator = ownNumeratorPart + otherNumeratorPart;
this->m_denominator = lcm;
reduce();
return *this;
}
Fraction& Fraction::operator-(const int n) const {
auto newNumerator = m_numerator - (n * m_denominator);
return *new Fraction(newNumerator, m_denominator);
};
Fraction& Fraction::operator-(const Fraction& other) const {
auto lcm = FractionNS::lcm(m_denominator, other.getDenominator());
auto ownNumeratorPart = m_numerator * (lcm / m_denominator);
auto otherNumeratorPart = other.getNumerator() * (lcm / other.getDenominator());
return *new Fraction(ownNumeratorPart - otherNumeratorPart, lcm);
}
Fraction& Fraction::operator-=(const int n) {
auto newNumerator = m_numerator - (n * m_denominator);
return *new Fraction(newNumerator, m_denominator);
};
Fraction& Fraction::operator-=(const Fraction& other) {
// Sanity check for Clang
// Not strictly necessary since setting to 0 is checked against in setDenominator and constructor(s).
if(other.getDenominator() == 0) return *this;
auto lcm = FractionNS::lcm(m_denominator, other.getDenominator());
auto ownNumeratorPart = m_numerator * (lcm / m_denominator);
auto otherNumeratorPart = other.getNumerator() * (lcm / other.getDenominator());
return *new Fraction(ownNumeratorPart - otherNumeratorPart, lcm);
}
}

11
fraction.hpp
View file

@ -7,6 +7,7 @@ namespace FractionNS {
{
private:
int m_numerator, m_denominator;
void reduce();
public:
Fraction(int, int);
Fraction(int);
@ -32,13 +33,15 @@ namespace FractionNS {
bool operator!=(const Fraction&) const;
Fraction& operator+(const int) const;
Fraction& operator+(const float) const;
Fraction& operator+(const double) const;
Fraction& operator+(const Fraction&) const;
Fraction& operator+=(const int);
Fraction& operator+=(const float);
Fraction& operator+=(const double);
Fraction& operator+=(const Fraction&);
Fraction& operator-(const int) const;
Fraction& operator-(const Fraction&) const;
Fraction& operator-=(const int);
Fraction& operator-=(const Fraction&);
};
}

58
tst_fractiontest.cpp
View file

@ -1,4 +1,5 @@
#include <QtTest>
#include <QDebug>
#include "fraction.hpp"
@ -18,6 +19,7 @@ private slots:
void test_equivalence();
void test_addition();
void test_inequivalence();
void test_substraction();
};
FractionTest::FractionTest()
@ -95,11 +97,33 @@ void FractionTest::test_equivalence()
QCOMPARE(f3, -1);
QCOMPARE(f3, -1.0);
QCOMPARE(f3, -1.0f);
Fraction f4 = Fraction(2, 3);
Fraction f5 = Fraction(-2, 3);
Fraction f6 = Fraction(2, -3);
Fraction f7 = Fraction(-2, -3);
QCOMPARE(f4, f7);
QCOMPARE(f5, f6);
QCOMPARE(f4, 2.0f/3.0f);
QCOMPARE(f4, 2.0/3.0);
QCOMPARE(f7, 2.0f/3.0f);
QCOMPARE(f7, 2.0/3.0);
QCOMPARE(f5, -2.0f/3.0f);
QCOMPARE(f5, -2.0/3.0);
QCOMPARE(f6, -2.0f/3.0f);
QCOMPARE(f6, -2.0/3.0);
}
void FractionTest::test_inequivalence() {
Fraction f1 = Fraction(1, 1);
Fraction f2 = Fraction(-1, 1);
Fraction f3 = Fraction(2, 3);
QVERIFY(f1 != f2);
QVERIFY(f2 != f3);
QVERIFY(f3 != f1);
@ -112,13 +136,39 @@ void FractionTest::test_inequivalence() {
void FractionTest::test_addition()
{
Fraction f1 = Fraction(1, 2);
QCOMPARE(f1 + 1.0f, 1.5f);
f1 += 1.0f;
QCOMPARE(f1 + 1, 1.5f);
QCOMPARE(f1, 0.5f);
f1 += 1;
QCOMPARE(f1, 1.5);
Fraction f2 = Fraction(1, 2);
QCOMPARE(f2 + 1.0f, 1.5f);
QCOMPARE(f2, 1.0f);
QCOMPARE(f2 + 1, 1.5f);
QCOMPARE(f2, 0.5f);
Fraction f3 = Fraction(-2, 9);
QCOMPARE(f3, -(2.0/9.0));
QCOMPARE(f3, -(2.0f/9.0f));
f3 += Fraction(2, 9);
QCOMPARE(f3, 0);
QCOMPARE(f3, 0.0);
QCOMPARE(f3, 0.0f);
}
void FractionTest::test_substraction() {
Fraction f1 = Fraction(11) - 10;
QCOMPARE(f1, 1);
Fraction f2 = Fraction(2, 3);
QCOMPARE(f1 - f2, Fraction(1, 3));
QCOMPARE(f2 - f1, Fraction(-1, 3));
Fraction f3 = Fraction(8, 3);
f3 -= Fraction(2, 3);
QCOMPARE(f3, Fraction(6, 3));
Fraction f4 = Fraction(9, 3);
f4 -= 3;
QCOMPARE(f4, 0);
}
QTEST_APPLESS_MAIN(FractionTest)